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of the biosphere. it is an interdisciplinary concept for integrating astronomy, geophysics, meteorology, biogeography, evolution, geology, geochemistry, hydrology and, generally speaking, all life and earth sciences. narrow definition geochemists define the biosphere as being the total sum of living organisms ( the " b...
https://en.wikipedia.org/wiki/Biosphere
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8 trillion tons of carbon ( of the total biosphere mass, estimated at between 1 and 4 trillion tons ). barophilic marine microbes have been found at more than a depth of in the mariana trench, the deepest spot in the earth's oceans. in fact, single - celled life forms have been found in the deepest part of the mariana ...
https://en.wikipedia.org/wiki/Biosphere
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13, 000 m2 ). bios - 1, bios - 2 and bios - 3 at the institute of biophysics in krasnoyarsk, siberia, in what was then the soviet union. biosphere j ( ceef, closed ecology experiment facilities ), an experiment in japan. micro - ecological life support system alternative ( melissa ) at universitat autonoma de barcelona...
https://en.wikipedia.org/wiki/Biosphere
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a biological membrane, biomembrane or cell membrane is a selectively permeable membrane that separates the interior of a cell from the external environment or creates intracellular compartments by serving as a boundary between one part of the cell and another. biological membranes, in the form of eukaryotic cell membra...
https://en.wikipedia.org/wiki/Biological%20membrane
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eucaryotic cells, new phospholipids are manufactured by enzymes bound to the part of the endoplasmic reticulum membrane that faces the cytosol. these enzymes, which use free fatty acids as substrates, deposit all newly made phospholipids into the cytosolic half of the bilayer. to enable the membrane as a whole to grow ...
https://en.wikipedia.org/wiki/Biological%20membrane
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proteins phospholipid bilayers contain different proteins. these membrane proteins have various functions and characteristics and catalyze different chemical reactions. integral proteins span the membranes with different domains on either side. integral proteins hold strong association with the lipid bilayer and cannot...
https://en.wikipedia.org/wiki/Biological%20membrane
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biomedical engineering ( bme ) or medical engineering is the application of engineering principles and design concepts to medicine and biology for healthcare purposes ( e. g., diagnostic or therapeutic ). bme is also traditionally logical sciences to advance health care treatment, including diagnosis, monitoring, and t...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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understanding the genetic basis of disease, unique adaptations, desirable properties ( esp. in agricultural species ), or differences between populations. in a less formal way, bioinformatics also tries to understand the organizational principles within nucleic acid and protein sequences. biomechanics biomechanics is t...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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accuracy in procedures such as laser surgery and retinal imaging. tissue engineering tissue engineering, like genetic engineering ( see below ), is a major segment of biotechnology – which overlaps significantly with bme. one of the goals of tissue engineering is to create artificial organs ( via biological material ) ...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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##apes. class iii devices generally require premarket approval ( pma ) or premarket notification ( 510k ), a scientific review to ensure the device's safety and effectiveness, in addition to the general controls of class i. examples include replacement heart valves, hip and knee joint implants, silicone gel - filled br...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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the body might be made of a biomedical material such as titanium, silicone or apatite depending on what is the most functional. in some cases, implants contain electronics, e. g. artificial pacemakers and cochlear implants. some implants are bioactive, such as subcutaneous drug delivery devices in the form of implantab...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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of the state of the art so as to redirect procurement patterns accordingly. their inherent focus on practical implementation of technology has tended to keep them oriented more towards incremental - level redesigns and reconfigurations, as opposed to revolutionary research & development or ideas that would be many year...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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life cycles. the same standard ( iso en 13485 ) is usually applied for quality management systems in the us and worldwide. in the european union, there are certifying entities named " notified bodies ", accredited by the european member states. the notified bodies must ensure the effectiveness of the certification proc...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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only manufacturers but also importers and distributors share a responsibility to ensure electrical and electronic equipment within the scope of rohs complies with the hazardous substances limits and have a ce mark on their products. iec 60601 the new international standard iec 60601 for home healthcare electro - medica...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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. d., or md - phd ) degree in bme ( biomedical engineering ) or another branch of engineering with considerable potential for bme overlap. as interest in bme increases, many engineering colleges now have a biomedical engineering department or program, with offerings ranging from the undergraduate ( b. sc., b. s., b. en...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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be a significant factor in the perceived prestige of its bme department / program. graduate education is a particularly important aspect in bme. while many engineering fields ( such as mechanical or electrical engineering ) do not need graduate - level training to obtain an entry - level job in their field, the majorit...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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european community attempts to supplant some of the national jurisdictional barriers that still exist. recently, initiatives such as biomedea have sprung up to develop bme - related education and professional standards. other countries, such as australia, are recognizing and moving to correct deficiencies in their bme ...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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for most u. s. jurisdictions β€” does now cover biology ( although technically not bme ). for the second exam, called the principles and practices, part 2, or the professional engineering exam, candidates may select a particular engineering discipline's content to be tested on ; there is currently not an option for bme w...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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than 50 years of contributions that have spawned innovations ranging from burn treatments to miniature defibrillators, ligament repair to tiny blood pressure monitors for premature infants, as well as a new method for performing cardiopulmonary resuscitation ( cpr ). willem johan kolff ( deceased ) – pioneer of hemodia...
