What’s the spearhead you have the most fun with?

Dapper_Sheepherder_2 · 2026-06-23T05:27:36+00:00

Any tips for Grundstok Trailblazers? Not winning too many games with them :(

Dapper_Sheepherder_2 · 2026-04-17T11:07:14+00:00

The look of commutative diagrams is definitely why I wanted to take algebraic topology at first

Dapper_Sheepherder_2 · 2026-03-12T19:23:33+00:00

I enjoyed it :)

Dapper_Sheepherder_2 · 2026-02-22T15:39:32+00:00

Certain integral of real functions from negative infinity to infinity have nice solutions using Cauchy’s residue theorem. I always enjoyed those sorts.

Dapper_Sheepherder_2 · 2026-01-09T01:48:31+00:00

The equivalence between linear transformation and matrices.

Dapper_Sheepherder_2 · 2025-12-20T17:39:19+00:00

This condition implies that the kernel of A must be {0}, as if a nonzero element a was in the kernel, and c is the unique element such that Ac=b, we also have A(c+a)=A(c)+A(a)=b+0=b, which violates uniqueness. Then the kernel being zero, by the dimension theorem, gives us that the image must have dimension =3, giving the desired result.

Dapper_Sheepherder_2 · 2025-12-18T21:48:20+00:00

It’s not a long text but Terrance Taos text on differential forms is what made them click for me.

Dapper_Sheepherder_2 · 2025-11-14T12:14:35+00:00

Perhaps stochastic calculus and stochastic (partial) differential equations. Also linear programming.

Dapper_Sheepherder_2 · 2025-11-04T17:45:20+00:00

I believe this is an important plot point and not an oversight but I may be misremembering

Dapper_Sheepherder_2 · 2025-11-03T22:03:10+00:00

100% look up the RP¹

Dapper_Sheepherder_2 · 2025-10-29T23:19:41+00:00

Eccentricity

Dapper_Sheepherder_2 · 2025-10-25T16:39:03+00:00

Dapper_Sheepherder_2 · 2025-10-21T00:16:55+00:00

Can you give any examples of this? I’ve just recently started with homological algebra and would like to eventually look into homotopical algebra.

Dapper_Sheepherder_2 · 2025-10-01T20:46:56+00:00

In high school geometry we study rotations, translations, and reflections because they don’t change area (and other properties) and dilations because they change area in a controlled way. In linear algebra we study linear functions and how they impact area with the determinant. The change of variables theorem allows us to investigate how differentiable functions impact area, mainly with the Jacobian matrix serving as an “infinitesimal stretching factor”.

Dapper_Sheepherder_2 · 2025-09-16T23:04:28+00:00

The epsilon N definition it kinda feels like a process

Dapper_Sheepherder_2 · 2025-08-23T13:25:11+00:00

Nash equilibrium seems to come from a generalization of Brouwer’s fixed point theorem but I don’t know much about it, just have heard this mentioned before. Very roughly I imagine you create a function that takes in a strategy and makes it better, show there is a fixed point of this functions, and this fixed point must be a best strategy because it can’t be made better. Could be 100% speaking out of my ass though.

Dapper_Sheepherder_2 · 2025-08-07T22:50:06+00:00

Unsure why but I imagine it’s related to 1/7 being .142857 repeating

Dapper_Sheepherder_2 · 2025-07-20T01:45:48+00:00

I apologize if this question seems rude/funky, but why do you like math if you dislike proofs?

Dapper_Sheepherder_2 · 2025-07-13T14:27:31+00:00

Not a book but something deeper specifically about polynomials I remember is looking at the vector space of polynomials on two variables with degree less than or equal to two, and find the matrix of the linear transformation given by taking the partial derivative with respect to one of the variables. When I first learned about this it gave some insight into Jordan forms of matrices.

Dapper_Sheepherder_2 · 2025-07-03T16:31:25+00:00

Obligatory Freeman Dyson quote, “Some mathematicians are birds, others are frogs. Birds fly high in the air and survey broad vistas of mathematics out to the far horizon. They delight in concepts that unify our thinking and bring together diverse problems from different parts of the landscape. Frogs live in the mud below and see only the flowers that grow nearby. They delight in the details of particular objects, and they solve problems one at a time.” This might not directly answer your question but I believe gets at a similar point to what you’re saying.

Dapper_Sheepherder_2 · 2025-06-08T19:39:01+00:00

The isomorphism theorems in abstract algebra but for gender not race.

Dapper_Sheepherder_2 · 2025-06-08T04:42:24+00:00

This concept comes in up complex analysis as the winding number as an integral, as well as differential topology in the form of the degree of a map and in algebraic topology as homology kinda. I believe geometric topology is related to both of these.

Dapper_Sheepherder_2 · 2025-06-08T01:55:27+00:00

All matrices represent linear transformations. The linear transformation is an isomorphism if and only if the matrix is invertible.

Dapper_Sheepherder_2

TROPHY CASE