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The Dirac delta function, often represented as , is a mathematical object (not technically a function) that is defined as which has the integral for all . It is also the derivative of the Heaviside function, which can be written as It can be defined as the limit of a normal distribution as it gets steeper and steeper, or the limit as of the function It has the Laplace transform for . The Dirac delta function is often used in differential equations to approximate physical actions that take place over very short time intervals, such as a bat striking a ball. The 3D Dirac delta function, defined as

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  • Dirac delta function
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  • The Dirac delta function, often represented as , is a mathematical object (not technically a function) that is defined as which has the integral for all . It is also the derivative of the Heaviside function, which can be written as It can be defined as the limit of a normal distribution as it gets steeper and steeper, or the limit as of the function It has the Laplace transform for . The Dirac delta function is often used in differential equations to approximate physical actions that take place over very short time intervals, such as a bat striking a ball. The 3D Dirac delta function, defined as
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  • The Dirac delta function, often represented as , is a mathematical object (not technically a function) that is defined as which has the integral for all . It is also the derivative of the Heaviside function, which can be written as It can be defined as the limit of a normal distribution as it gets steeper and steeper, or the limit as of the function It has the Laplace transform for . The Dirac delta function is often used in differential equations to approximate physical actions that take place over very short time intervals, such as a bat striking a ball. The 3D Dirac delta function, defined as is useful in physics for modelling systems of point charges. File:Límite 01.svg This analysis-related article contains minimal information concerning its topic. You can help the Mathematics Wikia by adding to it.
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