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Traditionally, Cephalochordata and Craniata were grouped into the proposed clade "Euchordata", which would have been the sister group to Tunicata/Urochordata. More recently, Cephalochordata has been thought of as a sister group to the "Olfactores", which includes the craniates and tunicates. The matter is not yet settled.
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A specific relationship between Vertebrates and Tunicates is also strongly supported by two CSIs found in the proteins predicted exosome complex RRP44 and serine palmitoyltransferase, that are exclusively shared by species from these two subphyla but not Cephalochordates, indicating Vertebrates are more closely related to Tunicates than Cephalochordates.
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Phylogenetic tree of the chordate phylum. Lines of the cladogram show probable evolutionary relationships between both extinct taxa, which are denoted with a dagger (†), and extant taxa. Relatives of vertebrates are invertebrates. The positions (relationships) of the lancelets, tunicates, and craniates/vertebrates are based on the following studies:
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The closest relatives of the Chordates are the Hemichordates and Echinodermata, which together form the Ambulacraria.
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Hemichordates ("half chordates") have some features similar to those of chordates: branchial openings that open into the pharynx and look rather like gill slits; stomochords, similar in composition to notochords, but running in a circle round the "collar", which is ahead of the mouth; and a dorsal nerve cord—but also a smaller ventral nerve cord.
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There are two living groups of hemichordates. The solitary enteropneusts, commonly known as "acorn worms", have long proboscises and worm-like bodies with up to 200 branchial slits, are up to long, and burrow though seafloor sediments. Pterobranchs are colonial animals, often less than long individually, whose dwellings are interconnected. Each filter feeds by means of a pair of branched tentacles, and has a short, shield-shaped proboscis. The extinct graptolites, colonial animals whose fossils look like tiny hacksaw blades, lived in tubes similar to those of pterobranchs.
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Echinoderms differ from chordates and their other relatives in three conspicuous ways: they possess bilateral symmetry only as larvae – in adulthood they have radial symmetry, meaning that their body pattern is shaped like a wheel; they have tube feet; and their bodies are supported by skeletons made of calcite, a material not used by chordates. Their hard, calcified shells keep their bodies well protected from the environment, and these skeletons enclose their bodies, but are also covered by thin skins. The feet are powered by another unique feature of echinoderms, a water vascular system of canals that also functions as a "lung" and surrounded by muscles that act as pumps. Crinoids look rather like flowers, and use their feather-like arms to filter food particles out of the water; most live anchored to rocks, but a few can move very slowly. Other echinoderms are mobile and take a variety of body shapes, for example starfish, sea urchins and sea cucumbers.
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Although the name Chordata is attributed to William Bateson (1885), it was already in prevalent use by 1880. Ernst Haeckel described a taxon comprising tunicates, cephalochordates, and vertebrates in 1866. Though he used the German vernacular form, it is allowed under the ICZN code because of its subsequent latinization.
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An electronic calculator is typically a portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics.
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The first solid-state electronic calculator was created in the early 1960s. Pocket-sized devices became available in the 1970s, especially after the Intel 4004, the first microprocessor, was developed by Intel for the Japanese calculator company Busicom.
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Modern electronic calculators vary from cheap, give-away, credit-card-sized models to sturdy desktop models with built-in printers. They became popular in the mid-1970s as the incorporation of integrated circuits reduced their size and cost. By the end of that decade, prices had dropped to the point where a basic calculator was affordable to most and they became common in schools.
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Computer operating systems as far back as early Unix have included interactive calculator programs such as dc and hoc, and interactive BASIC could be used to do calculations on most 1970s and 1980s home computers. Calculator functions are included in most personal digital assistant (PDA) type devices.
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In addition to general purpose calculators, there are those designed for specific markets. For example, there are scientific calculators which include trigonometric and statistical calculations. Some calculators even have the ability to do computer algebra. Graphing calculators can be used to graph functions defined on the real line, or higher-dimensional Euclidean space. , basic calculators cost little, but scientific and graphing models tend to cost more.
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With the very wide availability of smartphones, tablet computers and personal computers, dedicated hardware calculators, while still widely used, are less common than they once were. In 1986, calculators still represented an estimated 41% of the world's general-purpose hardware capacity to compute information. By 2007, this had diminished to less than 0.05%.
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Electronic calculators contain a keyboard with buttons for digits and arithmetical operations; some even contain "00" and "000" buttons to make larger or smaller numbers easier to enter. Most basic calculators assign only one digit or operation on each button; however, in more specific calculators, a button can perform multi-function working with key combinations.
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Calculators usually have liquid-crystal displays (LCD) as output in place of historical light-emitting diode (LED) displays and vacuum fluorescent displays (VFD); details are provided in the section "Technical improvements".
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Large-sized figures are often used to improve readability; while using decimal separator (usually a point rather than a comma) instead of or in addition to vulgar fractions. Various symbols for function commands may also be shown on the display. Fractions such as are displayed as decimal approximations, for example rounded to . Also, some fractions (such as , which is ; to 14 significant figures) can be difficult to recognize in decimal form; as a result, many scientific calculators are able to work in vulgar fractions or mixed numbers.
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Calculators also have the ability to store numbers into computer memory. Basic calculators usually store only one number at a time; more specific types are able to store many numbers represented in variables. The variables can also be used for constructing formulas. Some models have the ability to extend memory capacity to store more numbers; the extended memory address is termed an array index.
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Power sources of calculators are batteries, solar cells or mains electricity (for old models), turning on with a switch or button. Some models even have no turn-off button but they provide some way to put off (for example, leaving no operation for a moment, covering solar cell exposure, or closing their lid). Crank-powered calculators were also common in the early computer era.
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The following keys are common to most pocket calculators. While the arrangement of the digits is standard, the positions of other keys vary from model to model; the illustration is an example.
