query: who invented the greater than and less than sign

pos: Greater-than sign been repurposed for a range of uses and operations. The symbols < and > first appear in ("The Analytical Arts Applied to Solving Algebraic Equations") by Thomas Harriot (1560–1621), which was published posthumously in 1631. The text states: " a > b a b" and " a < b a b." According to historian Art Johnson (page 144), while Harriot was surveying North America, he saw a Native American with a symbol that resembled the greater-than sign both backwards and forwards ( > and < ). Johnson says it is likely he developed the two symbols from this symbol. The

neg: Greater-than sign Greater-than sign The greater-than sign is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting in an acute angle at the right, >, has been found in documents dated as far back as the 1560s. In typical mathematical usage, the greater-than sign is typically placed between the two values being compared and signals that the first number is greater than the second number. Examples of typical usage include "1½ > 1" and "1 > −2". Since the development of computer programming languages, the greater-than sign and the less-than sign have

neg: Less-than sign Less-than sign The "less-than sign" is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting in an acute angle at the left, <, has been found in documents dated as far back as the 1560s. In typical mathematical usage, the less-than sign is typically placed between the two values being compared and signals that the first number is less than the second number. Examples of typical usage include "½ < 1" and "−2 < 1". Since the development of computer programming languages, the less-than sign and the greater-than sign have

neg: Linear inequality are called the unknowns, and formula_8 are called the coefficients. Alternatively, these may be written as where "g" is an affine function. That is or Note that any inequality containing a "greater than" or a "greater than or equal" sign can be rewritten with a "less than" or "less than or equal" sign, so there is no need to define linear inequalities using those signs. A system of linear inequalities is a set of linear inequalities in the same variables: Here formula_14 are the unknowns, formula_15 are the coefficients of the system, and formula_16 are the constant terms. This can

neg: Sign test the end of the study. The researcher wished to determine if the median survival time was less than or greater than 200 weeks. The null hypothesis is that median survival is 200 weeks. The alternative hypothesis is that median survival is not 200 weeks. Notice that this is a two-sided test: the alternative median may be greater than or less than 200 weeks. If the null hypothesis is true, that the median survival is 200 weeks, then, in a random sample approximately half the subjects should survive less than 200 weeks, and half should survive more than 200 weeks. Observations

neg: Greater-than sign are unavailable. In the R programming language, this can be used as the right assignment operator. In the C, C++, and C# programming languages, this is used as a member access operator. In Bourne shell (and many other shells), greater-than sign is used to redirect output to a file. Greater-than plus ampersand (>&) is used to redirect to a file descriptor. Greater-than sign is used in the spaceship operator. In HTML (and SGML and XML), the greater-than sign is used at the end of tags. The greater-than sign may be included with >, while ≥ produces the greater-than or equal

neg: DEC Alpha zero are equality, inequality, less than, less than or equal to, greater than or equal to, and greater than. The new address is computed by longword aligning and sign extending the 21-bit displacement and adding it to the address of the instruction following the conditional branch. Unconditional branches update the program counter with a new address computed in the same way as conditional branches. They also save the address of the instruction following the unconditional branch to a register. There are two such instructions, and they differ only in the hints provided for the branch prediction hardware. There are four

neg: Greater-than sign greater-than sign (>) is an original ASCII character (hex 3E, decimal 62). The character in Unicode is ; this is inherited from the same value in ASCII. Apart from this, Unicode also has the following variants: The greater-than sign is used for an approximation of the closing angle bracket (⟩). ASCII does not have angular brackets. BASIC and C-family languages, (including Java and C++) use the operator > to mean "greater than". In Lisp-family languages, > is a function used to mean "greater than". In Coldfusion and Fortran, operator .GT. means "greater than". The double greater-than sign (») is used

neg: Greater-than sign to sign. The greater-than sign is used to denote quotations in the e-mail and newsgroup formats, and this has been taken into use also in forums. It is also used before a sentence for a sense of implication. (>implying) Greater-than sign The greater-than sign is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting in an acute angle at the right, >, has been found in documents dated as far back as the 1560s. In typical mathematical usage, the greater-than sign is typically placed between the two values being compared

neg: Triangle inequality that the longest side length is less than the semiperimeter. A mathematically equivalent formulation is that the area of a triangle with sides "a", "b", "c" must be a real number greater than zero. Heron's formula for the area is In terms of either area expression, the triangle inequality imposed on all sides is equivalent to the condition that the expression under the square root sign be real and greater than zero (so the area expression is real and greater than zero). The triangle inequality provides two more interesting constraints for triangles whose sides are "a, b, c", where "a

neg: Less-than sign been repurposed for a range of uses and operations. The less-than sign (<) is an original ASCII character (hex 3C, decimal 60). The less-than sign is used for an approximation of the opening angle bracket (⟨). ASCII does not have angle brackets. In BASIC, Lisp-family languages, and C-family languages (including Java and C++), operator < means "less than". In Coldfusion, operator .lt. means "less than". In Fortran, operator .LT. means "less than"; later versions allow <. In Bourne shell, operator -lt means "less than". The double less-than sign («) is used for an approximation of the much-less-than sign (≪) or

neg: Less-than sign (and SGML and XML), the less-than sign is used at the beginning of tags. The less-than sign may be included with codice_2. The less-than-or-equal-to sign may be included with codice_3. In an inequality, the less-than sign always "points" to the smaller number. Put another way, the "jaws" (the wider section of the symbol) always direct to the larger number. Less-than sign The "less-than sign" is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting in an acute angle at the left, <, has been found in documents dated as far

neg: Mathematical Operators the Mathematical Operators block: Mathematical Operators Mathematical Operators is a Unicode block containing characters for mathematical, logical, and set notation. Notably absent are the plus sign (+), greater than sign (>) and less than sign (<), due to them already appearing in the Basic Latin Unicode block, and the multiplication sign (×) and obelus (÷), due to them already appearing in the Latin-1 Supplement block, although a distinct minus sign (−) is included, differing from the Basic Latin hyphen-minus (-). The block has sixteen variation sequences defined for standardized variants. The following Unicode-related documents record the purpose and process of

