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- ...tant in all branches of science and technology. It is possible to define sine and cosine in different ways. Two ways, one based on plane geometry and o ===Definition of sine and cosine in plane geometry===19 KB (3,106 words) - 09:53, 10 October 2013
- 26 bytes (4 words) - 17:10, 24 October 2008
- 174 bytes (28 words) - 19:26, 4 September 2009
- 26 bytes (4 words) - 05:16, 21 October 2008
- 819 bytes (126 words) - 10:08, 31 October 2008
- 146 bytes (26 words) - 05:11, 18 October 2008
Page text matches
- #REDIRECT [[sine]]18 bytes (2 words) - 05:24, 7 November 2008
- #REDIRECT [[sine]]18 bytes (2 words) - 05:27, 7 November 2008
- {{r|Hyperbolic sine}} {{r|Hyperbolic sine integral}}2 KB (260 words) - 08:13, 9 December 2009
- ...f sines''' (also known as '''sine rule''') relates in a [[triangle]] the [[sine]]s of the three angles and the lengths of their opposite sides, {{Image|Sine rule.png|right|300px|Fig. 2. '''Sine rule:''' sinα:sinβ:sinγ=a:b:c}}3 KB (502 words) - 12:32, 11 June 2009
- Infinite series whose terms are constants multiplied by sine and cosine functions and that can approximate a wide variety of periodic fu181 bytes (25 words) - 16:58, 12 January 2010
- A mathematical rule that for a small angle expressed in radians, its sine and tangent are approximately equal to the angle.159 bytes (24 words) - 05:09, 22 February 2011
- *[http://www.geocities.com/SiliconValley/Garage/3323/aat/a_sin.html Sine and cosine function ] with an implementation in Rexx.365 bytes (54 words) - 02:21, 25 November 2009
- ...atio of two of the sides of a right triangle that contains that angle; the sine, cosine, tangent, cotangent, secant, and cosecant.206 bytes (32 words) - 20:34, 4 September 2009
- ...is a rule that says that for small angles, the [[trigonometric function]]s sine and tangent are approximately equal to the angle. The approximation is vali ...approximation is the first-order [[Taylor series|Maclaurin series]] of the sine function about the value zero. Recall Maclaurin's theorem:2 KB (368 words) - 20:13, 29 January 2022
- {{r|Sine wave}}532 bytes (70 words) - 07:07, 11 October 2009
- ...and the ''x''-axis.{{Image|unit_circle.jpg|left|200px|The relation of the sine and cosine and the unit circle.}}2 KB (298 words) - 22:10, 14 December 2020
- {{r|Sine}}535 bytes (68 words) - 18:22, 11 January 2010
- :''See [[sine|sin]] for the mathematical function.''743 bytes (118 words) - 14:35, 10 August 2020
- {{r|Sine}}636 bytes (82 words) - 19:49, 11 January 2010
- {{r|Sine}}763 bytes (99 words) - 17:28, 11 January 2010
- {{r|Sine}}879 bytes (114 words) - 03:09, 8 March 2024
- ...>cos(x)</math>. The other trigonometric functions can be constructed using sine, cosine, and the elementary operations. It is a remarkable thing that the sine and cosine functions can be defined from the exponential function when it i8 KB (1,289 words) - 13:46, 26 May 2009
- {{r|Sine}}1,019 bytes (129 words) - 03:09, 8 March 2024
- ...igonometry]] tells us that the [[sine]] of a 30° angle is 1/2, whereas the sine of a 90° angle is 1. Therefore, the sunbeam hitting the ground at a 30°2 KB (404 words) - 10:27, 26 September 2007
- ...ed as the product of the lengths of two adjacent sides multiplied by the [[sine]] of the angle between the sides.896 bytes (150 words) - 23:59, 8 March 2009
- |[[Sine]] |[[Hyperbolic sine]]8 KB (1,184 words) - 14:58, 8 December 2009
- ...en the two starting waves. To demonstrate the simplest case, between two [[sine wave]]s of equal [[amplitude]]: ...ession above (it can be said, the cosine factor is an ''envelope'' for the sine wave), whose frequency is (''f''<sub>1</sub>+''f''<sub>2</sub>)/2, that is,4 KB (724 words) - 14:52, 2 October 2021
- ...ngles]], the angle C, opposite the [[hypotenuse]] (c), is 90 degrees. The sine of 90 degrees is 1, so the equation reduces to:1 KB (183 words) - 22:18, 6 December 2009