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Clock rate of a processor chip refers to the frequency at which the central processing unit (CPU) is running. It is used as an indicator of the processor's speed, and is measured in "clock cycles per second" or hertz (Hz). For basic calculators, the speed can vary from a few hundred hertz to the kilohertz range.
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Most pocket calculators do all their calculations in binary-coded decimal (BCD) rather than binary. BCD is common in electronic systems where a numeric value is to be displayed, especially in systems consisting solely of digital logic, and not containing a microprocessor. By employing BCD, the manipulation of numerical data for display can be greatly simplified by treating each digit as a separate single sub-circuit. This matches much more closely the physical reality of display hardware—a designer might choose to use a series of separate identical seven-segment displays to build a metering circuit, for example. If the numeric quantity were stored and manipulated as pure binary, interfacing to such a display would require complex circuitry. Therefore, in cases where the calculations are relatively simple, working throughout with BCD can lead to a simpler overall system than converting to and from binary. (For example, CDs keep the track number in BCD, limiting them to 99 tracks.)
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The same argument applies when hardware of this type uses an embedded microcontroller or other small processor. Often, smaller code results when representing numbers internally in BCD format, since a conversion from or to binary representation can be expensive on such limited processors. For these applications, some small processors feature BCD arithmetic modes, which assist when writing routines that manipulate BCD quantities.
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Where calculators have added functions (such as square root, or trigonometric functions), software algorithms are required to produce high precision results. Sometimes significant design effort is needed to fit all the desired functions in the limited memory space available in the calculator chip, with acceptable calculation time.
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The fundamental difference between a calculator and computer is that a computer can be programmed in a way that allows the program to take different branches according to intermediate results, while calculators are pre-designed with specific functions (such as addition, multiplication, and logarithms) built in. The distinction is not clear-cut: some devices classed as programmable calculators have programming functions, sometimes with support for programming languages (such as RPL or TI-BASIC).
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For instance, instead of a hardware multiplier, a calculator might implement floating point mathematics with code in read-only memory (ROM), and compute trigonometric functions with the CORDIC algorithm because CORDIC does not require much multiplication. Bit serial logic designs are more common in calculators whereas bit parallel designs dominate general-purpose computers, because a bit serial design minimizes chip complexity, but takes many more clock cycles. This distinction blurs with high-end calculators, which use processor chips associated with computer and embedded systems design, more so the Z80, MC68000, and ARM architectures, and some custom designs specialized for the calculator market.
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The first known tools used to aid arithmetic calculations were: bones (used to tally items), pebbles, and counting boards, and the abacus, known to have been used by Sumerians and Egyptians before 2000 BC. Except for the Antikythera mechanism (an "out of the time" astronomical device), development of computing tools arrived near the start of the 17th century: the geometric-military compass (by Galileo), logarithms and Napier bones (by Napier), and the slide rule (by Edmund Gunter).
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In 1642, the Renaissance saw the invention of the mechanical calculator (by Wilhelm Schickard and several decades later Blaise Pascal), a device that was at times somewhat over-promoted as being able to perform all four arithmetic operations with minimal human intervention. Pascal's calculator could add and subtract two numbers directly and thus, if the tedium could be borne, multiply and divide by repetition. Schickard's machine, constructed several decades earlier, used a clever set of mechanised multiplication tables to ease the process of multiplication and division with the adding machine as a means of completing this operation. There is a debate about whether Pascal or Shickard should be credited as the known inventor of a calculating machine due to the differences (like the different aims) of both inventions. Schickard and Pascal were followed by Gottfried Leibniz who spent forty years designing a four-operation mechanical calculator, the stepped reckoner, inventing in the process his leibniz wheel, but who couldn't design a fully operational machine. There were also five unsuccessful attempts to design a calculating clock in the 17th century.
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The 18th century saw the arrival of some notable improvements, first by Poleni with the first fully functional calculating clock and four-operation machine, but these machines were almost always "one of a kind". Luigi Torchi invented the first direct multiplication machine in 1834: this was also the second key-driven machine in the world, following that of James White (1822). It was not until the 19th century and the Industrial Revolution that real developments began to occur. Although machines capable of performing all four arithmetic functions existed prior to the 19th century, the refinement of manufacturing and fabrication processes during the eve of the industrial revolution made large scale production of more compact and modern units possible. The Arithmometer, invented in 1820 as a four-operation mechanical calculator, was released to production in 1851 as an adding machine and became the first commercially successful unit; forty years later, by 1890, about 2,500 arithmometers had been sold plus a few hundreds more from two arithmometer clone makers (Burkhardt, Germany, 1878 and Layton, UK, 1883) and Felt and Tarrant, the only other competitor in true commercial production, had sold 100 comptometers.
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It wasn't until 1902 that the familiar push-button user interface was developed, with the introduction of the Dalton Adding Machine, developed by James L. Dalton in the United States.
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In 1921, Edith Clarke invented the "Clarke calculator", a simple graph-based calculator for solving line equations involving hyperbolic functions. This allowed electrical engineers to simplify calculations for inductance and capacitance in power transmission lines.
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The Curta calculator was developed in 1948 and, although costly, became popular for its portability. This purely mechanical hand-held device could do addition, subtraction, multiplication and division. By the early 1970s electronic pocket calculators ended manufacture of mechanical calculators, although the Curta remains a popular collectable item.
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The first mainframe computers, using firstly vacuum tubes and later transistors in the logic circuits, appeared in the 1940s and 1950s. This technology was to provide a stepping stone to the development of electronic calculators.
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The Casio Computer Company, in Japan, released the Model "14-A" calculator in 1957, which was the world's first all-electric (relatively) compact calculator. It did not use electronic logic but was based on relay technology, and was built into a desk.