neg: Mathematical Operators Mathematical Operators Mathematical Operators is a Unicode block containing characters for mathematical, logical, and set notation. Notably absent are the plus sign (+), greater than sign (>) and less than sign (<), due to them already appearing in the Basic Latin Unicode block, and the multiplication sign (×) and obelus (÷), due to them already appearing in the Latin-1 Supplement block, although a distinct minus sign (−) is included, differing from the Basic Latin hyphen-minus (-). The block has sixteen variation sequences defined for standardized variants. The following Unicode-related documents record the purpose and process of defining specific characters in

neg: Greater-than sign opposite of ≤). ASCII doesn't have a greater-than-or-equal-to sign. In BASIC, Lisp-family languages, and C-family languages (including Java and C++), operator >= means "greater than or equal to". In Sinclair BASIC it is encoded as a single-byte code point token. In Fortran, operator .GE. means "greater than or equal to". In Bourne shell and Windows PowerShell, the operator -ge means "greater than or equal to". In some programming languages (for example F#), the greater-than sign is used in conjunction with a hyphen-minus to create an arrow (->). Arrows like these could also be used in text where other arrow symbols

neg: Sign test Sign test The sign test is a statistical method to test for consistent differences between pairs of observations, such as the weight of subjects before and after treatment. Given pairs of observations (such as weight pre- and post-treatment) for each subject, the sign test determines if one member of the pair (such as pre-treatment) tends to be greater than (or less than) the other member of the pair (such as post-treatment). The paired observations may be designated "x" and "y". For comparisons of paired observations ("x",y), the sign test is most useful if comparisons can only be expressed as "x"

neg: Sign test the situation when we can draw paired samples from "X" and "Y". The sign test can also test if the median of a collection of numbers is significantly greater than or less than a specified value. For example, given a list of student grades in a class, the sign test can determine if the median grade is significantly different from, say, 75 out of 100. The sign test is a non-parametric test which makes very few assumptions about the nature of the distributions under test – this means that it has very general applicability but may lack the statistical power

neg: Greater-than sign in imperative languages, such as the semicolon in C. The triple greater-than sign (»>) is the unsigned right shift operator in JavaScript, and is the default Python prompt of the interactive shell, often seen for code examples which can be executed interactively in the interpreter ~:$ python Python 2.7.5 (default, Mar 9 2014, 22:15:05) [GCC 4.2.1 Compatible Apple LLVM 5.0 (clang-500.0.68)] on darwin Type "help", "copyright", "credits" or "license" for more information. »> print("Hello World") Hello World The greater-than sign plus the equals sign (>=) is used for an approximation of the greater than or equal to sign (≥, the

neg: Less-than sign encoded as a single-byte code point token. In Fortran, operator .LE. means "less than or equal to". In Bourne shell and Windows PowerShell, the operator -le means "less than or equal to". In the R programming language, the less-than sign is used in conjunction with a hyphen-minus to create an arrow (codice_1), this can be used as the left assignment operator. In Bourne shell (and many other shells), less-than sign is used to redirect input from a file. Less-than plus ampersand (<&) is used to redirect from a file descriptor. Less-than sign is used in the spaceship operator. In HTML

neg: Two's complement The zero flag indicates if two values compared equal. If the exclusive-or of the sign and overflow flags is 1, the subtraction result was less than zero, otherwise the result was zero or greater. These checks are often implemented in computers in conditional branch instructions. Unsigned binary numbers can be ordered by a simple lexicographic ordering, where the bit value 0 is defined as less than the bit value 1. For two's complement values, the meaning of the most significant bit is reversed (i.e. 1 is less than 0). The following algorithm (for an -bit two's complement architecture) sets the

neg: Sign test than the foreleg in 8 of 10 deer. Thus, there are x=8 successes in n=10 trials. The hypothesized probability of success (defined as hind leg longer than foreleg) is "p" = 0.5 under the null hypothesis that hind legs and forelegs do not differ in length. The alternative hypothesis is that hind leg length may be either greater than or less than foreleg length, which is a two sided test, specified as alternative="two.sided". The R command gives p=0.1094, as in the example. The sign test example in Conover examined consumer preference for product A vs. product B. The null hypothesis

neg: Greater-than sign for an approximation of the much greater than sign (≫). ASCII does not have the much greater-than sign. The double greater-than sign (») is also used for an approximation of the closing guillemet (»). In Java, C, and C++, the operator » is the right-shift operator. In C++ it is also used to get input from a stream, similar to the C functions getchar and fgets. In Haskell, the » function is a monadic operator. It is used for sequentially composing two actions, discarding any value produced by the first. In that regard, it is like the statement sequencing operator

neg: Management of scoliosis Indications for Scoliosis Bracing: Scoliosis professionals determine the proper bracing method for a patient after a complete clinical evaluation. The patient’s growth potential, age, maturity, and scoliosis (Cobb angle, rotation, and sagittal profile) are also considered. Immature patients who present with Cobb angles less than 20 degrees should be closely monitored. Immature patients who present with Cobb angles of 20 degrees to 29 degrees should be braced according to the risk of progression by considering age, Cobb angle increase over a six-month period, Risser sign, and clinical presentation. Immature patients who present with Cobb angles greater than 30 degrees should

neg: Less-than sign is used to denote the beginning of a heredoc statement (where OUTPUT is an arbitrary named variable.) In Bash, «<word is used as a "here string", where word is expanded and supplied to the command on its standard input, similar to a heredoc. The less-than sign plus the equals sign (<=) is used for an approximation of the less-than-or-equal-to sign (≤). ASCII does not have a less-than-or-equal-to sign, but Unicode defines it at code point U+2264. In BASIC, Lisp-family languages, and C-family languages (including Java and C++), operator <= means "less than or equal to". In Sinclair BASIC it is

neg: Intersection capacity utilization 64% but less than 73% D: If ICU is greater than 73% but less than 82% E: If ICU is greater than 82% but less than 91% F: If ICU is greater than 91% but less than 100% G: If ICU is greater than 100% but less than 109% H: If ICU is greater than 109% This grading criteria shows some specific details about the specific intersection: A: Intersection has no congestion B: Intersection has very little congestion C: Intersection has no major congestion D: Intersection normally has no congestion E: Intersection is on the verge of congested conditions F:

neg: MUMPS names and labels are case-sensitive. There is no special meaning for upper vs. lower-case and few widely followed conventions. The percent sign (%) is legal as first character of variables and labels. Postconditionals: execution of almost any command can be controlled by following it with a colon and a truthvalue expression. codice_11 sets A to "FOO" if N is less than 10; codice_12 performs PRINTERR if N is greater than 100. This construct provides a conditional whose scope is less than a full line. Abbreviation: You can abbreviate nearly all commands and native functions to one, two, or three characters.