- ...the reciprocal of the cosine, the '''cosecant''' is the reciprocal of the sine, and the '''cotangent''' is the reciprocal of the tangent.4 KB (637 words) - 16:32, 24 November 2008
- multiplied by the [[sine]] of the angle between the sides.1 KB (194 words) - 03:12, 20 November 2009
- *The [[sine]] of 1 radian is 0.841 470 985...1 KB (188 words) - 16:39, 13 November 2007
- {{r|Sine}}2 KB (247 words) - 06:00, 7 November 2010
- ...umption for survival, survival manifested as [[reproductive success]], a ''sine qua non'' of evolution by means of [[natural selection]].2 KB (309 words) - 21:53, 19 June 2010
- ...tant in all branches of science and technology. It is possible to define sine and cosine in different ways. Two ways, one based on plane geometry and o ===Definition of sine and cosine in plane geometry===19 KB (3,106 words) - 09:53, 10 October 2013
- ...respect to the requirement that for a counterinsurgency to succeed, the ''sine qua non'' is to see the government as legitimate. This is especially compl2 KB (334 words) - 16:53, 12 March 2024
- ...nvelopes.png|right|150px|Top and bottom envelope functions for a modulated sine wave.}} ...ing its extremes in amplitude.<ref name=Johnson/> The figure illustrates a sine wave varying between an upper and a lower envelope. The envelope function m12 KB (1,810 words) - 11:41, 18 June 2012
- Numerical Recipes in C. Fast Sine and Cosine transform. ...g the only antisimmetric modes can be performed with the [[DST]] (Discrete sine transform).8 KB (1,204 words) - 18:09, 8 September 2020
- | '''Sine''' The earliest use of sine appears in the ''[[Sulba Sutras]]'' written in [[History of India|ancient I33 KB (5,179 words) - 08:26, 4 June 2010
- ...decompose it into its constituent frequencies. The main idea is to employ sine and cosine functions of a continuous range of frequencies (in fact from <ma3 KB (547 words) - 07:21, 24 December 2008
- ...rned. He famously declared that the vernacular with "without any rules" (''sine omnia regula''), by which of course he meant written, codified rules as tau3 KB (494 words) - 22:34, 4 January 2011
- ...mathematical objects. Examples of elementary functions include the [[sine|sine function]] and the [[logarithmic function]], which (denoting their argument ...plane]]. Given either of the non-right angles (which we call ''x''), the ''sine of x'' equals the ratio between the side opposite to the angle and the side15 KB (2,342 words) - 06:26, 30 November 2011
- ...or '''asign''', or '''arcsin''' is [[holomorphic function]], inverse of [[sine|sin]].5 KB (731 words) - 10:07, 2 December 2013
- Numerical Recipes in C. Fast Sine and Cosine transform.6 KB (884 words) - 18:03, 8 September 2020
- Cosine- and sine-type regular [[solid harmonics]] (normalized to unity) can be defined by th ...es, the cosine-type functions contain the factor cos |''m''| φ and the sine-type functions sin |''m''| φ. Hence the name. It is of some interest t15 KB (2,490 words) - 12:23, 19 April 2009
- ...the particle, the intensity ''B'' of the [[magnetic induction]], and the [[sine]] of the angle between the [[vector]]s '''v''' and '''B'''. The ''direction5 KB (833 words) - 21:31, 26 March 2022
- ...f the [[harmonic oscillator (classical)|harmonic oscillator]]s is given by sine-type functions, so that the time derivatives of the ''Q''<sub>''t''</sub>'s ...ential equations are easily solved yielding the ''Q''<sub>''t''</sub>'s as sine-type functions of time, see the article on [[harmonic oscillator (classical13 KB (1,996 words) - 10:52, 3 November 2021
- ...integral]]s of entire functions, for example the [[error function]] erf, [[sine integral]] Si and the [[Bessel function]] ''J''<sub>0</sub> are also entire6 KB (827 words) - 14:44, 19 December 2008
