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andrewkirk's latest activity
andrewkirk
replied to the thread
What is the difference between the two sine rules for resultant vector?
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There is only one rule. The second one you wrote is just what you get when you take the reciprocals of all the items. Naturally if a=b...
Apr 15, 2024
andrewkirk
replied to the thread
I
How to determine if a set is a semiring or a ring?
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It refers to a semi-ring of sets, defined here, not a semi-ring in the algebraic sense. That is not correct. [0,1] is indeed an element...
Mar 31, 2024
andrewkirk
replied to the thread
I
Help with basic transfinite induction proof
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By that "if necessary" they mean that, if you can't prove $$\mathcal{F}_{\alpha+1}\subset\mathcal{G}$$ by assuming...
Mar 30, 2024
andrewkirk
replied to the thread
A
A question about an 'extremal' surface
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The Hessian approach won't achieve anything if the gradient is zero, as the Hessian will then also be zero. EDIT: That's wrong. Please...
Mar 12, 2024
andrewkirk
replied to the thread
A
A question about an 'extremal' surface
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A normal vector is defined relative to a surface, not relative to a function. If hypersurface S is a submanifold of differentiable...
Mar 11, 2024
andrewkirk
replied to the thread
B
Question about the fundamental theorem of calculus
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A derivative calculating by approaching from the right (positive perturbations) is called a right derivative. A derivative calculating...
Mar 11, 2024
andrewkirk
replied to the thread
Understanding relative velocity in 1D elastic collision
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Say rather that (5) doesn't say there is an interaction, rather than a collision. We can make physical sense out of any solution to (5)...
Feb 23, 2024
andrewkirk
replied to the thread
How do I fix this surd inside a surd?
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In your working you start with the "=54" there. That's never going to work because that's essentially what you have to prove (since 54...
Feb 22, 2024
andrewkirk
replied to the thread
I
Work done by electric field of an irregularly shaped conductor
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I think the problem lies in an incorrect hidden assumption the OP makes: that the ellipsoid shown is a surface of constant potential, so...
Feb 15, 2024
andrewkirk
reacted to
anuttarasammyak's post
in the thread
Punching a hole in a tape moving at relativistic speed
with
Like
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In the puncher’s FOR, the puncher makes a hole on contracted tape. In the tape FOR, the contracted puncher makes a hole in...
Feb 11, 2024
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