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Notation "$d\mu$" vs "$\mu(dx)$" in Durrett's "Probability theory and examples"

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#probability #probability-theory #probability-distributions #notation #change-of-variable
44
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Change of variables from characteristic to initial condition/Derivative of ODE solution with respect to initial condition

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#ordinary-differential-equations #partial-differential-equations #change-of-variable #characteristics
66
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Change of variables formula on manifolds

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#manifolds #riemannian-geometry #differential #change-of-variable #pushforward
107
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Change of variables method for surface integrals

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#differential-geometry #surface-integrals #change-of-variable
86
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Iterated integral change the order and go to polar coordinates

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#integration #solution-verification #polar-coordinates #change-of-variable #iterated-integrals
51
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Understanding the Meaning of $y \geq x$ in Cylindrical Coordinates during a Variable Transformation.

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#integration #multivariable-calculus #intuition #change-of-variable #cylindrical-coordinates
46
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Confusion between the equivalence of change of variables formulas

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#probability #measure-theory #change-of-variable
47
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Why is the change of variable used in proving $L(1/a) = -L(a)$ in $L(x)=\int_1^x \frac1t dt$ is by letting $u = \frac1t$?

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#calculus #change-of-variable
41
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Volume integral of $f(|\mathbf{x}_1-\mathbf{x}_2|)$

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#calculus #integration #vector-analysis #change-of-variable
71
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How to calculate the limits of the integral and the outward vector? How to make change of variables in this proof?

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#partial-differential-equations #lebesgue-measure #harmonic-functions #surface-integrals #change-of-variable
89
Views

Discrete change of an integral result

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#integration #physics #quantum-mechanics #change-of-variable
127
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Is Fubini’s theorem behind this equality?

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#calculus #multiple-integral #change-of-variable #fubini-tonelli-theorems
94
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Verifying change of variable in published work

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#probability #integration #statistics #statistical-inference #change-of-variable
194
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Woud you please check some steps in proof I tried of Trace Theorem from Evans book?

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#partial-differential-equations #solution-verification #partial-derivative #sobolev-spaces #change-of-variable
65
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Mitsuo Sugiura's caluculation of $I=\int\frac{dx}{\sqrt{x^2+1}}$ in his "Introduction to Analysis 1".

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#calculus #indefinite-integrals #change-of-variable

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