https://en.wikipedia.org/wiki/Biomedical%20engineering
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in atomic physics, the bohr model or rutherford – bohr model of the atom, presented by niels bohr and ernest rutherford in 1913, consists of a small, dense nucleus surrounded by orbiting electrons. it is analogous to the structure of the solar system, but with attraction provided by electrostatic force rather than grav...
https://en.wikipedia.org/wiki/Bohr%20model
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to introduce students to quantum mechanics or energy level diagrams before moving on to the more accurate, but more complex, valence shell atom. a related quantum model was proposed by arthur erich haas in 1910 but was rejected until the 1911 solvay congress where it was thoroughly discussed. the quantum theory of the ...
https://en.wikipedia.org/wiki/Bohr%20model
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not suspected. in 1925, a new kind of mechanics was proposed, quantum mechanics, in which bohr's model of electrons traveling in quantized orbits was extended into a more accurate model of electron motion. the new theory was proposed by werner heisenberg. another form of the same theory, wave mechanics, was discovered ...
https://en.wikipedia.org/wiki/Bohr%20model
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is negative and inversely proportional to r. this means that it takes energy to pull the orbiting electron away from the proton. for infinite values of r, the energy is zero, corresponding to a motionless electron infinitely far from the proton. the total energy is half the potential energy, the difference being the ki...
https://en.wikipedia.org/wiki/Bohr%20model
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tightly around it in an ellipse with zero area ( this may be pictured as " back and forth ", without striking or interacting with the nucleus ). this is only reproduced in a more sophisticated semiclassical treatment like sommerfeld's. still, even the most sophisticated semiclassical model fails to explain the fact tha...
https://en.wikipedia.org/wiki/Bohr%20model
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one full orbital period. the integral is the action of action - angle coordinates. this condition, suggested by the correspondence principle, is the only one possible, since the quantum numbers are adiabatic invariants. the bohr – sommerfeld model was fundamentally inconsistent and led to many paradoxes. the magnetic q...
https://en.wikipedia.org/wiki/Bohr%20model
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blitz basic is the programming language dialect of the first blitz compilers, devised by new zealand - based developer mark sibly. being derived from basic, blitz syntax was designed to be easy to pick up for beginners first learning to program. the languages are game - programming oriented but are often found general ...
https://en.wikipedia.org/wiki/Blitz%20BASIC
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blitzplus games and applications to run on systems that might only have directx 1. blitzmax the first blitzmax compiler was released in december 2004 for mac os x. this made it the first blitz dialect that could be compiled on * nix platforms. compilers for microsoft windows and linux were subsequently released in may ...
https://en.wikipedia.org/wiki/Blitz%20BASIC
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. 26 was released which included the addition of a reflection module. blitzmax 1. 32 shipped new threading and lua scripting modules and most of the standard library functions have been updated so that they are unicode friendly. blitz3d sdk blitz3d sdk is a 3d graphics engine based on the engine in blitz3d. it was mark...
https://en.wikipedia.org/wiki/Blitz%20BASIC
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# = 27. 3 ; create a float variable ( # ) print " my name is " + name $ + " and i am " + age + " years old. " print " today, the temperature is " + temperature # + " degrees. " waitkey ( ) ; pauses execution until a key is pressed. end ; ends program. program that creates a windowed application that shows the current t...
https://en.wikipedia.org/wiki/Blitz%20BASIC
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15 july 2017 ) amiga development software articles with example basic code basic compilers basic programming language family formerly proprietary software free game engines free software object - oriented programming languages software using the zlib license video game development software video game ide
https://en.wikipedia.org/wiki/Blitz%20BASIC
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avenue, which runs north – south from the university campus to oakland, historically the site of much of the hippie culture of berkeley. martin luther king jr. way, which until 1984 was called grove street, runs north – south a few blocks west of shattuck avenue, connecting oakland and the freeways to the south with th...
https://en.wikipedia.org/wiki/Berkeley%2C%20California
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but were later expelled by the mughals in 1666. in the 18th - century, the mughal court rapidly disintegrated due to nader shah's invasion and internal rebellions, allowing european colonial powers to set up trading posts across the territory. the british east india company eventually emerged as the foremost military p...
https://en.wikipedia.org/wiki/Bengal
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popularity of the bungalow. the bengal region also has a rich heritage of indo - saracenic architecture, including numerous zamindar palaces and mansions. the most prominent example of this style is the victoria memorial, kolkata. in the 1950s, muzharul islam pioneered the modernist terracotta style of architecture in ...
