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The trigonometric functions (especially sine and cosine) for real or complex square matrices occur in solutions of second-order systems of differential...

trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of...

\mathbb {C} } . This function takes on all complex values except for 0 and is closely related to the complex trigonometric functions, as shown by Euler's...

every analytic function can be used for defining a matrix function that maps square matrices with complex entries to square matrices of the same size....

Trigonometric functions of matrices – Important functions in solving differential equations Trigonometric integral – Special function defined by an integral...

exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems of linear differential equations...

potentially useful tool, giving a parameterization of most rotation matrices without trigonometric functions. In three dimensions, for example, we have (Cayley...

This is how inverse trigonometric functions are defined in terms of trigonometric functions, where the trigonometric functions are monotonic. Another...

business-related careers, such as matrices, or power functions. A standard course considers functions, function composition, and inverse functions, often in connection...

does not rely on the exponential function or any trigonometric functions; the definition is in terms of an integral of a simple reciprocal. As an integral...

for inverse functions / §537. Powers of trigonometric functions". A History of Mathematical Notations. Vol. 2 (3rd corrected printing of 1929 issue, 2nd ed...

traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles. Spherical trigonometry is of great importance for calculations...

a number of ways of defining the ordinary Euclidean geometric trigonometric functions on real numbers, for example right-angled triangle definitions...

List of matrices List of numbers List of relativistic equations List of small groups Mathematical constants Sporadic group Table of bases Table of Clebsch-Gordan...

terms of the sequence of principal (upper-leftmost) minors (determinants of sub-matrices) of the Hessian; these conditions are a special case of those...

that matrices represent linear maps. Therefore, the associative property of matrices is simply a specific case of the associative property of function composition...

classical definitions of functions break down. For example, using Taylor series, one may extend analytic functions to sets of matrices and operators, such...

difference between such a function and a finite Fourier series. Trigonometric polynomials are widely used, for example in trigonometric interpolation applied...

probability density function is a class of probability density functions on the real line. The class contains the density functions of all distributions...

exponentiation, but modification of a function. Examples (particularly with trigonometric and hyperbolic functions) include: cos 3 ⁡ ( x ) {\displaystyle...