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In October 1961, the world's first "all-electronic desktop" calculator, the British Bell Punch/Sumlock Comptometer ANITA (A New Inspiration To Arithmetic/Accounting) was announced. This machine used vacuum tubes, cold-cathode tubes and Dekatrons in its circuits, with 12 cold-cathode "Nixie" tubes for its display. Two models were displayed, the Mk VII for continental Europe and the Mk VIII for Britain and the rest of the world, both for delivery from early 1962. The Mk VII was a slightly earlier design with a more complicated mode of multiplication, and was soon dropped in favour of the simpler Mark VIII. The ANITA had a full keyboard, similar to mechanical comptometers of the time, a feature that was unique to it and the later Sharp CS-10A among electronic calculators. The ANITA weighed roughly due to its large tube system. Bell Punch had been producing key-driven mechanical calculators of the comptometer type under the names "Plus" and "Sumlock", and had realised in the mid-1950s that the future of calculators lay in electronics. They employed the young graduate Norbert Kitz, who had worked on the early British Pilot ACE computer project, to lead the development. The ANITA sold well since it was the only electronic desktop calculator available, and was silent and quick.
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The tube technology of the ANITA was superseded in June 1963 by the U.S. manufactured Friden EC-130, which had an all-transistor design, a stack of four 13-digit numbers displayed on a cathode ray tube (CRT), and introduced Reverse Polish Notation (RPN) to the calculator market for a price of $2200, which was about three times the cost of an electromechanical calculator of the time. Like Bell Punch, Friden was a manufacturer of mechanical calculators that had decided that the future lay in electronics. In 1964 more all-transistor electronic calculators were introduced: Sharp introduced the CS-10A, which weighed and cost 500,000 yen ($), and Industria Macchine Elettroniche of Italy introduced the IME 84, to which several extra keyboard and display units could be connected so that several people could make use of it (but apparently not at the same time). The Victor 3900 was the first to use integrated circuits in place of individual transistors, but production problems delayed sales until 1966.
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There followed a series of electronic calculator models from these and other manufacturers, including Canon, Mathatronics, Olivetti, SCM (Smith-Corona-Marchant), Sony, Toshiba, and Wang. The early calculators used hundreds of germanium transistors, which were cheaper than silicon transistors, on multiple circuit boards. Display types used were CRT, cold-cathode Nixie tubes, and filament lamps. Memory technology was usually based on the delay-line memory or the magnetic-core memory, though the Toshiba "Toscal" BC-1411 appears to have used an early form of dynamic RAM built from discrete components. Already there was a desire for smaller and less power-hungry machines.
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Bulgaria's ELKA 6521, introduced in 1965, was developed by the Central Institute for Calculation Technologies and built at the Elektronika factory in Sofia. The name derives from "ELektronen KAlkulator", and it weighed around . It is the first calculator in the world which includes the square root function. Later that same year were released the ELKA 22 (with a luminescent display) and the ELKA 25, with an in-built printer. Several other models were developed until the first pocket model, the ELKA 101, was released in 1974. The writing on it was in Roman script, and it was exported to western countries.
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The first desktop "programmable calculators" were produced in the mid-1960s. They included the Mathatronics Mathatron (1964) and the Olivetti Programma 101 (late 1965) which were solid-state, desktop, printing, floating point, algebraic entry, programmable, stored-program electronic calculators. Both could be programmed by the end user and print out their results. The Programma 101 saw much wider distribution and had the added feature of offline storage of programs via magnetic cards.
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Another early programmable desktop calculator (and maybe the first Japanese one) was the Casio (AL-1000) produced in 1967. It featured a nixie tubes display and had transistor electronics and ferrite core memory.
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The "Monroe Epic" programmable calculator came on the market in 1967. A large, printing, desk-top unit, with an attached floor-standing logic tower, it could be programmed to perform many computer-like functions. However, the only "branch" instruction was an implied unconditional branch (GOTO) at the end of the operation stack, returning the program to its starting instruction. Thus, it was not possible to include any conditional branch (IF-THEN-ELSE) logic. During this era, the absence of the conditional branch was sometimes used to distinguish a programmable calculator from a computer.
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The first Soviet programmable desktop calculator ISKRA 123, powered by the power grid, was released at the start of the 1970s.
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The electronic calculators of the mid-1960s were large and heavy desktop machines due to their use of hundreds of transistors on several circuit boards with a large power consumption that required an AC power supply. There were great efforts to put the logic required for a calculator into fewer and fewer integrated circuits (chips) and calculator electronics was one of the leading edges of semiconductor development. U.S. semiconductor manufacturers led the world in large scale integration (LSI) semiconductor development, squeezing more and more functions into individual integrated circuits. This led to alliances between Japanese calculator manufacturers and U.S. semiconductor companies: Canon Inc. with Texas Instruments, Hayakawa Electric (later renamed Sharp Corporation) with North-American Rockwell Microelectronics (later renamed Rockwell International), Busicom with Mostek and Intel, and General Instrument with Sanyo.
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By 1970, a calculator could be made using just a few chips of low power consumption, allowing portable models powered from rechargeable batteries. The first handheld calculator was a 1967 prototype called Cal Tech, whose development was led by Jack Kilby at Texas Instruments in a research project to produce a portable calculator. It could add, multiply, subtract, and divide, and its output device was a paper tape. As a result of the "Cal-Tech" project, Texas Instruments was granted master patents on portable calculators.
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The first commercially produced portable calculators appeared in Japan in 1970, and were soon marketed around the world. These included the Sanyo ICC-0081 "Mini Calculator", the Canon Pocketronic, and the Sharp QT-8B "micro Compet". The Canon Pocketronic was a development from the "Cal-Tech" project. It had no traditional display; numerical output was on thermal paper tape.