neg: Optical aberration or through a thin positive lens, O'2 will lie in front of O'1 so long as the angle u2 is greater than u1 ("under correction"); and conversely with a dispersive surface or lenses ("over correction"). The caustic, in the first case, resembles the sign > (greater than); in the second < (less than). If the angle u1 is very small, O'1 is the Gaussian image; and O'1 O'2 is termed the "longitudinal aberration," and O'1R the "lateral aberration" of the pencils with aperture u2. If the pencil with the angle u2 is that of the maximum aberration of all the

neg: Carpal tunnel syndrome a sensitivity greater than 85% and specificity greater than 95%. Given the key role of electrodiagnostic testing in the diagnosis of CTS, The American Association of Neuromuscular & Electrodiagnostic Medicine has issued evidence-based practice guidelines, both for the diagnosis of carpal tunnel syndrome. Numbness in the distribution of the median nerve, nocturnal symptoms, thenar muscle weakness/atrophy, positive Tinel's sign at the carpal tunnel, and abnormal sensory testing such as two-point discrimination have been standardized as clinical diagnostic criteria by consensus panels of experts. Pain may also be a presenting symptom, although less common than sensory disturbances. Electrodiagnostic testing (electromyography and

neg: Pontoon effect a trimaran with narrow-beam floats will simply submerge the lee float, exposing only the weather wing and that with a lesser moment. In practical sea situations the windage effect is greater than the buoyancy effect and so cruising trimarans with highly buoyant floats are more, not less, likely to capsize than those with less buoyant floats. A trimaran is best stabilised not by adding buoyancy on the lee float but adding weight to the weather float. This is the basis of the "cool-tubes" stability system invented by Tristan Jones and L. Surtees. A large-diameter pipe closed at the aft end

neg: Sign test less than foreleg length. A one-sided test could be that hind leg length is greater than foreleg length, so that the difference can only be in one direction (greater than). There are n=10 deer. There are 8 positive differences and 2 negative differences. If the null hypothesis is true, that there is no difference in hind leg and foreleg lengths, then the expected number of positive differences is 5 out of 10. What is the probability that the observed result of 8 positive differences, or a more extreme result, would occur if there is no difference in leg lengths? Because

neg: Anesthesia a person who is between the ages of 60–79 years old places the patient at 2.3 times greater risk than someone less than 60 years old. Having an ASA score of 3, 4 or 5 places the person at 10.7 times greater risk than someone with an ASA score of 1 or 2. Other variables include age greater than 80 (3.3 times risk compared to those under 60), gender (females have a lower risk of 0.8), urgency of the procedure (emergencies have a 4.4 times greater risk), experience of the person completing the procedure (less than 8 years experience and/or

neg: Orbital speed it is assumed that the system is a two-body system and the orbiting object has a negligible mass compared to the larger (central) object. In real-world orbital mechanics, it is the system's barycenter, not the larger object, which is at the focus. Specific orbital energy = K.E. + P.E. (kinetic energy + potential energy). Since kinetic energy is always non-negative (greater than or equal to zero, ≥0) and potential energy is always non-positive (less than or equal to zero, ≤0), the sign of this may be positive, zero, or negative and the sign tells us something about the type of

neg: MIX 9 registers in MIX: A byte is assumed to be at least 6 bits. Most instructions can specify "which" of the "fields" (bytes) of a register are to be altered, using a suffix of the form "(first:last)". The zeroth field is the one-bit sign. MIX also records whether the previous operation overflowed, and has a one-trit comparison indicator (less than, equal to, or greater than). The MIX machine has 4000 words of storage (each with 5 bytes and a sign), addressed from 0 to 3999. A variety of input and output devices are also included: Each machine instruction in memory

neg: Interval (mathematics) with parentheses. For example, means greater than and less than . A closed interval is an interval which includes all its limit points, and is denoted with square brackets. For example, means greater than or equal to and less than or equal to . A half-open interval includes only one of its endpoints, and is denoted by mixing the notations for open and closed intervals. means greater than and less than or equal to , while means greater than or equal to and less than . A degenerate interval is any set consisting of a single real number. Some authors

neg: AIM-65 and registers, starting execution of other programs and more. Single stepping was made possible using non-maskable interrupt (NMI). The command prompt was the less-than sign "<", and on receiving a single character command, it added this input character and the greater-than sign ">". If the thermal printer was turned on, this would be output on a single line. The monitor included a number of service routines that could be accessed and used by a user's program to control I/O and code execution, and was fully documented, including source code. The machine featured dual cassette tape control. This made it possible

neg: Concordant pair the difference in the number of concordant and discordant pairs to the number of pairs with unequal values for one of the two variables. Concordant pair In statistics, a concordant pair is a pair of observations, each on two variables, {X,Y} and {X,Y}, having the property that where "sgn" refers to whether a number is positive, zero, or negative (its sign). Specifically, the sign function, often represented as sgn, is defined as: That is, in a concordant pair, both elements of one pair are either greater than, equal to, or less than the corresponding elements of the other pair. In

neg: Concordant pair Concordant pair In statistics, a concordant pair is a pair of observations, each on two variables, {X,Y} and {X,Y}, having the property that where "sgn" refers to whether a number is positive, zero, or negative (its sign). Specifically, the sign function, often represented as sgn, is defined as: That is, in a concordant pair, both elements of one pair are either greater than, equal to, or less than the corresponding elements of the other pair. In contrast, a discordant pair is a pair of two-variable observations such that That is, if one pair contains a higher value of "X" then

neg: Passive sign convention which is not known until the circuit is analyzed. For example, if the voltage across a rechargeable battery's terminals is less than its open-circuit voltage, it will act as a source, while if the voltage is greater it will act as a load and recharge. So it is necessary for power and resistance variables to be able to take on both positive and negative values. Passive sign convention In electrical engineering, the passive sign convention (PSC) is a sign convention or arbitrary standard rule adopted universally by the electrical engineering community for defining the sign of electric power in an

neg: Pyloric stenosis with ultrasound, if available, showing the thickened pylorus and non-passage of gastric contents into the proximal duodenum. Muscle wall thickness 3 millimeters (mm) or greater and pyloric channel length of 15 mm or greater are considered abnormal in infants younger than 30 days. Although somewhat less useful, an upper GI series (x-rays taken after the baby drinks a special contrast agent) can be diagnostic by showing the narrowed pyloric outlet filled with a thin stream of contrast material; a "string sign" or the "railroad track sign". For either type of study, there are specific measurement criteria used to identify the

neg: Qualified Performing Artist Deduction fit certain criteria: In determining who his or her "employers" were for purposes of this statute, the taxpayer must only consider those employers that paid the taxpayer an amount equal to or greater than $200 for the taxpayer's performance. See I.R.C. § 62(b)(2). As a result of this, relatively unknown artists who are paid less than $200 per performance are not allowed to take this exception. Artists who are sometimes paid an amount equal to or greater than $200 and other times paid less than that amount can only claim the instances on which he or she received over $200.

