Cryptanalysis of “A New Method of Cryptography Using Laplace Transform”

2014 ◽  
pp. 539-546
Author(s):  
Praneesh Gupta ◽  
Prasanna Raghaw Mishra
Keyword(s):  
Laplace Transform ◽  
New Method

scholarly journals Analytical Approximation to the Solution of Nonlinear Blasius’ Viscous Flow Equation by LTNHPM

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Hossein Aminikhah
Keyword(s):  
Laplace Transform ◽  
Viscous Flow ◽  
Numerical Method ◽  
Perturbation Methods ◽  
Analytical Approximation ◽  
High Accuracy ◽  
Flow Equation ◽  
New Method ◽  
Homotopy Perturbation

Laplace transform and new homotopy perturbation methods are adopted to study Blasius’ viscous flow equation analytically. The solutions approximated by the proposed method are shown to be precise as compared to the corresponding results obtained by Howarth’s numerical method. A high accuracy of the new method is evident.

A Note on the Laplace Transform

1976 ◽  
Vol 13 (3) ◽  
pp. 241-255 ◽  
Author(s):  
T. W. Brady
Keyword(s):  
Laplace Transform ◽  
Complex Variable ◽  
Integral Operators ◽  
New Method ◽  
Partial Fraction ◽  
Convolution Integral ◽  
Linear Combinations ◽  
Partial Fraction Expansion ◽  
The Laplace Transform

A new method of obtaining inverse transforms is suggested, which shows some advantages over partial fraction expansion methods. It uses linear combinations of the complex variable ‘ s’ as differential or integral operators; it also uses properties which a transform and its derivatives possess at the origin of time. The convolution integral is used for some difficult inversions.

scholarly journals A New Efficient Method for Nonlinear Fisher-Type Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Hossein Aminikhah ◽  
Farshid Mehrdoust ◽  
Ali Jamalian
Keyword(s):  
Laplace Transform ◽  
Closed Form ◽  
Efficient Method ◽  
Perturbation Methods ◽  
High Accuracy ◽  
The Other ◽  
New Method ◽  
Combined Method ◽  
Homotopy Perturbation

Laplace transform and new homotopy perturbation methods are adopted to study Fisher-type equations analytically. The solutions introduced in this study can be used to obtain the closed form of the solutions if they are required. The combined method needs less work in comparison with the other homotopy perturbation methods and decreases volume of calculations considerably. The method is tested on various examples, and results show that new method is more effective and convenient to use, and high accuracy of it is evident.

scholarly journals On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers’ Equation

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 417 ◽  
Author(s):  
Hassan Eltayeb ◽  
Imed Bachar ◽  
Adem Kılıçman
Keyword(s):  
Laplace Transform ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Existence Condition ◽  
New Method ◽  
One Dimensional ◽  
Double Laplace Transform ◽  
Adomian Decomposition ◽  
Laplace Decomposition Method ◽  
Coupled Burgers Equation

In the present work we introduced a new method and name it the conformable double Laplace decomposition method to solve one dimensional regular and singular conformable functional Burger’s equation. We studied the existence condition for the conformable double Laplace transform. In order to obtain the exact solution for nonlinear fractional problems, then we modified the double Laplace transform and combined it with the Adomian decomposition method. Later, we applied the new method to solve regular and singular conformable fractional coupled Burgers’ equations. Further, in order to illustrate the effectiveness of present method, we provide some examples.

scholarly journals LSV-Based Tail Inequalities for Sums of Random Matrices

2017 ◽  
Vol 29 (1) ◽  
pp. 247-262 ◽  
Author(s):  
Chao Zhang ◽  
Lei Du ◽  
Dacheng Tao
Keyword(s):  
Machine Learning ◽  
Laplace Transform ◽  
Random Matrices ◽  
Singular Value ◽  
Diagonal Matrix ◽  
New Method ◽  
Learning Models ◽  
The Matrix ◽  
Diagonalization Method ◽  
Machine Learning Models

The techniques of random matrices have played an important role in many machine learning models. In this letter, we present a new method to study the tail inequalities for sums of random matrices. Different from other work (Ahlswede & Winter, 2002 ; Tropp, 2012 ; Hsu, Kakade, & Zhang, 2012 ), our tail results are based on the largest singular value (LSV) and independent of the matrix dimension. Since the LSV operation and the expectation are noncommutative, we introduce a diagonalization method to convert the LSV operation into the trace operation of an infinitely dimensional diagonal matrix. In this way, we obtain another version of Laplace-transform bounds and then achieve the LSV-based tail inequalities for sums of random matrices.

scholarly journals Numerical inversion of the Laplace transform

2005 ◽  
Vol 18 (3) ◽  
pp. 515-530 ◽  
Author(s):  
Gradimir Milovanovic ◽  
Aleksandar Cvetkovic
Keyword(s):  
Laplace Transform ◽  
Numerical Investigation ◽  
Gaussian Quadrature ◽  
New Method ◽  
Quadrature Rules ◽  
Numerical Inversion ◽  
Short Account ◽  
The Laplace Transform ◽  
Real Poles

We give a short account on the methods for numerical inversion of the Laplace transform and also propose a new method. Our method is inspired and motivated from a problem of the evaluation of the M?ntz polynomials (see [1]), as well as the construction of the generalized Gaussian quadrature rules for the M?ntz systems (see [2]). As an illustration of our method we consider an example with 100 real poles distributed uniformly on of the proposed method. 1 2 100. A numerical investigation shows the efficiency.

The extinction time of a general birth and death process with catastrophes

1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell
Keyword(s):  
Laplace Transform ◽  
Size Distribution ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Death Process ◽  
Extinction Time ◽  
Birth And Death Process ◽  
Different Types ◽  
The Laplace Transform ◽  
Necessary And Sufficient

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj> 0 for eachj> 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.

Selective Sampling and Orientation of Non-Homogeneous Tissues

1968 ◽  
Vol 26 ◽  
pp. 98-99
Author(s):  
C. C. Clawson ◽  
L. W. Anderson ◽  
R. A. Good
Keyword(s):  
Electron Microscopy ◽  
Electron Microscope ◽  
Light Microscopy ◽  
Random Sampling ◽  
New Method ◽  
Microscope Examination ◽  
Small Areas ◽  
Selective Sampling ◽  
Large Numbers ◽  
Specific Orientation

Investigations which require electron microscope examination of a few specific areas of non-homogeneous tissues make random sampling of small blocks an inefficient and unrewarding procedure. Therefore, several investigators have devised methods which allow obtaining sample blocks for electron microscopy from region of tissue previously identified by light microscopy of present here techniques which make possible: 1) sampling tissue for electron microscopy from selected areas previously identified by light microscopy of relatively large pieces of tissue; 2) dehydration and embedding large numbers of individually identified blocks while keeping each one separate; 3) a new method of maintaining specific orientation of blocks during embedding; 4) special light microscopic staining or fluorescent procedures and electron microscopy on immediately adjacent small areas of tissue.

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