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Sharp put in great efforts in size and power reduction and introduced in January 1971 the Sharp EL-8, also marketed as the Facit 1111, which was close to being a pocket calculator. It weighed 1.59 pounds (721 grams), had a vacuum fluorescent display, rechargeable NiCad batteries, and initially sold for US$395.
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However, integrated circuit development efforts culminated in early 1971 with the introduction of the first "calculator on a chip", the MK6010 by Mostek, followed by Texas Instruments later in the year. Although these early hand-held calculators were very costly, these advances in electronics, together with developments in display technology (such as the vacuum fluorescent display, LED, and LCD), led within a few years to the cheap pocket calculator available to all.
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In 1971, Pico Electronics and General Instrument also introduced their first collaboration in ICs, a full single chip calculator IC for the Monroe Royal Digital III calculator. Pico was a spinout by five GI design engineers whose vision was to create single chip calculator ICs. Pico and GI went on to have significant success in the burgeoning handheld calculator market.
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The first truly pocket-sized electronic calculator was the Busicom LE-120A "HANDY", which was marketed early in 1971. Made in Japan, this was also the first calculator to use an LED display, the first hand-held calculator to use a single integrated circuit (then proclaimed as a "calculator on a chip"), the Mostek MK6010, and the first electronic calculator to run off replaceable batteries. Using four AA-size cells the LE-120A measures .
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The first European-made pocket-sized calculator, DB 800 was made in May 1971 by Digitron in Buje, Croatia (former Yugoslavia) with four functions and an eight-digit display and special characters for a negative number and a warning that the calculation has too many digits to display.
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The first American-made pocket-sized calculator, the Bowmar 901B (popularly termed "The Bowmar Brain"), measuring , came out in the Autumn of 1971, with four functions and an eight-digit red LED display, for , while in August 1972 the four-function Sinclair Executive became the first slimline pocket calculator measuring and weighing . It retailed for around £79 ( at the time). By the end of the decade, similar calculators were priced less than £5 ($). Following protracted development over the course of two years including a botched partnership with Texas Instruments, Eldorado Electrodata released five pocket calculators in 1972. One called the Touch Magic was "no bigger than a pack of cigarettes" according to "Administrative Management".
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The first Soviet Union made pocket-sized calculator, the "Elektronika B3-04" was developed by the end of 1973 and sold at the start of 1974.
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One of the first low-cost calculators was the Sinclair Cambridge, launched in August 1973. It retailed for £29.95 ($), or £5 ($) less in kit form. The Sinclair calculators were successful because they were far cheaper than the competition; however, their design led to slow and inaccurate computations of transcendental functions.
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Meanwhile, Hewlett-Packard (HP) had been developing a pocket calculator. Launched in early 1972, it was unlike the other basic four-function pocket calculators then available in that it was the first pocket calculator with "scientific" functions that could replace a slide rule. The $395 HP-35, along with nearly all later HP engineering calculators, uses reverse Polish notation (RPN), also called postfix notation. A calculation like "8 plus 5" is, using RPN, performed by pressing , , , and ; instead of the algebraic infix notation: , , , . It had 35 buttons and was based on Mostek Mk6020 chip.
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In 1973, Texas Instruments (TI) introduced the SR-10, ("SR" signifying slide rule) an "algebraic entry" pocket calculator using scientific notation for $150. Shortly after the SR-11 featured an added key for entering pi (π). It was followed the next year by the SR-50 which added log and trig functions to compete with the HP-35, and in 1977 the mass-marketed TI-30 line which is still produced.
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In 1978, a new company, Calculated Industries arose which focused on specialized markets. Their first calculator, the Loan Arranger (1978) was a pocket calculator marketed to the Real Estate industry with preprogrammed functions to simplify the process of calculating payments and future values. In 1985, CI launched a calculator for the construction industry called the Construction Master which came preprogrammed with common construction calculations (such as angles, stairs, roofing math, pitch, rise, run, and feet-inch fraction conversions). This would be the first in a line of construction related calculators.
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The first programmable pocket calculator was the HP-65, in 1974; it had a capacity of 100 instructions, and could store and retrieve programs with a built-in magnetic card reader. Two years later the HP-25C introduced "continuous memory", i.e., programs and data were retained in CMOS memory during power-off. In 1979, HP released the first "alphanumeric", programmable, "expandable" calculator, the HP-41C. It could be expanded with random-access memory (RAM, for memory) and read-only memory (ROM, for software) modules, and peripherals like bar code readers, microcassette and floppy disk drives, paper-roll thermal printers, and miscellaneous communication interfaces (RS-232, HP-IL, HP-IB).
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The first Soviet pocket battery-powered programmable calculator, Elektronika "B3-21", was developed by the end of 1976 and released at the start of 1977. The successor of B3-21, the Elektronika B3-34 wasn't backward compatible with B3-21, even if it kept the reverse Polish notation (RPN). Thus B3-34 defined a new command set, which later was used in a series of later programmable Soviet calculators. Despite very limited abilities (98 bytes of instruction memory and about 19 stack and addressable registers), people managed to write all kinds of programs for them, including adventure games and libraries of calculus-related functions for engineers. Hundreds, perhaps thousands, of programs were written for these machines, from practical scientific and business software, which were used in real-life offices and labs, to fun games for children. The Elektronika MK-52 calculator (using the extended B3-34 command set, and featuring internal EEPROM memory for storing programs and external interface for EEPROM cards and other periphery) was used in Soviet spacecraft program (for Soyuz TM-7 flight) as a backup of the board computer.