https://en.wikipedia.org/wiki/Bengal
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isaac newton's rotating bucket argument ( also known as newton's bucket ) was designed to demonstrate that true rotational motion cannot be defined as the relative rotation of the body with respect to the immediately surrounding bodies. it is one of five arguments from the " properties, causes, and effects " of " true ...
https://en.wikipedia.org/wiki/Bucket%20argument
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no tendency to recede from the axis of relative motion, despite proximity to the pail. eventually, as the cord continues to unwind, the surface of the water assumes a concave shape as it acquires the motion of the bucket spinning relative to the experimenter. this concave shape shows that the water is rotating, despite...
https://en.wikipedia.org/wiki/Bucket%20argument
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and a minimum of 19 wins each season. however, 1993 would be knight's last conference championship and 1994 would be his last trip to the sweet sixteen. dismissal from indiana on march 14, 2000 ( just before indiana was to begin play in the ncaa tournament ), the cnn sports illustrated network ran a piece on robert abb...
https://en.wikipedia.org/wiki/Bob%20Knight
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fired from indiana university, jeremy schaap of espn interviewed him and discussed his time at indiana. towards the end of the interview, knight talked about his son, pat, who had also been dismissed by the university, wanting an opportunity to be a head coach. schaap, thinking that knight was finished, attempted to mo...
https://en.wikipedia.org/wiki/Bob%20Knight
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a " pervasive frat boy workplace culture " at blizzard that included objectification of women's bodies and jokes about rape. activision blizzard's statement described the suit as meritless, contending that action had been taken in any instances of misconduct. the company also objected to the dfeh not approaching them p...
https://en.wikipedia.org/wiki/Blizzard%20Entertainment
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stated that " the overwatch 2 team at blizzard has also had a chance to experiment with the tool, with equally enthusiastic first impressions. " blizzard shared the intent to release the tool during the summer and fall of 2022, with the goal of " making the tool available to the industry as a whole ". the tool received...
https://en.wikipedia.org/wiki/Blizzard%20Entertainment
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bayesian probability ( or ) is an interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief. the bayesian interpretation of probability ca...
https://en.wikipedia.org/wiki/Bayesian%20probability
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##ist probability of a hypothesis is either 0 or 1, in bayesian statistics, the probability that can be assigned to a hypothesis can also be in a range from 0 to 1 if the truth value is uncertain. objective and subjective bayesian probabilities broadly speaking, there are two interpretations of bayesian probability. fo...
https://en.wikipedia.org/wiki/Bayesian%20probability
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subjective currents in bayesian practice. harold jeffreys'theory of probability ( first published in 1939 ) played an important role in the revival of the bayesian view of probability, followed by works by abraham wald ( 1950 ) and leonard j. savage ( 1954 ). the adjective bayesian itself dates to the 1950s ; the deriv...
https://en.wikipedia.org/wiki/Bayesian%20probability
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. a clever bookmaker makes a dutch book by setting the odds and bets to ensure that the bookmaker profits β€” at the expense of the gamblers β€” regardless of the outcome of the event ( a horse race, for example ) on which the gamblers bet. it is associated with probabilities implied by the odds not being coherent. however...
https://en.wikipedia.org/wiki/Bayesian%20probability
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##atization of subjective probability and utility, a task left uncompleted by von neumann and oskar morgenstern : their original theory supposed that all the agents had the same probability distribution, as a convenience. pfanzagl's axiomatization was endorsed by oskar morgenstern : " von neumann and i have anticipated...
https://en.wikipedia.org/wiki/Bayesian%20probability
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##bilities are problematic for science and for some applications where decision - makers lack the knowledge or time to specify an informed probability - distribution ( on which they are prepared to act ). to meet the needs of science and of human limitations, bayesian statisticians have developed " objective " methods ...
https://en.wikipedia.org/wiki/Bayesian%20probability
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##istemology bertrand paradox β€” a paradox in classical probability credal network credence ( statistics ) de finetti's game β€” a procedure for evaluating someone's subjective probability evidence under bayes'theorem monty hall problem qbism β€” an interpretation of quantum mechanics based on subjective bayesian probabilit...
https://en.wikipedia.org/wiki/Bayesian%20probability
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of television, he tailored the game's rules to strengthen its appeal to mass media and enforced a policy of blacking out local broadcasts of home contests to safeguard ticket receipts. amid criticism from franchise owners and under pressure from congress, he unilaterally recognized the nflpa and facilitated in the deve...
https://en.wikipedia.org/wiki/Bert%20Bell
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most to promote athletics in the school.'" although he excelled at baseball, his devotion was to football. his father, who was named a trustee at penn in 1911, said of bell's plans for college, " bert will go to penn or he will go to hell. " university of pennsylvania ( 1914 – 1919 ) bell entered the university of penn...
