Results 281 to 290 of about 160,624 (315)
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1966
Publisher Summary This chapter discusses the concept of Laplace transforms. In applying the method of Laplace transforms to the initial value problem, three main steps are undertaken. The first step transforms a hard problem into a relatively easy problem. Then the easy problem is solved by finding X.
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Publisher Summary This chapter discusses the concept of Laplace transforms. In applying the method of Laplace transforms to the initial value problem, three main steps are undertaken. The first step transforms a hard problem into a relatively easy problem. Then the easy problem is solved by finding X.
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1988
Publisher Summary This chapter discusses Laplace transforms. Solution of most electrical circuit problems can be reduced ultimately to the solution of differential equations. The use of Laplace transforms provides an alternative method for solving linear differential equations.
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Publisher Summary This chapter discusses Laplace transforms. Solution of most electrical circuit problems can be reduced ultimately to the solution of differential equations. The use of Laplace transforms provides an alternative method for solving linear differential equations.
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1999
In diesem Kapitel fuhren wir eine weitere Methode zur Losung von Anfangswertproblemen ein, die insbesondere bei linearen Differentialgleichungen mit konstanten Koeffizienten einsetzbar ist. So wie man durch Logarithmieren positiver reeller Zahlen die Rechenoperationen Multiplizieren und Potenzieren sowie die Umkehroperationen Dividieren und ...
Helmut Wegmann +3 more
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In diesem Kapitel fuhren wir eine weitere Methode zur Losung von Anfangswertproblemen ein, die insbesondere bei linearen Differentialgleichungen mit konstanten Koeffizienten einsetzbar ist. So wie man durch Logarithmieren positiver reeller Zahlen die Rechenoperationen Multiplizieren und Potenzieren sowie die Umkehroperationen Dividieren und ...
Helmut Wegmann +3 more
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Introduction to the Laplace Transform
1993Publisher Summary This chapter provides an overview of the Laplace transform. It presents a list of Laplace transforms of frequently used functions. The Laplace transform has many operational properties. Apart from these operational properties, the chapter highlights additional frequently used properties of the Laplace transform as well.
Martha L. Abell, James P. Braselton
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2020
The Laplace transform is a linear operation that can be performed on functions of a single variable. For electronics, the transformation is taken from the time domain (the single variable is t) to the “s-domain” where s is a generalized complex frequency.
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The Laplace transform is a linear operation that can be performed on functions of a single variable. For electronics, the transformation is taken from the time domain (the single variable is t) to the “s-domain” where s is a generalized complex frequency.
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1965
In Part I we confined our attention to the use of the Laplace transform to continuous functions. We now consider discontinuous functions.
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In Part I we confined our attention to the use of the Laplace transform to continuous functions. We now consider discontinuous functions.
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2009
Although the Fourier transform has been shown to be a useful tool in a variety of applications, there are others for which it is not particularly well suited. Generally these other applications involve initial value problems for which the auxiliary data are prescribed at t=0 .
Bhimsen K. Shivamoggi, Larry C. Andrews
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Although the Fourier transform has been shown to be a useful tool in a variety of applications, there are others for which it is not particularly well suited. Generally these other applications involve initial value problems for which the auxiliary data are prescribed at t=0 .
Bhimsen K. Shivamoggi, Larry C. Andrews
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1995
Publisher Summary This chapter focuses on Laplace transformation. The chapter defines the Laplace transform and reviews its basic properties. The Dirac delta function δ(x) and the Laplace transform pairs are also reviewed. The Dirac delta function δ(x) is particularly useful when working with the Laplace transform.
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Publisher Summary This chapter focuses on Laplace transformation. The chapter defines the Laplace transform and reviews its basic properties. The Dirac delta function δ(x) and the Laplace transform pairs are also reviewed. The Dirac delta function δ(x) is particularly useful when working with the Laplace transform.
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2010
This chapter presents the main properties and applications of the Laplace transform. One important applicative strength of the Laplace method is the conversion of linear ordinary differential equations (ODE) into algebraic equations by means of the direct Laplace transform, which enables calculation of the transformed solution with relative ease ...
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This chapter presents the main properties and applications of the Laplace transform. One important applicative strength of the Laplace method is the conversion of linear ordinary differential equations (ODE) into algebraic equations by means of the direct Laplace transform, which enables calculation of the transformed solution with relative ease ...
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2006
With the advent of television and radar during the Second World War, the behavior of wideband amplifiers in the time domain has become very important [Ref. 1.1]. In today’s digital world this is even more the case. It is a paradox that designers and troubleshooters of digital equipment still depend on oscilloscopes, which — at least in their fast and ...
Peter Starič, Erik Margan
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With the advent of television and radar during the Second World War, the behavior of wideband amplifiers in the time domain has become very important [Ref. 1.1]. In today’s digital world this is even more the case. It is a paradox that designers and troubleshooters of digital equipment still depend on oscilloscopes, which — at least in their fast and ...
Peter Starič, Erik Margan
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