Hello :
i am reading now landau & lifshitz book on mechanics and i have small question :
about L(v^2) notation it was not very clear in the book and i couldn't understand it correctly anyone can explain it or provide a link with explanation
page (4 - 5)
Best regards
Hagop
Homework Statement:: Write each of the following sets in set-builder notation.
Relevant Equations:: None.
{2, 4, 8, 16, 32, 64...}
=2·{1, 2, 4, 8, 16, 32...}
What should be the next step in this work?
What does ##S=\partial V## and ##C=\partial S## signify, usually I have only seen books writing ##C## when evaluating a line integral over a curve ##C## and ##S## when evaluating a surface integral over a surface ##S##. Could someone clarify what ##\partial S## and ##\partial V## mean?
I saw it somewhere but I did't know exactly what it meant. Could someone explain it to me like I am 5? Does it mean we integrate with respect to x n times?
$$\int_{\mathbb{R}^n}f\, \mathrm{d}^n x$$
Does $$\partial^\beta(g_{\alpha\beta}A_\mu A^\mu)$$
mean the same as $$\frac {\partial (g_{\alpha\beta}A_\mu A^\mu)}{\partial A^\beta} ?$$
If not could someone explain the differences?
Dear PF Forum,
I watched this video
10 ^ 10 ^ 10 ^ 5600
The narative says,
It is 1 followed by 5600 zeros
But that's not what I think,
I think it is 1 followed by I don't know.
What does this number means?
Is it
A: 10 ^ (10 ^ (10 ^ 56)))
or
B: ((10 ^ 10) ^ 10) ^ 56?
It says that
"As...
My attempt:
## ( \rightarrow ) ## Suppose G is injective. Let ## y \in Y ## be arbitrary, denote A = ## \{ y \} ## so that ## G(A) = G(\{ y \}) = f^{-1}[\{ y \}] = \{ x \in X | f(x) \in \{ y \} \} =\{ x \in X | f(x)= y \} ##.
[ However, now I am stuck because I don't know if ## G(A)=...
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1. ## f = \lambda n \in \mathbb{N}. (-1)^n + n^2 ##
2. ## f = \lambda g \in \mathbb{R}...
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They expand the ket |V> as:
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##xln_{2}2=2 ln_{2}x##
##x=2 ln_{2}x##
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For the first one so far I have
(3 · a + 5 · b)[a, b ≔ b, a]
=⟨ Substitution ⟩
(3 · b + 5 · a)
So far this is right, however I don't really know the difference between the others.
For the second one I did
(3 · a + 5 · b)[a ≔ b][b ≔ a]
=⟨ Substitution ⟩
(3 · b + 5 · b)
For this one I got it...
Mentor note: Moved from a technical section, so is missing the homework template.
Hi,
I'm always not sure how to prove something in math and I'm wondering if this is enough.
##\vec r \cdot (\vec u + \vec v) ##
##\vec u + \vec v = (u_1+v_1, u_2+v_2,u_3+v_3) = \vec s##
##\vec r \cdot (\vec u +...
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Summary:: why this answer ?
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Edited after post below:
Hi,
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