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This series of calculators was also noted for a large number of highly counter-intuitive mysterious undocumented features, somewhat similar to "synthetic programming" of the American HP-41, which were exploited by applying normal arithmetic operations to error messages, jumping to nonexistent addresses and other methods. A number of respected monthly publications, including the popular science magazine "Nauka i Zhizn" ("Наука и жизнь", "Science and Life"), featured special columns, dedicated to optimization methods for calculator programmers and updates on undocumented features for hackers, which grew into a whole esoteric science with many branches, named "yeggogology" ("еггогология"). The error messages on those calculators appear as a Russian word "YEGGOG" ("ЕГГОГ") which, unsurprisingly, is translated to "Error".
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A similar hacker culture in the USA revolved around the HP-41, which was also noted for a large number of undocumented features and was much more powerful than B3-34.
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Through the 1970s the hand-held electronic calculator underwent rapid development. The red LED and blue/green vacuum fluorescent displays consumed a lot of power and the calculators either had a short battery life (often measured in hours, so rechargeable nickel-cadmium batteries were common) or were large so that they could take larger, higher capacity batteries. In the early 1970s liquid-crystal displays (LCDs) were in their infancy and there was a great deal of concern that they only had a short operating lifetime. Busicom introduced the Busicom "LE-120A "HANDY"" calculator, the first pocket-sized calculator and the first with an LED display, and announced the Busicom "LC" with LCD. However, there were problems with this display and the calculator never went on sale. The first successful calculators with LCDs were manufactured by Rockwell International and sold from 1972 by other companies under such names as: Dataking "LC-800", Harden "DT/12", Ibico "086", Lloyds "40", Lloyds "100", Prismatic "500" (a.k.a. "P500"), Rapid Data "Rapidman 1208LC". The LCDs were an early form using the "Dynamic Scattering Mode DSM" with the numbers appearing as bright against a dark background. To present a high-contrast display these models illuminated the LCD using a filament lamp and solid plastic light guide, which negated the low power consumption of the display. These models appear to have been sold only for a year or two.
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A more successful series of calculators using a reflective DSM-LCD was launched in 1972 by Sharp Inc with the Sharp "EL-805", which was a slim pocket calculator. This, and another few similar models, used Sharp's "Calculator On Substrate" (COS) technology. An extension of one glass plate needed for the liquid crystal display was used as a substrate to mount the needed chips based on a new hybrid technology. The COS technology may have been too costly since it was only used in a few models before Sharp reverted to conventional circuit boards.
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In the mid-1970s the first calculators appeared with field-effect, "twisted nematic" (TN) LCDs with dark numerals against a grey background, though the early ones often had a yellow filter over them to cut out damaging ultraviolet rays. The advantage of LCDs is that they are passive light modulators reflecting light, which require much less power than light-emitting displays such as LEDs or VFDs. This led the way to the first credit-card-sized calculators, such as the Casio "Mini Card LC-78" of 1978, which could run for months of normal use on button cells.
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There were also improvements to the electronics inside the calculators. All of the logic functions of a calculator had been squeezed into the first "calculator on a chip" integrated circuits (ICs) in 1971, but this was leading edge technology of the time and yields were low and costs were high. Many calculators continued to use two or more ICs, especially the scientific and the programmable ones, into the late 1970s.
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The power consumption of the integrated circuits was also reduced, especially with the introduction of CMOS technology. Appearing in the Sharp "EL-801" in 1972, the transistors in the logic cells of CMOS ICs only used any appreciable power when they changed state. The LED and VFD displays often required added driver transistors or ICs, whereas the LCDs were more amenable to being driven directly by the calculator IC itself.
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With this low power consumption came the possibility of using solar cells as the power source, realised around 1978 by calculators such as the Royal "Solar 1", Sharp "EL-8026", and Teal "Photon".
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At the start of the 1970s, hand-held electronic calculators were very costly, at two or three weeks' wages, and so were a luxury item. The high price was due to their construction requiring many mechanical and electronic components which were costly to produce, and production runs that were too small to exploit economies of scale. Many firms saw that there were good profits to be made in the calculator business with the margin on such high prices. However, the cost of calculators fell as components and their production methods improved, and the effect of economies of scale was felt.
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By 1976, the cost of the cheapest four-function pocket calculator had dropped to a few dollars, about 1/20 of the cost five years before. The results of this were that the pocket calculator was affordable, and that it was now difficult for the manufacturers to make a profit from calculators, leading to many firms dropping out of the business or closing. The firms that survived making calculators tended to be those with high outputs of higher quality calculators, or producing high-specification scientific and programmable calculators.
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The first calculator capable of symbolic computing was the HP-28C, released in 1987. It could, for example, solve quadratic equations symbolically. The first graphing calculator was the Casio fx-7000G released in 1985.
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The two leading manufacturers, HP and TI, released increasingly feature-laden calculators during the 1980s and 1990s. At the turn of the millennium, the line between a graphing calculator and a handheld computer was not always clear, as some very advanced calculators such as the TI-89, the Voyage 200 and HP-49G could differentiate and integrate functions, solve differential equations, run word processing and PIM software, and connect by wire or IR to other calculators/computers.
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The HP 12c financial calculator is still produced. It was introduced in 1981 and is still being made with few changes. The HP 12c featured the reverse Polish notation mode of data entry. In 2003 several new models were released, including an improved version of the HP 12c, the "HP 12c platinum edition" which added more memory, more built-in functions, and the addition of the algebraic mode of data entry.
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Calculated Industries competed with the HP 12c in the mortgage and real estate markets by differentiating the key labeling; changing the "I", "PV", "FV" to easier labeling terms such as "Int", "Term", "Pmt", and not using the reverse Polish notation. However, CI's more successful calculators involved a line of construction calculators, which evolved and expanded in the 1990s to present. According to Mark Bollman, a mathematics and calculator historian and associate professor of mathematics at Albion College, the "Construction Master is the first in a long and profitable line of CI construction calculators" which carried them through the 1980s, 1990s, and to the present.