neg: Wet grinder (food) have two advantages over electric mixers or blenders. First, the stone grinder generates less heat than a mixer and heat affects the flavor of the food. Second, the stones remain sharp for a greater time than do metal blades. As the product was invented in the city, Coimbatore naturally emerged as a center for the manufacture of wet grinders. The availability of raw material in the form of granite stones, electric motor manufacturing units and the necessary heavy equipment such as lathes, drilling and milling machines used in manufacturing aided the development of the industry. The city contributes to about

neg: Milling (machining) SK and HSK tooling, sometimes called "Hollow Shank Tooling", is much more common in Europe where it was invented than it is in the United States. It is claimed that HSK tooling is even better than BT Tooling at high speeds. The holding mechanism for HSK tooling is placed within the (hollow) body of the tool and, as spindle speed increases, it expands, gripping the tool more tightly with increasing spindle speed. There is no pull stud with this type of tooling. For manual milling machines, there is less standardization, because a greater plurality of formerly competing standards exist. Newer

neg: House (astrology) used before his time. Sinusoidal systems of house division are similar to Porphyry houses except that instead of each quadrant being divided into three equal sized houses, the middle house in each quadrant is compressed or expanded based on whether the quadrant covers less than or greater than 90 degrees. In other words, houses are smooth around the zodiac with the difference or ratio in quadrant sizes being spread in a continuous sinusoidal manner from expanded to compressed houses. Sinusoidal houses were invented and first published by Walter Pullen in his astrology program Astrolog in 1994. A recently published (1988)

neg: Minusio which is less than the cantonal average of but greater than the per person amount of . It is also less than the national per tax payer average of but greater than the per person average of . , Minusio had an unemployment rate of 4.11%. , there were 1,035 workers who commuted into the municipality and 2,055 workers who commuted away. The municipality is a net exporter of workers, with about 2.0 workers leaving the municipality for every one entering. About 13.1% of the workforce coming into Minusio are coming from outside Switzerland, while 0.1% of the locals commute

neg: Two-second rule time, a driver can wait until the rear end of the vehicle in front passes any distinct and fixed point on the roadway—e.g. a road sign, mailbox, line/crack/patch in the road. After the car ahead passes a given fixed point, the front of one's car should pass the same point no less than two seconds later. If the elapsed time is less than this, one should increase the distance, then repeat the method again until the time is at least two seconds. One can count the duration of time simply by saying "zero... one... two" but for greater accuracy, it

neg: IEEE 754-1985 be compared conveniently by the same hardware that compares signed 2's-complement integers. Using a biased exponent, the lesser of two positive floating-point numbers will come out "less than" the greater following the same ordering as for sign and magnitude integers. If two floating-point numbers have different signs, the sign-and-magnitude comparison also works with biased exponents. However, if both biased-exponent floating-point numbers are negative, then the ordering must be reversed. If the exponent were represented as, say, a 2's-complement number, comparison to see which of two numbers is greater would not be as convenient. The leading 1 bit is omitted since

neg: Dense artery sign ischemic stroke and that caused by false positives. Specifically, the combination of greater than 43 Hounsfield units and an MCA density ratio of greater than 1.2 was diagnostic of a dense MCA sign associated with acute ischemic stroke. Dense artery sign In medicine, the dense artery sign or hyperdense artery sign is an increased radiodensity of an artery as seen on computer tomography (CT) scans, and is a radiologic sign of early ischemic stroke. In earlier studies of medical imaging in patients with strokes, it was the earliest sign of ischemic stroke in a significant minority of cases. Its appearance

neg: The Blue Coat School, Oldham worship attendance of not less than fortnightly over a period of three years as of 31 August 2010. "Fortnightly" means attendance at least 24 weekly services per year." In 2014 the buildings of the Blue Coat school were renamed after notable people from Oldham. For example, Patrick Steptoe was the man who invented IVF and first used it in Oldham. They were voted for by staff and pupils. The Blue Coat School, Oldham The Blue Coat School is a mixed gender Church of England academy for 11- to 18-year-olds, located in the town of Oldham, Greater Manchester, England. The school

neg: On the Sizes and Distances (Aristarchus) and Moon could be deduced using a form of trigonometry. From the diagram and trigonometry, we can calculate that The diagram is greatly exaggerated, because in reality, "S = 390 L", and "φ" is extremely close to 90°. Aristarchus determined "φ" to be a thirtieth of a quadrant (in modern terms, 3°) less than a right angle: in current terminology, 87°. Trigonometric functions had not yet been invented, but using geometrical analysis in the style of Euclid, Aristarchus determined that In other words, the distance to the Sun was somewhere between 18 and 20 times greater than the distance to

neg: High-rise syndrome than six stories, and are still alive, have greater injuries than cats who fall from higher than six stories. It has been proposed that this might happen because cats reach terminal velocity after righting themselves (see below) at about five stories, and after this point they are no longer accelerating and can no longer sense that they are falling, which causes them to relax, leading to less severe injuries than in cats who have fallen from less than six stories. Another possible explanation for this phenomenon is that cats who die in falls are less likely to be brought to

neg: Sharaf al-Dīn al-Ṭūsī a "function". A value less than "d" means no positive solution; a value equal to "d" corresponds to one solution, while a value greater than "d" corresponds to two solutions. Sharaf al-Din's analysis of this equation was a notable development in Islamic mathematics, but his work was not pursued any further at that time, neither in the Muslim world nor in Europe. Sharaf al-Din al-Tusi's "Treatise on equations" has been described as inaugurating the beginning of algebraic geometry. Sharaf al-Din invented a linear astrolabe, sometimes called the "staff of Tusi". While easier to construct and was known in al-Andalus, it

