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...f the [[harmonic oscillator (classical)|harmonic oscillator]]s is given by sine-type functions, so that the time derivatives of the ''Q''_''t'''s ...ential equations are easily solved yielding the ''Q''_''t'''s as sine-type functions of time, see the article on [[harmonic oscillator (classical

...integral]]s of entire functions, for example the [[error function]] erf, [[sine integral]] Si and the [[Bessel function]] ''J''₀ are also entire

* Epistole sine nomine

...ellium, sed magnitudine paulo antecedunt mutilaeque sunt cornibus et crura sine nodis articulisque habent neque quietis causa procumbunt neque, si quo adfl

...and winning elections. Although a competitive party system is considered a sine qua non of modern [[democracy]], parties operate in many [[authoritarianism

The exponential is related to the [[trigonometric function]]s [[sine]] and [[cosine]] by ''[[de Moivre]]'s formula'':

...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 pro

...e obtained [[associated Legendre functions]] for ''m'' = 1 (linear in the sine of latitude angle). Legendre submitted his results to the [[Académie des

...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'').

Numerical Recipes in C. Fast Sine and Cosine transform.

...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</math

...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 mediator

and so are [[sine]], [[cosine]] and the [[exponential function]].

...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 t

..., i.e., &alpha;(''t'') linear in time ''t'', it follows that the EMF has a sine dependence on time and an [[alternating current]] will be induced.

...to &minus;''x''. There are several functions known to have this property (sine, cosine, exponent with imaginary argument), we choose fairly arbitrarily th

In similar way, 0 is fixed point of [[sine]] function, because <math>\sin(0)=0</math>.

...directly across the straits from Messana, and was comprised of citizens ''sine suffragio'' (citizens without voting rights) from Capua. Soon after the Mam

...s, fan fiction, martyrdom and war. As scripture, the Hebrew Bible is the ''sine qua non'' of [[Judaism]] and sacred to [[Christianity|Christians]]. As [[li

...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 funct