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Personal computers often come with a calculator utility program that emulates the appearance and functions of a calculator, using the graphical user interface to portray a calculator. One such example is Windows Calculator. Most personal data assistants (PDAs) and smartphones also have such a feature.
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In most countries, students use calculators for schoolwork. There was some initial resistance to the idea out of fear that basic or elementary arithmetic skills would suffer. There remains disagreement about the importance of the ability to perform calculations "in the head", with some curricula restricting calculator use until a certain level of proficiency has been obtained, while others concentrate more on teaching estimation methods and problem-solving. Research suggests that inadequate guidance in the use of calculating tools can restrict the kind of mathematical thinking that students engage in. Others have argued that calculator use can even cause core mathematical skills to atrophy, or that such use can prevent understanding of advanced algebraic concepts. In December 2011 the UK's Minister of State for Schools, Nick Gibb, voiced concern that children can become "too dependent" on the use of calculators. As a result, the use of calculators is to be included as part of a review of the Curriculum. In the United States, many math educators and boards of education have enthusiastically endorsed the National Council of Teachers of Mathematics (NCTM) standards and actively promoted the use of classroom calculators from kindergarten through high school.
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The United States Space Force (USSF) is the space service branch of the U.S. Armed Forces, one of the eight U.S. uniformed services, and the world's only independent space force. Along with its sister branch, the U.S. Air Force, the Space Force is part of the Department of the Air Force, one of the three civilian-led military departments within the Department of Defense. The Space Force, through the Department of the Air Force, is overseen by the secretary of the Air Force, a civilian political appointee who reports to the secretary of defense, and is appointed by the president with Senate confirmation. The military head of the Space Force is the chief of space operations who is typically the most senior Space Force officer. The chief of space operations exercises supervision over the Space Force's units and serves as one of the Joint Chiefs of Staff.
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The Space Force is the smallest U.S. armed service, consisting of 8,400 military personnel. The Space Force operates 77 spacecraft in total across various programs such as GPS, Space Fence, military satellite communications constellations, X-37B spaceplanes, U.S. missile warning system, U.S. space surveillance network, and the Satellite Control Network. Under the Goldwater–Nichols Act, the Space Force is responsible for organizing, training, and equipping space forces, which are then presented to the unified combatant commands, predominantly to United States Space Command, for operational employment.
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The U.S. Space Force traces its roots to the beginning of the Cold War, with the first Army Air Forces space programs starting in 1945. In 1954, the Western Development Division, under General Bernard Schriever, was established as the first dedicated space organization within the U.S. Armed Forces and continues to exist as the Space Force's Space and Missile Systems Center. Military space forces were organized under several different Air Force major commands until they were unified when Air Force Space Command was established on 1 September 1982. U.S. space forces first began conducting combat support operations in the Vietnam War and continued to provide satellite communications, weather, and navigation support during the 1982 Falklands War, 1983 United States invasion of Grenada, 1986 United States bombing of Libya, and 1989 United States invasion of Panama. The first major employment of space forces culminated in the Gulf War, where they proved so critical to the U.S.-led coalition that it is sometimes referred to as the first "space war".
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The first discussions of creating a military space service occurred in 1958, and the idea was also being considered in 1982 by President Ronald Reagan. The 2001 Space Commission argued for the creation of a Space Corps between 2007 and 2011, and a bipartisan proposal in the U.S. Congress would have created a U.S. Space Corps in 2017. On 20 December 2019, the United States Space Force Act was signed into law as part of the National Defense Authorization Act, reorganizing Air Force Space Command and other Air Force space elements into the United States Space Force, and creating the first new independent military service since the Army Air Forces were reorganized as the U.S. Air Force in 1947.
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The United States Space Force Act codified the Space Force as organized, trained, and equipped to "provide freedom of operation for the United States in, from, and to space" and "provide prompt and sustained space operations," with its stated duties enumerated as to "protect the interests of the United States in space, deter aggression in, from, and to space, and conduct space operations."
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On 10 August 2020, the Space Force released its capstone doctrine, "Spacepower: Doctrine for Space Forces", further expanding on its enumerated missions and duties. In "Spacepower", the Space Force defines its three cornerstone responsibilities, which it articulates why spacepower is vital to U.S. prosperity and security, to provide freedom of action in the space domain, enable joint lethality and effectiveness, and provide independent options to U.S. national leadership capable of achieving national objectives. "Spacepower" establishes the Space Force's five core competencies: space security, combat power projection, space mobility and logistics, information mobility, and space domain awareness. "Spacepower" lists the seven spacepower disciplines required for the core competencies as orbital warfare, space electromagnetic warfare, space battle management, space access and sustainment, military intelligence, cyber operations, and engineering and acquisitions.
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Following the conclusion of the Second World War in 1945, early military space development was begun within the United States Army Air Forces by General Henry H. Arnold, who identified space as a crucial military arena decades before the first spaceflight. Gaining its independence from the United States Army in 1947, the United States Air Force began development of military space and ballistic missile programs, while also competing with the Army and Navy for the space mission in 1949.
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In 1954, the Air Force created its first space organization, the Western Development Division, under the leadership of General Bernard Schriever. The Western Development Division and its successor organization, the Air Force Ballistic Missile Division, were instrumental in developing the first United States military launch vehicles and spacecraft, competing predominantly with the Army Ballistic Missile Agency under the leadership of General John Bruce Medaris and former German scientist Wernher von Braun. The launch of Sputnik 1 spurred a massive reorganization of military space, and the 1958 establishment of the Advanced Research Projects Agency was a short-lived effort to centralized management of military space, with some fearing it would become a military service for space, with authorities being returned to the services in 1959.