neg: Castell's sign medicine, Castell's sign must be combined with clinical findings to rule in splenomegaly. To achieve a positive predictive value over 90%, the pretest probability must be 70%. Grover et al., recommends a greater than 10% preexamination clinical suspicion of splenic enlargement to effectively rule in the diagnosis of splenomegaly with physical exam. However, a 10% pretest probability only yields a positive predictive value of 35%. To rule out an enlarged spleen, a pretest probability of 30% or less will yield a negative predictive value over 90% (calculation) Given the paucity of physical exam findings to evaluate possible splenomegaly, Castell's sign

neg: Dc (computer program) greater, less than or equal to ("not greater"), less than, greater than or equal to ("not less than"), and not equals, respectively. Looping is then possible by defining a macro which (conditionally) reinvokes itself. A simple factorial of the top of the stack might be implemented as: The '1Q' command will exit from a macro, allowing an early return. 'q' will quit from two levels of macros (and "dc" itself if there are less than two levels on the call stack). 'z' will push the current stack depth before the 'z' operation. Print prime numbers : As an example of

neg: Negative number in the middle, with the positive numbers to the right and the negative numbers to the left. Note that a negative number with greater magnitude is considered less. For example, even though (positive) is greater than (positive) , written negative is considered to be less than negative : (Because, for example, if you have £-8, a debt of £8, you would have less after adding, say £10, to it than if you have £-5.) It follows that any negative number is less than any positive number, so In the context of negative numbers, a number that is greater than zero

neg: Shaft (golf) at the PGA Merchandise Show but did not gain widespread use until the mid-1990s and is now used on almost all woods and some iron sets, as the carbon-fiber composite of graphite shafts boasts increased flex for greater clubhead speed at the cost of slightly reduced accuracy due to greater torque. Steel, which generally has lower torque but less flex than graphite, is still widely preferred by many for irons, wedges and putters as these clubs stress accuracy over distance. "Graphite" shafts began to emerge in the late twentieth century. The graphite shaft was invented by Frank Thomas in 1969

neg: Chilean flamingo lagoons and soda lakes but these areas are vulnerable to habitat loss and water pollution. The plumage is pinker than the slightly larger greater flamingo, but less so than Caribbean flamingo. It can be differentiated from these species by its greyish legs with pink joints (tibiotarsal articulation), and also by the larger amount of black on the bill (more than half). Young chicks may have no sign of pink coloring whatsoever, but instead remain grey. The Chilean flamingo's bill is equipped with comb-like structures that enable it to filter food—mainly algae and plankton—from the water of the coastal mudflats, estuaries,

neg: Phonograph on frequencies up to 100 kHz. This requires a stylus with a narrow side radius, such as 5 µm (or 0.2 mil). A narrow-profile elliptical stylus is able to read the higher frequencies (greater than 20 kHz), but at an increased wear, since the contact surface is narrower. For overcoming this problem, the Shibata stylus was invented around 1972 in Japan by Norio Shibata of JVC, fitted as standard on quadraphonic cartridges, and marketed as an extra on some high-end cartridges. The Shibata-designed stylus offers a greater contact surface with the groove, which in turn means less pressure over the

neg: Jamming avoidance response or layers. The TS is located in the mesencephalon. Phase and amplitude information are integrated here to determine whether the stimulus frequency is greater or less than the EOD frequency. Sign-selective neurons in the deeper layers of the TS are selective to whether the frequency difference is positive or negative; any given sign-selective cell will fire in one case but not for the other. Sign-selective cells input into the nucleus electrosensorius (nE) in the diencephalon, which then projects onto two different pathways. Neurons selective for a positive difference (stimulus > EOD) stimulate the prepacemaker nucleus (PPn-G), while neurons selective for

neg: Bracket greater than" or "not less than," respectively. These symbols are not punctuation marks when used, as intended, to represent an inequality. However, as true chevrons are not present on computer keyboards, the available less-than and greater-than symbols are often used instead. They are loosely referred to as "angle[d] brackets" or "chevrons" in this case, but more properly—and less confusingly—as "pointy brackets" (see the Names section above). Single and double pairs of comparison operators («, ») (meaning "much smaller than" and "much greater than") are sometimes used as a fallback instead of guillemets («, ») (used as quotation marks in many

neg: Base oil sulfur content. The least refined type which is produced by Solvent Refining. It usually consists of conventional petroleum base oils. API defines group I as "base stocks contain less than 90 percent saturates and/or greater than 0.03 percent sulfur and have a viscosity index greater than or equal to 80 and less than 120". Better grade of petroleum base oil, which may be partially produced by Hydrocracking. All impurities will be removed from the oil leading to clearer color. API defines group II as "base stocks contain greater than or equal to 90 percent saturates and less than or equal

neg: Context-Based Sustainability scores will either be less than 1.0, greater than 1.0, or equal to 1.0. Such scores are then interpreted as follows: 1) for impacts on natural capitals, any score of less than or equal to 1.0 signifies sustainable performance; scores of greater than 1.0 signify the opposite; 2) for impacts on all other types of capital, the logic reverses: scores of greater than or equal to 1.0 signify sustainable performance; scores of less than 1.0 signify the opposite. These scoring conventions reflect the difference between capitals that are anthropogenic or human made (human, social, constructed, economic and intellectual) and those

neg: Combinatorial game theory a position in combinatorial game theory. In standard notation, ↓ = {*|0}. Down is strictly negative (↓ < 0), but is infinitesimal. Down is defined in Winning Ways for your Mathematical Plays. Consider the game {1|-1}. Both moves in this game are an advantage for the player who makes them; so the game is said to be "hot;" it is greater than any number less than -1, less than any number greater than 1, and fuzzy with any number in between. It is written as ±1. It can be added to numbers, or multiplied by positive ones, in the expected

neg: Ratio compare a ratio with a rational number. Specifically, given two quantities, "p" and "q", and a rational number "m"/"n" we can say that the ratio of "p" to "q" is less than, equal to, or greater than "m"/"n" when "np" is less than, equal to, or greater than "mq" respectively. Euclid's definition of equality can be stated as that two ratios are equal when they behave identically with respect to being less than, equal to, or greater than any rational number. In modern notation this says that given quantities "p", "q", "r" and "s", then "p":"q"::"r":"s" if for any positive