https://en.wikipedia.org/wiki/Bert%20Bell
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on the publicity of the residual aafc – nfl rivalry, he utilized " exquisite dramatic " and business sense and allocated the 1950 opening game to a contest between the 1949 champion eagles versus the perennial aafc champion browns. feeling financially secure after the merger, he purchased his first home for himself and...
https://en.wikipedia.org/wiki/Bert%20Bell
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robert quinlan costas ( born march 22, 1952 ) is an american sportscaster who is known for his long tenure with nbc sports, from 1980 through 2019. he has received 28 emmy awards for his work and was the prime - time host of 12 olympic games from 1988 until 2016. he is currently employed by warner bros. discovery sport...
https://en.wikipedia.org/wiki/Bob%20Costas
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like a 14 - year - old. for many years, costas hosted nbc's national football league coverage and nba coverage. he also did play - by - play for national basketball association and major league baseball coverage. with the introduction of the nbc sports network, costas also became the host of the new monthly interview p...
https://en.wikipedia.org/wiki/Bob%20Costas
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not get a shot at doing play - by - play ( as the games on nbc were previously called by vin scully ) for an all - star game until 1994 and a world series until 1995 ( when nbc split the coverage with abc under " the baseball network " umbrella ), when nbc regained major league baseball rights after a four - year hiatu...
https://en.wikipedia.org/wiki/Bob%20Costas
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##s was paired with isiah thomas and doug collins on nbc's nba telecast. following the 2000 nba finals, he was replaced by marv albert as the lead play - by - play announcer, who incidentally, the man he directly replaced on the nba on nbc in the first place. costas had previously presided as host of the network's pre ...
https://en.wikipedia.org/wiki/Bob%20Costas
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role at nbc sports similar to that of tom brokaw, being an occasional special correspondent to the division. he explained that his decision " opens up more time to do the things that i feel i'm most connected to ; there will still be events, features, and interviews where i can make a significant contribution at nbc, b...
https://en.wikipedia.org/wiki/Bob%20Costas
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in st. louis and wishing to lighten his workload in order to spend more time with his family. he also turned down an offer from david letterman, who moved to cbs in 1995, to follow him there and become the first host of the late late show, which was being developed by letterman's company to air at 12 : 30 after the lat...
https://en.wikipedia.org/wiki/Bob%20Costas
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network in february 2009. on april 23, 2021, it was announced that costas would be returning to hbo to host a quarter - yearly interview show called back on the record. mlb network at the channel's launch on january 1, 2009, costas hosted the premiere episode of all time games, a presentation of the recently discovered...
https://en.wikipedia.org/wiki/Bob%20Costas
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during the regular season. he was the studio host for tbs's alcs postseason coverage and also provided play - by - play for tbs's alds postseason coverage between the cleveland guardians and new york yankees. this marked the first time since the 2000 alcs on nbc that costas would provide play - by - play for a postseas...
https://en.wikipedia.org/wiki/Bob%20Costas
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other conservative media commentators, including bill o'reilly and bernard goldberg, defended costas's remarks as factually correct and pointed out that costas had also voiced considerable criticism of both russia and putin while broadcasting from sochi. during an interview on fox news, goldberg said "... the idea that...
https://en.wikipedia.org/wiki/Bob%20Costas
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the lines that the comments were indeed the basis of his removal, ultimately resulting in his departure from the network after forty years. personal life costas was married from 1983 to 2001 to carole " randy " randall krummenacher. they had two children, son keith ( born 1986 ) and daughter taylor ( born 1989 ). costa...
https://en.wikipedia.org/wiki/Bob%20Costas
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notre dame football on nbc alternate play - by - play 1994 – 2000 : mlb on nbc lead play - by - play 1997 – 2000 : nba on nbc lead play - by - play 2001 – 2018 : thoroughbred racing on nbc lead host 2001 – 2009 : on the record with bob costas and costas now host 2002 – 2014 : winter olympics primetime host 2002 – 2008 ...
https://en.wikipedia.org/wiki/Bob%20Costas
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building, lived there for a while. the next owner, anton von greifenstein, in 1818 founded an association to preserve the castle. this society still maintains the entire property today. the altenburg today houses a restaurant. other sights other churches are the, an 11th - century romanesque basilica ; the ; the or ( 1...
https://en.wikipedia.org/wiki/Bamberg
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through bamberg. east - west connections are poorer. bamberg is connected to other towns in eastern upper franconia such as bayreuth, coburg, and kronach via the bamberg – hof line with trains usually running at least every hour. connections on the wurzburg – bamberg line to the west are hourly regional trains to wurzb...
https://en.wikipedia.org/wiki/Bamberg
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pattern, with a parallel strand on one side and an antiparallel strand on the other. such arrangements are less common than a random distribution of orientations would suggest, suggesting that this pattern is less stable than the anti - parallel arrangement, however bioinformatic analysis always struggles with extracti...
