Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

where a ¹ 0 and b is a constant called the base of the exponential function. b > 0 and b ¹ 1 x is the independent variable. It is the exponent of the constant, b. Thus exponential functions have a ...

We study solutions to the stochastic fixed point equation $X\stackrel{d}{=}AX+B$ when the coefficients are nonnegative and $B$ is an “inverse exponential decay ...

Abstract: To determine the strength-stress system's reliability, an N cascade system involving P (X > Y) is used in this paper. For a Function, X is proposed with respect to the strength on which ...

In this work the matrix exponential function is solved analytically for the special orthogonal groups up to . The number of occurring k-th matrix powers gets limited to by exploiting the ...