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Apr
5
comment What does the notation $\mathbb R[x]$ mean?
$\mathbb R[x]$ couldn't possible mean $\mathbb R^n$. The notation $\mathbb R^n$ includes a variable $n$ which appears nowhere in the notation $\mathbb R[x]$.
Apr
4
revised Why exponent of exponent multiplied?
edited tags
Apr
3
comment Why only the numerator is derived?
To whom it may concern: please don't downvote questions because you think they're elementary.
Apr
3
reviewed Reject Why only the numerator is derived?
Apr
3
answered Is every integer a unary operation?
Apr
3
comment Finding the curvature of a line.
Not every curve can be aligned with a circle. Unless what you're really asking is "given the width/height of a circular arc, how can I determine how big the circle it's from is?".
Apr
2
comment Why is the construction of the real numbers important?
@industry7 That would certainly be another approach to motivating the concept of a real number. I chose my "if you needed a square root of two, you'd just pick an approximation" story because it's purely arithmetical (even if I chose to illustrate it with geometry). We just seem to be using the word "obvious" in different ways.
Apr
2
comment Why is the construction of the real numbers important?
@AsafKaragila If rationals are just equivalence classes, how do you justify their relation to the real world? How do you justify that chopping something into three pieces gives $1/3$ of what you originally have? Also, you then have to simply define the operations somewhat arbitrarily, when deep down you secretly know that those operations can be proven (informally, but still convincingly) to be correct. This dissonance between the formalization and your intuition means that the formalization isn't really useful, and rationals are pretty much just fundamental objects.
Apr
2
comment Why is the construction of the real numbers important?
@user21820 I explicitly constructed such an oracle in the post.
Apr
2
awarded  Good Answer
Apr
2
revised Why is the construction of the real numbers important?
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Apr
1
revised Why is the construction of the real numbers important?
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Apr
1
awarded  Nice Answer
Apr
1
revised Why is the construction of the real numbers important?
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Apr
1
answered Why is the construction of the real numbers important?
Apr
1
revised Duplicated Number Perfect Squares
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Apr
1
revised Duplicated Number Perfect Squares
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Apr
1
answered Duplicated Number Perfect Squares
Mar
31
comment Description of $\mathbb Z/p^2\mathbb Z$ as an extension of $\mathbb Z/p\mathbb Z$
@hardmath Oh, right. That's what I meant.
Mar
31
asked Description of $\mathbb Z/p^2\mathbb Z$ as an extension of $\mathbb Z/p\mathbb Z$