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In natural systems, a 1NT opening bid usually reflects a hand that has a relatively balanced shape (usually between two and four (or less often five) cards in each suit) and a sharply limited number of high card points, usually somewhere between 12 and 18 – the most common ranges use a span of exactly three points (for example, 12–14, 15–17 or 16–18), but some systems use a four-point range, usually 15–18.
Opening bids of three or higher are preemptive bids, i.e., bids made with weak hands that especially favor a particular suit, opened at a high level in order to define the hand's value quickly and to frustrate the opposition. For example, a hand of would be a candidate for an opening bid of 3, designed to make it difficult for the opposing team to bid and find their optimum contract even if they have the bulk of the points. This hand is nearly valueless unless spades are trumps but it contains good enough spades that the penalty for being set should not be higher than the value of an opponent game. The high card weakness makes it likely that the opponents have enough strength to make game themselves.
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Openings at the 2 level are either unusually strong (2NT, natural, and 2, artificial) or preemptive, depending on the system. Unusually strong bids communicate an especially high number of points (normally 20 or more) or a high trick-taking potential (normally 8 or more). Also 2 as the strongest (by HCP and by DP+HCP) has become more common, perhaps especially at websites that offer duplicate bridge. Here the 2 opening is used for either hands with a good 6-card suit or longer (max one losing card) and a total of 18 HCP up to 23 total points – or "NT", like 2NT but with 22–23 HCP. Whilst the 2 opening bid takes care of all hands with 24 points (HCP or with distribution points included) with the only exception of "Gambling 3NT".
Opening bids at the one level are made with hands containing 12–13 points or more and which are not suitable for one of the preceding bids. Using Standard American with 5-card majors, opening hearts or spades usually promises a 5-card suit. Partnerships who agree to play 5-card majors open a minor suit with 4-card majors and then bid their major suit at the next opportunity. This means that an opening bid of 1 or 1 will sometimes be made with only 3 cards in that suit.
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Doubles are sometimes given conventional meanings in otherwise mostly natural systems. A natural, or "penalty" double, is one used to try to gain extra points when the defenders are confident of setting (defeating) the contract. The most common example of a conventional double is the takeout double of a low-level suit bid, implying support for the unbid suits or the unbid major suits and asking partner to choose one of them.
Basic variations.
Bidding systems depart from these basic ideas in varying degrees. Standard American, for instance, is a collection of conventions designed to bolster the accuracy and power of these basic ideas, while Precision Club is a system that uses the 1 opening bid for all or almost all strong hands (but sets the threshold for "strong" rather lower than most other systems – usually 16 high card points) and may include other artificial calls to handle other situations (but it may contain natural calls as well). Many experts today use a system called 2/1 game forcing (enunciated as two over one game forcing), which amongst other features adds some complexity to the treatment of the one notrump response as used in Standard American. In the UK, Acol is the most common system; its main features are a weak one notrump opening with 12–14 high card points and several variations for 2-level openings.
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There are also a variety of advanced techniques used for hand evaluation. The most basic is the Milton Work point count, (the 4-3-2-1 system detailed above) but this is sometimes modified in various ways, or either augmented or replaced by other approaches such as losing trick count, honor point count, law of total tricks, or Zar Points.
Common conventions and variations within natural systems include:
Within play, it is also commonly agreed what systems of opening leads, signals and discards will be played:
Advanced techniques.
Every call (including "pass", also sometimes called "no bid") serves two purposes. It confirms or passes some information to a partner, and, by implication, denies any other kind of hand which would have tended to support an alternative call. For example, a bid of 2NT immediately after partner's 1NT not only shows a balanced hand of a certain point range, but also almost always denies possession of a five-card major suit (otherwise the player would have bid it) or even a four card major suit (in that case, the player should use the Stayman convention).
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Likewise, in some partnerships the bid of 2 in the sequence 1NT–2–2–2 between partners (opponents passing throughout) explicitly shows five hearts but also confirms four cards in spades: the bidder must hold at least five hearts to make it worth looking for a heart fit after 2 denied a four card major, and with at least five hearts, a Stayman bid must have been justified by having exactly four spades, the other major (since Stayman (as used by this partnership) is not useful with anything except a four card major suit). Thus an astute partner can read much more than the surface meaning into the bidding. Alternatively, many partnerships play this same bidding sequence as "Crawling Stayman" by which the responder shows a weak hand (less than eight high card points) with shortness in diamonds but at least four hearts and four spades; the opening bidder may correct to spades if that appears to be the better contract.
The situations detailed here are extremely simple examples; many instances of advanced bidding involve specific agreements related to very specific situations and subtle inferences regarding entire sequences of calls.
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Play techniques.
Terence Reese, a prolific author of bridge books, points out that there are only four ways of taking a trick by force, two of which are very easy:
Nearly all trick-taking techniques in bridge can be reduced to one of these four methods. The optimum play of the cards can require much thought and experience and is the subject of whole books on bridge.
Example.
The cards are dealt as shown in the bridge hand diagram; North is the dealer and starts the auction which proceeds as shown in the bidding table.
As neither North nor East have sufficient strength to "open" the bidding, they each pass, denying such strength. South, next in turn, opens with the bid of 1, which denotes a reasonable heart suit (at least 4 or 5 cards long, depending on the bidding system) and at least 12 high card points. On this hand, South has 14 high card points. West "overcalls" with 1, since he has a long spade suit of reasonable quality and 10 high card points (an overcall can be made on a hand that is not quite strong enough for an opening bid). North "supports" partner's suit with 2, showing heart support and about points. East supports spades with 2. South inserts a "game try" of 3, "inviting" the partner to bid the "game" of 4 with good club support and overall values. North complies, as North is at the higher end of the range for his 2 bid, and has a fourth trump (the 2 bid promised only three), and the "doubleton" queen of clubs to fit with partner's strength there. (North could instead have bid 3, indicating not enough strength for game, asking South to pass and so play 3.)
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In the auction, north–south are trying to investigate whether their cards are sufficient to make a game (nine tricks at notrump, ten tricks in hearts or spades, 11 tricks in clubs or diamonds), which yields bonus points if bid and made. East-West are "competing" in spades, hoping to play a contract in spades at a low level. 4 is the final contract, 10 tricks being required for to make with hearts as trump.
South is the "declarer", having been first to bid hearts, and the player to South's left, West, has to choose the first card in the play, known as the "opening lead". West chooses the spade king because spades is the suit the partnership has shown strength in, and because they have agreed that when they hold two "touching honors" (or "adjacent honors") they will play the higher one first. West plays the card face down, to give their partner and the declarer (but not dummy) a chance to ask any last questions about the bidding or to object if they believe West is not the correct hand to lead. After that, North's cards are laid on the table and North becomes "dummy", as both the North and South hands will be controlled by the declarer. West turns the lead card face up, and the declarer studies the two hands to make a plan for the play. On this hand, the trump ace, a spade, and a diamond trick must be lost, so declarer must not lose a trick in clubs.
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If the K is held by West, South will find it very hard to prevent it from making a trick (unless West leads a club). There is an almost equal chance that it is held by East, in which case it can be trapped against the ace, and will be beaten, using a tactic known as a "finesse".
After considering the cards, the declarer directs dummy (North) to play a small spade. East plays "low" (small card) and South takes the A, gaining the "lead". (South may also elect to "duck", but for the purpose of this example, let us assume South wins the A at trick 1). South proceeds by "drawing trump", leading the K. West decides there is no benefit to holding back, and so wins the trick with the ace, and then cashes the Q. For fear of conceding a "ruff and discard", West plays the 2 instead of another spade. Declarer plays low from the table, and East scores the Q. Not having anything better to do, East returns the remaining trump, taken in South's hand. The trumps now accounted for, South can now execute the finesse, perhaps trapping the king as planned. South "enters" the dummy (i.e. wins a trick in the dummy's hand) by leading a low diamond, using dummy's A to win the trick, and leads the Q from dummy to the next trick. East "covers" the queen with the king, and South takes the trick with the ace, and proceeds by "cashing" the remaining "master" J. (If East does not play the king, then South will play a low club from South's hand and the queen will win anyway, this being the essence of the finesse). The game is now safe: South "ruffs" a small club with a dummy's trump, then ruffs a diamond in hand for an "entry" back, and ruffs the last club in dummy (sometimes described as a "crossruff"). Finally, South "claims" the remaining tricks by showing his or her hand, as it now contains only high trumps and there's no need to play the hand out to prove they are all winners.
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(The trick-by-trick notation used above can be also expressed in tabular form, but a textual explanation is usually preferred in practice, for reader's convenience. Plays of small cards or "discards" are often omitted from such a description, unless they were important for the outcome).
North-South score the required 10 tricks, and their opponents take the remaining three. The contract is fulfilled, and North enters the pair numbers, the contract, and the score of +420 for the winning side (North is in charge of bookkeeping in duplicate tournaments) on the traveling sheet. North asks East to check the score entered on the traveller. All players return their own cards to the board, and the next deal is played.
On the prior hand, it is quite possible that the K is held by West. For example, by swapping the K and A between the defending hands. Then the 4 contract would fail by one trick (unless West had led a club early in the play). The failure of the contract would not mean that 4 was a bad contract on this hand. The contract depends on the club finesse working, or a defense error. The bonus points awarded for making a game contract far outweigh the penalty for going one off, so it is best strategy in the long run to bid game contracts such as this one.
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Similarly, there is a minuscule chance that the K is in the west hand, but the west hand has no other clubs. In that case, declarer can succeed by simply cashing the A, felling the K and setting up the Q as a winner. The chance of this is far lower than the chance that East started with the K. Therefore, the superior percentage play is to take the club finesse, as described above.
Computers.
After many years of little progress, computer bridge made great progress at the end of the 20th century. In 1996, the ACBL initiated the official World Championships Computer Bridge, to be held annually along with a major bridge event. The first Computer Bridge Championship took place in 1997 at the North American Bridge Championships in Albuquerque, New Mexico.
Stand-alone software.
Strong bridge playing programs such as Jack Bridge (World Champion in 2001, 2002, 2003, 2004, 2006, 2009, 2010, 2012, 2013 and 2015) and Wbridge5 (World Champion in 2005, 2007, 2008, 2016, 2017 and 2018), probably rank among the top few thousand human pairs worldwide. A series of articles published in 2005 and 2006 in the Dutch bridge magazine IMP describes matches between Jack Bridge and seven top Dutch pairs. A total of 196 boards were played. Jack Bridge lost, but by a small margin (359 versus 385 IMPs).
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Online play.
There are several free and subscription-based services available for playing bridge on the internet. For example:
Some national contract bridge organizations now offer online bridge play to their members, including the English Bridge Union, the Dutch Bridge Federation and the Australian Bridge Federation. MSN and Yahoo! Games have several online rubber bridge rooms. In 2001, the WBF issued a special edition of the lawbook adapted for internet and other electronic forms of the game. |
Boat
A boat is a watercraft of a large range of types and sizes, but generally smaller than a ship, which is distinguished by its larger size or capacity, its shape, or its ability to carry boats.
Small boats are typically used on inland waterways such as rivers and lakes, or in protected coastal areas. However, some boats (such as whaleboats) were intended for offshore use. In modern naval terms, a boat is a vessel small enough to be carried aboard a ship.
Boats vary in proportion and construction methods with their intended purpose, available materials, or local traditions. Canoes have been used since prehistoric times and remain in use throughout the world for transportation, fishing, and sport. Fishing boats vary widely in style partly to match local conditions. Pleasure craft used in recreational boating include ski boats, pontoon boats, and sailboats. House boats may be used for vacationing or long-term residence. Lighters are used to move cargo to and from large ships unable to get close to shore. Lifeboats have rescue and safety functions.
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Boats can be propelled by manpower (e.g. rowboats and paddle boats), wind (e.g. sailboats), and inboard/outboard motors (including gasoline, diesel, and electric).
History.
Differentiation from other prehistoric watercraft.
The earliest watercraft are considered to have been rafts. These would have been used for voyages such as the settlement of Australia sometime between 50,000 and 60,000 years ago.
A boat differs from a raft by obtaining its buoyancy by having most of its structure exclude water with a waterproof layer, e.g. the planks of a wooden hull, the hide covering (or tarred canvas) of a currach. In contrast, a raft is buoyant because it joins components that are themselves buoyant, for example, logs, bamboo poles, bundles of reeds, floats (such as inflated hides, sealed pottery containers or, in a modern context, empty oil drums). The key difference between a raft and a boat is that the former is a "flow through" structure, with waves able to pass up through it. Consequently, except for short river crossings, a raft is not a practical means of transport in colder regions of the world as the users would be at risk of hypothermia. Today that climatic limitation restricts rafts to between 40° north and 40° south, with, in the past, similar boundaries that have moved as the world's climate has varied.
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Types.
The earliest boats may have been either dugouts or hide boats. The oldest recovered boat in the world, the Pesse canoe, found in the Netherlands, is a dugout made from the hollowed tree trunk of a "Pinus sylvestris" that was constructed somewhere between 8200 and 7600 BC. This canoe is exhibited in the Drents Museum in Assen, Netherlands. Other very old dugout boats have also been recovered. Hide boats, made from covering a framework with animal skins, could be equally as old as logboats, but such a structure is much less likely to survive in an archaeological context.
