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comment How to avoid stupid mistakes in calculus exams without checking the whole process?
@user1561358 Absolutely! It may not feel like it, but if you put in consistent, smart studying --- not cramming --- then when test time rolls around, you'll find that you gave enough time to do the exam and double-check your work.
14h
awarded  Enlightened
14h
awarded  Nice Answer
1d
revised How to avoid stupid mistakes in calculus exams without checking the whole process?
forgot a
1d
answered How to avoid stupid mistakes in calculus exams without checking the whole process?
May
18
awarded  Fanatic
May
17
reviewed Approve Geometrical Interpretation of Matrix Multiplication
May
17
comment Is this possible: $\frac{dy}{dx} \not= 0$ when $y=0$, under some conditions
I don't see why this question should be closed on the grounds that it's "off-topic" for the site. It is clearly a question about math.
May
17
comment Can a “well behaved” function oscilate between two different growth orders?
I believe you can even arrange each if these line segments to be tangent to the lower curve. Also, in the last sentence, I think you mean $f''<0$
May
15
comment Obstruction to the existence of constant-rank sections of $T^*M\odot T^*M$
To look for an obstruction to the existence of a rank $k$ subbundle, one should be able to play the standard obstruction theory game by triangulating the base, choosing planes in the tangent bundle over the 1-skeleton, then trying to extend over the higher skeleta, yes?
May
15
comment Obstruction to the existence of constant-rank sections of $T^*M\odot T^*M$
Got it. Thanks!
May
14
comment Obstruction to the existence of constant-rank sections of $T^*M\odot T^*M$
Sorry if this is an inane question -- what's the definition of $\odot$?
May
13
comment If a subspace M is closed and dense in an inner product space V, does V = M?
Is your argument correct? If so, it is not possible for counterexamples to exist!
May
13
comment Definition of the mathematical proof
Looks good. Thanks!
May
13
revised Definition of the mathematical proof
deleted 174 characters in body
May
11
comment Canonical Mapping in Linear Algebra
@Melba1993 I think you're thinking too hard. I edited my answer. A minor point - the elements of $V/U$ are cosets which can be represented as $v + U$, so when you write out an expression for vectors in $V/U$ using this representation, it will have lots of "$+U$"s in it.
May
11
revised Canonical Mapping in Linear Algebra
added 1522 characters in body
May
11
comment Asymptotic behavior of $\int_0^1 \text{min}\{1,x^{-d}(1-x^d)^n\} dx$ as $n\to\infty$
@DanielFischer OK, that makes sense. Thanks.
May
11
comment Does the wedge product of bundle-valued forms induce a universal object?
I recall Morita's book The Geometry of Differential Forms is a reference for bundle-valued forms, but it's been a while and I don't think it includes a categorical perspective.
May
11
comment Asymptotic behavior of $\int_0^1 \text{min}\{1,x^{-d}(1-x^d)^n\} dx$ as $n\to\infty$
Are you sure you want that first exponent to be negative? It means your function will always be 1 when $x$ is close to 0 and that strikes me as a little odd.