https://en.wikipedia.org/wiki/Beta%20sheet
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strand interactions and hydrophobic interactions present in the turn regions connecting individual strands. psi - loop motif the psi - loop ( ψ - loop ) motif consists of two antiparallel strands with one strand in between that is connected to both by hydrogen bonds. there are four possible strand topologies for single...
https://en.wikipedia.org/wiki/Beta%20sheet
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this method was 110 years old. the maximum age of a pygmy blue whale determined this way is 73 years. in addition, female blue whales develop scars or corpora albicantia on their ovaries every time they ovulate. in a female pygmy blue whale, one corpus albicans is formed on average every 2. 6 years. behaviour and ecolo...
https://en.wikipedia.org/wiki/Blue%20whale
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in mathematics, bezout's identity ( also called bezout's lemma ), named after etienne bezout who proved it for polynomials, is the following theorem : here the greatest common divisor of and is taken to be. the integers and are called bezout coefficients for ; they are not unique. a pair of bezout coefficients can be c...
https://en.wikipedia.org/wiki/B%C3%A9zout%27s%20identity
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not exist any integer - coefficient polynomials p and q satisfying. however, bezout's identity works for univariate polynomials over a field exactly in the same ways as for integers. in particular the bezout's coefficients and the greatest common divisor may be computed with the extended euclidean algorithm. as the com...
https://en.wikipedia.org/wiki/B%C3%A9zout%27s%20identity
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. new ventures bicycles the next year, 1880, bsa branched out into bicycle manufacture. the gun factory proved remarkably adaptable to the manufacture of cycle parts. what cycles needed was large quantities of standard parts accurately machined at low prices. in 1880 bsa manufactured the otto dicycle, in the 1880s the ...
https://en.wikipedia.org/wiki/Birmingham%20Small%20Arms%20Company
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general meeting where the decision of the board was upheld. another significant departure for the fortune of the bsa group but less controversial was the retirement on ill health grounds of james leek cbe, managing director from 1939 until his retirement. sir bernard docker was replaced as chairman of the bsa board by ...
https://en.wikipedia.org/wiki/Birmingham%20Small%20Arms%20Company
[ 0.010012869723141193, -0.0007733915699645877, 0.04354285076260567, -0.0003497386060189456, -0.009710540995001793, 0.003600901458412409, -0.012640515342354774, -0.011012929491698742, 0.012715574353933334, -0.005493727046996355, 0.004352967254817486, 0.01617422141134739, -0.023548351600766182,...
were purchased by bsa company. rights to the guns brand were acquired by gamo for its new subsidiary, bsa guns ( uk ) limited. see also list of modern armament manufacturers notes references external links bsa history from the days of the crimea ( 1918 ) catalogue of the bsa archives, held at the modern records centre,...
https://en.wikipedia.org/wiki/Birmingham%20Small%20Arms%20Company
[ 0.037938568741083145, -0.022946706041693687, 0.007874146103858948, 0.032335638999938965, -0.025194259360432625, 0.00850763265043497, -0.004779345355927944, 0.004078818950802088, 0.025877488777041435, -0.02518749237060547, -0.01234571821987629, 0.025641974061727524, -0.017532410100102425, -...
##oulli above contains an error at the last term ; it should be instead of. definitions many characterizations of the bernoulli numbers have been found in the last 300 years, and each could be used to introduce these numbers. here only four of the most useful ones are mentioned : a recursive equation, an explicit formu...
https://en.wikipedia.org/wiki/Bernoulli%20number
[ 0.007443420588970184, 0.014630286954343319, 0.031856805086135864, -0.022848080843687057, 0.003878967836499214, -0.039443016052246094, 0.030065013095736504, 0.04613743722438812, 0.002592373639345169, 0.07661597430706024, 0.029633883386850357, 0.010298210196197033, 0.0034034843556582928, 0.0...
whether is an irregular prime. it is not feasible to carry out such a computation using the above recursive formulae, since at least ( a constant multiple of ) arithmetic operations would be required. fortunately, faster methods have been developed which require only operations ( see big notation ). david harvey descri...
https://en.wikipedia.org/wiki/Bernoulli%20number
[ 0.00020615018729586154, -0.013855901546776295, 0.01842634566128254, -0.01809978112578392, 0.0023377423640340567, 0.007056724280118942, 0.03191749006509781, 0.022239919751882553, 0.0110769746825099, 0.05764879286289215, 0.035509999841451645, -0.03778262436389923, 0.022304173558950424, -0.03...
d. harvey | | 2008 | | | | | } * digits is to be understood as the exponent of 10 when is written as a real number in normalized scientific notation. a possible algorithm for computing bernoulli numbers in the julia programming language is given by b = array { float64 } ( undef, n + 1 ) b [ 1 ] = 1 b [ 2 ] = - 0. 5 for...