Plank-built boats are considered, in most cases, to have developed from the logboat. There are examples of logboats that have been expanded: by deforming the hull under the influence of heat, by raising up the sides with added planks, or by splitting down the middle and adding a central plank to make it wider. (Some of these methods have been in quite recent usethere is no simple developmental sequence). The earliest known plank-built boats are from the Nile, dating to the third millennium BC. Outside Egypt, the next earliest are from England. The Ferriby boats are dated to the early part of the second millennium BC and the end of the third millennium. Plank-built boats require a level of woodworking technology that was first available in the Neolithic with more complex versions only becoming achievable in the Bronze Age.
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Types.
Boats can be categorized by their means of propulsion. These divide into:
A number of large vessels are usually referred to as boats. Submarines are a prime example. Other types of large vessels which are traditionally called boats include Great Lakes freighters, riverboats, and ferryboats. Though large enough to carry their own boats and heavy cargo, these vessels are designed for operation on inland or protected coastal waters.
Terminology.
The hull is the main, and in some cases only, structural component of a boat. It provides both capacity and buoyancy. The keel is a boat's "backbone", a lengthwise structural member to which the perpendicular frames are fixed. On some boats, a deck covers the hull, in part or whole. While a ship often has several decks, a boat is unlikely to have more than one. Above the deck are often lifelines connected to stanchions, bulwarks perhaps topped by gunnels, or some combination of the two. A cabin may protrude above the deck forward, aft, along the centerline, or cover much of the length of the boat. Vertical structures dividing the internal spaces are known as bulkheads.
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The forward end of a boat is called the bow, the aft end the stern. Facing forward the right side is referred to as starboard and the left side as port.
Building materials.
Until the mid-19th century, most boats were made of natural materials, primarily wood, although bark and animal skins were also used. Early boats include the birch bark canoe, the animal hide-covered kayak and coracle and the dugout canoe made from a single log.
By the mid-19th century, some boats had been built with iron or steel frames but still planked in wood. In 1855 ferro-cement boat construction was patented by the French, who coined the name "ferciment". This is a system by which a steel or iron wire framework is built in the shape of a boat's hull and covered over with cement. Reinforced with bulkheads and other internal structures it is strong but heavy, easily repaired, and, if sealed properly, will not leak or corrode.
As the forests of Britain and Europe continued to be over-harvested to supply the keels of larger wooden boats, and the Bessemer process (patented in 1855) cheapened the cost of steel, steel ships and boats began to be more common. By the 1930s boats built entirely of steel from frames to plating were seen replacing wooden boats in many industrial uses and fishing fleets. Private recreational boats of steel remain uncommon. In 1895 WH Mullins produced steel boats of galvanized iron and by 1930 became the world's largest producer of pleasure boats.
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Mullins also offered boats in aluminum from 1895 through 1899 and once again in the 1920s, but it was not until the mid-20th century that aluminium gained widespread popularity. Though much more expensive than steel, aluminum alloys exist that do not corrode in salt water, allowing a similar load carrying capacity to steel at much less weight.
Around the mid-1960s, boats made of fiberglass (aka "glass fiber") became popular, especially for recreational boats. Fiberglass is also known as "GRP" (glass-reinforced plastic) in the UK, and "FRP" (for fiber-reinforced plastic) in the US. Fiberglass boats are strong and do not rust, corrode, or rot. Instead, they are susceptible to structural degradation from sunlight and extremes in temperature over their lifespan. Fiberglass structures can be made stiffer with sandwich panels, where the fiberglass encloses a lightweight core such as balsa or foam.
Cold molding is a modern construction method, using wood as the structural component. In one cold molding process, very thin strips of wood are layered over a form. Each layer is coated with resin, followed by another directionally alternating layer laid on top. Subsequent layers may be stapled or otherwise mechanically fastened to the previous, or weighted or vacuum bagged to provide compression and stabilization until the resin sets. An alternative process uses thin sheets of plywood shaped over a disposable male mold, and coated with epoxy.
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Propulsion.
The most common means of boat propulsion are as follows:
Buoyancy.
A boat displaces its weight in water, regardless whether it is made of wood, steel, fiberglass, or even concrete. If weight is added to the boat, the volume of the hull drawn below the waterline will increase to keep the balance above and below the surface equal. Boats have a natural or designed level of buoyancy. Exceeding it will cause the boat first to ride lower in the water, second to take on water more readily than when properly loaded, and ultimately, if overloaded by any combination of structure, cargo, and water, sink.
As commercial vessels must be correctly loaded to be safe, and as the sea becomes less buoyant in brackish areas such as the Baltic, the Plimsoll line was introduced to prevent overloading.
European Union classification.
Since 1998 all new leisure boats and barges built in Europe between 2.5m and 24m must comply with the EU's Recreational Craft Directive (RCD). The Directive establishes four categories that permit the allowable wind and wave conditions for vessels in each class:
Europe is the main producer of recreational boats (the second production in the world is located in Poland). European brands are known all over the world - in fact, these are the brands that created RCD and set the standard for shipyards around the world. |
Blood
Blood is a body fluid in the circulatory system of humans and other vertebrates that delivers necessary substances such as nutrients and oxygen to the cells, and transports metabolic waste products away from those same cells.
Blood is composed of blood cells suspended in blood plasma. Plasma, which constitutes 55% of blood fluid, is mostly water (92% by volume), and contains proteins, glucose, mineral ions, and hormones. The blood cells are mainly red blood cells (erythrocytes), white blood cells (leukocytes), and (in mammals) platelets (thrombocytes). The most abundant cells are red blood cells. These contain hemoglobin, which facilitates oxygen transport by reversibly binding to it, increasing its solubility. Jawed vertebrates have an adaptive immune system, based largely on white blood cells. White blood cells help to resist infections and parasites. Platelets are important in the clotting of blood.
Blood is circulated around the body through blood vessels by the pumping action of the heart. In animals with lungs, arterial blood carries oxygen from inhaled air to the tissues of the body, and venous blood carries carbon dioxide, a waste product of metabolism produced by cells, from the tissues to the lungs to be exhaled. Blood is bright red when its hemoglobin is oxygenated and dark red when it is deoxygenated.
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Medical terms related to blood often begin with "hemo-", "hemato-", "haemo-" or "haemato-" from the Greek word ("") for "blood". In terms of anatomy and histology, blood is considered a specialized form of connective tissue, given its origin in the bones and the presence of potential molecular fibers in the form of fibrinogen.
Functions.
Blood performs many important functions within the body, including:
Constituents.
In mammals.
Blood accounts for 7% of the human body weight, with an average density around 1060 kg/m3, very close to pure water's density of 1000 kg/m3. The average adult has a blood volume of roughly or 1.3 gallons, which is composed of plasma and "formed elements". The formed elements are the two types of blood cell or "corpuscle" – the red blood cells, (erythrocytes) and white blood cells (leukocytes) – and the cell fragments called platelets that are involved in clotting. By volume, the red blood cells constitute about 45% of whole blood, the plasma about 54.3%, and white cells about 0.7%.
Whole blood (plasma and cells) exhibits non-Newtonian fluid dynamics.
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Cells.
One microliter of blood contains:
Plasma.
About 55% of blood is blood plasma, a fluid that is the blood's liquid medium, which by itself is straw-yellow in color. The blood plasma volume totals of 2.7–3.0 liters (2.8–3.2 quarts) in an average human. It is essentially an aqueous solution containing 92% water, 8% blood plasma proteins, and trace amounts of other materials. Plasma circulates dissolved nutrients, such as glucose, amino acids, and fatty acids (dissolved in the blood or bound to plasma proteins), and removes waste products, such as carbon dioxide, urea, and lactic acid.
Other important components include:
The term serum refers to plasma from which the clotting proteins have been removed. Most of the proteins remaining are albumin and immunoglobulins.
Acidity.
Blood pH is regulated to stay within the narrow range of 7.35 to 7.45, making it slightly basic (compensation). Extra-cellular fluid in blood that has a pH below 7.35 is too acidic, whereas blood pH above 7.45 is too basic. A pH below 6.9 or above 7.8 is usually lethal. Blood pH, partial pressure of oxygen (pO2), partial pressure of carbon dioxide (pCO2), and bicarbonate (HCO3−) are carefully regulated by a number of homeostatic mechanisms, which exert their influence principally through the respiratory system and the urinary system to control the acid–base balance and respiration, which is called compensation. An arterial blood gas test measures these. Plasma also circulates hormones transmitting their messages to various tissues. The list of normal reference ranges for various blood electrolytes is extensive.
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In non-mammals.
Human blood is typical of that of mammals, although the precise details concerning cell numbers, size, protein structure, and so on, vary somewhat between species. In non-mammalian vertebrates, however, there are some key differences:
Physiology.
Circulatory system.
Blood is circulated around the body through blood vessels by the pumping action of the heart. In humans, blood is pumped from the strong left ventricle of the heart through arteries to peripheral tissues and returns to the right atrium of the heart through veins. It then enters the right ventricle and is pumped through the pulmonary artery to the lungs and returns to the left atrium through the pulmonary veins. Blood then enters the left ventricle to be circulated again. Arterial blood carries oxygen from inhaled air to all of the cells of the body, and venous blood carries carbon dioxide, a waste product of metabolism by cells, to the lungs to be exhaled. However, one exception includes pulmonary arteries, which contain the most deoxygenated blood in the body, while the pulmonary veins contain oxygenated blood.
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Additional return flow may be generated by the movement of skeletal muscles, which can compress veins and push blood through the valves in veins toward the right atrium.
The blood circulation was described by William Harvey in 1628.
Cell production and degradation.
In vertebrates, the various cells of blood are made in the bone marrow in a process called hematopoiesis, which includes erythropoiesis, the production of red blood cells; and myelopoiesis, the production of white blood cells and platelets. During childhood, almost every human bone produces red blood cells; as adults, red blood cell production is limited to the larger bones: the bodies of the vertebrae, the breastbone (sternum), the ribcage, the pelvic bones, and the bones of the upper arms and legs. In addition, during childhood, the thymus gland, found in the mediastinum, is an important source of T lymphocytes.
The proteinaceous component of blood (including clotting proteins) is produced predominantly by the liver, while hormones are produced by the endocrine glands and the watery fraction is regulated by the hypothalamus and maintained by the kidney.
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Healthy erythrocytes have a plasma life of about 120 days before they are degraded by the spleen, and the Kupffer cells in the liver. The liver also clears some proteins, lipids, and amino acids. The kidney actively secretes waste products into the urine.
Oxygen transport.
About 98.5% of the oxygen in a sample of arterial blood in a healthy human breathing air at sea-level pressure is chemically combined with the hemoglobin. About 1.5% is physically dissolved in the other blood liquids and not connected to hemoglobin. The hemoglobin molecule is the primary transporter of oxygen in mammals and many other species. Hemoglobin has an oxygen binding capacity between 1.36 and 1.40 ml O2 per gram hemoglobin, which increases the total blood oxygen capacity seventyfold, compared to if oxygen solely were carried by its solubility of 0.03 ml O2 per liter blood per mm Hg partial pressure of oxygen (about 100 mm Hg in arteries).
With the exception of pulmonary and umbilical arteries and their corresponding veins, arteries carry oxygenated blood away from the heart and deliver it to the body via arterioles and capillaries, where the oxygen is consumed; afterwards, venules and veins carry deoxygenated blood back to the heart.
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Under normal conditions in adult humans at rest, hemoglobin in blood leaving the lungs is about 98–99% saturated with oxygen, achieving an oxygen delivery between 950 and 1150 ml/min to the body. In a healthy adult at rest, oxygen consumption is approximately 200–250 ml/min, and deoxygenated blood returning to the lungs is still roughly 75% (70 to 78%) saturated. Increased oxygen consumption during sustained exercise reduces the oxygen saturation of venous blood, which can reach less than 15% in a trained athlete; although breathing rate and blood flow increase to compensate, oxygen saturation in arterial blood can drop to 95% or less under these conditions. Oxygen saturation this low is considered dangerous in an individual at rest (for instance, during surgery under anesthesia). Sustained hypoxia (oxygenation less than 90%), is dangerous to health, and severe hypoxia (saturations less than 30%) may be rapidly fatal.
A fetus, receiving oxygen via the placenta, is exposed to much lower oxygen pressures (about 21% of the level found in an adult's lungs), so fetuses produce another form of hemoglobin with a much higher affinity for oxygen (hemoglobin F) to function under these conditions.
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Carbon dioxide transport.
CO2 is carried in blood in three different ways. (The exact percentages vary depending whether it is arterial or venous blood). Most of it (about 70%) is converted to bicarbonate ions by the enzyme carbonic anhydrase in the red blood cells by the reaction ; about 7% is dissolved in the plasma; and about 23% is bound to hemoglobin as carbamino compounds.
Hemoglobin, the main oxygen-carrying molecule in red blood cells, carries both oxygen and carbon dioxide. However, the CO2 bound to hemoglobin does not bind to the same site as oxygen. Instead, it combines with the N-terminal groups on the four globin chains. However, because of allosteric effects on the hemoglobin molecule, the binding of CO2 decreases the amount of oxygen that is bound for a given partial pressure of oxygen. The decreased binding to carbon dioxide in the blood due to increased oxygen levels is known as the Haldane effect, and is important in the transport of carbon dioxide from the tissues to the lungs. A rise in the partial pressure of CO2 or a lower pH will cause offloading of oxygen from hemoglobin, which is known as the Bohr effect.
