If we know the failure rate function of a system, λ s(t), we can determine its reliability over the considered time interval ( t 1 → t 2) by using the General Equation for Reliability, namely: R 5(t 1→t 2)=ex
We have been given a graph of an exponential function and two points lying on it. To find the functions generally, we satisfy the equation with the points given and then solve for the values of constants. Answer and Explanation: We will assume the functi...
The two plots above use trigonometric functions, exponential function can produce some interesting images, too, like this one:- The equation of this curve is simply:- s(x) = 1/x−1/x^3+1/x^5−1/x^7+1/^9 I just fiddle with these equations to produce new images. For instance, ...
Function Graphs | Types, Equations & Examples from Chapter 16 / Lesson 11 650K Explore different types of graphs of functions. Learn the general equation of common functions. Understand how to find the associated function of a graph. Related...
The Forchheimer equation, Equation (1), contemplates a wide range of flow regimes: nonlinear laminar, turbulent transition, and fully developed turbulent flow, which make it more suitable than the exponential Equation (2) to represent the physical phenomenon of filtration in porous media. However, ...
Calculus: “Equation of the tangent line to a function”. How to use the derivative of a function at a point to find the equation of the tangent line to the function at that point video Calculus: “Implicit differentiation”. “dy/dx” notation for derivatives. Applying the chain rule us...
The first is the assumption that an outcome variable y has a distribution that belongs to the exponential family. This family of distributions includes the normal, binomial, Poisson and gamma distributions as special cases. (In practice, one specifies which of these distributions will be assumed.)...
A Heat-Kernel Integrals to the Second Order of CPTH - Mass Term Regularisation The exponential function in f (τ ) in (18) (which in the following we call If ) can be expanded formally in a series If = ∞ (−1)n cn n! nd ds n=0 1 Γ(s) ∞τ s+ne−m2τ dτ 0 , s...
The functional equation for the exponential (3) corresponds to ν 1 =ν 2 in our solution and the exponential comes wholly from G. Particular cases of (4) have been studied in [8] and we shall determine (see Lemma 4) the general solution to (4) as an application of our work. More...
This research focuses on exploring the exponential H∞ stability of general conformable nonlinear system. In order to address the nonlinearity inherent in the system, a polynomial fuzzy (PF) method is employed. Modeling a general conformable nonlinear system within the polynomial framework reduces the ...