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The establishment of NASA in 1958, however, eliminated the Army Ballistic Missile Agency, resulting in the Air Force Ballistic Missile Division serving as the primary military space organization. In 1961, the Air Force was designated as the Department of Defense's executive agent for space and Air Research and Development Command was reorganized into Air Force Systems Command, with the Air Force Ballistic Missile Division being replaced by the Space Systems Division - the first Air Force division solely focused on space. In the 1960s, military space activities began to be operationalized, with Aerospace Defense Command taking control of missile warning and space surveillance on behalf of NORAD, Strategic Air Command assuming the weather reconnaissance mission, and Air Force Systems Command operating the first generations of communications satellites on behalf of the Defense Communications Agency.
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In 1967, the Space Systems Division and Ballistic Missiles Division were merged to form the Space and Missile Systems Organization, which began to develop the next generation of satellite communications, space-based missile warning, space launch vehicles and infrastructure, and the predecessor to the Global Positioning System. Space forces saw their first employment in the Vietnam War, providing weather and communications support to ground and air forces. The disjointed nature of military space forces across three military commands resulted in a reevaluation of space force organization within the Air Force. In 1979, the Space and Missile Systems Organization was split, forming the Space Division, and in 1980, Aerospace Defense Command was inactivated and its space forces transferred to Strategic Air Command. Resulting from internal and external pressures, including an effort by a congressman to rename the Air Force into the Aerospace Force and the possibility that President Reagan would direct the creation of a space force as a separate military branch, the Air Force directed the formation of Air Force Space Command in 1982.
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During the 1980s, Air Force Space Command absorbed the space missions of Strategic Air Command and the launch mission from Air Force Systems Command. Space forces provided space support during the Falklands War, the United States invasion of Grenada, the 1986 United States bombing of Libya, Operation Earnest Will, and the United States invasion of Panama. The tactical employment of space forces culminated in the Gulf War, where space forces proved so critical to the U.S.-led coalition, that it is sometimes referred to as the first space war.
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Following the end of the Gulf War, the Air Force came under intense congressional scrutiny by seeking to artificially merge its air and space operations into a seamless aerospace continuum, without regard for the differences between space and air. During the 1990s, several proposals were put forth for an independent space force, including one by Air Force Space Command lieutenant colonel Cynthia A.S. McKinley in 2000 which called for the establishment of a United States Space Guard. The 2001 Space Commission criticized the Air Force for institutionalizing the primacy of aviation pilots over space officers in Air Force Space Command, for stifling the development of an independent space culture, and not paying sufficient budgetary attention to space. The Space Commission recommended the formation of a Space Corps within the Air Force between 2007 and 2011, with an independent Space Force to be created at a later date. The September 11 attacks derailed most progress in space development, resulting in the inactivation of United States Space Command and beginning a period of atrophy in military space. The only major change to occur was the transfer of the Space and Missile Systems Center from Air Force Materiel Command to Air Force Space Command. Following the inactivation of U.S. Space Command in 2002, Russia and China began developing sophisticated on-orbit capabilities and an array of counter-space weapons, with the 2007 Chinese anti-satellite missile test of particular concern as it created 2,841 high-velocity debris items, a larger amount of dangerous space junk than any other space event in history. The Allard Commission report, unveiled in the wake of the 2007 Chinese anti-satellite missile test, called for a reorganization of national security space, however many of its recommendations were not acted upon by the Air Force.
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Growing impatient with the Air Force, who they felt was more interested in jet fighters than space, representatives Jim Cooper and Mike Rogers unveiled a bipartisan proposal in the House of Representatives to establish the United States Space Corps as a separate military service within the Department of the Air Force, with the commandant of the Space Corps as a member of the Joint Chiefs of Staff. This proposal was put forward to separate space professionals from the Air Force, give space a greater cultural focus, and help develop a leaner and faster space acquisitions system. This was done because of congressional concern that the space mission had become subordinate to the Air Force's preferred air dominance mission and that space officers were being treated unfairly within the Air Force, with Representative Rogers noting that in 2016 none of the 37 Air Force colonels selected for promotion to brigadier general were space officers and that only 2 of the 450 hours of Air Force professional military education were dedicated to space. The proposal passed in the House of Representatives but was cut from the final bill in negotiations with the U.S. Senate. Following the defeat of the proposal, representatives Cooper and Rogers heavily criticized Air Force leadership for not taking threats in space seriously and continued resistance to reform. The Space Corps proposal was, in large part, spurred on by the development of the People's Liberation Army Strategic Support Force and the Russian Space Forces.
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The Space Corps proposal gained new life when, at a June 2018 meeting of the National Space Council, President Donald Trump directed the Department of Defense to begin the necessary processes to establish the U.S. Space Force as a branch of the Armed Forces. On 19 February 2019, Space Policy Directive 4 was signed, initially calling for the placement of the U.S. Space Force within the Department of the Air Force, later creating and transferring the service to the Department of the Space Force. Legislative provisions for the Space Force were included in the 2020 National Defense Authorization Act, which was signed into law on 20 December 2019. The Space Force was established as the sixth armed service branch, with Air Force general John "Jay" Raymond, the commander of Air Force Space Command and U.S. Space Command, becoming the first chief of space operations. On 14 January 2020, Raymond was officially sworn in as chief of space operations by Vice President Mike Pence.