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Transport of hydrogen ions.
Some oxyhemoglobin loses oxygen and becomes deoxyhemoglobin. Deoxyhemoglobin binds most of the hydrogen ions as it has a much greater affinity for more hydrogen than does oxyhemoglobin.
Lymphatic system.
In mammals, blood is in equilibrium with lymph, which is continuously formed in tissues from blood by capillary ultrafiltration. Lymph is collected by a system of small lymphatic vessels and directed to the thoracic duct, which drains into the left subclavian vein, where lymph rejoins the systemic blood circulation.
Thermoregulation.
Blood circulation transports heat throughout the body, and adjustments to this flow are an important part of thermoregulation. Increasing blood flow to the surface (e.g., during warm weather or strenuous exercise) causes warmer skin, resulting in faster heat loss. In contrast, when the external temperature is low, blood flow to the extremities and surface of the skin is reduced and to prevent heat loss and is circulated to the important organs of the body, preferentially.
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Rate of flow.
Rate of blood flow varies greatly between different organs. Liver has the most abundant blood supply with an approximate flow of 1350 ml/min. Kidney and brain are the second and the third most supplied organs, with 1100 ml/min and ~700 ml/min, respectively.
Relative rates of blood flow per 100 g of tissue are different, with kidney, adrenal gland and thyroid being the first, second and third most supplied tissues, respectively.
Hydraulic functions.
The restriction of blood flow can also be used in specialized tissues to cause engorgement, resulting in an erection of that tissue; examples are the erectile tissue in the penis and clitoris.
Another example of a hydraulic function is the jumping spider, in which blood forced into the legs under pressure causes them to straighten for a powerful jump, without the need for bulky muscular legs.
Color.
Hemoglobin is the principal determinant of the color of blood (hemochrome). Each molecule has four heme groups, and their interaction with various molecules alters the exact color. Arterial blood and capillary blood are bright red, as oxygen imparts a strong red color to the heme group. Deoxygenated blood is a darker shade of red; this is present in veins, and can be seen during blood donation and when venous blood samples are taken. This is because the spectrum of light absorbed by hemoglobin differs between the oxygenated and deoxygenated states.
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Blood in carbon monoxide poisoning is bright red, because carbon monoxide causes the formation of carboxyhemoglobin. In cyanide poisoning, the body cannot use oxygen, so the venous blood remains oxygenated, increasing the redness. There are some conditions affecting the heme groups present in hemoglobin that can make the skin appear blue – a symptom called cyanosis. If the heme is oxidized, methemoglobin, which is more brownish and cannot transport oxygen, is formed. In the rare condition sulfhemoglobinemia, arterial hemoglobin is partially oxygenated, and appears dark red with a bluish hue.
Veins close to the surface of the skin appear blue for a variety of reasons. However, the factors that contribute to this alteration of color perception are related to the light-scattering properties of the skin and the processing of visual input by the visual cortex, rather than the actual color of the venous blood.
Skinks in the genus "Prasinohaema" have green blood due to a buildup of the waste product biliverdin.
Disorders.
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Carbon monoxide poisoning.
Substances other than oxygen can bind to hemoglobin; in some cases, this can cause irreversible damage to the body. Carbon monoxide, for example, is extremely dangerous when carried to the blood via the lungs by inhalation, because carbon monoxide irreversibly binds to hemoglobin to form carboxyhemoglobin, so that less hemoglobin is free to bind oxygen, and fewer oxygen molecules can be transported throughout the blood. This can cause suffocation. A fire burning in an enclosed room with poor ventilation presents a dangerous hazard, since it can create a build-up of carbon monoxide in the air. Some carbon monoxide binds to hemoglobin when smoking tobacco.
Treatments.
Transfusion.
Blood for transfusion is obtained from human donors by blood donation and stored in a blood bank. There are many different blood types in humans, the ABO blood group system, and the Rhesus blood group system being the most important. Transfusion of blood of an incompatible blood group may cause severe, often fatal, complications, so crossmatching is done to ensure that a compatible blood product is transfused.
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Other blood products administered intravenously are platelets, blood plasma, cryoprecipitate, and specific coagulation factor concentrates.
Intravenous administration.
Many forms of medication (from antibiotics to chemotherapy) are administered intravenously, as they are not readily or adequately absorbed by the digestive tract.
After severe acute blood loss, liquid preparations, generically known as plasma expanders, can be given intravenously, either solutions of salts (NaCl, KCl, CaCl2 etc.) at physiological concentrations, or colloidal solutions, such as dextrans, human serum albumin, or fresh frozen plasma. In these emergency situations, a plasma expander is a more effective life-saving procedure than a blood transfusion, because the metabolism of transfused red blood cells does not restart immediately after a transfusion.
Letting.
In modern evidence-based medicine, bloodletting is used in management of a few rare diseases, including hemochromatosis and polycythemia. However, bloodletting and leeching were common unvalidated interventions used until the 19th century, as many diseases were incorrectly thought to be due to an excess of blood, according to Hippocratic medicine.
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Etymology.
English "blood" (Old English "blod") derives from Germanic and has cognates with a similar range of meanings in all other Germanic languages (e.g. German "Blut", Swedish "blod", Gothic "blōþ"). There is no accepted Indo-European etymology.
History.
Classical Greek medicine.
Robin Fåhræus (a Swedish physician who devised the erythrocyte sedimentation rate) suggested that the Ancient Greek system of humorism, wherein the body was thought to contain four distinct bodily fluids (associated with different temperaments), were based upon the observation of blood clotting in a transparent container. When blood is drawn in a glass container and left undisturbed for about an hour, four different layers can be seen. A dark clot forms at the bottom (the "black bile"). Above the clot is a layer of red blood cells (the "blood"). Above this is a whitish layer of white blood cells (the "phlegm"). The top layer is clear yellow serum (the "yellow bile").
In general, Greek thinkers believed that blood was made from food. Plato and Aristotle are two important sources of evidence for this view, but it dates back to Homer's "Iliad". Plato thinks that fire in our bellies transform food into blood. Plato believes that the movements of air in the body as we exhale and inhale carry the fire as it transforms our food into blood. Aristotle believed that food is concocted into blood in the heart and transformed into our body's matter.
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Types.
The ABO blood group system was discovered in the year 1900 by Karl Landsteiner. Jan Janský is credited with the first classification of blood into the four types (A, B, AB, and O) in 1907, which remains in use today. In 1907 the first blood transfusion was performed that used the ABO system to predict compatibility. The first non-direct transfusion was performed on 27 March 1914. The Rhesus factor was discovered in 1937.
Culture and religion.
Due to its importance to life, blood is associated with a large number of beliefs. One of the most basic is the use of blood as a symbol for family relationships through birth/parentage; to be "related by blood" is to be related by ancestry or descendence, rather than marriage. This bears closely to bloodlines, and sayings such as "blood is thicker than water" and "bad blood", as well as "Blood brother".
Blood is given particular emphasis in the Islamic, Jewish, and Christian religions, because Leviticus 17:11 says "the life of a creature is in the blood." This phrase is part of the Levitical law forbidding the drinking of blood or eating meat with the blood still intact instead of being poured off.
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Mythic references to blood can sometimes be connected to the life-giving nature of blood, seen in such events as childbirth, as contrasted with the blood of injury or death.
Indigenous Australians.
In many indigenous Australian Aboriginal peoples' traditions, ochre (particularly red) and blood, both high in iron content and considered Maban, are applied to the bodies of dancers for ritual. As Lawlor states: Lawlor comments that blood employed in this fashion is held by these peoples to attune the dancers to the invisible energetic realm of the Dreamtime. Lawlor then connects these invisible energetic realms and magnetic fields, because iron is magnetic.
European paganism.
Among the Germanic tribes, blood was used during their sacrifices; the "Blóts". The blood was considered to have the power of its originator, and, after the butchering, the blood was sprinkled on the walls, on the statues of the gods, and on the participants themselves. This act of sprinkling blood was called "blóedsian" in Old English, and the terminology was borrowed by the Roman Catholic Church becoming "to bless" and "blessing". The Hittite word for blood, "ishar" was a cognate to words for "oath" and "bond", see Ishara.
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The Ancient Greeks believed that the blood of the gods, "ichor", was a substance that was poisonous to mortals.
As a relic of Germanic Law, the cruentation, an ordeal where the corpse of the victim was supposed to start bleeding in the presence of the murderer, was used until the early 17th century.
Christianity.
In Genesis 9:4, God prohibited Noah and his sons from eating blood (see Noahide Law). This command continued to be observed by the Eastern Orthodox Church.
It is also found in the Bible that when the Angel of Death came around to the Hebrew house that the first-born child would not die if the angel saw lamb's blood wiped across the doorway.
At the Council of Jerusalem, the apostles prohibited certain Christians from consuming blood – this is documented in Acts 15:20 and 29. This chapter specifies a reason (especially in verses 19–21): It was to avoid offending Jews who had become Christians, because the Mosaic Law Code prohibited the practice.
Christ's blood is the means for the atonement of sins. Also, "... the blood of Jesus Christ his [God] Son cleanseth us from all sin." (1 John 1:7), "... Unto him [God] that loved us, and washed us from our sins in his own blood." (Revelation 1:5), and "And they overcame him (Satan) by the blood of the Lamb [Jesus the Christ], and by the word of their testimony ..." (Revelation 12:11).
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Some Christian churches, including Roman Catholicism, Eastern Orthodoxy, Oriental Orthodoxy, and the Assyrian Church of the East teach that, when consecrated, the Eucharistic wine actually becomes the blood of Jesus for worshippers to drink. Thus in the consecrated wine, Jesus becomes spiritually and physically present. This teaching is rooted in the Last Supper, as written in the four gospels of the Bible, in which Jesus stated to his disciples that the bread that they ate was his body, and the wine was his blood. ""This cup is the new testament in my blood, which is shed for you." ()".
Most forms of Protestantism, especially those of a Methodist or Presbyterian lineage, teach that the wine is no more than a symbol of the blood of Christ, who is spiritually but not physically present. Lutheran theology teaches that the body and blood is present together "in, with, and under" the bread and wine of the Eucharistic feast.
Judaism.
In Judaism, animal blood may not be consumed even in the smallest quantity (Leviticus 3:17 and elsewhere); this is reflected in Jewish dietary laws (Kashrut). Blood is purged from meat by rinsing and soaking in water (to loosen clots), salting and then rinsing with water again several times. Eggs must also be checked and any blood spots removed before consumption. Although blood from fish is biblically kosher, it is rabbinically forbidden to consume fish blood to avoid the appearance of breaking the Biblical prohibition.
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Another ritual involving blood involves the covering of the blood of fowl and game after slaughtering (Leviticus 17:13); the reason given by the Torah is: "Because the life of the animal is [in] its blood" (ibid 17:14). In relation to human beings, Kabbalah expounds on this verse that the animal soul of a person is in the blood, and that physical desires stem from it.
Likewise, the mystical reason for salting temple sacrifices and slaughtered meat is to remove the blood of animal-like passions from the person. By removing the animal's blood, the animal energies and life-force contained in the blood are removed, making the meat fit for human consumption.
Islam.
Consumption of food containing blood is forbidden by Islamic dietary laws. This is derived from the statement in the Qur'an, sura Al-Ma'ida (5:3): "Forbidden to you (for food) are: dead meat, blood, the flesh of swine, and that on which has been invoked the name of other than Allah."
Blood is considered unclean, hence there are specific methods to obtain physical and ritual status of cleanliness once bleeding has occurred. Specific rules and prohibitions apply to menstruation, postnatal bleeding and irregular vaginal bleeding. When an animal has been slaughtered, the animal's neck is cut in a way to ensure that the spine is not severed, hence the brain may send commands to the heart to pump blood to it for oxygen. In this way, blood is removed from the body, and the meat is generally now safe to cook and eat. In modern times, blood transfusions are generally not considered against the rules.
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Jehovah's Witnesses.
Based on their interpretation of scriptures such as Acts 15:28, 29 ("Keep abstaining...from blood."), many Jehovah's Witnesses neither consume blood nor accept transfusions of whole blood or its major components: red blood cells, white blood cells, platelets (thrombocytes), and plasma. Members may personally decide whether they will accept medical procedures that involve their own blood or substances that are further fractionated from the four major components.
Vampirism.
Vampires are mythical creatures that drink blood directly for sustenance, usually with a preference for human blood. Cultures all over the world have myths of this kind; for example the 'Nosferatu' legend, a human who achieves damnation and immortality by drinking the blood of others, originates from Eastern European folklore. Ticks, leeches, female mosquitoes, vampire bats, and an assortment of other natural creatures do consume the blood of other animals, but only bats are associated with vampires. This has no relation to vampire bats, which are New World creatures discovered well after the origins of the European myths.
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Invertebrates.
In invertebrates, a body fluid analogous to blood called hemolymph is found, the main difference being that hemolymph is not contained in a closed circulatory system. Hemolymph may function to carry oxygen, although hemoglobin is not necessarily used. Crustaceans and mollusks use hemocyanin instead of hemoglobin. In most insects, their hemolymph does not contain oxygen-carrying molecules because their bodies are small enough for their tracheal system to suffice for supplying oxygen.
Other uses.
Forensic and archaeological.