https://en.wikipedia.org/wiki/Bernoulli%20number
[ -0.01236781571060419, 0.00006549664976773784, 0.045564599335193634, 0.0029709443915635347, 0.0034432471729815006, 0.00031911462428979576, 0.012193791568279266, 0.024206742644309998, -0.017175786197185516, 0.07165374606847763, 0.05034276470541954, 0.0053618592210114, -0.017959514632821083, ...
| -! 3 | βˆ’ | | βˆ’ | |... | |... | |... | -! 4 | 0 | |... | |... | |... | |... | } see and. ( ) / ( ) are the second ( fractional ) euler numbers and an autosequence of the second kind. ( = ) Γ— ( = ) = =. also valuable for / ( see connection with worpitzky numbers ). connection with pascal's triangle there are formulas c...
https://en.wikipedia.org/wiki/Bernoulli%20number
[ -0.017899582162499428, 0.006184871774166822, 0.029179677367210388, -0.016124259680509567, 0.015454046428203583, -0.001034599612466991, 0.028004202991724014, -0.008746486157178879, -0.019438080489635468, 0.07140996307134628, 0.04788591340184212, -0.007489212788641453, 0.008841524831950665, ...
##ous algorithm, which makes it simple to calculate. start by putting 1 in row 0 and let denote the number of the row currently being filled if is odd, then put the number on the left end of the row in the first position of the row, and fill the row from the left to the right, with every entry being the sum of the numb...
https://en.wikipedia.org/wiki/Bernoulli%20number
[ 0.01970832608640194, 0.030417373403906822, 0.019779279828071594, -0.00198000087402761, -0.007998980581760406, -0.03610396757721901, -0.023146163672208786, 0.005836470052599907, 0.0009444105671718717, 0.06385590136051178, 0.032432861626148224, -0.028867756947875023, 0.02611735835671425, -0....
, like for instance /. hence the array : { | style = " text - align : right " | - | 2 | | 1 | | βˆ’1 | | βˆ’2 | | 5 | | 16 | | βˆ’61 | - | βˆ’1 | | βˆ’2 | | βˆ’1 | | 7 | | 11 | | βˆ’77 | - | βˆ’1 | | 1 | | 8 | | 4 | | βˆ’88 | - | 2 | | 7 | | βˆ’4 | | βˆ’92 | - | 5 | | βˆ’11 | | βˆ’88 | - | βˆ’16 | | βˆ’77 | - | βˆ’61 | } the main diagonal, here, is t...
https://en.wikipedia.org/wiki/Bernoulli%20number
[ -0.02118767984211445, 0.026218732818961143, 0.03529033809900284, -0.017719313502311707, -0.03775746747851372, -0.02790786884725094, -0.012419076636433601, 0.029659375548362732, 0.026012150570750237, 0.07931781560182571, 0.04477822408080101, 0.018085816875100136, 0.005259837955236435, -0.03...
proved that the rh is equivalent to the following assertion : for every there exists a constant ( depending on ) such that as. here is the riesz function denotes the rising factorial power in the notation of d. e. knuth. the numbers occur frequently in the study of the zeta function and are significant because is a - i...
https://en.wikipedia.org/wiki/Bernoulli%20number
[ -0.02261357381939888, 0.013933952897787094, 0.017533376812934875, -0.024178046733140945, 0.0011972857173532248, -0.010637904517352581, 0.04792485013604164, 0.019744228571653366, -0.040063127875328064, 0.0880211740732193, 0.04118097200989723, 0.03786403685808182, 0.02164847031235695, -0.022...
##s number theory topology integer sequences
https://en.wikipedia.org/wiki/Bernoulli%20number
[ 0.009575179778039455, 0.020849747583270073, 0.008472430519759655, -0.017141448333859444, 0.02501845546066761, -0.007443792186677456, -0.015095172449946404, 0.008910748176276684, -0.010204232297837734, 0.08068238198757172, 0.03449211269617081, 0.0024125310592353344, 0.021485349163413048, -0...
horror from locals. ballarat was proclaimed a city in 1871. gong gong dam was built in 1877 to alleviate flooding and to provide a permanent water supply. a direct railway to melbourne was completed in december 1889. many industries and workshops had been established as a result of manufacturing and servicing for the d...
https://en.wikipedia.org/wiki/Ballarat
[ -0.01613820344209671, 0.02625831589102745, -0.007265531923621893, -0.0013205255381762981, -0.027905218303203583, -0.03466028720140457, -0.010926895774900913, 0.0055505395866930485, 0.03284275531768799, 0.002337746787816286, 0.004066765308380127, -0.03210951015353203, 0.0072013079188764095, ...
winter days to have a far below zero wind chill. ballarat's highest maximum recorded temperature was on 7 february 2009 during the 2009 southeastern australia heat wave. the lowest recorded minimum was on 21 july 1982. environment natural reserves and commons while there are no national parks in ballarat's proximity, b...
