Y = cosh(X) returns the hyperbolic cosine of the elements of X. The cosh function operates element-wise on arrays. The function accepts both real and complex inputs.

在 數學 中， 雙曲餘弦 是一種 雙曲函數，是 雙曲幾何 中，與歐幾里得幾何的 餘弦函數 相對應的函數。 雙曲餘弦一般以cosh表示 [1]，在部分較舊的文獻中有時會以 表示。 [2] 雙曲餘弦可以 …

If X is a diagonal matrix, sin X and cos X are also diagonal matrices with (sin X) nn = sin(X nn) and (cos X) nn = cos(X nn), that is, they can be calculated by simply taking the sines or …

2016年12月22日 · Define the hyperbolic of a matrix $A$ as $\cosh(A)=I+\frac{A^2}{2!}+\frac{A^4}{4!}+\cdots$. Does there exist a complex matrix of order …

Cosh 是双曲余弦函数，是三角学中普遍使用的 Cos 圆函数的双曲类比. 对于实数变量它的定义如下：设 是三条线 轴、从原点出发的射线以及单位双曲线 围成的封闭区域面积的两倍，则 …

2022年6月22日 · Show that for every $x\in\mathbb {R}$, $$e^ {Ax}=\cosh (x)I_ {n}+\sinh (x)A$$. Attempt: $$\begin {align*} e^ {xA}&=\begin {pmatrix} \sum_ {i...

Cosh is the hyperbolic cosine function, which is the hyperbolic analogue of the Cos circular function used throughout trigonometry. It is defined for real numbers by letting be twice the …

2019年5月2日 · Since Σ is a symmetric positive definite matrix, you can decompose it as: Σ =Q ⋅Λ ⋅QT. With Q an orthonormal matrix (Q ⋅QT = I) and Λ diagonal with only strict positive diagonal …

To find the hyperbolic cosine of a square matrix \[A\] (we can only find the cosh, or indeed any function of a matrix if it is square), first write down the Mclaurin series for

COSH (x) returns the hyperbolic cosine of the angle x. The argument x must be expressed in radians. To convert degrees to radians you use the RADIANS function. The argument x can …