neg: RISC-V or carry bit. The designers believed that condition codes make fast CPUs more complex by forcing interactions between instructions in different stages of execution. This choice makes multiple-precision arithmetic more complex. Also, a few numerical tasks need more energy. Instead, RISC-V has short branches that perform comparisons: equal, not-equal, less-than, unsigned less-than, greater-than and unsigned greater-than. Ten comparison-branch operations are implemented with only six instructions, by reversing the order of operands in the assembler. For example, "branch if greater than" can be done by "less than or equal" with a reversed order of operands. The comparing branches have a twelve-bit

neg: Limit (mathematics) "epsilon") to represent any small positive number, so that " becomes arbitrarily close to " means that eventually lies in the interval , which can also be written using the absolute value sign as . The phrase "as approaches " then indicates that we refer to values of whose distance from is less than some positive number (the lower case Greek letter "delta")—that is, values of within either or , which can be expressed with . The first inequality means that the distance between and is greater than and that , while the second indicates that is within distance of

neg: Smoke Free Illinois Act separate violation. () A person who smokes in a prohibited area shall be fined from $100 to $250. A person who owns, operates, or otherwise controls a public place or place of employment that violates the act shall be fined not less than $250 for the first violation, not less than $500 for the second violation within one year after the first violation, and not less than $2,500 for each additional violation within one year after the first violation. () Post a "no smoking" sign at each entrance. Do not permit smoking in a public place, a place of employment

neg: Star (game theory) than", "equal to", nor "greater than") 0. It is less than all positive rational numbers, and greater than all negative rationals. Since the rationals are dense in the reals, this also makes * greater than any negative real, and less than any positive real. Games other than {0 | 0} may have value *. For example, the game formula_3, where the values are nimbers, has value * despite each player having more options than simply moving to 0. A combinatorial game has a positive and negative player; which player moves first is left ambiguous. The combinatorial game 0, or {

neg: Gestational age by the World Health Organization in the latter part of the century. Babies who were less than 28 weeks of gestational age, or weighed less than 1000 grams, or less than 35 cm in length – even if they showed some sign of life (breathing, heartbeat, voluntary muscle movement) – were classified as "live fetuses" rather than "live births." Only if such newborns survived seven days (168 hours) were they then classified as live births. If, however, they died within that interval, they were classified as stillbirths. If they survived that interval but died within the first 365 days they

neg: Hearing loss body language. A Certified Deaf Interpreter (CDI) is a sign language interpreter who is also a member of the Deaf community. They accompany a sign language interpreter and are useful for communication with deaf individuals who also have language or cognitive deficits. A CDI will transform what the health care professional communicates into basic, simple language. This method takes much longer, however it can also be more effective than other techniques. Internet interpretation services are convenient and less costly, but can potentially pose significant risks. They involve the use of a sign language interpreter over a video device rather than

neg: Bracket that are played simultaneously. In mathematics they delimit sets, and in writing, they may be used similarly, "Select your animal {goat, sheep, cow, horse} and follow me". In many programming languages, they enclose groups of statements and create a local scope. Such languages (C being one of the best-known examples) are therefore called curly bracket languages. In classical mechanics, curly brackets are often also used to denote the Poisson bracket between two quantities. , similar to the commonly used less-than (<) and greater-than sign (>), are often used to enclose highlighted material. In physical sciences, chevrons are used to denote

neg: Skewness of nonparametric skew, defined as formula_1 where formula_2 is the mean, formula_3 is the median, and formula_4 is the standard deviation, the skewness is defined in terms of this relationship: positive/right nonparametric skew means the mean is greater than (to the right of) the median, while negative/left nonparametric skew means the mean is less than (to the left of) the median. However, the modern definition of skewness and the traditional nonparametric definition do not in general have the same sign: while they agree for some families of distributions, they differ in general, and conflating them is misleading. If the distribution

neg: Positive feedback state variables. Such systems can give rich qualitative behaviors, but whether the feedback is instantaneously positive or negative in sign has an extremely important influence on the results. Positive feedback reinforces and negative feedback moderates the original process. "Positive" and "negative" in this sense refer to loop gains greater than or less than zero, and do not imply any value judgements as to the desirability of the outcomes or effects. A key feature of positive feedback is thus that small disturbances get bigger. When a change occurs in a system, positive feedback causes further change, in the same direction. A

neg: Brodie abscess tibia, proximal tibia, distal femur, proximal or distal fibula, and distal radius. Oval, elliptical, or serpentine radiolucency usually greater than 1 cm surrounded by a heavily reactive sclerosis, granulation tissue, and a nidus often less than 1 cm. The margins often appear scalloped on radiograph. Brodie's abscess is best visualized using Computed tomography (CT) scan. Associated atrophy of soft tissue near the site of infection and shortening of the affected bone. Osteoblastoma may be a classic sign for Brodie's abscess. Mainly surgical approach has to be taken. If cavity is small then surgical evacuation & curettage is performed under antibiotic

neg: Piecewise Piecewise functions are defined using the common functional notation, where the body of the function is an array of functions and associated subdomains. Crucially, in most settings, there must only be a "finite" number of subdomains, each of which must be an interval, in order for the overall function to be called "piecewise". For example, consider the piecewise definition of the absolute value function: For all values of "x" less than zero, the first function (−"x") is used, which negates the sign of the input value, making negative numbers positive. For all values of "x" greater than or equal to

neg: Restless & Dead in Blue Hill Studios, Linköping, Sweden. The album is in the style of thrash metal, though with some use of black metal and death metal aesthetics. These additions to the thrash metal template are less noticeable than in Satanic Slaughter and give the album a distinctive sound, that combination of styles being a rarity when the album was recorded. This album introduces the distinctive Witchery "W", a sign that the band mascot Ben Wrangle shows on the front cover and also on the CD itself. The "W" is a misappropriation of the "devil horns" hand gesture invented by Ronnie James