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On 20 December, its first organizational change occurred when Secretary of the Air Force Barbara Barrett designated Air Force Space Command's Fourteenth Air Force as Space Operations Command. All of Air Force Space Command's 16,000 active duty and civilian personnel were assigned to the new service. Major organizational changes during the first year included replacing its space wings and operations groups with deltas and garrisons on 24 July 2020 and announcing its field command structure, merging wings and groups into deltas and numbered air forces and major commands into field commands. Space Delta 2 became the space domain awareness delta, replacing the 21st Operations Group; Space Delta 3 became the space electronic warfare delta, replacing the 721st Operations Group; Space Delta 4 became the missile warning delta, replacing 460th Operations Group and absorbing the ground-based missile warning radars of the 21st Operations Group; Space Delta 5 became the command and control delta, replacing the 614th Air Operations Center; Space Delta 6 became the cyberspace operations delta, replacing the 50th Network Operations Group; Space Delta 7 became the intelligence, surveillance, and reconnaissance delta, replacing Air Combat Command's 544th Intelligence, Surveillance and Reconnaissance Group; Space Delta 8 became the satellite communication and navigation warfare delta, replacing the 50th Operations Group; Space Delta 9 became the orbital warfare delta, replacing the 750th Operations Group; the Peterson-Schriever Garrison became responsible for the base administration of Peterson Air Force Base, Schriever Air Force Base, Cheyenne Mountain Air Force Station, Thule Air Base, New Boston Air Force Station, and Kaena Point Satellite Tracking Station, replacing the 21st Space Wing and the 50th Space Wing; the Buckley Garrison became responsible for the base administration of Buckley Air Force Base, Cape Cod Air Force Station, Cavalier Air Force Station, and Clear Air Force Station, replacing the 460th Space Wing.
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On 21 October 2020, Space Operations Command was established as its first field command, replacing headquarters Air Force Space Command. The first Space Operations Command (redesignated Fourteenth Air Force) was redesignated back to Fourteenth Air Force, inactivated on 21 October 2020 and return to the United States Air Force. On the same day, a newly created Space Operations Command-West, was activated.
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On 3 April 2020, Chief Master Sergeant Roger A. Towberman, formerly command chief of Air Force Space Command, transferred to the Space Force as the Senior Enlisted Advisor of the Space Force, becoming its second member and first enlisted member. On 18 April 2020, 86 graduates of the United States Air Force Academy became the first group of commissioned second lieutenants in the U.S. Space Force. On 16 July 2020, the Space Force selected 2,410 space operations officers and enlisted space systems operators to transfer to the Space Force, with the first back recommissioning or reenlisting on 1 September. The Space Force swore in its first 7 enlisted recruits on 20 October 2020, graduating basic military training on 10 December 2020 and its first Officer Training School candidates commissioned on 16 October. The Space Force also commissioned its first astronaut, with Colonel Michael S. Hopkins, the commander of SpaceX Crew-1, swearing into the Space Force from the International Space Station on 18 December 2020.
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During the first year major symbols were also unveiled, with the Seal of the United States Space Force approved on 15 January 2020 and was revealed on 24 January 2020, the flag of the United States Space Force debuted at signing ceremony for the 2020 Armed Forces Day proclamation on 15 May 2020, the Space Force Delta symbol and motto of "Semper Supra" released on 22 July 2020, and the official service title of Guardian announced on 18 December 2020. The first Air Force installations were renamed on 9 December 2020, with Patrick Air Force Base and Cape Canaveral Air Force Station renamed as Patrick Space Force Base and Cape Canaveral Space Force Station.
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In September 2020, the Space Force and NASA signed a memorandum of understanding formally acknowledging the joint role of both agencies. This new memorandum replaced a similar document signed in 2006 between NASA and Air Force Space Command. The Space Force's first combat operations as a new service included providing early warning of Iranian Islamic Revolutionary Guard Corps Aerospace Force missile strikes against U.S. troops at Al Asad Airbase on 7 January 2020 through the 2nd Space Warning Squadron's Space Based Infrared System. The Space Force also monitored Russian Space Forces spacecraft which had been tailing U.S. government satellites.
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On 20 September 2022, the Space Force unveiled its official anthem, the march "Semper Supra" ("Always Above"), in a performance by the United States Air Force Band during the 2022 Air & Space Forces Association Air, Space and Cyber Conference at National Harbor, Maryland.
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The United States Space Force is organized and managed under the civilian-led Department of the Air Force, which also manages the United States Air Force. The Department of the Air Force is under the leadership of the secretary of the Air Force (SecAF) and under secretary of the Air Force, both civilian political appointees. The most senior Space Force officer is the chief of space operations (CSO), unless a Space Force general is serving as the chairman or vice-chairman of the Joint Chiefs of Staff. The secretary of the Air Force and chief of space operations are responsible for organizing, recruiting, training, and equipping the space forces for employment by the unified combat commands, predominantly United States Space Command.
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The Space Force's field organizations consist of three different echelons of command: field commands, deltas or garrisons, and squadrons. Field commands align with specific mission focuses and are led by a lieutenant general or major general. Deltas and garrisons are organized around a specific function, such as operations or training, in the case of a delta, or installation support, in the case of a garrison, and are led by a colonel. Squadrons are focused on specific tactics and are led by a lieutenant colonel.
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The Space Staff, also known as the "Office of the Chief of Space Operations or Headquarters," which serves as the service's highest staff and headquarters element, is located at the Pentagon.
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The Space Staff is overseen by the chief of space operations (CSO), who holds the four-star rank of General and is responsible for organizing, training, and equipping the Space Force and serves as the principal advisor to the Secretary of the Air Force on the Space Force. In addition to a service role, the CSO serves on the Joint Chiefs of Staff (JCS), providing advice to the President and Secretary of Defense
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The vice chief of space operations (VCSO), also holding the rank of General, serves as the Deputy to the Chief of Space Operations and is responsible for overseeing, integrating space policy and guidance, and coordinating space-related activities for the U.S. Space Force and Department of the Air Force.
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The Chief Master Sergeant of the Space Force (CMSSF) is the most senior enlisted member of the Space Force unless an enlisted guardian is serving as the senior enlisted advisor to the chairman. The CMSSF provides direction for and represents the interests of the Space Force's enlisted corps, while also acting as a personal advisor to the (CSO) and (SecAF) on issues relating to the welfare, readiness, morale, utilization, and development of members of the Space Force.
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