x without a name More meanings for sine nomine. Alle weiteren Informationen findest du im Haupteintrag sin. More modern definitions express the sine as an infinite series, or as the solution of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers. The basic relationship between the sine and the cosine can also be expressed as the Pythagorean trigonometric identity:[2]. The graph shows both the sine function and the sine squared function, with the sine in blue and sine squared in red. 2 Γ The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle (the hypotenuse). This integral is an elliptic integral of the second kind. The actions are so obvious … ( Sine definition at Dictionary.com, a free online dictionary with pronunciation, synonyms and translation. [15][16] Gerard was probably not the first scholar to use this translation; Robert of Chester appears to have preceded him and there is evidence of even earlier usage. sin(z) is found in the functional equation for the Gamma function. {\displaystyle \blacksquare }. {\displaystyle z\in \mathbb {C} } d ) nameless adjective: sine nomine: without name: sine nomine: anonymous adjective: sine nomine, clancularius, anonymus: unnamed adjective: sine nomine, incelebratus, indictus: Find more words! θ The chord function was discovered by Hipparchus of Nicaea (180–125 BCE) and Ptolemy of Roman Egypt (90–165 CE). cot sine mea sententia {adv} ohne mich zu fragen: sine mea sententia {adv} ohne nach meiner Meinung zu fragen: sine pernicie corporis: ohne Schädigung des Körpers: sine ulla spe: ohne jede Hoffnung: 4 Wörter: sine ira et studio: ohne Hass und Parteilichkeit: sine loco et anno > … α With modern CPU architectures this method may offer no advantage. Introduction: In this article, Mary Harrell-Sesniak explains some of the old terms—many of them derived from Latin—that genealogists encounter during their family history research.Mary is a genealogist, author and editor with a strong technology background. z ( Complex sine functions are also available within the cmath module, e.g. We all went on Monday Evening to the sea shore, to see the sceneDrawn: thi… Borrowed from Latin sinus (“curve, bend; bosom”), a translation of Arabic جَيْب (jayb, “bosom”), a misidentification of the notation جب (jb), written without vowel diacritics, standing for Arabic جِيبَ (jība, “sine”), in turn from Sanskrit ज्या (jyā, “sine, chord, bowstring”) through the similar Sanskrit जीव (jīva, “sine, chord, life, existence”). cos A legislative body adjourns sine die when it adjourns without appointing a day on which to appear or assemble again. n For arguments outside those in the table, one may compute the corresponding information by using the periodicity = It can understand almost all Latin inflections and implements a ranking system that gets you the best results first. θ RES IPSA LOQUITUR Latin meaning the action speaks for itself. appear a lot more frequently in literature than the mathematical term "sine." Without the intention of returning. f 1 3 opposite ) . sin(1022). [10][11] Muhammad ibn Jābir al-Harrānī al-Battānī (853–929) discovered the reciprocal functions of secant and cosecant, and produced the first table of cosecants for each degree from 1° to 90°.[11]. sine m (oblique plural sines, nominative singular sines, nominative plural sine). ) b . The following table documents how sine can be expressed in terms of the other common trigonometric functions: For all equations which use plus/minus (±), the result is positive for angles in the first quadrant. 1 {\displaystyle {\tfrac {\sin(\theta )}{\cos(\theta )}}} In general, mathematically important relationships between the sine and cosine functions and the exponential function (see, for example, Euler's formula) are substantially simplified when angles are expressed in radians, rather than in degrees, grads or other units. Most of the examplea given are uses of the unrelated Latin word "sine," meaning "without." sine (stressed reflexive-accusative form of el, ea, ei, and ele), sine f (genitive singular sine, plural sinean). π z (pathology) An abnormal cavity or passage such as a fistula, caused by the destruction of tissue. {\displaystyle y=\sin(\theta )} More meanings for sine. θ → {\displaystyle {\frac {\pi }{2048}}} ( {\displaystyle \sin x} z 2 Some still refer the si-in sine to this root, others refer it to Proto-Indo-European *só ("this") (whence si ("if")). adjacent {\sqrt {1+\cos ^{2}(x)}}\,dx} z ) . The CORDIC algorithm is commonly used in scientific calculators. This is an entire function. Unless otherwise stated, the content of this page is licensed under Creative Commons Attribution-ShareAlike 3.0 License Christian hamartiology describes sin as an act of offense against God by despising his persons and Christian biblical law, and by injuring others. The first published use of the abbreviations 'sin', 'cos', and 'tan' is by the 16th century French mathematician Albert Girard; these were further promulgated by Euler (see below). y ) Γ = x Sine definition: a trigonometric function that in a right-angled triangle is the ratio of the length of... | Meaning, pronunciation, translations and examples Many other trigonometric functions are also defined in math.h, such as for cosine, arc sine, and hyperbolic sine (sinh). The accuracy advantage stems from the ability to perfectly represent key angles like full-turn, half-turn, and quarter-turn losslessly in binary floating-point or fixed-point. Let a line through the origin intersect the unit circle, making an angle of θ with the positive half of the x-axis. = In site translation mode, Yandex.Translate will translate the entire text content of the site at the URL you provide. 3. A variant dental-stem declension can also be found. 2 involves inaccuracies in representing n {\displaystyle x=\pi } en "A thousand troopers, Tiridates said, ""would be his escort; what force of every kind was to be with Corbulo, he did not prescribe, provided they came in peaceful fashion, without breastplates and helmets."" α n π I actually don't want it to refer to a tattoo in the translation. sine f (genitive singular sine, nominative plural siní). cos ( ) z ( ∞ sin . ( can be written in closed form using special functions, but it is perhaps more instructive to write the decimal approximations of the Fourier coefficients. {\textstyle f={\frac {1}{2}}\ln(1-z^{2}/n^{2})+C_{1}} f 2 sine. A similar series is Gregory's series for arctan, which is obtained by omitting the factorials in the denominator. 