The Fundamental Theorem of Calculus Made Clear Intuition. Second Fundamental Theorem of Calculus. Let F be any antiderivative of f on an interval , that is, for all in .Then . Proof. Let be a number in the interval .Define the function G on to be. By the First Fundamental Theorem of Calculus, G is an antiderivative of f. The Fundamental Theorem of Calculus is often claimed as the central theorem of elementary calculus. Although it can be naturally derived when combining the formal definitions of differentiation and integration, its consequences open up a much wider field of mathematics suitable to justify the entire idea of calculus as a math discipline..

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Diffraction and Resolution Union College. Fresnel Diffraction: Now consider a circular aperture of radius , illuminated by a point source R at a finite distance ρ, and an observation screen in the near-field (i.e. at a distance r < R2/ λ from the aperture). Fresnel diffraction is observed, and the intensity of the center of the diffraction Fraunhofer Diffraction Tuesday, 12/5/2006 Physics 158 Peter Beyersdorf 1. 20. Class Outline Introduction Diffraction from a set of discrete sources Diffraction from a line source Diffraction of a slit Diffraction from a circular aperture Babinet’s Principle 2. 20. Introduction from Latin “diffraction” means to break apart 3 Francesco Maria Grimaldi (1613 - 1663) Discovered the.

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