With the help of the modified generalized exponential rational function method, which is an important instrument in obtaining traveling wave solutions, both the propagating wave solutions and general form solutions of coupled Higgs system are presented. These solutions are examined under some restrictive ...
As the name suggests the exponential growth models represent growth with time. We can use such models where time is the primary factor for growth. For example, the interest on the invested money.Answer and Explanation: The general form of an exponential growth model: $$\bf{y = y_o e^...
The inverse function of the exponential function given by f(x) = a^x is called the ___ function with base a. Find the equation for the exponential function f(x) = ba^x that passes through the points (0, 4) and (1, 13). Calculate g'(x) for t...
If delayed rewards are discounted at a constant rate per unit of time spent waiting, their perceived value decays according to an exponential function. For example, if an immediate reward loses half of its value when it is delayed by 5 min, one delayed by 10 min should be half as valuable...
This chapter describes the construction of the plane indicator diagram for an entire function f of finite order ρ > 0 and with indicator h of variable sign. In particular, it will be shown that in the case of a finite indicator h of general form the loc
Mittag–Leffler function As a generalization of the exponential function, Mittag- Leffler function always exists in the solution of FO differen- tial equations [33]. Consider a two-parameter Mittag-Leffler function, whose power series is defined as [31]: ∞ xk Eα,β (x) = k=0 Γ (αk...
Derivatives of power functions, constant functions, polynomials, root functions, and the natural exponential function (ex) video Calculus: “Product and quotient rules for differentiation”. The product and quotient rules for differentiation. Derivatives of trigonometric functions video Calculus: “...
The exponential function in the softmax operation is taken to better reflect the degree of contribution. b Comparison of diagnostic accuracy among three GMA beginners with or without MAM’s assistance. Source data are provided as a Source Data file. Full size image In clinical practice, the ...
This expression is general in the sense that no assumption is made beforehand about the actual form of the system-environment Hamiltonian or the state that is being repeat- edly prepared. The effective decay rate of the quantum state can thereby be controlled by suitably engineering the spectral...
In this paper, a PF controller is designed in the form of sum of squares (SOS) to enhance the resilience against perturbations and ensure the exponential stability of the proposed model. The proposed SOS can be solved numerically, and partially symbolically, using the recently developed SOSTOOLS....