[PDF] Top 20 The stability of functional equation min{f(x + y), f(x y)} = |f(x) f(y)|
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The stability of functional equation min{f(x + y), f(x y)} = |f(x) f(y)|
... Let f : ℝ ® ℝ be a continuous function satisfying Equation ...that f(x) = c|x|, x Î ℝ , or f is periodic with period 2p given by f(x) = c|x| with some ... See full document
6
Four Steps Continuous Method for the Solution of y″= f (x, y, y′)
... This paper proposes a continuous block method for the solution of second order ordinary differential equation. Colloca- tion and interpolation of the power series approximate solution are adopted to derive a ... See full document
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Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy
... Look for a solution of the recurrence inequality 4.3b of the form s.. Substitution of the inequality 4.5 in the inequality 4.3b.[r] ... See full document
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On the Stability of Quadratic Functional Equation
... In this paper the stability of quadratic functional equation, f(xy)+f(xy -1 )=2f(x)+2f(y) on class of groups is obtained and also prove that quadratic functional [r] ... See full document
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Understanding Probability
... Definition 11.1 The continuous random variables X and Y are said to have a joint probability density function f x, y if the joint cumulative probability distribution function PX :Sa, Y :[r] ... See full document
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α Derivations and their norm in projective tensor products of Γ Banach algebras
... z, eV and y,’s are a’- idempotent i lfD is a derivation on V,F Rp V’,F’ such that D ,Y_.x, R y, elements of V’, then there exists an a’-derivation D on V defined by the rule ,Dx R y= D x[r] ... See full document
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On Intuitionistic Fuzzy π Generalized Semi Continuous Mappings
... Let f : (X, τ) (Y, ) be an IFG continuous ...in Y. Since f is an IFG continuous mapping, f -1 (A) is an IFGCS in ...GSCS, f -1 (A) is an IF GSCS in X. Hence ... See full document
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Some Remarks on Perturbation Classes of Semi Fredholm and Fredholm Operators
... from X into Y ...If X = Y , (X) : = (X,X) is a closed two-sided ideal of ᏸ (X) containing (X) and if X is a separable Hilbert space, then ... See full document
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Semi Star Alpha Open Sets and Associated Functions
... Definition 3.1: A function f :X⟶Y is said to be semi*αcontinuous at xX if for each open set V of Y containing fx, there is a semi*α-open set U in X such that xU and fU⊆V.. Then the fol[r] ... See full document
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IJCSMC, Vol. 7, Issue. 2, February 2018, pg.80 – 88 A Deterministic Approach for Disease Prediction in Plants using Deep Learning
... function, f(x, y), where x and y are spatial coordinates, and amplitude off at any pair of coordinates (x, y) is called the intensity or grey level of the image at that ... See full document
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The Matrix Equation F(A)X - XA = O
... be assumed to be in diagonal form with the eigenvalues of X ordered such that equal eigenvalues are adjacent on the diagonal.. ,k is the ordering of the eigenva[r] ... See full document
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A Review on Point Spread Function Estimation TechniquesRitesh Pawar, Dr. Maitreyee Dutta
... in equation (2). True image is represented as F(x, y) in given equation, this image is able to seen as blurred image by the help of the image degradation system which is represented in ... See full document
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Properties of the function f(x)=x/π(x)
... k=2 f (k) and n k=2 1/f (k), where f (k) = k/π (k), k ≥ ...+ y) − f (x) − f (y) for integers x, y ≥ 2 and as an application we make several remarks in ... See full document
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Shear Bloch waves and coupled phonon-polariton in periodic piezoelectric waveguides
... First we consider the propagation of elasto-electromagnetic coupled SH waves in a one dimensional infinite piezoelectric waveguide of hexagonal symmetry class. The problem will be considered in the framework of the full ... See full document
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𝑊𝜃𝑔 Closed and 𝑊𝛿𝑔 Closed in [𝟎,𝟏] Topological Spaces
... Let f : X, τ → Y, Δ and g : Y, Δ → Z, Ω be two fuzzy ...◦ f is fuzzy Wδg-continuous if g is fuzzy continuous and f is fuzzy Wδg-continuous, ii g ◦ f is fuzzy ... See full document
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A Robust Estimator of R = P(X > Y ) of Heavy tailed Distributions and its Sampling Distributions
... Stress-strength model describes the life of a compo- nent which has a random strength (X), subject to ran- dom stress (Y). The component fails at the instant that the stress applied to it exceeds the ... See full document
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Z = {(f, X, t): (f, X, t) F × X × T , z(f, X, t) = (•X, •t)}, I is the set of inputs,Oi s the set of outputs,
... In addition to using the idea of sub-system functions, i.e., sub-FSA, for complex software it is better to divide the process of system induction into sub-system(s) and main-system induction. Sub-system induction must be ... See full document
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Intuitionist Fuzzy almost Generalized Semi pre Closed Mappings
... The respective complements of the above IFCSs are called their respective IFOSs.The family of all IFSCSs, IFPCSs, and IFαCSs ( respectively IFSOSs, IFPOSs and IFαOSs ) of an IFTS (X,τ) are respectively denoted by ... See full document
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Continuity of the maps f↦∪x∈Iω(x,f) and f↦{ω(x,f):x∈I}
... In part of the sequel we will restrict our attention to a closed subset E of C(I ,I) com- posed of those functions f having zero topological entropy, denoted by h( f ) = 0. The reader is referred to [11, ... See full document
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On the convergence of xn=f(xn−2,xn−1) when f(x,y)<x
... satisfying R(a, b) = L. In fact, there is a B > such that if b ≥ B then R(x, b) = and S(x, b) > for any x. In order to show this, let us put h(u, v) = v–f (u, v) and let z = {(u, ... See full document
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