Blood residue can help forensic investigators identify weapons, reconstruct a criminal action, and link suspects to the crime. Through bloodstain pattern analysis, forensic information can also be gained from the spatial distribution of bloodstains.
Blood residue analysis is also a technique used in archeology.
Artistic.
Blood is one of the body fluids that has been used in art. In particular, the performances of Viennese Actionist Hermann Nitsch, Istvan Kantor, Franko B, Lennie Lee, Ron Athey, Yang Zhichao, Lucas Abela and Kira O'Reilly, along with the photography of Andres Serrano, have incorporated blood as a prominent visual element. Marc Quinn has made sculptures using frozen blood, including a cast of his own head made using his own blood.
Genealogical.
The term "blood" is used in genealogical circles to refer to one's ancestry, origins, and ethnic background as in the word "bloodline". Other terms where blood is used in a family history sense are "blue-blood", "royal blood", "mixed-blood" and "blood relative". |
Benoit Mandelbrot
Benoit B. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life". He referred to himself as a "fractalist" and is recognized for his contribution to the field of fractal geometry, which included coining the word "fractal", as well as developing a theory of "roughness and self-similarity" in nature.
In 1936, at the age of 11, Mandelbrot and his family emigrated from Warsaw, Poland, to France. After World War II ended, Mandelbrot studied mathematics, graduating from universities in Paris and in the United States and receiving a master's degree in aeronautics from the California Institute of Technology. He spent most of his career in both the United States and France, having dual French and American citizenship. In 1958, he began a 35-year career at IBM, where he became an IBM Fellow, and periodically took leaves of absence to teach at Harvard University. At Harvard, following the publication of his study of U.S. commodity markets in relation to cotton futures, he taught economics and applied sciences.
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Because of his access to IBM's computers, Mandelbrot was one of the first to use computer graphics to create and display fractal geometric images, leading to his discovery of the Mandelbrot set in 1980. He showed how visual complexity can be created from simple rules. He said that things typically considered to be "rough", a "mess", or "chaotic", such as clouds or shorelines, actually had a "degree of order". His math- and geometry-centered research included contributions to such fields as statistical physics, meteorology, hydrology, geomorphology, anatomy, taxonomy, neurology, linguistics, information technology, computer graphics, economics, geology, medicine, physical cosmology, engineering, chaos theory, econophysics, metallurgy, and the social sciences.
Toward the end of his career, he was Sterling Professor of Mathematical Sciences at Yale University, where he was the oldest professor in Yale's history to receive tenure.
Mandelbrot also held positions at the Pacific Northwest National Laboratory, Université Lille Nord de France, Institute for Advanced Study and Centre National de la Recherche Scientifique. During his career, he received over 15 honorary doctorates and served on many science journals, along with winning numerous awards. His autobiography, "The Fractalist: Memoir of a Scientific Maverick", was published posthumously in 2012.
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Early years.
Benedykt Mandelbrot was born in a Lithuanian Jewish family, in Warsaw during the Second Polish Republic. His father made his living trading clothing; his mother was a dental surgeon. During his first two school years, he was tutored privately by an uncle who despised rote learning: "Most of my time was spent playing chess, reading maps and learning how to open my eyes to everything around me."
In 1936, when he was 11, the family emigrated from Poland to France. The move, World War II, and the influence of his father's brother, the mathematician Szolem Mandelbrojt (who had moved to Paris around 1920), further prevented a standard education. "The fact that my parents, as economic and political refugees, joined Szolem in France saved our lives," he writes.
Mandelbrot attended the Lycée Rollin (now the Collège-lycée Jacques-Decour) in Paris until the start of World War II, when his family moved to Tulle, France. He was helped by Rabbi David Feuerwerker, the Rabbi of Brive-la-Gaillarde, to continue his studies. Much of France was occupied by the Nazis at the time, and Mandelbrot recalls this period:
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In 1944, Mandelbrot returned to Paris, studied at the Lycée du Parc in Lyon, and in 1945 to 1947 attended the École Polytechnique, where he studied under Gaston Julia and Paul Lévy. From 1947 to 1949 he studied at California Institute of Technology, where he earned a master's degree in aeronautics. Returning to France, he obtained his PhD degree in Mathematical Sciences at the University of Paris in 1952.
Research career.
From 1949 to 1958, Mandelbrot was a staff member at the Centre National de la Recherche Scientifique. During this time he spent a year at the Institute for Advanced Study in Princeton, New Jersey, where he was sponsored by John von Neumann. In 1955 he married Aliette Kagan and moved to Geneva, Switzerland (to collaborate with Jean Piaget at the International Centre for Genetic Epistemology) and later to the Université Lille Nord de France. In 1958 the couple moved to the United States where Mandelbrot joined the research staff at the IBM Thomas J. Watson Research Center in Yorktown Heights, New York. He remained at IBM for 35 years, becoming an IBM Fellow, and later Fellow Emeritus.
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From 1951 onward, Mandelbrot worked on problems and published papers not only in mathematics but in applied fields such as information theory, economics, and fluid dynamics.
Randomness and fractals in financial markets.
Mandelbrot saw financial markets as an example of "wild randomness", characterized by concentration and long-range dependence. He developed several original approaches for modelling financial fluctuations. In his early work, he found that the price changes in financial markets did not follow a Gaussian distribution, but rather Lévy stable distributions having infinite variance. He found, for example, that cotton prices followed a Lévy stable distribution with parameter "α" equal to 1.7 rather than 2 as in a Gaussian distribution. "Stable" distributions have the property that the sum of many instances of a random variable follows the same distribution but with a larger scale parameter. The latter work from the early 60s was done with daily data of cotton prices from 1900, long before he introduced the word 'fractal'. In later years, after the concept of fractals had matured, the study of financial markets in the context of fractals became possible only after the availability of high frequency data in finance.
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In the late 1980s, Mandelbrot used intra-daily tick data supplied by Olsen & Associates in Zurich to apply fractal theory to market microstructure. This cooperation led to the publication of the first comprehensive papers on scaling law in finance. This law shows similar properties at different time scales, confirming Mandelbrot's insight of the fractal nature of market microstructure. Mandelbrot's own research in this area is presented in his books "Fractals and Scaling in Finance" and "The (Mis)behavior of Markets".
Developing "fractal geometry" and the Mandelbrot set.
As a visiting professor at Harvard University, Mandelbrot began to study mathematical objects called Julia sets that were invariant under certain transformations of the complex plane. Building on previous work by Gaston Julia and Pierre Fatou, Mandelbrot used a computer to plot images of the Julia sets. While investigating the topology of these Julia sets, he studied the Mandelbrot set which was introduced by him in 1979.
In 1975, Mandelbrot coined the term "fractal" to describe these structures and first published his ideas in the French book "Les Objets Fractals: Forme, Hasard et Dimension", later translated in 1977 as "Fractals: Form, Chance and Dimension". According to computer scientist and physicist Stephen Wolfram, the book was a "breakthrough" for Mandelbrot, who until then would typically "apply fairly straightforward mathematics ... to areas that had barely seen the light of serious mathematics before". Wolfram adds that as a result of this new research, he was no longer a "wandering scientist", and later called him "the father of fractals":
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Wolfram briefly describes fractals as a form of geometric repetition, "in which smaller and smaller copies of a pattern are successively nested inside each other, so that the same intricate shapes appear no matter how much you zoom in to the whole. Fern leaves and Romanesque broccoli are two examples from nature." He points out an unexpected conclusion:
Mandelbrot used the term "fractal" as it derived from the Latin word "fractus", defined as broken or shattered glass. Using the newly developed IBM computers at his disposal, Mandelbrot was able to create fractal images using graphics computer code, images that an interviewer described as looking like "the delirious exuberance of the 1960s psychedelic art with forms hauntingly reminiscent of nature and the human body". He also saw himself as a "would-be Kepler", after the 17th-century scientist Johannes Kepler, who calculated and described the orbits of the planets.
Mandelbrot, however, never felt he was inventing a new idea. He described his feelings in a documentary with science writer Arthur C. Clarke:
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According to Clarke, "the Mandelbrot set is indeed one of the most astonishing discoveries in the entire history of mathematics. Who could have dreamed that such an incredibly simple equation could have generated images of literally "infinite" complexity?" Clarke also notes an "odd coincidence":
the name Mandelbrot, and the word "mandala"—for a religious symbol—which I'm sure is a pure coincidence, but indeed the Mandelbrot set does seem to contain an enormous number of mandalas.
In 1982, Mandelbrot expanded and updated his ideas in "The Fractal Geometry of Nature". This influential work brought fractals into the mainstream of professional and popular mathematics, as well as silencing critics, who had dismissed fractals as "program artifacts".
Mandelbrot left IBM in 1987, after 35 years and 12 days, when IBM decided to end pure research in his division. He joined the Department of Mathematics at Yale, and obtained his first tenured post in 1999, at the age of 75. At the time of his retirement in 2005, he was Sterling Professor of Mathematical Sciences.
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Fractals and the "theory of roughness".
Mandelbrot created the first-ever "theory of roughness", and he saw "roughness" in the shapes of mountains, coastlines and river basins; the structures of plants, blood vessels and lungs; the clustering of galaxies. His personal quest was to create some mathematical formula to measure the overall "roughness" of such objects in nature. He began by asking himself various kinds of questions related to nature:
In his paper "How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension", published in "Science" in 1967, Mandelbrot discusses self-similar curves that have Hausdorff dimension that are examples of "fractals", although Mandelbrot does not use this term in the paper, as he did not coin it until 1975. The paper is one of Mandelbrot's first publications on the topic of fractals.
Mandelbrot emphasized the use of fractals as realistic and useful models for describing many "rough" phenomena in the real world. He concluded that "real roughness is often fractal and can be measured." Although Mandelbrot coined the term "fractal", some of the mathematical objects he presented in "The Fractal Geometry of Nature" had been previously described by other mathematicians. Before Mandelbrot, however, they were regarded as isolated curiosities with unnatural and non-intuitive properties. Mandelbrot brought these objects together for the first time and turned them into essential tools for the long-stalled effort to extend the scope of science to explaining non-smooth, "rough" objects in the real world. His methods of research were both old and new:
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Fractals are also found in human pursuits, such as music, painting, architecture, and in the financial field. Mandelbrot believed that fractals, far from being unnatural, were in many ways more intuitive and natural than the artificially smooth objects of traditional Euclidean geometry: Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line. —Mandelbrot, in his introduction to "The Fractal Geometry of Nature"
Mandelbrot has been called an artist, and a visionary and a maverick. His informal and passionate style of writing and his emphasis on visual and geometric intuition (supported by the inclusion of numerous illustrations) made "The Fractal Geometry of Nature" accessible to non-specialists. The book sparked widespread popular interest in fractals and contributed to chaos theory and other fields of science and mathematics.
Mandelbrot also put his ideas to work in cosmology. He offered in 1974 a new explanation of Olbers' paradox (the "dark night sky" riddle), demonstrating the consequences of fractal theory as a sufficient, but not necessary, resolution of the paradox. He postulated that if the stars in the universe were fractally distributed (for example, like Cantor dust), it would not be necessary to rely on the Big Bang theory to explain the paradox. His model would not rule out a Big Bang, but would allow for a dark sky even if the Big Bang had not occurred.
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Awards and honors.
Mandelbrot's awards include the Wolf Prize in Physics in 1993, the Lewis Fry Richardson Prize of the European Geophysical Society in 2000, the Japan Prize in 2003, and the Einstein Lectureship of the American Mathematical Society in 2006.
The small asteroid 27500 Mandelbrot was named in his honor. In November 1990, he was made a Chevalier in France's Legion of Honour. In December 2005, Mandelbrot was appointed to the position of Battelle Fellow at the Pacific Northwest National Laboratory. Mandelbrot was promoted to an Officer of the Legion of Honour in January 2006. An honorary degree from Johns Hopkins University was bestowed on Mandelbrot in the May 2010 commencement exercises.
A partial list of awards received by Mandelbrot:
Death and legacy.
Mandelbrot died from pancreatic cancer at the age of 85 in a hospice in Cambridge, Massachusetts, on 14 October 2010. Reacting to news of his death, mathematician Heinz-Otto Peitgen said: "[I]f we talk about impact inside mathematics, and applications in the sciences, he is one of the most important figures of the last fifty years."
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Chris Anderson, TED conference curator, described Mandelbrot as "an icon who changed how we see the world". Nicolas Sarkozy, President of France at the time of Mandelbrot's death, said Mandelbrot had "a powerful, original mind that never shied away from innovating and shattering preconceived notions [... h]is work, developed entirely outside mainstream research, led to modern information theory." Mandelbrot's obituary in "The Economist" points out his fame as "celebrity beyond the academy" and lauds him as the "father of fractal geometry".
Best-selling essayist-author Nassim Nicholas Taleb has remarked that Mandelbrot's book "The (Mis)Behavior of Markets" is in his opinion "The deepest and most realistic finance book ever published". |
Benedict of Nursia
Benedict of Nursia (; ; 2 March 480 – 21 March 547), often known as Saint Benedict, was a Christian monk. He is famed in the Catholic Church, the Eastern Orthodox Church, the Lutheran Churches, the Anglican Communion, and Old Catholic Churches. In 1964, Pope Paul VI declared Benedict a patron saint of Europe.
