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fresnelintegral

fresnel integral

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There are 15 letters in FRESNELINTEGRAL ( A¹E¹F⁴G²I¹L¹N¹R¹S¹T¹ )

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Definitions of fresnel integral in various dictionaries:

FRESNEL INTEGRAL - The Fresnel integrals S(x) and C(x) are two transcendental functions named after Augustin-Jean Fresnel that are used in optics and are closely relate...

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Fresnel integral might refer to
The Fresnel integrals S(x) and C(x) are two transcendental functions named after Augustin-Jean Fresnel that are used in optics and are closely related to the error function (erf). They arise in the description of near-field Fresnel diffraction phenomena and are defined through the following integral representations:* * * * S * ( * x * ) * = * * ∫ * * 0 * * * x * * * sin * ⁡ * ( * * t * * 2 * * * ) * * d * t * , * * * * * * {\displaystyle S(x)=\int _{0}^{x}\sin(t^{2})\,dt,\,\,\,} * * * * * C * ( * x * ) * = * * ∫ * * 0 * * * x * * * cos * ⁡ * ( * * t * * 2 * * * ) * * d * t * . * * * {\displaystyle C(x)=\int _{0}^{x}\cos(t^{2})\,dt.} * The simultaneous parametric plot of S(x) and C(x) is the Euler spiral (also known as the Cornu spiral or clothoid). Recently, they have been used in the design of highways and other engineering projects.

Fresnel integral might refer to

The Fresnel integrals S(x) and C(x) are two transcendental functions named after Augustin-Jean Fresnel that are used in optics and are closely related to the error function (erf). They arise in the description of near-field Fresnel diffraction phenomena and are defined through the following integral representations:*
*
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* {\displaystyle S(x)=\int _{0}^{x}\sin(t^{2})\,dt,\,\,\,}
*
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* C
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* {\displaystyle C(x)=\int _{0}^{x}\cos(t^{2})\,dt.}
* The simultaneous parametric plot of S(x) and C(x) is the Euler spiral (also known as the Cornu spiral or clothoid). Recently, they have been used in the design of highways and other engineering projects.

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