- * Epistole sine nomine4 KB (639 words) - 13:19, 6 August 2017
- ...ellium, sed magnitudine paulo antecedunt mutilaeque sunt cornibus et crura sine nodis articulisque habent neque quietis causa procumbunt neque, si quo adfl4 KB (697 words) - 14:54, 5 March 2010
- ...and winning elections. Although a competitive party system is considered a sine qua non of modern [[democracy]], parties operate in many [[authoritarianism6 KB (865 words) - 17:48, 21 July 2009
- The exponential is related to the [[trigonometric function]]s [[sine]] and [[cosine]] by ''[[de Moivre]]'s formula'':6 KB (1,021 words) - 12:18, 11 June 2009
- ...sical phenomena that are essential to his study. Reduction is a ''conditio sine qua non'' in the explanation of observations and is essential for the pro7 KB (1,068 words) - 11:41, 21 November 2009
- ...e obtained [[associated Legendre functions]] for ''m'' = 1 (linear in the sine of latitude angle). Legendre submitted his results to the [[Académie des6 KB (854 words) - 09:52, 24 July 2011
- ...ion excludes the function sinωt, because the first derivative of the sine is the cosine which is not zero at ''t'' = 0. Hence the time function is of and that the sine function is odd, sin(−''u'') = −sin(''u'').17 KB (2,899 words) - 02:27, 24 March 2010
- Numerical Recipes in C. Fast Sine and Cosine transform.11 KB (1,680 words) - 18:00, 8 September 2020
- ...ng|thumb|250px|Outcome of Newton's method applied to finding a root of the sine function. Initial values near 0 (blue) lead to 0 while initial values near .... If we start with <math>x_0</math> close to <math>\pi/2</math>, where the sine curve is horizontal, <math>x_1</math> may end up close to <math>n \pi</math17 KB (2,889 words) - 12:40, 11 June 2009
- ...that there is increasing resistance to the idea of "loyal opposition", a ''sine qua non'' of democracy. I am alarmed by the idea of an ostensible mediator7 KB (1,126 words) - 08:03, 2 March 2011
- and so are [[sine]], [[cosine]] and the [[exponential function]].9 KB (1,434 words) - 15:35, 7 February 2009
- ...al of the Hohner piano through the filter, and modulated the filter with a sine-wave LFO. This made the filter rise and fall rapidly, creating a shifting t6 KB (993 words) - 07:33, 18 March 2024
- ..., i.e., α(''t'') linear in time ''t'', it follows that the EMF has a sine dependence on time and an [[alternating current]] will be induced.9 KB (1,549 words) - 12:18, 11 June 2009
- ...to −''x''. There are several functions known to have this property (sine, cosine, exponent with imaginary argument), we choose fairly arbitrarily th11 KB (1,757 words) - 11:17, 11 September 2021
- In similar way, 0 is fixed point of [[sine]] function, because <math>\sin(0)=0</math>.10 KB (1,562 words) - 07:20, 13 November 2013
- ...directly across the straits from Messana, and was comprised of citizens ''sine suffragio'' (citizens without voting rights) from Capua. Soon after the Mam9 KB (1,453 words) - 12:37, 26 September 2007
- ...s, fan fiction, martyrdom and war. As scripture, the Hebrew Bible is the ''sine qua non'' of [[Judaism]] and sacred to [[Christianity|Christians]]. As [[li9 KB (1,381 words) - 15:55, 12 August 2020
- ...een the gamma function of positive and negative numbers. The division by a sine, which is periodically zero, again indicates the existence of the gamma fun ...lection formulas, using only a few multiplications or an evaluation of the sine in the reflection formula. Listings of [[polynomial]]s and [[rational funct32 KB (5,024 words) - 12:05, 22 December 2008
- We used here the relations well-known from [[trigonometry]] for the sine and cosine of a sum angle.16 KB (2,502 words) - 12:28, 24 March 2010
- ...aying what they called a 'three-tone sinusoidal replica', or a complicated sine wave sound, they found that people were able to perceive speech, when in fa10 KB (1,605 words) - 12:42, 11 July 2023
