“Laplace transform”的意思、由来-百科全书

Laplace transform

mathematics

in mathematics, a particular integral transform invented by the French mathematician Pierre-Simon Laplace (Laplace, Pierre-Simon, marquis de) (1749–1827), and systematically developed by the British physicist Oliver Heaviside (Heaviside, Oliver) (1850–1925), to simplify the solution of many differential equations (differential equation) that describe physical processes. Today it is used most frequently by electrical engineers in the solution of various electronic circuit problems.

The Laplace transform f(p), also denoted by L{F(t)} or Lap F(t), is defined by the integral

involving the exponential (exponential function) parameter p in the kernel K=e^−pt. The linear Laplace operator L thus transforms each function F(t) of a certain set of functions into some function f(p). The inverse transform F(t) is written L⁻¹{f(p)} or Lap⁻¹f(p).

词条	Laplace transform
释义	Laplace transform mathematics in mathematics, a particular integral transform invented by the French mathematician Pierre-Simon Laplace (Laplace, Pierre-Simon, marquis de) (1749–1827), and systematically developed by the British physicist Oliver Heaviside (Heaviside, Oliver) (1850–1925), to simplify the solution of many differential equations (differential equation) that describe physical processes. Today it is used most frequently by electrical engineers in the solution of various electronic circuit problems. The Laplace transform f(p), also denoted by L{F(t)} or Lap F(t), is defined by the integral involving the exponential (exponential function) parameter p in the kernel K=e^−pt. The linear Laplace operator L thus transforms each function F(t) of a certain set of functions into some function f(p). The inverse transform F(t) is written L⁻¹{f(p)} or Lap⁻¹f(p).
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