Mathematics Stack Exchange
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Questions tagged [soft-question]

For questions whose answers can't be objectively evaluated as correct or incorrect, but which are still relevant to this site. Please be specific about what you are after.

For questions whose answers cannot be objectively evaluated as correct or incorrect, but which are still relevant to mathematics.se.

12079 questions
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A CONCEPTUAL QUESTION ABOUT PROBABILITY INFERENCE

Suppose two continuous random variables $X,Y$ satisfy $$ X \leq Y$$ and the cdf $F(y)$ of $Y$ is known so that for a number $c\in [\min Y,\max Y]$ $$P(Y \leq c)=F(c).$$Since $X \leq Y$,can we logically conclude that $X$ is less than c with…
AgnostMystic
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Optimizing the Light Switch Time at an Intersection

This is just a problem that I am curious about investigating. Lets say we have a standard traffic intersection. The intersection has 4 lanes and each lane either lets cars enter or exit. The lanes each have a specific inflow distribution for example…
Danyu Bosa
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Correspondence with mathematical topology and the usage of the word "topology" outside mathematics

Outside mathematics, the way I have heard the word topology being used is to describe the shape of, say, terrain: "Topology of the route we are about to hike is tough!". Given that the mathematical topology is just a collection of sets which satisfy…
Epsilon Away
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What are the classical proofs that $\mathbb{R} \equiv (0, 1)$ and $\mathbb{R} \equiv (0, 1]$

I am looking for "classical" - simple yet striking - proofs that set of all real numbers is equivalent to the $(0, 1) \subset \mathbb{R}$ and $(0, 1] \subset \mathbb{R}$? To my understanding, it is enough to show that two functions $f: (0, 1)…
Zazaeil
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Is this correct wording?

The Point $A$ inside soccer field is closer to $x$ axis than to $y$ axis. Given that the coordinate of $A$ is given by $A(\log_2(17-x),3)$, determine the sum of the integer values of $x$. The question comes down to solving, $$ 8>17-x \implies…
blackened
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Special set in $\mathbb{R}^d$

Is there a name for sets in $\mathbb{R}^d$ of the form $$ (-\infty,r_1]\times(-\infty,r_2]\times\cdots\times(-\infty,r_d], $$ where $r_1,\ldots,r_d$ are real numbers?
Robert W.
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If two points fall on the exact same position, is the resulting overlap considered as 1 point or 2 points?

Two points, $a$ and $b$, both lie on $(1,1)$. Visually this has the appearance of one point. Have the two points 'merged' into one? Is the resulting point able to just be considered a single point $(1,1)$? Or, are they like two points stacked on top…
will
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Are there jobs where one needs knowledge about chaostheory?

I am beginning with my masters degree in mathematics next semester and one possibility is to specialize in chaostheory. When I am done with the degree I will likely leave the university and so I am asking myself where I could use this knowledge…
Sen90
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Calculating values of the chords

If we have a semicircle of diameter AB (with length 1) and center O, then we can find the approximate value of the chord AC, by the following formula,where $x$ represents the value of the angle…
Srbin
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Pursuing (pure) math while going to medical school and being a doctor?

I LOVE pure math, it sparks joy and excitement for me. At the same time, I want to be a trauma surgeon for a variety of reasons (it interests me, has more job prospects, academia doesn't seem like a great environment for me, I don't love teaching,…
Neptune
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Is rational number system the motivation behind the definition of field structure?

It might sound a very silly question but I didn't find satisfactory answer anywhere. When I read concept of order(I am reading baby Rudin now), I find it very intuitive in sense that it connects to real world arrangement of object. Meaning if we had…
ogirkar
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Greatest number you can write using 3 symbols of a standard keyboard.

Light problem. I think I have two possible answers: $9^9!$ or is $9^{9!}$ greater ? Unfortunately I haven't been able to find a calculator that can display either answer. Is there something that is totally different that is larger ? Happy holidays!
user524813
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Diagnosing issues for practice

In my math tests, I often miss little edge cases or exclude details that I would not have in homework. For example, my proof of why the root of a prime is irrational was: Take some prime p. Suppose root p is rational. There exist some integers m and…
skm
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University courses and self-learning

First, I want to thank all the members of MSE because this community helped me a lot! But this question is a hard one for me. I want to tell my story with math to all of you in search for an advice. In high school I liked school math and also some…
Tortar
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What could I expect from an undergraduate course in math?

Right now I’m a Junior in high school who (in my opinion) isn’t half bad at math. I compete in math competitions and like the subject as well. Naturally, I’ve been drawn to getting a Major in pure math. But, I’m not certain, and I have interests in…
Snacc
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