neg: Rally raid the motorcycle (moto) class, the car class, ranging from buggies to SUVs, and the T4 & T5 truck class. The Moto class is divided between three groups. Group 1 is Marathon bikes, which are mildly modified production motorcycles, subdivided between engines of greater and less than . Group 2 is Super-Production bikes, which are more substantially modified than Marathon bikes, subdivided between engines of greater and less than 451 cc. Group 3 is reserved for quads, and is subdivided between engines of greater and less than 500 cc. Popular motorcycles include those made by KTM and Yamaha because many of

neg: FOCAL-69 G) jumps program execution to the specified line number. From the editor, the GO command can also be used to start the program from the beginning (or from the specified line number). The IF command (abbreviation I) provides a conditional branch based on the sign of the expression. After the numeric expression, the IF command can take one to three line numbers. If the expression is less than zero, execution branches to the first line number; if equal to zero, to the second line number; if greater than zero, to the third line number. The language lacked relative operators such

neg: Brahmagupta's interpolation formula century CE) commentary as follows: This formula was originally stated for the computation of the values of the sine function for which the common interval in the underlying base table was 900 minutes or 15 degrees. So the reference to 900 is in fact a reference to the common interval . Brahmagupta's method computation of "shutabhogyakhanda" can be formulated in modern notation as follows: The ± sign is to be taken according to whether is less than or greater than , or equivalently, according to whether or . Brahmagupta's expression can be put in the following form: This correction factor

neg: Sign (mathematics) integers, rationals, complex numbers, quaternions, ... may have multiple attributes, that fix certain properties of a number. If a number system bears the structure of an ordered ring, like, for example, the integers, it must contain a number that does not change any number when it is added to it (an additive identity element). This number is generally denoted as Because of the total order in this ring, there are numbers greater than zero, called the "positive" numbers. For other properties, required within a ring, for each such positive number there exists a number less than which, when added to

neg: Usage-based insurance auto insurance companies to institute a Pay-As-You-Drive (PAYD) program in the United States back in 2004. The National General Insurance Low-Mileage Discount is an innovative program offered to OnStar subscribers in 34 states, where those who drive less pay less on their auto insurance. This opt-in program is the first of its kind leveraging state-of-the-art technology using OnStar to allow customers who drive fewer miles to benefit from substantial savings. Eligible active OnStar subscribers sign up to save on their premiums if they drive less than 15,000 miles annually. Subscribers who drive even less than that can save even more

neg: Jaundice compared by the magnitude of their differences, not the pure number, as well as by their ratios. The AST:ALT ratio can be a good indicator of whether the disorder is alcoholic liver damage (above 10), some other form of liver damage (above 1), or hepatitis (less than 1). Bilirubin levels greater than 10x normal could indicate neoplastic or intrahepatic cholestasis. Levels lower than this tend to indicate hepatocellular causes. AST levels greater than 15x tends to indicate acute hepatocellular damage. Less than this tend to indicate obstructive causes. ALP levels greater than 5x normal tend to indicate obstruction, while levels

neg: Divorce parents who move more than an hour away from their children after a divorce are much less well off than those parents who stayed in the same location Divorce is associated with diminished psychological well-being in children and adult offspring of divorced parents, including greater unhappiness, less satisfaction with life, weaker sense of personal control, anxiety, depression, and greater use of mental health services. A preponderance of evidence indicates that there is a causal effect between divorce and these outcomes. A study in Sweden led by the Centre for Health Equity Studies (Chess) at Stockholm University/Karolinska Institutet, is published in

neg: Impedance analogy quantity. The mechanical analogy of a transformer is a simple machine such as a pulley or a lever. The force applied to the load can be greater or less than the input force depending on whether the mechanical advantage of the machine is greater or less than unity respectively. Mechanical advantage is analogous to transformer turns ratio in the impedance analogy. A mechanical advantage greater than unity is analogous to a step-up transformer and less than unity is analogous to a step-down transformer. The figure shows a mechanical arrangement of a platform of mass "M" that is suspended above the

neg: NBA salary cap salary should be based on basketball value, not trade value). A BYC player's trade value as outgoing salary is 50% of his new salary, or his previous salary, whichever is greater. BYC applies only to players who re-sign with their previous team and receive a raise greater than 20%. It also applies only when (and as long as) the team is over the salary cap. Since the 2011 CBA, players subject to BYC cannot be traded before January 15 except in a sign-and-trade, and BYC is only applied to outgoing salary in sign-and-trade deals. NBA teams can release a player

neg: Body and Brain Connection that last only for a few minutes. Some of the games include a math game which requires the player to make hand motions in either a "greater than" or "less than" sign and a game which makes the user kick a ball into the goal with the right answer for a math question. Multiplayer is included with the game. "Body and Brain Connection" received mostly mixed reviews from critics; it received a 57.5% from GameRankings. GameSpot's Chris Watters called the game "shallow and flawed" for its lack of content, but noted that it successfully used Kinect in a "novel way".

neg: Classification of childhood weight obese. For the CDC, a BMI greater than the 85th percentile but less than the 95th percentile is considered overweight, and a BMI of greater than or equal to the 95th percentile is considered obese. WHO parameters for BMI-for-age parameters are defined by standard deviations and describe overweight to be greater than +1standard deviation from the mean (equivalent to BMI=25 kg/m2 at 19 years) and obese as +2 standard deviations from the mean for 5 to 19 year-olds (equivalent to BMI=30 kg/m2 at 19 years). Furthermore, over the past years obesity rates have dramatically increased worldwide. Statistics from across the

neg: Doing a Leeds was less dramatic than that of Wolves, as they had spent just four seasons in the First Division and not been as successful or spent as much money on players. However, the decline of Wolverhampton Wanderers was widely seen as the culmination of decades of financial mismanagement rather than an extreme amount of short-term spending as was the case with Leeds. Wolves had paid a national record fee of nearly £1.5million to sign striker Andy Gray from Aston Villa in 1979, while spending an even greater sum of money of rebuilding one side of the ground to create a large

neg: Time-weighted return return greater than that in the Simple Dietz method. In this case, the Modified Dietz return is less than the Simple Dietz return. If the second purchase is later than halfway through the overall period, the gain, which is 5 dollars, is still the same, but the average capital is less than the start value plus half the net inflow, making the denominator of the Modified Dietz return less than that in the Simple Dietz method. In this case, the Modified Dietz return is greater than the Simple Dietz return. No matter how late during the period the second purchase

