Search results for "Integral" - Rhea

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• Applications of Convolution: Simple Image Blurring
  In continuous time, a convolution is defined by the following integral:
  7 KB (1,006 words) - 22:10, 22 December 2019
• Walther MA271 Fall2020 topic20
  ...r transform usually eliminates the bounds and instead utilizes an improper integral:<br /><br />
  12 KB (2,051 words) - 14:20, 5 December 2020
• Walther MA271 Fall2020 topic14: Review of Reparametrizing
  ...ase "u") represent a portion of our integral. For example, let's take this integral: ...h>. We can then proceed to use this as a substitution for dx, changing our integral to <math> \int {sin{(u)} du}</math>, which is much easier to compute.
  1 KB (207 words) - 17:53, 4 December 2020
• Walther MA271 Fall2020 topic14: What is Feynman's Technique
  ...get an integral that is easier to work with. A simple example would be an integral such as: ...a function, focusing on the cosine factor of the integrand. By writing the integral as a function, we can change the expression to:
  4 KB (640 words) - 20:41, 30 November 2020
• Walther MA271 Fall2020 topic29
  The integral evaluates to <math> \frac{L}{2}</math>, so <math> A = (\frac{2}{L})^{\frac{ ...ns of this result is the variable <math> n </math>; as it can only take on integral values, the energy of the particle is '''quantized''', restricted to discre
  11 KB (1,781 words) - 20:34, 6 December 2020
• Walther MA271 Fall2020 topic19
  # Cauchy’s Integral Theorem ==== Cauchy’s Integral Theorem ====
  8 KB (1,390 words) - 16:12, 6 December 2020
• Walther MA271 Fall2020 topic14: Worked Solution 1
  A simple example would be an integral such as: ...a function, focusing on the cosine factor of the integrand. By writing the integral as a function, we can change the expression to:
  3 KB (578 words) - 01:34, 2 December 2020
• Walther MA271 Fall2020 topic14: Introduction
  ...r the integral sign. This method of integration is also known as "Leibniz' Integral Rule". ...model. His technique to solve integrals by using differentiation under the integral sign helps to find the derivative on the nth order of the product of two fu
  1 KB (205 words) - 03:06, 3 December 2020
• Walther MA271 Fall2020 topic14: Worked Solution using Feynman Integrals
  ...t this function can be solved easily if we using differentiation under the integral sign. Therefore, let's define a more basic function:
  2 KB (408 words) - 12:42, 3 December 2020
• Walther MA271 Fall2020 topic14: Uses of Feynman's Technique
  ...e can set F(a) equal to an easier integral and differentiate it to get the integral in the problem. For example, let's take the integral in the video:
  3 KB (574 words) - 22:24, 2 December 2020
• Walther MA271 Fall2020 topic14: Worked Solution using Feynman's Technique
  ...t this function can be solved easily if we using differentiation under the integral sign. Therefore, let's define a more basic function:
  2 KB (408 words) - 12:35, 3 December 2020
• Walther MA271 Fall2020 topic14: Applications to Physics
  ...''V'', we can use Feynman's rule to manipulate the gradient and potential integral so that we can solve the solution in an easier way.
  2 KB (388 words) - 18:22, 4 December 2020
• Walther MA271 Fall2020 topic14: Applications with Physics
  When used in different types of integrals, Feynman's integral can simplify mathematicians' and students' lives. We can use this technique When given a definite integral such as,
  889 B (141 words) - 01:36, 5 December 2020
• Walther MA271 Fall2020 topic14: Applications with different integrals in Mathematics
  Feynman's integral when used in different types of integrals can simplify mathematicians' and
  166 B (21 words) - 17:46, 4 December 2020
• Walther MA271 Fall2020 topic14: Applications to Physics & Mathematics
  When used in different integrals, Feynman's integral can simplify mathematicians' and students' lives. We can use this technique When given a definite integral such as,
  3 KB (525 words) - 03:12, 5 December 2020
• Walther MA271 Fall2020 topic14: Application of Leibniz's Rule in Electrostatics
  ...''V'', we can use Feynman's rule to manipulate the gradient and potential integral so that we can solve the solution in an easier way.
  2 KB (403 words) - 18:01, 5 December 2020
• Walther MA271 Fall2020 topic14: Conclusion
  ...single, unique classical trajectory for a system with a sum, or functional integral, over an infinity of quantum-mechanically possible trajectories to compute ...ve seen over these past few slides, there are many ways to apply Feynman's integral technique, both mathematically and towards other subjects. Although this in
  2 KB (307 words) - 21:13, 5 December 2020
• Walther MA271 Fall2020 topic7 IntegrationDerivation
  ...>i</sub>(t) and t ∈ [-1,1] using each γ_i path. Finally, the integral can be written as: ...the amount of space under the Riemann Surface, just like any “regular” integral.
  2 KB (400 words) - 00:02, 6 December 2020
• Proof of Fischer's Information
  <small>''note: <math>\int[f(X;θ)]dx</math> simplifies out to one because the integral of a probability function is always 1.''</small><br />
  2 KB (351 words) - 23:13, 6 December 2020
• Swanson MA279 Fall2022 topic8
  ...eorem could apply to non-integer powers so by representing this area as an integral of the binomial theorem's expansion he had an infinite series which converg
  18 KB (2,815 words) - 11:22, 8 December 2022