Exponential Function
On a more accurate half discrete Hardy Hilbert type inequality related to the kernel of exponential function
... of exponential function with a best possible constant factor expressed by the gamma function is given, which is similar to () and an extension of () in the following particular ...
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Majorization problems for two subclasses of analytic functions connected with the Liu–Owa integral operator and exponential function
... lated to an exponential function. The results obtained generalize and unify the theory of majorization in geometric function theory. In addition, we notice that, if we put p = 1 and α = 1, β = δ in ...
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OPEN PROBLEMS IN MATHEMATICAL MODELLING AND PHYSICAL EXPERIMENTS. EXPLORING EXPONENTIAL FUNCTION
... the exponential function has large applications and it is used by many non physicians and non mathematicians, ...the exponential function will be explained starting from physical experiments ...
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On the Generalized Favard Kantorovich and Favard Durrmeyer Operators in Exponential Function Spaces
... Nowak, “Direct theorems for generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces,” to appear in Ukrainian Mathematical Journal.. Stadtmüller, “On[r] ...
12
A Generalization of the Exponential Function to Model Growth
... q are determined for each of three segments ( i = 1 to 3), as explained in the text, and the continuous function determined with (16). Top right: Only the relationship between quantity and logarithmic relative ...
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LEARNERS’ VIEWS ON ASYMPTOTES OF A HYPERBOLA AND EXPONENTIAL FUNCTION: A COMMOGNITIVE APPROACH
... The work of the participants reflected the second type of mathematically unacceptable responses when they presented the equation in terms of the p and q parameters. Participant C presented his answer for the asymptote as ...
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Monotonicity and Logarithmic Convexity for a Class of Elementary Functions Involving the Exponential Function
... J. Chen, A complete monotonicity property of the gamma function, J. Guo, Complete monotonicities of functions involving the gamma and digamma. functions, RGMIA Res. Chen, Some completely[r] ...
11
New bounds for the exponential function with cotangent
... holds for all x ∈ (0, π /2). Since then, many inequalities for cotangent function were estab- lished by different ideas and methods; see e.g. [2–18]. Very recently, Lv, Yang, Luo, and Zheng [19] gave a new type of ...
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Algorithm on relation between Gamma function and Sine/Cosine function, Exponential Function
... Deriving a relation between gamma function trigonometry function (sine or cos) using complex number approach... Since this is in contradiction what we started with i.e[r] ...
5
Mathematical Neurolaw of Crime and Punishment: The q Exponential Punishment Function
... (i.e., exponential, simple hy- perbolic, and q-exponential models) in terms of odds against = 1/probability − 1 (proportional to waiting time until the realization of punishment in repeated crimes) by ...
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Exponential Functions
... If a tree dies to become wood, the amount of carbon in it decreases by 0.0121% every year. Scientists measure how much carbon is in something that died, and use the exponential function f (x) = (0.999879) x ...
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On the exponential generating function for non-backtracking walks
... by summing the number of distinct walks from node i to all nodes in the graph, with walks of length r discounted by t r in the resolvent case and by t r /r! in the exponential case. The resolvent version dates ...
19
Generalized Exponential Euler Polynomials and Exponential Splines
... Using Proposition 1.1, [18] derives many properties of B-spline and Euler-Frobenius polynomials readily from the corresponding properties of Eulerian polynomials and Eulerian numbers, and vice versa. Applications in ...
8
Generalized Exponential-Cum-Exponential Estimator in Adaptive Cluster Sampling
... The exponential estimators for two auxiliary variables are efficient as compared to other ...The exponential ratio-cum-ratio estimator t 14 gave maximum percentage relative efficiency which increases with ...
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Bayesian Estimation of Reliability Function for A Changing Exponential Family Model under Different Loss Functions
... of exponential and poisson variables are investigated by Worsley (1986); Haccou, Meelis and Geer (1988); Estimation of shift point in a homogeneous poisson process studied by Jandhyala and Fotopolus (1999) and ...
6
Analysis of the Properties of a Third Order Convergence Numerical Method Derived via the Transcendental Function of Exponential Form
... Abstract: This paper proposes a new numerical method for the solution of the Initial Value Problems (IVPs) of first order ordinary differential equations. The new scheme has been derived via the transcendental ...
7
Predator Population Dynamics Involving Exponential Integral Function When Prey Follows Gompertz Model
... where x is population size or density of prey; y is population size or density of predator communities in the system. Here we assume r to be a relative growth rate function which is positive valued function ...
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Approximations and inequalities for the exponential beta function
... MSC: 26D15 Keywords: Beta function; Gamma function; Taylor’s formula; Analytic inequalities; Log-convexity; Global convexity.. 1 Introduction The ability to accurately predict the client[r] ...
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Chapter 8. The exponential family: Basics. 8.1 The exponential family
... In this section we point out a simple relationship between the maximum likelihood problem and the KL divergence. This relationship is general; it has nothing to do specifically with the exponential family. We ...
17
Exponential & Logarithmic Equations
... an exponential equation whose unknown quantity is x, the first step is to make the equation look like a f (x) = c where f (x) is some function, and a and c are ...
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