# Tagged Questions

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.

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### Launching a Plaintext Attack against Affine Cipher

Update 2 Being new to the world of Stack Exchange I did not realize that there exists a site solely devoted to cryptography. In light of this, I hope someone could help me migrate this question to ...
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### Roots of $f(x)+g(x)$

Question : Let $p,q,r,s \in \mathbb R$ such that $pr=2(q+s)$. Show that either $f(x)=x^2+px+q=0$ or $g(x)=x^2+rx+s=0$ has real roots . My method : To the contrary suppose that both $f(x)$ and ...
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### “The order of a differential equation is the highest derivative in the equation”. What's wrong with this statement?

I am asked the following "The order of a differential equation is the highest derivative in the equation". What's wrong with this statement? I've checked my text and several other sources, and ...
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### How many dots do I have to write?

This seems very odd and silly. But I do not know where else to ask. This question occurs to me whenever I write an infinite sequence, sum or decimal points etc. Ex: $1.2 + 2.3 + 3.4 + ……………$ Ex: ...
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### Intuition for the construction of the product topology and its equivalence to the euclidian metric

While I have been provided a proof for the previous statement, I still cannot fully grasp why the euclidian metric [ $d(x,y)=((x_1-y_1)^2+...(x_{n}-y_{n})^2)^{1/2}$] generates the same topology as the ...
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### What does “within the same order of magnitude” convey?

This question originates from a quandary about the meaning of the statement that two values are within the same order of magnitude. I wonder whether there is an established usage, of (rather more ...
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### Embeddings into symmetric structures

In the recent months I've come across a phenomenon which seems to come up in several areas of algebra making me wonder if there's a larger concept behind it, which I just fail to grasp. Namely, ...
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### Do (systems of linear equations with scalars and unknowns from different algebraic structures) occur widely?

Generally in linear algebra one studies systems of linear equations where both coefficients and unknowns belong to the same field. I would not be the first person to notice that a system like ...
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### are there different kinds of math? [closed]

I do not mean branches such as functional analysis I mean is math we use in elementary school (which I heard uses Peano's axioms) the 'correct' math? Is there math that uses other axioms? Is ...
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### How to approach linear algbera after abstract algbera.

I'm a high school student taking classes at a local college, and because of this I've taken classes in an unusual order. In particular, I took abstract algebra I (focused on group theory) last ...
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### How to solve this Table? [closed]

This is a solved, filled table. I'm trying to understand how it was put together. Numerically, the first half of the chart is easy to figure out, (The parts in red are resultant in simple addition.) ...
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### parallel postulate of Euclidean geometry and curvature

In elementary geometry, we have two standard examples which violate the (strong) parallel postulate of Euclidean geometry: in hyperbolic geometry, we have more than one parallel through a point which ...
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### If $L$ is a line bundle on a scheme $X$, what is the ring $\oplus_{n \geq 0} \Gamma(X, L^{ \otimes n})$?

If $L$ is a line bundle on a scheme $X$, what is the ring $A = \oplus \Gamma(X, L^{ \otimes n})$? This ring comes up in an exercise that I am struggling with right now, and I would like some insight ...