Benedict founded twelve communities for monks at Subiaco in present-day Lazio, Italy (about to the east of Rome), before moving southeast to Monte Cassino in the mountains of central Italy. The present-day Order of Saint Benedict emerged later and, moreover, is not an "order" as the term is commonly understood, but a confederation of autonomous congregations.
Benedict's main achievement, his "Rule of Saint Benedict", contains a set of rules for his monks to follow. Heavily influenced by the writings of John Cassian ( – ), it shows strong affinity with the earlier "Rule of the Master", but it also has a unique spirit of balance, moderation and reasonableness (, "epieíkeia"), which persuaded most Christian religious communities founded throughout the Middle Ages to adopt it. As a result, Benedict's Rule became one of the most influential religious rules in Western Christendom. For this reason, Giuseppe Carletti regarded Benedict as the founder of Western Christian monasticism.
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Biography.
Apart from a short poem attributed to Mark of Monte Cassino, the only ancient account of Benedict is found in the second volume of Pope Gregory I's four-book "Dialogues", thought to have been written in 593, although the authenticity of this work is disputed.
Gregory's account of Benedict's life, however, is not a biography in the modern sense of the word. It provides instead a spiritual portrait of the gentle, disciplined abbot. In a letter to Bishop Maximilian of Syracuse, Gregory states his intention for his "Dialogues", saying they are a kind of "floretum" (an "anthology", literally, 'flower garden') of the most striking miracles of Italian holy men.
Gregory did not set out to write a chronological, historically anchored story of Benedict, but he did base his anecdotes on direct testimony. To establish his authority, Gregory explains that his information came from what he considered the best sources: a handful of Benedict's disciples who lived with him and witnessed his various miracles. These followers, he says, are Constantinus, who succeeded Benedict as Abbot of Monte Cassino, Honoratus, who was abbot of Subiaco when St. Gregory wrote his "Dialogues", Valentinianus, and Simplicius.
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In Gregory's day, history was not recognised as an independent field of study; it was a branch of grammar or rhetoric, and "historia" was an account that summed up the findings of the learned when they wrote what was, at that time, considered history. Gregory's "Dialogues", Book Two, then, an authentic medieval hagiography cast as a conversation between the Pope and his deacon Peter, is designed to teach spiritual lessons.
Early life.
Benedict was the son of a Roman noble of Nursia, the modern Norcia, in Umbria. According to Gregory's narrative, Benedict was born around 480, and the year in which he abandoned his studies and left home "was probably a few years before 500."
Benedict was sent to Rome to study, but was disappointed by the academic studies he encountered there. Seeking to flee the great city, he left with his nurse and settled in Enfide. Enfide, which the tradition of Subiaco identifies with the modern Affile, is in the Simbruini mountains, about forty miles from Rome and two miles from Subiaco.
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A short distance from Enfide is the entrance to a narrow, gloomy valley, penetrating the mountains and leading directly to Subiaco. The path continues to ascend, and the side of the ravine on which it runs becomes steeper until a cave is reached, above this point the mountain now rises almost perpendicularly; while on the right, it strikes in a rapid descent down to where, in Benedict's day, below, lay the blue waters of a lake. The cave has a large triangular-shaped opening and is about ten feet deep.
On his way from Enfide, Benedict met a monk, Romanus of Subiaco, whose monastery was on the mountain above the cliff overhanging the cave. Romanus discussed with Benedict the purpose which had brought him to Subiaco, and gave him the monk's habit. By his advice Benedict became a hermit and for three years lived in this cave above the lake.
Later life.
Gregory tells little of Benedict's later life. He now speaks of Benedict no longer as a youth (), but as a man () of God. Romanus, Gregory states, served Benedict in every way he could. The monk apparently visited him frequently, and on fixed days brought him food.
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During these three years of solitude, broken only by occasional communications with the outer world and by the visits of Romanus, Benedict matured both in mind and character, in knowledge of himself and of his fellow-man, and at the same time he became not merely known to, but secured the respect of, those about him; so much so that on the death of the abbot of a monastery in the neighbourhood (identified by some with Vicovaro), the community came to him and begged him to become its abbot. Benedict was acquainted with the life and discipline of the monastery, and knew that "their manners were diverse from his and therefore that they would never agree together: yet, at length, overcome with their entreaty, he gave his consent". The experiment failed; the monks tried to poison him. The legend goes that they first tried to poison his drink. He prayed a blessing over the cup and the cup shattered. Thus he left the group and went back to his cave at Subiaco.
There lived in the neighborhood a priest called Florentius who, moved by envy, tried to ruin him. He tried to poison him with poisoned bread. When he prayed a blessing over the bread, a raven swept in and took the loaf away. From this time his miracles seem to have become frequent, and many people, attracted by his sanctity and character, came to Subiaco to be under his guidance. Having failed by sending him poisonous bread, Florentius tried to seduce his monks with some prostitutes. To avoid further temptations, in about 530 Benedict left Subiaco. He founded 12 monasteries in the vicinity of Subiaco, and, eventually, in 530 he founded the great Benedictine monastery of Monte Cassino, which lies on a hilltop between Rome and Naples.
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Veneration.
Benedict died of a fever at Monte Cassino not long after his sister, Scholastica, and was buried in the same tomb. According to tradition, this occurred on 21 March 547. He was named patron protector of Europe by Pope Paul VI in 1964. In 1980, Pope John Paul II declared him co-patron of Europe, together with Cyril and Methodius. Furthermore, he is the patron saint of speleologists. On the island of Tenerife (Spain) he is the patron saint of fields and farmers. An important romeria ("Romería Regional de San Benito Abad") is held on this island in his honor, one of the most important in the country.
In the pre-1970 General Roman Calendar, his feast is kept on 21 March, the day of his death according to some manuscripts of the "Martyrologium Hieronymianum" and that of Bede. Because on that date his liturgical memorial would always be impeded by the observance of Lent, the 1969 revision of the General Roman Calendar moved his memorial to 11 July, the date that appears in some Gallic liturgical books of the end of the 8th century as the feast commemorating his birth ("Natalis S. Benedicti"). There is some uncertainty about the origin of this feast. Accordingly, on 21 March the Roman Martyrology mentions in a line and a half that it is Benedict's day of death and that his memorial is celebrated on 11 July, while on 11 July it devotes seven lines to speaking of him, and mentions the tradition that he died on 21 March.
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The Eastern Orthodox Church commemorates Saint Benedict on 14 March.
The Lutheran Churches celebrate the Feast of Saint Benedict on July 11.
The Anglican Communion has no single universal calendar, but a provincial calendar of saints is published in each province. In almost all of these, Saint Benedict is commemorated on 11 July. Benedict is remembered in the Church of England with a Lesser Festival on 11 July.
"Rule of Saint Benedict".
Benedict wrote the "Rule" for monks living communally under the authority of an abbot. The "Rule" comprises seventy-three short chapters. Its wisdom is twofold: spiritual (how to live a Christocentric life on earth) and administrative (how to run a monastery efficiently). More than half of the chapters describe how to be obedient and humble, and what to do when a member of the community is not. About one-fourth regulate the work of God (the "opus Dei"). One-tenth outline how, and by whom, the monastery should be managed. Benedictine asceticism is known for its moderation.
Saint Benedict Medal.
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This devotional medal originally came from a cross in honor of Saint Benedict. On one side, the medal has an image of Saint Benedict, holding the Holy Rule in his left hand and a cross in his right. There is a raven on one side of him, with a cup on the other side of him. Around the medal's outer margin are the words "Eius in obitu nostro praesentia muniamur" ("May we be strengthened by his presence in the hour of our death"). The other side of the medal has a cross with the initials CSSML on the vertical bar which signify "Crux Sacra Sit Mihi Lux" ("May the Holy Cross be my light") and on the horizontal bar are the initials NDSMD which stand for "Non-Draco Sit Mihi Dux" ("Let not the dragon be my guide"). The initials CSPB stand for "Crux Sancti Patris Benedicti" ("The Cross of the Holy Father Benedict") and are located on the interior angles of the cross. Either the inscription "PAX" (Peace) or the Christogram "IHS" may be found at the top of the cross in most cases. Around the medal's margin on this side are the "Vade Retro Satana" initials VRSNSMV which stand for "Vade Retro Satana, Nonquam Suade Mihi Vana" ("Begone Satan, do not suggest to me thy vanities") then a space followed by the initials SMQLIVB which signify "Sunt Mala Quae Libas, Ipse Venena Bibas" ("Evil are the things thou profferest, drink thou thine own poison").
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This medal was first struck in 1880 to commemorate the fourteenth centenary of Benedict's birth and is also called the Jubilee Medal; its exact origin, however, is unknown. In 1647, during a witchcraft trial at Natternberg near Metten Abbey in Bavaria, the accused women testified they had no power over Metten, which was under the protection of the cross. An investigation found a number of painted crosses on the walls of the abbey with the letters now found on St Benedict medals, but their meaning had been forgotten. A manuscript written in 1415 was eventually found that had a picture of Benedict holding a scroll in one hand and a staff which ended in a cross in the other. On the scroll and staff were written the full words of the initials contained on the crosses. Medals then began to be struck in Germany, which then spread throughout Europe. This medal was first approved by Pope Benedict XIV in his briefs of 23 December 1741 and 12 March 1742.
Benedict has been also the motif of many collector's coins around the world. The Austria 50 euro 'The Christian Religious Orders', issued on 13 March 2002 is one of them.
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Influence.
The early Middle Ages have been called "the Benedictine centuries". In April 2008, Pope Benedict XVI discussed the influence St Benedict had on Western Europe. The pope said that "with his life and work St Benedict exercised a fundamental influence on the development of European civilization and culture" and helped Europe to emerge from the "dark night of history" that followed the fall of the Roman Empire.
Benedict contributed more than anyone else to the rise of monasticism in the West. His Rule was the foundational document for thousands of religious communities in the Middle Ages. To this day, The Rule of St. Benedict is the most common and influential Rule used by monasteries and monks, more than 1,400 years after its writing.
A basilica was built upon the birthplace of Benedict and Scholastica in the 1400s. Ruins of their familial home were excavated from beneath the church and preserved. The earthquake of 30 October 2016 completely devastated the structure of the basilica, leaving only the front facade and altar standing. |
Battle of Pharsalus
The Battle of Pharsalus was the decisive battle of Caesar's Civil War fought on 9 August 48 BC near Pharsalus in Central Greece. Julius Caesar and his allies formed up opposite the army of the Roman Republic under the command of Pompey. Pompey had the backing of a majority of Roman senators and his army significantly outnumbered the veteran Caesarian legions.
Pressured by his officers, Pompey reluctantly engaged in battle and suffered an overwhelming defeat, ultimately fleeing the camp and his men, disguised as an ordinary citizen. Eventually making his way to Egypt, he was assassinated upon his arrival at the order of Ptolemy XIII.
Prelude.
Following the start of the Civil War, Caesar had captured Rome, forced Pompey and his allies to withdraw from Italy, and defeated Pompey's legates in Spain. In the campaign season for 48 BC, Caesar crossed the Adriatic and advanced on Dyrrachium. There, he besieged it, but was defeated.
Caesar then withdrew east into Thessaly, partly to relieve one of his legates from attack by Metellus Scipio's forces arriving from Syria. He besieged Gomphi after it resisted him. Pompey pursued, seeking to spare Italy from invasion by concluding the war on Greek soil, to prevent Caesar from defeating Metellus Scipio's forces arriving from Syria, and under pressure from his overconfident allies who accused him of prolonging the war to extend his command.
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Date.
The decisive battle took place on 9 August 48 BC according to the Republican calendar.
Location.
The location of the battlefield was for a long time the subject of controversy among scholars. Caesar himself, in his "Commentarii de Bello Civili", mentions few place-names; and although the battle is called after Pharsalos by modern authors, four ancient writers – the author of the "Bellum Alexandrinum" (48.1), Frontinus ("Strategemata" 2.3.22), Eutropius (20), and Orosius (6.15.27) – place it specifically at "Palae"pharsalus ("Old" Pharsalus). Strabo in his "Geographica" ("Γεωγραφικά") mentions both old and new Pharsaloi, and notes that the Thetideion, the temple to Thetis south of Scotoussa, was near both. In 198 BC, in the Second Macedonian War, Philip V of Macedon sacked Palaepharsalos (Livy, "Ab Urbe Condita" 32.13.9), but left new Pharsalos untouched. These two details perhaps imply that the two cities were not close neighbours. Many scholars, therefore, unsure of the site of Palaepharsalos, followed Appian (2.75) and located the battle of 48 BC south of the Enipeus or close to Pharsalos (today's Pharsala). Among the scholars arguing for the south side are Béquignon (1928), Bruère (1951), and Gwatkin (1957).