https://en.wikipedia.org/wiki/Ballarat
[ -0.018459154292941093, 0.050850801169872284, -0.017086267471313477, 0.017034882679581642, 0.020635424181818962, -0.006896143779158592, -0.0072505297139286995, 0.03715565800666809, 0.0007023303769528866, 0.05147910863161087, 0.03312598168849945, -0.0075378017500042915, 0.055272176861763, -0...
formed in 1993 to provide a voice for environmental and nature conservation issues in ballarat and its surroundings. another large lobby group for sustainability in the city is the ballarat renewable energy and zero emissions ( breaze ) formed in 2006. the city of ballarat released an environment sustainability strateg...
https://en.wikipedia.org/wiki/Ballarat
[ -0.029445284977555275, 0.027619974687695503, -0.014664885587990284, 0.020525045692920685, 0.0018464658642187715, 0.0017017052741721272, -0.012441343627870083, 0.01880481094121933, 0.01195619348436594, 0.015884941443800926, 0.02490384690463543, -0.012342013418674469, 0.026479294523596764, -...
1850s gold mining settlement opened in 1970. sovereign hill is ballarat's biggest tourism drawcard and is consistently rated among the best outdoor museums in the world and continues to expand. sovereign hill accounts for over half a million of ballarat's visitors and $ 40 million in tourism revenue. several businesses...
https://en.wikipedia.org/wiki/Ballarat
[ 0.02267882041633129, 0.01981649361550808, -0.0288659930229187, 0.011590342037379742, 0.0036963997408747673, 0.009007329121232033, 0.004269517492502928, 0.03350631147623062, 0.007257743272930384, -0.019649986177682877, 0.044921353459358215, 0.0007745056063868105, 0.01916191540658474, -0.036...
has supplied local food manufacturers including mccain, though more recently has been threatened by cheaper imports. other large crops include grains, vegetables, grapes and berries. cattle and poultry stocks, including sheep, cows and pigs, support an active local meat and dairy industry. the ballarat livestock sellin...
https://en.wikipedia.org/wiki/Ballarat
[ -0.03016175888478756, 0.05598371848464012, -0.030893487855792046, 0.008632420562207699, -0.014393354766070843, 0.005350208375602961, -0.015313712880015373, 0.05006060376763344, 0.014353093691170216, 0.03683992475271225, 0.024872520938515663, -0.017046945169568062, 0.023877829313278198, -0....
courts complex adjacent police headquarters in dana street. corrections, at least in the longer term are no longer handled locally since the closure of the ballarat gaol in 1965. offenders can be detained in 25 available cells at the police complex though are commonly transferred to nearby corrections victoria faciliti...
https://en.wikipedia.org/wiki/Ballarat
[ 0.006093671079725027, 0.026784952729940414, -0.03763528913259506, 0.02774720825254917, 0.004253383260220289, -0.000405454688007012, -0.033235568553209305, 0.007742637302726507, -0.008355333469808102, 0.01896073669195175, 0.05763191357254982, -0.03078233078122139, 0.028828227892518044, -0.0...
– 3ba ( local " classic hits " commercial radio station ) 103. 1 fm – power fm 103. 1 fm ( local " top - 40 " commercial radio station ) 99. 9 fm – voice fm 99. 9 – formerly known as 3bbb ( local community radio station ) 107. 9 fm – abc ballarat ( government - funded local news, current affairs, light entertainment an...
https://en.wikipedia.org/wiki/Ballarat
[ 0.0341390036046505, 0.06854534894227982, -0.007818702608346939, 0.008898002095520496, 0.012590874917805195, -0.01632983796298504, 0.0010261479765176773, 0.01024840772151947, 0.010538389906287193, 0.00397057319059968, 0.048008888959884644, -0.022000640630722046, 0.026073221117258072, -0.031...
1867 located at leigh creek, victoria with a capacity of ). sewage is managed by two plants β€” the ballarat north wastewater treatment plant and the ballarat south waste water treatment plant. residential electricity is supplied by victorian electricity distributor powercor, while residential natural gas is supplied by ...
https://en.wikipedia.org/wiki/Ballarat
[ -0.01851610653102398, 0.0016086195828393102, -0.031009018421173096, 0.020392198115587234, 0.012412084266543388, -0.0009985144715756178, -0.011300158686935902, -0.014009985141456127, 0.045434094965457916, 0.049452438950538635, 0.03172457218170166, 0.01018886361271143, 0.04140843451023102, 0...
a major rail transport hub in victoria. situated at the junction of the ballarat line, ararat line and mildura lines, it currently has several connections for both passenger rail services and freight rail. the city has two passenger railway stations, the hub of ballarat railway station and suburban wendouree railway st...
