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Please answer with full and clear
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For functions F and G dependent on the coordinates...
Please be detailed in your answer. Thank you. 1. Let f g be measurable functions defined...
Please be detailed in your answer. Thank you.
1. Let f g be measurable functions defined on a measurable domain E. Let A, = {x € Elg(x) = 0}. It is clear that the domain of() is A . Prove the following: a. A, is a measurable set. b. (1) is a measurable function on Ap. Hint: Show that for every a € R, {xea |^)(x) < a} is m easureable. Start by proving that {x e Aol (6) (x)...
Please answer it step by step and Question 2. uniformly converge is defined by *f=0* clear...
Please answer it step by step and Question 2. uniformly
converge is defined by *f=0* clear handwritten,
please, also, beware that for the x you have 2 conditions , such as
x>n and 0<=x<=n
1- For all n > 1 define fn: [0, 1] → R as follows: (i if n!x is an integer 10 otherwise Prove that fn + f pointwise where f:[0,1] → R is defined by ſo if x is irrational f(x) = 3 11 if x...
Please answer all parts with full, clear solutions so i can understand :) :) Q2 (6 points) If C is a smooth plane curve...
Please answer all parts with full, clear solutions so i can
understand :) :)
Q2 (6 points) If C is a smooth plane curve with parametrization r r(t),t E [a, b], then the curvature K(t) of C at the point r(t) is defined to be the magnitude of the rate of change -ll dT of the unit tangent vector with respect to the arc length. That is, = ds () [2p] Show that K(t) = ||F (C) xr" (t)|| r...
*Please, answer all the literals and be detailed with the answer (do all the procedure and calculations) *Do it with a clear letter Homework (scattering) 1. Consider the time dependent Schrödinger eq...
*Please, answer all the literals and be detailed with the answer
(do all the procedure and calculations)
*Do it with a clear letter
Homework (scattering) 1. Consider the time dependent Schrödinger equation written in the form where 0 2mo As it is well known the temporal evolution of a wave function ψ( t) known at a specific time t is uniquely determined for all future times t, > t as well as for all past times t' < t. Moreover,...
Please be detailed in your answer. Thank you.
1. Let f g be measurable functions defined on a measurable domain E. Let A, = {x € Elg(x) = 0}. It is clear that the domain of() is A . Prove the following: a. A, is a measurable set. b. (1) is a measurable function on Ap. Hint: Show that for every a € R, {xea |^)(x) < a} is m easureable. Start by proving that {x e Aol (6) (x)...
Please answer it step by step and Question 2. uniformly
converge is defined by *f=0* clear handwritten,
please, also, beware that for the x you have 2 conditions , such as
x>n and 0<=x<=n
1- For all n > 1 define fn: [0, 1] → R as follows: (i if n!x is an integer 10 otherwise Prove that fn + f pointwise where f:[0,1] → R is defined by ſo if x is irrational f(x) = 3 11 if x...
Please answer all parts with full, clear solutions so i can
understand :) :)
Q2 (6 points) If C is a smooth plane curve with parametrization r r(t),t E [a, b], then the curvature K(t) of C at the point r(t) is defined to be the magnitude of the rate of change -ll dT of the unit tangent vector with respect to the arc length. That is, = ds () [2p] Show that K(t) = ||F (C) xr" (t)|| r...
*Please, answer all the literals and be detailed with the answer
(do all the procedure and calculations)
*Do it with a clear letter
Homework (scattering) 1. Consider the time dependent Schrödinger equation written in the form where 0 2mo As it is well known the temporal evolution of a wave function ψ( t) known at a specific time t is uniquely determined for all future times t, > t as well as for all past times t' < t. Moreover,...
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