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comment Is 'Algebraic Number Theory' the study of the theory of algebraic numbers, or is it the study of the theory of numbers from an algebraic viewpoint?
@ZevChonoles In other words, the name satisfies the law of associativity.
May
20
revised Can anyone help me solve this?
added 491 characters in body
May
20
comment Proving the following number is real
The heart of it is: 1) to show that something is real, show that it equals its own conjugate, and 2) for numbers on the unit circle, the conjugate is the same as the inverse.
May
20
comment Can anyone help me solve this?
@Al3 Well, I left that unsolved deliberately. The key is that a tap pumps out the same volume of water every hour, so if you write $v$ for that volume, and $V$ is the volume of the pool, the pool will fill up in $V/v$ hours.
May
20
answered Can anyone help me solve this?
May
19
comment What is zero? Irrational or rational or it have both the properties?
Or less trivially, $2=\frac {\sqrt 8} {\sqrt 2}$
May
19
comment Decomposition for a Sum of Matrix Products
Is $X'$ the transpose?
May
18
comment What is meant by a stopping time?
You may find this question helpful.
May
18
comment Books that start with questions?
I remember coming across an introductory group theory book once that was literally nothing but questions (a textbook, not an exercise book), but I can't remember what it was called.
May
17
comment Is there active research in trigonometry?
What do you mean by "modern values"? Furthermore, the fact that a problem is unsolved doesn't mean it's being actively researched.
May
17
comment Is there active research in trigonometry?
@NasuSama You sure about that?
May
17
answered Trouble understanding what a measure-zero set is.
May
17
comment Trouble understanding what a measure-zero set is.
What exactly do you mean when you say you don't understand what this means? Do you at least know the definition of a zero-measure set?
May
16
comment Are there mathematical objects that have been proved to exist but cannot be described in words?
Not only do you need to specify what you mean by "described", you need to define "exists". The intuitionist point of view is that when we're talking about mathematical objects, if you can't describe it, it doesn't exist - that imaginary objects are only conjured into existence by our describing them explicitly. From that point of view, what you're looking for is impossible.
May
16
answered A question of a video of real analysis: prove that $\overline A$ is closed.
May
13
awarded  Nice Answer
May
12
answered Theorem 1 in Khinchin's “Continued Fractions”
May
12
answered The number of elements in a set
May
12
reviewed Leave Open How to detect all points of rectangle by given one point A, height, width, and angle between AC and X axis?
May
12
comment Theorem 1 in Khinchin's “Continued Fractions”
Yes, but the situation to which formula (6) is applied in the proof of Theorem 1 doesn't seem to be of that form.