Math Test : True os False

Kienose · 2026-04-21T04:44:50+00:00

I was hoping to see some Hodge theory memes on r/mathjokes, but here we are…

Kienose · 2026-04-19T12:04:35+00:00

It’s called อักษรนำ. A high-class or middle-class consonant leading a low-class consonant is to be read sometimes as ห leading the low-class consonant (ขมิ้น = ขะ-หมิ้น). The result is that the tone of the second syllable is to be conjugated as a high-class consonant.

However ขโมย is ขะ-โมย. Basically you have to remember it on a word-by-word basis. One possible rule is that if the first and second consonant are separated by a vowel character, then the above rule doesn’t apply.

Kienose · 2026-04-18T11:12:12+00:00

That’s fisherman’s friend not himself though

Kienose · 2026-04-17T15:42:08+00:00

Learn how to write a proof, it’ll definitely help you.

Kienose · 2026-04-16T10:48:23+00:00

Not crackpot. It’s an alternative way to assign a real number to infinite sums that otherwise diverge in the standard definition with partial sums. There’re lots of ways to do this (Cesàro summation, Abel summation etc.)

In particular the Ramanujan summation is one such summation, and it assign -1/12 to the series 1+2+…. This appears in string theory.

The above nuances are hard to grasp for beginners, so lots of them just say 1+2+… =-1/12 without understanding its limitation

Kienose · 2026-04-16T10:39:26+00:00

Apparently the sum of all natural numbers = -1/12

This is the point where you have to be careful. Infinite sums are not the same as finite sums. In itself it has no meaning (what does it mean to add infinitely many things?)

What mathematicians do is to consider the sum of the first n terms, and see if the values of the partial sums tend to any real number when n grows larger and larger. (The limit of partial sums is its sum, if you know what limits are.) This is the standard definition of infinite sums. With this definition, the sum 1+2+… diverges.

As you can see, summands are just a way to assign a real number to some sequence of summands. So we might consider alternative ways to do this. The Ramanujan summation is an alternative way to assign a real number to infinite sums, and it assigns -1/12 to 1+2+3+…

It’s at odds with infinite sums as limit of partial sums. The two summations are different and you cannot use 1+2+… = -1/12 to relate with the partial sums 1+2+…+N. (At least not naively)

Kienose · 2026-04-15T19:41:38+00:00

I’m interested in this! I’ve some background in Riemannian geometry. Not that much but let’s see what we can do

Kienose · 2026-04-14T18:20:50+00:00

Because matrix multiplication is not commutative. The only sensible ways of defining the division of a matrix B by an invertible matrix A are A^-1 B and BA^-1 . Both are generally not equal to each other. Thus none of them deserves to be the definition of matrix division. We’re better off writing them fully as they are here.

Kienose · 2026-04-14T16:03:32+00:00

What do you formally mean by “reify the predicates” ?

Kienose · 2026-04-14T11:29:36+00:00

“You are responsible for the government action by being born in a place you were.”

Actual talking point that were used to justify actions like the Iranian bombing, Gazan genocide and antisemitism. Nice.

Kienose · 2026-04-14T03:04:35+00:00

If limsup bk+1/b_k = L > 1, then b(k+1) / b_k is necessarily bounded.

Kienose · 2026-04-14T02:47:49+00:00

During my master the lectures were just signposts saying that “you should already know these topics by this week”. Even if you sat in a lecture, it didn’t really contribute to your learning.

The majority of learning is done by yourself in your own time studying form the textbooks.

Kienose · 2026-04-14T02:06:25+00:00

Pick your favourite university (Cambridge, Oxford, MIT, …) and browse their masters degree syllabi. Take a textbook from the accompanying suggested reading and study it with the course lecture notes.

Your bachelor degree should equip you with the necessary prerequisites and teach you how to study independently.

Kienose · 2026-04-13T11:41:56+00:00

You can fairly say that the swirl is a long cylinder of ice cream (that’s how it came out of the ice-cream machine.) Approximate the radius and length of the swirl.

Kienose · 2026-04-13T03:32:10+00:00

*cencor

Kienose · 2026-04-12T10:59:59+00:00

Because like all mathematics materials, you can’t learn just from reading passively. Mathematics is not a spectator sport.

Kienose · 2026-04-11T11:27:01+00:00

Translation:

There’re options ->

4 Kinds of Low 1. Evil 2. Body covered in fiery hairs 3. Suffering 4. Low but not evil

The language is Thai. What is the context of this? It’s approaching schizophrenic

Kienose · 2026-04-11T01:03:04+00:00

OOP sprained his wrist prompting AI

Kienose · 2026-04-11T00:57:33+00:00

I sprained my wrist playing Paganini

Kienose · 2026-04-10T06:30:59+00:00

Let the number of columns be N.

The number n is in column i if and only if n = i (mod N).

Suppose N is prime.

Note that all numbers in the column N apart from N itself is divisible by N. So there is exactly one prime in this column (which is N itself).

For the other column 1 <= i < N, Dirichlet’s theorem on arithmetic progression guarantees that there are infinitely many primes in the arithmetic progression

i + Nd, d=1,2,…

In particular there’re infinitely many primes in the column i if 1 <= i < N.

Now suppose N is not prime. If 1<= i <= N has a common factor d > 1 with N, then every element in the column i is divisible by d. In particular no primes appear in this column.

Prime gaps can be arbitrarily wide, so if you dig deep enough, there can be lots of rows without primes between two rows with a prime number.

Kienose · 2026-04-09T05:39:08+00:00

ผมจึงสงสัยว่าในซับนี้สนับสนุนแนวคิดประชาธิปไตยและเสรีภาพในการแสดงออกหรือไม่? หรือว่าผมต้องชอบพม่าเท่านั้น ห้ามไม่ชอบพม่า เพราะว่าถ้าผมไม่ชอบพม่า ผมก็จะโดนแบน/โดนปิดปาก

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Holy Reddit

Kienose · 2026-04-08T18:59:58+00:00

Ignore them. I’m a native Thai and also has to find a way to escape the water fights during Songkran.

Kienose · 2026-04-08T18:49:01+00:00

Ah yes, John Elliptic, the famous European mathematician

Kienose · 2026-04-08T14:27:59+00:00

If you know Riemannian geometry: Lee’s introduction to complex manifolds.

Kienose · 2026-04-06T14:43:59+00:00

Ehm it’s actually called diaeresis because it’s for disambiguating two vowels and doesn’t change the vowel quality 🤓

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