https://en.wikipedia.org/wiki/Ballarat
[ -0.014116659760475159, 0.010319937951862812, -0.02951425313949585, 0.012225382961332798, 0.04350403696298599, -0.017863720655441284, -0.02352745272219181, -0.0080551253631711, -0.004226863384246826, 0.03235064446926117, 0.04485264793038368, -0.02040635049343109, 0.00675513781607151, -0.040...
the brezhnev doctrine was a soviet foreign policy that proclaimed that any threat to " socialist rule " in any state of the soviet bloc in central and eastern europe was a threat to all of them, and therefore, it justified the intervention of fellow socialist states. it was proclaimed in order to justify the soviet - l...
https://en.wikipedia.org/wiki/Brezhnev%20Doctrine
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disturb a ruling communist party's monopoly on power. implicit in this doctrine was that the leadership of the soviet union reserved, for itself, the power to define " socialism " and " capitalism ". following the announcement of the brezhnev doctrine, numerous treaties were signed between the soviet union and its sate...
https://en.wikipedia.org/wiki/Brezhnev%20Doctrine
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or 1983, despite piquet's success. patrese was the only driver other than piquet to win a race for brabham in this period β€” the drivers in the second car contributed only a fraction of the team's points in each of these championship seasons. patrese finished ninth in the drivers'championship with 13 points, dropping th...
https://en.wikipedia.org/wiki/Brabham
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brabham 1961 – 1972, including significant race results and production numbers for all models. ( archived here ). www. oldracingcars. com complete race history of all brabham f1 models from 1966 to 1982 and links to brabham research projects on other models. www. f3history. co. uk history of formula three, including br...
https://en.wikipedia.org/wiki/Brabham
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were wiped out on 8 december 1941 when they were caught on the ground during refueling and rearming for a planned attack on japanese airfields on formosa. the small force of b - 17s operated against the japanese invasion force until they were withdrawn to darwin, in australia's northern territory. in early 1942, the 7t...
https://en.wikipedia.org/wiki/Boeing%20B-17%20Flying%20Fortress
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the sb - 17 served through the korean war, remaining in service with usaf until the mid - 1950s. in 1946, surplus b - 17s were chosen as drone aircraft for atmospheric sampling during the operation crossroads atomic bomb tests, being able to fly close to or even through the mushroom clouds without endangering a crew. t...
https://en.wikipedia.org/wiki/Boeing%20B-17%20Flying%20Fortress
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ab / tu ) c32 ( c32 ) cologne ( koln ) darjeeling ( dar ) ekkwill ( ekw ) hk / ab ( hk / ab ) hk / sing ( hk / sing ) hong kong ( hk ) india ( ind ) indonesia ( indo ) nadia ( na ) riken wt ( rw ) singapore ( sing ) sja ( sja ) sjd ( sjd ) sjd / c32 ( sjd / c32 ) tuebingen ( tu ) tupfel long fin ( tl ) tupfel long fin ...
https://en.wikipedia.org/wiki/Zebrafish
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##fish have also been found to regenerate photoreceptor cells and retinal neurons following injury, which has been shown to be mediated by the dedifferentiation and proliferation of muller glia. researchers frequently amputate the dorsal and ventral tail fins and analyze their regrowth to test for mutations. it has bee...
https://en.wikipedia.org/wiki/Zebrafish
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- nucleotide polymorphisms and microsatellite analysis. gene expression due to their fast and short life cycles and relatively large clutch sizes, d. rerio or zebrafish are a useful model for genetic studies. a common reverse genetics technique is to reduce gene expression or modify splicing using morpholino antisense ...
https://en.wikipedia.org/wiki/Zebrafish
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genome page. the zebrafish reference genome sequence is annotated as part of the ensembl project, and is maintained by the genome reference consortium. in 2009, researchers at the institute of genomics and integrative biology in delhi, india, announced the sequencing of the genome of a wild zebrafish strain, containing...
https://en.wikipedia.org/wiki/Zebrafish
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human disease, but also to develop novel therapeutic agents in drug discovery programmes. zebrafish embryos have proven to be a rapid, cost - efficient, and reliable teratology assay model. drug screens drug screens in zebrafish can be used to identify novel classes of compounds with biological effects, or to repurpose...
https://en.wikipedia.org/wiki/Zebrafish
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society ( izfs ) european society for fish models in biology and medicine ( eufishbiomed ) the zebrafish information network ( zfin ) the zebrafish international resource center ( zirc ) the european zebrafish resource center ( ezrc ) the china zebrafish resource center ( czrc ) the zebrafish genome sequencing project ...
https://en.wikipedia.org/wiki/Zebrafish
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in a dynamical system, bistability means the system has two stable equilibrium states. a bistable structure can be resting in either of two states. an example of a mechanical device which is bistable is a light switch. the switch lever is designed to rest in the " on " or " off " position, but not between the two. bist...
https://en.wikipedia.org/wiki/Bistability
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