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Questions and Answers
What is the Laplace transform used for in science and engineering?
What is the Laplace transform used for in science and engineering?
- Solving linear differential equations (correct)
- Converting algebraic equations to differential equations
- Solving quadratic equations
- Converting complex variables to real variables
Who is the Laplace transform named after?
Who is the Laplace transform named after?
- Pierre-Simon Laplace (correct)
- Thomas Bromwich
- Niels Henrik Abel
- Mathias Lerch
What did Laplace write extensively about in 1814?
What did Laplace write extensively about in 1814?
- Generating functions (correct)
- Convolution
- Algebraic equations
- Probability theory
Who further developed the theory of the Laplace transform in the 19th and early 20th centuries?
Who further developed the theory of the Laplace transform in the 19th and early 20th centuries?
When did the widespread use of the Laplace transform in engineering come about?
When did the widespread use of the Laplace transform in engineering come about?
What is the Laplace transform used for in mathematics?
What is the Laplace transform used for in mathematics?
Who is the Laplace transform named after?
Who is the Laplace transform named after?
What is the Laplace transform similar to in Laplace's work on probability theory?
What is the Laplace transform similar to in Laplace's work on probability theory?
When did the widespread use of the Laplace transform in engineering come about?
When did the widespread use of the Laplace transform in engineering come about?
Who further developed the theory of the Laplace transform in the 19th and early 20th centuries?
Who further developed the theory of the Laplace transform in the 19th and early 20th centuries?
Which mathematician and astronomer is the Laplace transform named after?
Which mathematician and astronomer is the Laplace transform named after?
What type of equations does the Laplace transform help to solve?
What type of equations does the Laplace transform help to solve?
Who gave little attention to the continuous variable case of the Laplace transform?
Who gave little attention to the continuous variable case of the Laplace transform?
Which integral transform converts a function of a real variable to a function of a complex variable?
Which integral transform converts a function of a real variable to a function of a complex variable?
Which mathematician wrote extensively about the use of generating functions and contributed to the evolution of the integral form of the Laplace transform?
Which mathematician wrote extensively about the use of generating functions and contributed to the evolution of the integral form of the Laplace transform?