- ...|Modulated wave.png|right|150px|A modulated wave resulting from adding two sine waves of nearly identical wavelength and frequency.}} which uses the trigonometric formula for the addition of two sine waves, and the approximation Δλ<<λ:34 KB (5,178 words) - 10:12, 28 February 2024
- ...e is no particle! The other way to satisfy this equality is to have the [[sine]] term vanish, which will happen if16 KB (2,810 words) - 11:31, 5 April 2011
- ...ion's belief that the conflict in Korea could be part of a wider war, only sine of the increase would go to direct support of the conflict in Korea. ...ion's belief that the conflict in Korea could be part of a wider war, only sine of the increase would go to direct support of the conflict in Korea.25 KB (3,805 words) - 22:34, 14 June 2009
- ...full and unconditional support of the Palestinian people is a condition [[sine qua non]] for activists to adopt, and we recognise that their attachment to13 KB (1,992 words) - 01:26, 27 March 2024
- ...s task is called ''complete''. Such basis sets are a generalization of the sine and cosine functions used in [[Fourier series]] to a wider set of functions17 KB (2,678 words) - 10:12, 9 May 2011
- The sine and cosine functions are not [[one-to-one function|one-to-one]] and hence n19 KB (3,039 words) - 12:51, 7 March 2023
- ...the fixed point ''z'' as a function of time ''t'', we see the same type ([[sine]]-type) function as in figure 1. The number of times per second that the ve25 KB (3,994 words) - 17:54, 17 April 2010
- ...common form of transposon in [[human]]s is the [[Alu sequence]], a form of SINE. The [[Alu sequence]] is approximately 300 bases long and about 1000 copies18 KB (2,605 words) - 07:29, 9 June 2009
- ...ultimately, a continuous-wave transmitter — one that produced a pure sine-wave signal on a single frequency — would be far more efficient, part18 KB (2,698 words) - 06:40, 17 November 2007
- ...opagate posteriorly, giving the overall shape of a posteriorly propagating sine wave. In addition, all snakes are capable of [[concertina movement]]. This19 KB (2,977 words) - 14:24, 8 March 2024
- ...hich the denominator is unity. With this formula for the derivative of the sine, the radius of curvature becomes:37 KB (6,109 words) - 17:53, 8 October 2021
- The following expression defines real spherical harmonics of cosine and sine type respectively:34 KB (5,282 words) - 14:21, 1 January 2011
- ...s believe that an Afghan perception of its government is legitimate is a ''sine qua non'' for anything else, and irregularities in the 2009 Afghanistan pre24 KB (3,559 words) - 07:36, 18 March 2024
- ...al to the object's speed, to the frame's rate of rotation, and also to the sine of the angle between the object's direction of movement and the frame's axi31 KB (5,049 words) - 11:55, 17 October 2021
- ...of the experiments on the auditory system have been performed with simple sine wave stimuli. Other experiments which have claimed to investigate the effec25 KB (3,720 words) - 17:01, 21 March 2024
- ...s. His nearest pronouncement seems to be ''Numquam ponenda est pluralitas sine necessitate'', which occurs in his theological work on the ''Sentences'' of31 KB (4,648 words) - 05:07, 26 October 2013
- ...power units that produce a [[square wave]] pattern instead of the normal [[sine wave]], making rapid zero crossings possible and minimizing the effects of41 KB (6,367 words) - 05:51, 12 September 2013
- ...anistan]], where development of a respected police force is considered a ''sine qua non'' for successful [[counterinsurgency]].50 KB (7,291 words) - 14:04, 1 April 2024
- ==The fundamental units and processes of living things: the '''''sine qua non'''''==150 KB (22,449 words) - 05:42, 6 March 2024
- In other words, '''''sine qua non''''' of the activity of living.194 KB (28,649 words) - 05:43, 6 March 2024