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mathwonk's latest activity
M
mathwonk
replied to the thread
Linear Algebra Determinant proof
.
note that geometrically this is the fact that the area of a parallelogram equals that of the rectangle with same height and base.
Tuesday, 10:17 AM
M
mathwonk
replied to the thread
What are Good Books on Tensors for Understanding Einstein's Field Equation?
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Orodruin to the rescue! As Orodruin makes clear, a map from T to T*, (where T is the tangent space), corresponds to a tensor of type...
Tuesday, 9:50 AM
M
mathwonk
reacted to
Orodruin's post
in the thread
What are Good Books on Tensors for Understanding Einstein's Field Equation?
with
Love
.
That would be the cosmological constant term. You can either keep it on the LHS or move it to the RHS and consider it part of the...
Monday, 4:12 PM
M
mathwonk
replied to the thread
What are Good Books on Tensors for Understanding Einstein's Field Equation?
.
To someone like me, i.e. me, who knows nothing of this, and never heard of Einstein's field equations before, wikipedia looks actually...
Monday, 1:20 PM
M
mathwonk
replied to the thread
What are Good Books on Tensors for Understanding Einstein's Field Equation?
.
Ok, so I think of it this way now: in physics there are various operations on (fields of) vectors taking them linearly or multi-linearly...
Sunday, 7:24 PM
M
mathwonk
replied to the thread
What are Good Books on Tensors for Understanding Einstein's Field Equation?
.
Ah yes, proceeding from Orodriuin's guidance, we can see what kind of tensor the Riemann curvature should be: We need the basic...
Sunday, 4:39 PM
M
mathwonk
replied to the thread
What are Good Books on Tensors for Understanding Einstein's Field Equation?
.
You are reminding me of how stunned I was when my professor asked why I was so sure, when given a function f(x), that x was the...
Sunday, 12:08 PM
M
mathwonk
replied to the thread
What are Good Books on Tensors for Understanding Einstein's Field Equation?
.
well I was enjoying the excerpt of Biennow on amazon...
Saturday, 1:32 PM
M
mathwonk
replied to the thread
What are Good Books on Tensors for Understanding Einstein's Field Equation?
.
Well a quick look at Wikipedia shows that the output of a tensor can be more general than a function, e.g. the Riemann curvature tensor...
Saturday, 12:27 PM
M
mathwonk
replied to the thread
What are Good Books on Tensors for Understanding Einstein's Field Equation?
.
I am a mathematician, and to me, if you already know what the tangent bundle is, and its dual the cotangent bundle, and hence know what...
Saturday, 11:49 AM
M
mathwonk
replied to the thread
Proving well ordering principle from Peano Axioms
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quantifiers are actually essential for precise statements. recall existential quantifiers affirm a statement for at least one element...
Friday, 12:25 PM
M
mathwonk
replied to the thread
Proving well ordering principle from Peano Axioms
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Excellent, except to be picky, you have omitted some existential quantifiers, e.g. in line minus 17, it should say "there exists h such...
May 1, 2024
M
mathwonk
reacted to
issacnewton's post
in the thread
Proving well ordering principle from Peano Axioms
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Like
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Ok. I think I can put your arguments together and following is my proof. Let ##H## be defined as follows $$H = \Bigl\{a \in \mathbb{N}...
May 1, 2024
M
mathwonk
reacted to
berkeman's post
in the thread
Bad at math and great at physics, explain this paradox?
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:wink:
Apr 29, 2024
M
mathwonk
reacted to
dextercioby's post
in the thread
Collection of Lame Jokes
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Apr 25, 2024
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