18h
awarded Enlightened
21h
awarded Nice Answer
Nov
23
awarded Yearling
Nov
23
awarded Yearling
Nov
21
awarded Good Answer
Nov
11
awarded Great Answer
Nov
11
revised Signs of solutions to a quadratic equation
edited tags
Nov
8
comment Why is this algebraic curve irreducible?
possible duplicate of [$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$](math.stackexchange.com/questions/652392/…)
Nov
6
comment Why does a ring homomorphism induce a continuous map between spectra?
possible duplicate of A homomorphism induces a continuous map from ${\rm Spec}(A') \to {\rm Spec}(A)$.
Nov
5
comment Exact sequence of sheaves from the exactness of sections
Exactness of the sequences of sections immediately results in exactness of the sequence of sheaves. Compute each $\ker$ and $\operatorname{im}$ and verify this.
Nov
2
comment Proving the continuity of a homotopy
Note that $D^2$ deformation retracts onto a point on the boundary. By composing this map with carefully chosen maps, you get your desired homotopy.
Nov
1
comment Interpretation of input to solve the differential equation
You don't have to use the partial derivative. Just think of $y$ as a function of $x$ and compute $df(x, y)/dx$ as usual. See total derivative on Wikipedia.
Nov
1
comment Interpretation of input to solve the differential equation
This is borderline off topic. Anyway, try Dt[f[x, y], x].
Nov
1
comment Show that a function is limited and constrained?
Well, $x^2 + y^2 \le 1$ implies that all points are inside the unit circle, so it is bounded.
Nov
1
comment Show that the metric $d_1$ on $C([0,1])$ does not give rise to a complete metric space.
possible duplicate of [Showing $(C[0,1], d_1)$ is not a complete metric space](math.stackexchange.com/questions/152233/…)
Nov
1
comment Exact sequence of $A$-modules
This is also proved in detail in Dummit & Foote.
Nov
1
comment Show that a function is limited and constrained?
I assume by constrained you mean bounded. This is false in general. Consider the case in which both $f$ and $g$ are constant.
Oct
31
revised Maps between direct limits and functoriality of $f^{-1}:Shv(Y) \rightarrow Shv(X)$ and $f_{*}:Shv(X) \rightarrow Shv(Y)$
Fixed CD usage
Oct
31
comment Proving Irreduciblity in Polynomial Quotient Rings
@walkar Happy to help.
Oct
31
answered Proving Irreduciblity in Polynomial Quotient Rings
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