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An increasing number of scholars, however, have argued for a location on the north side of the river. These include Perrin (1885), Holmes (1908), Lucas (1921), Rambaud (1955), Pelling (1973), Morgan (1983), and Sheppard (2006). John D. Morgan in his definitive "Palae-pharsalus – the Battle and the Town", shows that Palaepharsalus cannot have been at Palaiokastro, as Béquignon thought (a site abandoned c. 500 BC), nor the hill of Fatih-Dzami within the walls of Pharsalus itself, as Kromayer (1903, 1931) and Gwatkin thought; and Morgan argues that it is probably also not the hill of Khtouri (Koutouri), some 7 miles north-west of Pharsalus on the south bank of the Enipeus, as Lucas and Holmes thought, although that remains a possibility. However, Morgan believes it is most likely to have been the hill just east of the village of (Krini Larisas, formerly Driskoli) very close to the ancient highway from Larisa to Pharsalus. This site is some north of Pharsalus, and three miles north of the river Enipeus, and not only has remains dating back to Neolithic times but also signs of habitation in the 1st century BC and later. The identification seems to be confirmed by the location of a place misspelled "Palfari" or "Falaphari" shown on a medieval route map of the road just north of Pharsalus. Morgan places Pompey's camp a mile to the west of Krini, just north of the village of Avra (formerly Sarikayia), and Caesar's camp some four miles to the east-south-east of Pompey's. According to this reconstruction, therefore, the battle took place not between Pharsalus and the river, as Appian wrote, but between Old Pharsalus and the river.
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An interesting side-note on Palaepharsalus is that it was sometimes identified in ancient sources with Phthia, the home of Achilles. Near Old and New Pharsalus was a "Thetideion", or temple dedicated to Thetis, the mother of Achilles. However, Phthia, the kingdom of Achilles and his father Peleus, is more usually identified with the lower valley of the Spercheios river, much further south.
Name of the battle.
Although it is often called the Battle of Pharsalus by modern historians, this name was rarely used in the ancient sources. Caesar merely calls it the "proelium in Thessaliā" ("battle in Thessalia"); Marcus Tullius Cicero and Hirtius call it the "Pharsālicum proelium" ("Pharsalic battle") or "pugna Pharsālia" ("Pharsalian battle"), and similar expressions are also used in other authors. But Hirtius (if he is the author of the de Bello Alexandrino) also refers to the battle as having taken place at "Palaepharsalus", and this name also occurs in Strabo, Frontinus, Eutropius, and Orosius. Lucan in his poem about the Civil War regularly uses the name "Pharsālia", and this term is also used by the epitomiser of Livy and by Tacitus. The only ancient sources to refer to the battle as being at Pharsalus are a certain calendar known as the Fasti Amiternini and the Greek authors Plutarch, Appian, and Polyaenus. It has therefore been argued by some scholars that "Pharsalia" would be a more accurate name for the battle than Pharsalus.
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Opposing armies.
The total number of soldiers on each side is unknown because ancient accounts of the battle focused primarily on giving the numbers of Italian legionaries only, regarding allied non-citizen contingents as inferior and inconsequential. According to Caesar, his own army included 22,000 Roman legionaries distributed throughout 80 cohorts (8 legions), alongside 1,000 Gallic and Germanic cavalry. All of Caesar's legions were understrength; some only had about a thousand men at the time of Pharsalus, due partly to losses at Dyrrhachium and partly to Caesar's wish to rapidly advance with a picked body as opposed to a ponderous movement with a large army. Another source adds that he had recruited Greek light infantry from Dolopia, Acarnania and Aetolia; these numbered no more than a few thousand. Caesar, Appian and Plutarch give Pompey an army of 45,000 Roman infantry. Osorius describes Pompey as having 88 cohorts of Roman infantry, which at full strength would come to 44,000 men, while Brunt and Wylie estimated Pompey's Roman infantry as being as 38,000 men, and Greenhalgh said they contained a maximum of 36,000.
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It was in his auxiliary troops and in particular his cavalry, all of which vastly outnumbered Caesar's own, that Pompey had his greatest advantage. He seems to have had at his disposal anywhere between 5,000 and 7,000 cavalry, and thousands of archers, slingers and light infantrymen in general. These all formed a remarkably diverse group, including Gallic and Germanic horsemen alongside all polyglot peoples of the east – namely Greeks, Thracians, and Anatolians from the Balkans and Syrians, Phoenicians and Jews from the Levant. To this heterogeneous force Pompey added horsemen conscripted from his own slaves. Many of the foreigners were serving under their own rulers, for more than a dozen despots and petty kings under Roman influence in the east were Pompey's personal clients and some elected to attend in person, or send proxies.
Caesarian legions.
Caesar had the following legions with him:
The bulk of Caesar's army at Pharsalus was made up of his veterans from the Gallic Wars; very experienced, battle-hardened troops who were absolutely devoted to their commander.
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Deployment.
The two generals deployed their legions in the traditional three lines ("triplex acies"), with Pompey's right and Caesar's left flanks resting on river Enipeus. As the stream provided enough protection to that side, Pompey moved almost all of his cavalry, archers, and slingers to the left, to make the most of their numerical strength. Only a small force of 500–600 Pontic cavalry and some Cappadocian light infantry was placed on his right flank. Pompey stationed his strongest legions in the center and wings of his infantry line, and dispersed some 2,000 re-enlisted veterans throughout the entire line in order to inspire the less experienced. The Pompeian cohorts were arrayed in an unusually thick formation, 10 men deep: their task was just to tie down the enemy foot while Pompey's cavalry, his key to victory, swept through Caesar's flank and rear. The column of legions was divided under command of three subordinates, with Lentulus in charge of the left, Scipio of the center and Ahenobarbus the right. Labienus was entrusted with command of the cavalry charge, while Pompey himself took up a position behind the left wing in order to oversee the course of the battle.
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Caesar also deployed his men in three lines, but, being outnumbered, had to thin his ranks to a depth of only six men, in order to match the frontage presented by Pompey. His left flank, resting on the Enipeus River, consisted of his battle-worn IX legion supplemented by the VIII legion, these were commanded by Mark Antony. The VI, XII, XI and XIII formed the centre and were commanded by Domitius, then came the VII and upon his right he placed his favored X legion, giving Sulla command of this flank – Caesar himself took his stand on the right, across from Pompey. Upon seeing the disposition of Pompey's army Caesar grew discomforted, and further thinned his third line in order to form a fourth line on his right: this to counter the onslaught of the enemy cavalry, which he knew his numerically inferior cavalry could not withstand. He gave this new line detailed instructions for the role they would play, hinting that upon them would rest the fortunes of the day, and gave strict orders to his third line not to charge until specifically ordered.
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Battle.
There was significant distance between the two armies, according to Caesar. Pompey ordered his men not to charge, but to wait until Caesar's legions came into close quarters; Pompey's adviser Gaius Triarius believed that Caesar's infantry would be fatigued and fall into disorder if they were forced to cover twice the expected distance of a battle march. Also, stationary troops were expected to be able to defend better against pila throws. Seeing that Pompey's army was not advancing, Caesar's infantry under Mark Antony and Gnaeus Domitius Calvinus started the advance. As Caesar's men neared throwing distance, without orders, they stopped to rest and regroup before continuing the charge; Pompey's right and centre line held as the two armies collided.
As Pompey's infantry fought, Labienus ordered the Pompeian cavalry on his left flank to attack Caesar's cavalry; as expected they successfully pushed back Caesar's cavalry. Caesar then revealed his hidden fourth line of infantry and surprised Pompey's cavalry charge; Caesar's men were ordered to leap up and use their pila to thrust at Pompey's cavalry instead of throwing them. Pompey's cavalry panicked and suffered hundreds of casualties, as Caesar's cavalry came about and charged after them. After failing to reform, the rest of Pompey's cavalry retreated to the hills, leaving the left wing of his legions exposed to the hidden troops as Caesar's cavalry wheeled around their flank. Caesar then ordered in his third line, containing his most battle-hardened veterans, to attack. This broke Pompey's left wing troops, who fled the battlefield.
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After routing Pompey's cavalry, Caesar threw in his last line of reservesa move which at this point meant that the battle was more or less decided. Pompey lost the will to fight as he watched both cavalry and legions under his command break formation and flee from battle, and he retreated to his camp, leaving the rest of his troops at the centre and right flank to their own devices. He ordered the garrisoned auxiliaries to defend the camp as he gathered his family, loaded up gold, and threw off his general's cloak to make a quick escape. As the rest of Pompey's army were left confused, Caesar urged his men to end the day by routing the rest of Pompey's troops and capturing the Pompeian camp. They complied with his wishes; after finishing off the remains of Pompey's men, they furiously attacked the camp walls. The Thracians and the other auxiliaries who were left in the Pompeian camp, in total seven cohorts, defended bravely, but were not able to fend off the assault.
Caesar had won his greatest victory, claiming to have only lost about 200 soldiers and 30 centurions and assigning the Optimate losses to be 60,000 men. These numbers seem suspiciously exaggerated with Appian suggesting the Caesarean losses to be as many as 1,200 men and the Pompeian losses to be 6,000. In his history of the war, Caesar would praise his own men's discipline and experience, and remembered each of his centurions by name. He also questioned Pompey's decision not to charge.
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Aftermath.
Pompey, despairing of the defeat, fled with his advisors overseas to Mytilene and thence to Cilicia where he held a council of war; at the same time, Cato and supporters at Dyrrachium attempted first to hand over command to Marcus Tullius Cicero, who refused, deciding instead to return to Italy. They then regrouped at Corcyra and went thence to Libya. Others, including Marcus Junius Brutus sought Caesar's pardon, travelling over marshlands to Larissa where he was then welcomed graciously by Caesar in his camp. Pompey's council of war decided to flee to Egypt, which had in the previous year supplied him with military aid.
In the aftermath of the battle, Caesar captured Pompey's camp and burned Pompey's correspondence. He then announced that he would forgive all who asked for mercy. Pompeian naval forces in the Adriatic and Italy mostly withdrew or surrendered.
Hearing of Pompey's flight to Egypt, Caesar remained in hot pursuit, first landing in Asia and reaching Alexandria on 2 October 48 BC, where he learnt of Pompey's murder and then was embroiled in a dynastic dispute between Ptolemy XIII and Cleopatra.
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Importance.
Paul K. Davis wrote that "Caesar's victory took him to the pinnacle of power, effectively ending the Republic." The battle itself did not end the civil war but it was decisive and gave Caesar a much needed boost in legitimacy. Until then much of the Roman world outside Italy supported Pompey and his allies due to the extensive list of clients he held in all corners of the Republic. After Pompey's defeat former allies began to align themselves with Caesar as some came to believe the gods favored him, while for others it was simple self-preservation. The ancients took great stock in success as a sign of favoritism by the gods. This is especially true of success in the face of almost certain defeat – as Caesar experienced at Pharsalus. This allowed Caesar to parlay this single victory into a huge network of willing clients to better secure his hold over power and force the Optimates into near exile in search for allies to continue the fight against Caesar.
In popular culture.
The battle gives its name to the following artistic, geographical, and business concerns:
In Alexandre Dumas' "The Three Musketeers", the author makes reference to Caesar's purported order that his men try to cut the faces of their opponents – their vanity supposedly being of more value to them than their lives.
In Mankiewicz's 1963 film "Cleopatra", the immediate aftermath of Pharsalus is used as an opening scene to set the action in motion. |
Bigfoot
Bigfoot (), also commonly referred to as Sasquatch (), is a large, hairy mythical creature said to inhabit forests in North America, particularly in the Pacific Northwest. Bigfoot is featured in both American and Canadian folklore, and since the mid-20th century has grown into a cultural icon, permeating popular culture and becoming the subject of its own distinct subculture.
Enthusiasts of Bigfoot, such as those within the pseudoscience of cryptozoology, have offered various forms of dubious evidence to prove Bigfoot's existence, including anecdotal claims of sightings as well as alleged photographs, video and audio recordings, hair samples, and casts of large footprints. However, the scientific consensus is that Bigfoot, and alleged evidence, is a combination of folklore, misidentification, and hoax rather than a living animal.
Folklorists trace the phenomenon of Bigfoot to a combination of factors and sources, including the European wild man figure, folk tales, and indigenous cultures. Examples of similar folk tales of wild, hair-covered humanoids exist throughout the world, such as the Skunk ape of the southeastern United States, the Almas, Yeren, and Yeti in Asia, the Australian Yowie, and creatures in the mythologies of indigenous people. Wishful thinking, a cultural increase in environmental concerns, and overall societal awareness of the subject have been cited as additional factors.
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Description.
Bigfoot is often described as a large, muscular, and bipedal human or ape-like creature covered in black, dark brown, or dark reddish hair. Anecdotal descriptions estimate a height of roughly , with some descriptions having the creatures standing as tall as . Some alleged observations describe Bigfoot as more human than ape, particularly in regard to the face. In 1971, multiple people in The Dalles, Oregon, filed a police report describing an "overgrown ape", and one of the men claimed to have sighted the creature in the scope of his rifle but could not bring himself to shoot it because "it looked more human than animal".
Common descriptions include broad shoulders, no visible neck, and long arms, which many skeptics attribute to misidentification of a bear standing upright. Some alleged nighttime sightings have stated the creature's eyes "glowed" yellow or red. However, eyeshine is not present in humans or any other known great apes, and so proposed explanations for observable eyeshine off of the ground in the forest include owls, raccoons, or opossums perched in foliage.
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Michael Rugg, the owner of the Bigfoot Discovery Museum, claims to have smelled Bigfoot, stating, "Imagine a skunk that had rolled around in dead animals and had hung around the garbage pits."
The enormous footprints for which the creature is named are claimed to be as large as long and wide. Some footprint casts have also contained claw marks, making it likely that they came from known animals such as bears, which have five toes and claws.
History.
Folklore and early records.