neg: Periodic continued fraction is said to be "reduced" if formula_9 and its conjugate formula_10 satisfies the inequalities formula_11. For instance, the golden ratio formula_12 is a reduced surd because it is greater than one and its conjugate formula_13 is greater than −1 and less than zero. On the other hand, the square root of two formula_14 is greater than one but is not a reduced surd because its conjugate formula_15 is less than −1. Galois proved that the regular continued fraction which represents a quadratic surd ζ is purely periodic if and only if ζ is a reduced surd. In fact, Galois showed

neg: Base oil to 0.03 percent sulfur and have a viscosity index greater than or equal to 80 and less than 120". The best grade of petroleum base oil, since they are fully produced by Hydrocracking, which make these oils purer. API defines group III as "base stocks contain greater than or equal to 90 percent saturates and less than or equal to 0.03 percent sulfur and have a viscosity index greater than or equal to 120". This group may be described as Synthetic Technology oils or Hydro-Cracked Synthetic oil. However, some oil companies may call their products under this group as synthetic

neg: Sign language own, native sign language, and some have more than one. The 2013 edition of Ethnologue lists 137 sign languages. Some sign languages have obtained some form of legal recognition, while others have no status at all. Linguists distinguish natural sign languages from other systems that are precursors to them or derived from them, such as invented manual codes for spoken languages, home sign, "baby sign", and signs learned by non-human primates. Groups of deaf people have used sign languages throughout history. One of the earliest written records of a sign language is from the fifth century BC, in Plato's "Cratylus",

neg: Lenition the phonological position of the consonant . The opposite of lenition, fortition, a sound change that makes a consonant "stronger", is less common. Lenition involves changes in manner of articulation, sometimes accompanied by small changes in place of articulation. There are two main lenition pathways: opening and sonorization. In both cases, a stronger sound becomes a weaker one. Lenition can be seen as a movement on the sonority hierarchy from less sonorous to more sonorous, or on a strength hierarchy from stronger to weaker. In examples below, a greater-than sign indicates that one sound changes to another. The notation >

neg: Design predicates complexity plus one, this integration would require 3 tests. In one, where someNumber isn't greater than 0, unit B isn't called. In another, where someNumber is 1, unit B is called once. And in the final, someNumber is greater than 1, unit B is called more than once. Design predicates Design predicates are a method invented by Thomas McCabe, to quantify the complexity of the integration of two units of software. Each of the four types of design predicates have an associated integration complexity rating. For pieces of code that apply more than one design predicate, integration complexity ratings can

neg: Existential quantification and less than 1" is symbolically stated: This can be demonstrated to be false. Truthfully, it must be said, "It is not the case that there is a natural number "x" that is greater than 0 and less than 1", or, symbolically: If there is no element of the domain of discourse for which the statement is true, then it must be false for all of those elements. That is, the negation of is logically equivalent to "For any natural number "x", x is not greater than 0 and less than 1", or: Generally, then, the negation of a propositional

neg: Median of medians are smaller than their respective medians, which are smaller than the pivot. Thus, each of the "n"/10 groups have at least 3 elements that are smaller than the pivot. Similarly, in each of the "n"/10 groups with median greater than the pivot, there are two elements that are greater than their respective medians, which are greater than the pivot. Thus, each of the "n"/10 groups have at least 3 elements that are greater than the pivot. Hence, the pivot is less than 3("n"/10) elements and greater than another 3("n"/10) elements. Thus the chosen median splits the elements somewhere between 30%/70%

neg: Weak heap is safely greater than all of the ancestor's previous children. The previous ancestor, however, is not a safe parent for the first root's old children, because it is less than the first root and so it's not guaranteed to be greater than or equal to all of its children. By swapping the binary children, the appropriate subset of the demoted ancestor's old children (which are safely less than or equal to it) are demoted with it. The demoted ancestor's new siblings are the first root's old children, promoted, which are safely less than or equal to the promoted first root.

neg: Ordinal collapsing function formula_1, and for canonical values the greater formula_1 always trumps the lesser or even arbitrary sums, products and exponentials of the lesser). For example, formula_351 is a canonical notation for an ordinal which is less than the Feferman–Schütte ordinal: it can be written using the Veblen functions as formula_352. Concerning the order, one might point out that formula_163 (the Feferman–Schütte ordinal) is much more than formula_354 (because formula_3 is greater than formula_1 of anything), and formula_354 is itself much more than formula_358 (because formula_359 is greater than formula_3, so any sum-product-or-exponential expression involving formula_162 and smaller value will remain less

neg: Untradable assets the CAPM beta is smaller than 1 and vice versa. Thus, it is expected that the risk premium will be greater than predicted by the CAPM for securities with a beta less than one and smaller for securities with a beta greater than 1. This results in a less steep security market line (SML). The ratio of formula_14 may be greater than one and thus likely has a significant economic effect. This may be an explanation for the average negative alpha of high-beta securities and positive alpha of low-beta securities that have been empirically found. Second, in the adjusted CAPM,

neg: Steering ratio theoretical turning radius based on ideal tire behavior and the actual turning radius based on real tire behavior. Values less than one, where the front wheel side slip is greater than the rear wheel side slip, are described as under-steering; equal to one as neutral steering; and greater than one as over-steering. Values less than zero, in which the front wheel must be turned opposite the direction of the curve due to much greater rear wheel side slip than front wheel have been described as counter-steering. Steering ratio Steering ratio refers to the ratio between the turn of the steering

neg: Trousseau sign of latent tetany Trousseau sign of latent tetany Trousseau sign of latent tetany is a medical sign observed in patients with low calcium. From 1 to 4 percent of normal patients will test positive for Trousseau's sign of latent tetany. This sign may be positive before other manifestations of hypocalcemia such as hyperreflexia and tetany, as such it is generally believed to be more sensitive (94%) than the Chvostek sign (29%) for hypocalcemia. To elicit the sign, a blood pressure cuff is placed around the arm and inflated to a pressure greater than the systolic blood pressure and held in place for 3

neg: Safety pin cover on the safety pin makes it less likely to hurt someone, a version was invented specially for use with babies' nappies, the nappy pin. This is larger and stronger than the typical safety pin. Modern nappy pins have the sliding cap to lock the pin. While the cover on the safety pin makes it less likely to hurt someone, a version was invented especially for use with babies' diapers, the diaper pin. This is larger and stronger than the typical safety pin. Modern diaper pins have either a sliding cap to lock the pin or a S shaped channel