1 converges uniformly on any closed disk, ( The sine function can also be represented as a generalized continued fraction: The continued fraction representation can be derived from Euler's continued fraction formula and expresses the real number values, both rational and irrational, of the sine function. ( when 0° < θ < 90°, even under the new definition using the unit circle. n ∞ 1 Kent, Comm. These apply for all values of How to use sine die in a sentence. The length of the opposite side of the triangle is simply the y-coordinate. = {\textstyle \lim _{z\to 0}\prod _{n=1}^{\infty }\left(1-{\frac {z^{2}}{n^{2}}}\right)=1} , or, equivalently, as the slope of the line segment. {\textstyle \lim _{z\to 0}{\frac {\sin(\pi z)}{z}}=\pi } such that the emerged series converges is [3], All six trigonometric functions in current use were known in Islamic mathematics by the 9th century, as was the law of sines, used in solving triangles. A table of some of these values is given below. ( z a 1 Similarly, Python defines math.sin(x) within the built-in math module. cos (anatomy) A channel for transmitting venous blood. π 2 sin Sine Die [Latin, Without day.] z | π {\displaystyle \mathbb {C} } What does sine mean in Latin? n ( In trigonometry, a unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system. sin From Old Irish sine (“old age, seniority, antiquity”), from sen (“old”). {\textstyle {\frac {df}{dz}}={\frac {z}{z^{2}-n^{2}}}} 1. π π cos hypotenuse 1 {\displaystyle {\frac {\pi }{2}}} (botany) A notch or depression between two lobes or teeth in the margin of an organ. [19] lim Since A simple and powerful online Latin dictionary This dictionary was built to bring the power of William Whitaker's Words into an easy-to-use online interface. {\displaystyle f} For example, the C standard library defines sine functions within math.h: sin(double), sinf(float), and sinl(long double). The function of this preposition was previously done with the use of sē, sēd (see sē-, sed), from Proto-Indo-European *swé (“self”), thus meaning "by itself", "without". [1] As sine is non-injective, it is not an exact inverse function, but a partial inverse function. {\displaystyle \textstyle {\sum _{n=1}^{\infty }|a_{n}(z)|}} e sin can be decomposed as, Setting What does sine nomine mean in Latin? ( − The function of sine and versine (1 - cosine) can be traced to the jyā and koṭi-jyā functions used in Gupta period (320 to 550 CE) Indian astronomy (Aryabhatiya, Surya Siddhanta), via translation from Sanskrit to Arabic and then from Arabic to Latin. In contrast, representing Learn sine in English translation and other related translations from Latin to English. Animation showing how the sine function (in red) hypotenuse without preposition. Thus cognate with Ancient Greek ἄτερ (áter, “without”), Old English sundor. {\displaystyle 2\pi } ( tan(θ) is then defined as sine (Latin)Origin & history I The function of this preposition was previously done with the use of sē, sēd (see sē-, sed), from Proto-Indo-European *swé ("self"), thus meaning "by itself", "without". ( ◼ sin 4 It is also sometimes useful to express the complex sine function in terms of the real and imaginary parts of its argument: Using the partial fraction expansion technique in complex analysis, one can find that the infinite series, both converge and are equal to {\displaystyle \sin(\alpha +360^{\circ })=\sin(\alpha )} The following table gives basic information at the boundary of the quadrants. The word sine defined here is the mathematical one, derived from the Latin "sinus." Human translations with examples: near, money, without, pecuniary, i need money, without money, money is evil. {\displaystyle \theta } converges uniformly on any closed disk as well. Word of the day - in your inbox every day January 15, 2021. The Opus palatinum de triangulis of Georg Joachim Rheticus, a student of Copernicus, was probably the first in Europe to define trigonometric functions directly in terms of right triangles instead of circles, with tables for all six trigonometric functions; this work was finished by Rheticus' student Valentin Otho in 1596. When only one value is desired, the function may be restricted to its principal branch. Bitte nimm Ergänzungen deshalb auch nur dort vor. ( For example, an angle sensor may count from 0 to 4096 over one complete revolution. Cosecant gives the ratio of the length of the hypotenuse to the length of the opposite side:[1]. {\displaystyle \ln(\sin(\pi z))+C_{0}} When the Arabic texts were translated in the 12th century into Latin by Gerard of Cremona, he used the Latin equivalent for "bosom", sinus (which means "bosom" or "bay" or "fold"). [20]. , the sine function is denoted simply as The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle (the hypotenuse). ∈ 0 Name Sine Categories. Throughout history, terms come and terms go—and thankfully for most people, archaic … It follows that the infinite product is holomorphic on − This can lead to different results for different algorithms, especially for special circumstances such as very large inputs, e.g. = Computing modulo 1 turn or modulo 2 half-turns can be losslessly and efficiently computed in both floating-point and fixed-point. Zero is the only real fixed point of the sine function; in other words the only intersection of the sine function and the identity function is sin(0) = 0. {\displaystyle e^{C}=\pi } ", https://en.wikipedia.org/w/index.php?title=Sine&oldid=998140059, Short description is different from Wikidata, Wikipedia articles needing clarification from August 2019, Articles lacking reliable references from August 2019, Articles with unsourced statements from October 2012, Creative Commons Attribution-ShareAlike License, This page was last edited on 4 January 2021, at 00:45. Product for the Gamma function open and connected subset of C { \mathbb... Depression between two lobes or teeth in the following table gives basic at!, e.g ( of a cow ) ” ), English spean ( “ teat ( of a )... Translation mode, Yandex.Translate will translate the entire text content of the.. Results first paranasal sinus. the Gamma function number as an argument, Python defines (... 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