Ecologist Robert Pyle argues that most cultures have accounts of human-like giants in their folk history, expressing a need for "some larger-than-life creature". Each language had its name for the creature featured in the local version of such legends. Many names mean something like "wild man" or "hairy man", although other names described common actions that it was said to perform, such as eating clams or shaking trees. European folklore traditionally had many instances of the "wild man of the woods," or "wild people," often described as "a naked creature covered in hair, with only the face, feet and hands (and in some cases the knees, elbows, or breasts) remaining bare" These European wild people ranged from human hermits, to human-like monsters. Upon migrating to North America, myths of the "wild people" persisted, with documented sightings of "wild people" reported in what is now New York state and Pennsylvania. In a 2007 paper titled "Images of the Wildman Inside and Outside Europe" it stated:
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Many of the indigenous cultures across the North American continent include tales of mysterious hair-covered creatures living in forests, and according to anthropologist David Daegling, these legends existed long before contemporary reports of the creature described as Bigfoot. These stories differed in their details regionally and between families in the same community and are particularly prevalent in the Pacific Northwest. Chief Mischelle of the Nlaka'pamux at Lytton, British Columbia, told such a story to Charles Hill-Tout in 1898.
On the Tule River Indian Reservation, petroglyphs created by a tribe of Yokuts at a site called Painted Rock are alleged by Kathy Moskowitz Strain, author of the 2008 book "Giants, Cannibals, Monsters: Bigfoot in Native Culture", to depict a group of Bigfoots called "the Family". The largest glyph is called "Hairy Man", and they are estimated to be 1,000 years old. According to the Tulare County Board of Education in 1975, "Big Foot, the Hairy Man, was a creature that was like a great big giant with long, shaggy hair. His long shaggy hair made him look like a big animal. He was good in a way, because he ate the animals that might harm people", and Yokuts parents warned their children not to venture near the river at night or they may encounter the creature.
16th-century Spanish explorers and Mexican settlers told tales of the "los Vigilantes Oscuros", or "Dark Watchers", large creatures alleged to stalk their camps at night. In the region that is now Mississippi, a Jesuit priest was living with the Natchez in 1721 and reported stories of hairy creatures in the forest known to scream loudly and steal livestock.
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In 1929, Indian agent and teacher J.W. Burns, who lived and worked with the Sts'ailes Nation (then called the Chehalis First Nation), published a collection of stories titled, "Introducing B.C.'s Hairy Giants: A collection of strange tales about British Columbia's wild men as told by those who say they have seen them", in Maclean's magazine. The stories offered various anecdotal reports of wild people; including an encounter a tribal member had with a hairy wild woman who could speak the language of the Douglas First Nation. Burns coined the term "Sasquatch", believed to be the anglicized version of "sasq'ets" (sas-kets), roughly translating to "hairy man" in the Halq'emeylem language. Burns describes the Sasquatch as, "a tribe of hairy people whom they claim have always lived in the mountains – in tunnels and caves".
The folklore of the Cherokee includes tales of the "Tsul 'Kalu", who were described as "slant-eyed giants" that resided in the Appalachian Mountains, and is sometimes associated with Bigfoot.
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The Alutiiq of the Kenai Peninsula in Alaska tell of the "Nantinaq", a Bigfoot-like creature. This folklore was featured in the Discovery+ television series, "Alaskan Killer Bigfoot", which claims the "Nantinaq" was responsible for the population decrease of Portlock in the 1940s.
Less menacing versions have been recorded, such as one by Reverend Elkanah Walker in 1840. Walker was a Protestant missionary who recorded stories of giants among the natives living near Spokane, Washington. These giants were said to live on and around the peaks of the nearby mountains, stealing salmon from the fishermen's nets.
Ape Canyon incident.
On July 16, 1924, an article in "The Oregonian" made national news when a story was published describing a conflict between a group of gold prospectors and a group of "ape-men" in a gorge near Mount St. Helens. The prospectors reported encountering "gorilla men" near their remote cabin. One of the men, Fred Beck, indicated that he shot one of the creatures with a rifle. That night, they reported coming under attack by the creatures, who were said to have thrown large rocks at the cabin, damaging the roof and knocking Beck unconscious. The men fled the area the following morning. The U.S. Forest Service investigated the site of the alleged incident. The investigators found no compelling evidence of the event and concluded it was likely a fabrication. Stories of large, hair covered bipedal ape-men or "mountain devils" had been a persistent piece of folklore in the area for centuries prior to the alleged incident. Today, the area is known as Ape Canyon and is cemented within Bigfoot-related folklore.
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Origin of the "Bigfoot" name.
Jerry Crew and Andrew Genzoli.
In 1958, Jerry Crew, bulldozer operator for a logging company in Humboldt County, California, discovered a set of large, human-like footprints sunk deep within the mud in the Six Rivers National Forest. Upon informing his coworkers, many claimed to have seen similar tracks on previous job sites as well as telling of odd incidents such as an oil drum weighing having been moved without explanation. The logging company men soon began using the word "Bigfoot" to describe the apparent culprit. Crew and others initially believed someone was playing a prank on them. After observing more of these massive footprints, he contacted reporter Andrew Genzoli of the "Humboldt Times" newspaper. Genzoli interviewed lumber workers and wrote articles about the mysterious footprints, introducing the name "Bigfoot" in relation to the tracks and the local tales of large, hairy wild men. A plaster cast was made of the footprints and Crew appeared, holding one of the casts, on the front page of the newspaper on October 6, 1958. The story spread rapidly as Genzoli began to receive correspondence from major media outlets including the "New York Times" and "Los Angeles Times". As a result, the term Bigfoot became widespread as a reference to an apparently large, unknown creature leaving massive footprints in Northern California.
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Ray Wallace and Rant Mullens.
In 2002, the family of Jerry Crew's deceased coworker Ray Wallace revealed a collection of large, carved wooden feet stored in his basement. They stated that Wallace had been secretly making the footprints and was responsible for the tracks discovered by Crew.
Wallace was inspired by another hoaxer, Rant Mullens, who revealed information about his hoaxes in 1982. In the 1930s in Toledo, Washington, Mullens and a group of other foresters carved pairs of large feet made of wood and used them to create footprints in the mud to scare huckleberry pickers in the Gifford Pinchot National Forest. The group would also claim to be responsible for hoaxing the alleged Ape Canyon incident in 1924. Mullens and the group of foresters began referring to themselves as the St. Helens Apes, and would later have a cave dedicated to them.
Wallace, also from Toledo, knew Mullens and stated he collaborated with him to obtain a pair of the large wooden feet and subsequently used them to create footprints on the 1958 construction site as a means to scare away potential thieves.
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Other historical uses of "Bigfoot".
In the 1830s, a Wyandot chief was nicknamed "Big Foot" due to his significant size, strength and large feet. Potawatomi Chief Maumksuck, known as Chief "Big Foot", is today synonymous with the area of Walworth County, Wisconsin, and has a state park and school named for him. William A. A. Wallace, a famous 19th century Texas Ranger, was nicknamed "Bigfoot" due to his large feet and today has a town named for him: Bigfoot, Texas. Lakota leader Spotted Elk was also called "Chief Big Foot". In the late 19th and early 20th centuries, at least two enormous marauding grizzly bears were widely noted in the press and each nicknamed "Bigfoot." The first grizzly bear called "Bigfoot" was reportedly killed near Fresno, California, in 1895 after killing sheep for 15 years; his weight was estimated at 2,000 pounds (900 kg). The second one was active in Idaho in the 1890s and 1900s between the Snake and Salmon rivers, and supernatural powers were attributed to it.
Regional and other names.
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Many regions throughout North America have differentiating names for Bigfoot. In Canada, the name "Sasquatch" is widely used in addition to Bigfoot. The United States uses both of these names but also has numerous names and descriptions of the creatures depending on the region and area in which they are allegedly sighted. These include the "Skunk ape" in Florida and other southern states, the "Ohio Grassman" in Ohio, "Fouke Monster" in Arkansas, "Wood Booger" in Virginia, the "Monster of Whitehall" in Whitehall, New York, "Momo" in Missouri, "Honey Island Swamp Monster" in Louisiana, "Dewey Lake Monster" in Michigan, "Mogollon Monster" in Arizona, the "Big Muddy Monster" in southern Illinois, and "The Old Men of the Mountain" in West Virginia. The term "Wood Ape" is also used by some as a means to deviate from the perceived mythical connotation surrounding the name "Bigfoot". Other names include "Bushman", "Treeman", and "Wildman".
Patterson-Gimlin film.
On October 20, 1967, Bigfoot enthusiast Roger Patterson and his partner Robert "Bob" Gimlin were filming a Bigfoot docudrama in an area called Bluff Creek in Northern California. The pair claimed they came upon a Bigfoot and filmed the encounter. The 59.5-second-long video, dubbed the "Patterson-Gimlin film" (PGF), has become iconic in popular culture and Bigfoot-related history and lore. The PGF continues to be a highly scrutinized, analyzed, and debated subject.
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Academic experts from related fields have typically judged the film as providing no supportive data of any scientific value, with perhaps the most common proposed explanation being that it was a hoax.
Proposed explanations.
Various explanations have been suggested for sightings and to offer conjecture on what existing animal has been misidentified in supposed sightings of Bigfoot. Scientists typically attribute sightings to hoaxes or misidentifications of known animals and their tracks, particularly black bears.
Misidentification.
Bears.
Scientists theorize that mistaken identification of American black bears as Bigfoot are a likely explanation for most reported sightings, particularly when observers view a subject from afar, are in dense foliage, or there are poor lighting conditions. Additionally, black bears have been observed and recorded walking upright, often as the result of an injury. While upright, adult black bears stand roughly , and grizzly bears roughly .
According to data scientist Floe Foxon, more people report seeing Bigfoot in areas with documented black bear populations. Foxon concludes, "If bigfoot is there, it may be many bears". Foxon acknowledges that alleged Bigfoot sightings have been reported in areas with minimal or no known black bear populations. She states, "Although this may be interpreted as evidence for the existence of an unknown hominid in North America, it is also explained by misidentification of other animals (including humans), among other possibilities".
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Escaped apes.
Some have proposed that sightings of Bigfoot may simply be people observing and misidentifying known great apes such as chimpanzees, gorillas, and orangutans that have escaped from captivity such as zoos, circuses, and exotic pets belonging to private owners. This explanation is often proposed in relation to the Skunk ape, as some scientists argue the humid subtropical climate of the southeastern United States could potentially support a population of escaped apes.
Humans.
Humans have been mistaken for Bigfoot, with some incidents leading to injuries. In 2013, a 21-year-old man in Oklahoma was arrested after he told law enforcement he accidentally shot his friend in the back while their group was allegedly hunting for Bigfoot. In 2017, a shamanist wearing clothing made of animal furs was vacationing in a North Carolina forest when local reports of alleged Bigfoot sightings flooded in. The Greenville Police Department issued a public notice not to shoot Bigfoot for fear of mistakenly injuring or killing someone in a fur suit. In 2018, a person was shot multiple times by a hunter near Helena, Montana, who claimed he mistook him for a Bigfoot.
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Additionally, some have attributed feral humans or hermits living in the wilderness as being another explanation for alleged Bigfoot sightings. One story, the Wild Man of the Navidad, tells of a wild ape-man who roamed the wilderness of eastern Texas in the mid-19th century, stealing food and goods from residents. A search party allegedly captured an escaped African slave attributed to the story. During the 1980s, several psychologically damaged American Vietnam veterans were stated by the state of Washington's veterans' affairs director, Randy Fisher, to have been living in remote wooded areas of the state.
Pareidolia.
Some have proposed that pareidolia may explain Bigfoot sightings, specifically the tendency to observe human-like faces and figures within the natural environment. Photos and videos of poor quality alleged to depict Bigfoots are often attributed to this phenomenon and commonly referred to as "Blobsquatch".
Misidentified vocalizations.
The majority of mainstream scientists maintain that the source of the sounds often attributed to Bigfoot are either hoaxes, anthropomorphization, or likely misidentified and produced by known animals such as owl, wolf, coyote, and fox.
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Hoaxes.
Both Bigfoot believers and non-believers agree that many reported sightings are hoaxes.
"Gigantopithecus".
Bigfoot proponents Grover Krantz and Geoffrey H. Bourne both believed that Bigfoot could be a relict population of the extinct southeast Asian ape species "Gigantopithecus blacki". According to Bourne, "G. blacki" may have followed the many other species of animals that migrated across the Bering land bridge to the Americas. To date, no "Gigantopithecus" fossils have been found in the Americas. In Asia, the only recovered fossils have been of mandibles and teeth, leaving uncertainty about "G. blacki"s locomotion. Krantz has argued that "G. blacki" could have been bipedal, based on his extrapolation from the shape of its mandible. However, the relevant part of the mandible is not present in any fossils. The consensus view is that "G. blacki" was quadrupedal, as its enormous mass would have made it difficult for it to adopt a bipedal gait.
Anthropologist Matt Cartmill criticizes the "G. blacki" hypothesis:
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The trouble with this account is that "Gigantopithecus" was not a hominin and maybe not even a crown group hominoid; yet the physical evidence implies that Bigfoot is an upright biped with buttocks and a long, stout, permanently adducted hallux. These are hominin autapomorphies, not found in other mammals or other bipeds. It seems unlikely that "Gigantopithecus" would have evolved these uniquely hominin traits in parallel.
Paleoanthropologist Bernard G. Campbell writes: "That "Gigantopithecus" is in fact extinct has been questioned by those who believe it survives as the Yeti of the Himalayas and the Sasquatch of the north-west American coast. But the evidence for these creatures is not convincing."
Extinct hominidae.
Primatologist John R. Napier and anthropologist Gordon Strasenburg have suggested a species of "Paranthropus" as a possible candidate for Bigfoot's identity, such as "Paranthropus robustus", with its gorilla-like crested skull and bipedal gait —despite the fact that fossils of "Paranthropus" are found only in Africa.
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Michael Rugg of the Bigfoot Discovery Museum presented a comparison between human, "Gigantopithecus," and "Meganthropus" skulls (reconstructions made by Grover Krantz) in episodes 131 and 132 of the Bigfoot Discovery Museum Show. Bigfoot enthusiasts that think Bigfoot may be the "missing link" between apes and humans have promoted the idea that Bigfoot is a descendant of "Gigantopithecus blacki", but that ape diverged from orangutans around 12 million years ago and is not related to humans.
Some suggest Neanderthal, "Homo erectus", or "Homo heidelbergensis" to be the creature, but, like all other great apes, no remains of any of those species have been found in the Americas.
Scientific view.
Expert consensus is that allegations of the existence of Bigfoot are not credible. Belief in the existence of such a large, ape-like creature is more often attributed to hoaxes, confusion, or delusion rather than to sightings of a genuine creature. In a 1996 "USA Today" article, Washington State zoologist John Crane said, "There is no such thing as Bigfoot. No data other than material that's clearly been fabricated has ever been presented." The author of one review article states that, in their opinion, it is impossible even to consider cryptozoology a science if it continues to consider Bigfoot seriously.
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As with other similar beings, climate and food supply issues would make such a creature's survival in reported habitats unlikely. Bigfoot is alleged to live in regions unusual for a large, nonhuman primate, i.e., temperate latitudes in the northern hemisphere; all recognized nonhuman apes are found in the tropics of Africa and Asia. Great apes have not been found in the fossil record in the Americas, and no Bigfoot remains are known to have been found. Phillips Stevens, a cultural anthropologist at the University at Buffalo, summarized the scientific consensus as follows:
In the 1970s, when Bigfoot "experts" were frequently given high-profile media coverage, McLeod writes that the scientific community generally avoided lending credence to such fringe theories by refusing even to debate them.
Primatologist Jane Goodall was asked for her personal opinion of Bigfoot in a 2002 interview on National Public Radio's "Science Friday". Goodall responded saying, "Well, now you will be amazed when I tell you that I'm sure that they exist."
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She later added, "Well, I'm a romantic, so I always wanted them to exist," and "Of course, the big, the big criticism of all this is, "Where is the body?" You know, why isn't there a body? I can't answer that, and maybe they don't exist, but I want them to." In 2012, when asked again by the "Huffington Post", Goodall said "I'm fascinated and would actually love them to exist," adding, "Of course, it's strange that there has never been a single authentic hide or hair of the Bigfoot, but I've read all the accounts."
Paleontologist and author Darren Naish states in a 2016 article for "Scientific American" that if "Bigfoot" existed, an abundance of evidence would also exist that cannot be found anywhere today, making the existence of such a creature exceedingly unlikely.
Naish summarizes the evidence for "Bigfoot" that would exist if the creature itself existed:
Researchers.
Ivan T. Sanderson and Bernard Heuvelmans, founders of the study of cryptozoology, spent parts of their career searching for Bigfoot. Later scientists who researched the topic included Jason Jarvis, Carleton S. Coon, George Allen Agogino and William Charles Osman Hill, though they later stopped their research due to lack of evidence for the alleged creature.
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John Napier asserts that the scientific community's attitude towards Bigfoot stems primarily from insufficient evidence. Other scientists who have shown varying degrees of interest in the creature are Grover Krantz, Jeffrey Meldrum, John Bindernagel, David J. Daegling, George Schaller, Russell Mittermeier, Daris Swindler, Esteban Sarmiento, and Mireya Mayor.
Formal studies.
One study was conducted by John Napier and published in his book "Bigfoot: The Yeti and Sasquatch in Myth and Reality" in 1973. Napier wrote that if a conclusion is to be reached based on scant extant "'hard' evidence," science must declare "Bigfoot does not exist." However, he found it difficult to entirely reject thousands of alleged tracks, "scattered over 125,000 square miles" (325,000 km2) or to dismiss all "the many hundreds" of eyewitness accounts. Napier concluded, "I am convinced that Sasquatch exists, but whether it is all it is cracked up to be is another matter altogether. There must be "something" in north-west America that needs explaining, and that something leaves man-like footprints."
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In 1974, the National Wildlife Federation funded a field study seeking Bigfoot evidence. No formal federation members were involved and the study made no notable discoveries. Also in 1974, the now defunct North American Wildlife Research Team constructed a "Bigfoot trap" in the Rogue River–Siskiyou National Forest. It was baited with animal carcasses and captured multiple bears, but no Bigfoot. Upkeep of the trap ended in the early 1980s, but in 2006 the United States Forest Service repaired the trap, which today is a tourist destination along the Collings Mountain hiking trail.
Beginning in the late 1970s, physical anthropologist Grover Krantz published several articles and four book-length treatments of Bigfoot. However, his work was found to contain multiple scientific failings including falling for hoaxes.
A study published in the "Journal of Biogeography" in 2009 by J.D. Lozier et al. used ecological niche modeling on reported sightings of Bigfoot, using their locations to infer preferred ecological parameters. They found a very close match with the ecological parameters of the American black bear. They also note that an upright bear looks much like a Bigfoot's purported appearance and consider it highly improbable that two species should have very similar ecological preferences, concluding that Bigfoot sightings are likely misidentified sightings of black bears.
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In the first systematic genetic analysis of 30 hair samples that were suspected to be from Bigfoot-like creatures, only one was found to be primate in origin, and that was identified as human. A joint study by the University of Oxford and Lausanne's Cantonal Museum of Zoology and published in the "Proceedings of the Royal Society B" in 2014, the team used a previously published cleaning method to remove all surface contamination and the ribosomal mitochondrial DNA 12S fragment of the sample. The sample was sequenced and then compared to GenBank to identify the species origin. The samples submitted were from different parts of the world, including the United States, Russia, the Himalayas, and Sumatra. Other than one sample of human origin, all but two are from common animals. Black and brown bears accounted for most of the samples, other animals include cow, horse, dog/wolf/coyote, sheep, goat, deer, raccoon, porcupine, and tapir. The last two samples were thought to match a fossilized genetic sample of a 40,000 year old polar bear of the Pleistocene epoch; a second test identified these hairs as being from a rare type of brown bear.
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In 2019, the FBI declassified an analysis it conducted on alleged Bigfoot hairs in 1976. Bigfoot researcher Peter Byrne sent the FBI 15 hairs attached to a small skin fragment and asked if the bureau could assist him in identifying it. Jay Cochran Jr., assistant director of the FBI's Scientific and Technical Services division responded in 1977 that the hairs were of deer family origin.
Claims.
Claims about the origins and characteristics of Bigfoot vary. Thomas Sewid, a Bigfoot researcher and member of the Kwakwakaʼwakw tribe claims, "They're just the other tribe. They're just big, hairy humans with nocturnal vision that choose not to have weapons or fire or permanent shelters".
The subject of Bigfoot has also crossed over with other paranormal claims, including that Bigfoot, extraterrestrials, and UFOs are related or that Bigfoot are psychic, can shapeshift, are able to cross into different dimensions, or are completely supernatural in origin. Additionally, claims regarding Bigfoot have been associated with conspiracy theories including a government cover-up.
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There have also been claims that Bigfoot is responsible for the disappearances of people in the wilderness, such as the 1969 disappearance of Dennis Martin in Great Smoky Mountains National Park.
Additionally, there have been claims that Bigfoot has been responsible for vehicle accidents, vandalizing property, delaying construction, and killing people. In 2022, a man from Oklahoma claimed he killed his friend because he believed he had summoned Bigfoot and was going to be sacrificed to the creature.
Sightings.
According to "Live Science", there have been over 10,000 reported Bigfoot sightings in the continental United States. About one-third of all claims of Bigfoot sightings are located in the Pacific Northwest, with the remaining reports spread throughout the rest of North America. Most reports are considered mistakes or hoaxes, even by those researchers who claim Bigfoot exists.
Sightings predominantly occur in the northwestern region of Washington state, Oregon, Northern California, and British Columbia. According to data collected from the Bigfoot Field Researchers Organization's (BFRO) Bigfoot sightings database in 2019, Washington has over 2,000 reported sightings, California over 1,600, Pennsylvania over 1,300, New York and Oregon over 1,000, and Texas has just over 800. The debate over the legitimacy of Bigfoot sightings reached a peak in the 1970s, and Bigfoot has been regarded as the first widely popularized example of pseudoscience in American culture.
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Reports of alleged Bigfoot sightings are often featured in news stories throughout the United States.
Alleged behavior.
Some Bigfoot researchers allege that Bigfoot throws rocks as territorial displays and for communication. Other alleged behaviors include audible blows struck against trees or "wood knocking", further alleged to be communicative.
Skeptics argue that these behaviors are easily hoaxed.
Additionally, structures of broken and twisted foliage seemingly placed in specific areas have been attributed by some to Bigfoot behavior. In some reports, lodgepole pine and other small trees have been observed bent, uprooted, or stacked in patterns such as weaved and crisscrossed, leading some to theorize that they are potential territorial markings. Some instances have also included entire deer skeletons being suspended high in trees. Some researchers and enthusiasts believe Bigfoot construct teepee-like structures out of dead trees and foliage. In Washington state, a team of amateur Bigfoot researchers called the Olympic Project claimed to have discovered a collection of nests. The group brought in primatologists to study them, with the conclusion being that they appear to have been created by a primate.
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Jeremiah Byron, host of the "Bigfoot Society Podcast", believes Bigfoot are omnivores, stating, "They eat both plants and meat. I've seen accounts that they eat everything from berries, leaves, nuts, and fruit to salmon, rabbit, elk, and bear. Ronny Le Blanc, host of "Expedition Bigfoot" on the Travel Channel indicated he has heard anecdotal reports of Bigfoot allegedly hunting and consuming deer. In the 2001 nature documentary "Great North", a dark bipedal figure was captured on film while the filmmakers were recording a herd of caribou. The footage has sparked debate, as some Bigfoot researchers claim the figure is a Bigfoot stalking the caribou. In 2016, Bigfoot researcher ThinkerThunker released a YouTube video in which he interviewed one of the "Great North" directors, William Reeve, who claims it could not have been a human but was possibly a bear, although he and his crew denied seeing any bears while filming.
Some Bigfoot researchers have reported the creatures moving or taking possession of intentional "gifts" left by humans such as food and jewelry, and leaving items in their places such as rocks and twigs.
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Many alleged sightings are reported to occur at night leading some cryptozoologists to hypothesize that Bigfoot may possess nocturnal tendencies. However, experts find such behavior untenable in a supposed ape- or human-like creature, as all known apes, including humans, are diurnal, with only lesser primates exhibiting nocturnality. Most anecdotal sightings of Bigfoot describe the creatures allegedly observed as solitary, although some reports have described groups being allegedly observed together.
Alleged vocalizations.
Alleged vocalizations such as howls, screams, moans, grunts, whistles, and even a form of supposed language have been reported and allegedly recorded. Some of these alleged vocalization recordings have been analyzed by individuals such as retired U.S. Navy cryptologic linguist Scott Nelson. He analyzed audio recordings from the early 1970s said to be recorded in the Sierra Nevada mountains dubbed the "Sierra Sounds" and stated, "It is definitely a language, it is definitely not human in origin, and it could not have been faked". Les Stroud has spoken of a strange vocalization he heard in the wilderness while filming "Survivorman" that he stated sounded primate in origin. A number of anecdotal reports of Bigfoot encounters have resulted in witnesses claiming to be disoriented, dizzy and anxious. Some Bigfoot researchers, such as paranormal author Nick Redfern, have proposed that Bigfoot may produce infrasound, which could explain reports of this nature.
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Alleged encounters.
In Fouke, Arkansas, in 1971, a family reported that a large, hair-covered creature startled a woman after reaching through a window. This alleged incident caused hysteria in the Fouke area and inspired the horror movie, "The Legend of Boggy Creek" (1972). The report was later deemed a hoax.
In 1974, the "New York Times" presented the dubious tale of Albert Ostman, a Canadian prospector, who stated that he was kidnapped and held captive by a family of Bigfoot for six days in 1924.
In 1994, former U.S. Forest Service ranger Paul Freeman, a Bigfoot researcher, videotaped an alleged Bigfoot he reportedly encountered in the Blue Mountains in Oregon. The tape, often referred to as the "Freeman footage", continues to be scrutinized and its authenticity debated. Freeman had previously gained media recognition in the 1980s for documenting alleged Bigfoot tracks, claiming they possessed dermal ridges.
On May 26, 1996, Lori Pate, who was on a camping trip near the Washington state-Canada border, videotaped a dark subject she reported encountering running across a field and claimed it was Bigfoot. The film, dubbed the "Memorial Day Bigfoot footage", is often depicted in Bigfoot-related media, most notably in the 2003 documentary, "". In his research, Daniel Perez of the "Skeptical Inquirer" concluded that the footage was likely a hoax perpetuated by a human in a gorilla costume.
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