5,251 reputation
1143
bio website researchinpractice.wordpress.…
location
age
visits member for 3 years
seen Jul 16 at 4:18

Jul
8
awarded  Yearling
Jul
2
awarded  Curious
Jul
2
awarded  Inquisitive
Jun
23
awarded  Popular Question
Jun
17
accepted Does the data of Galois group, ramified places, and inertia groups, determine a Galois number field?
Jun
16
asked Does the data of Galois group, ramified places, and inertia groups, determine a Galois number field?
Jun
16
answered If p and q are distinct prime numbers, it is true that we always have $p^{q-1}+q^{p-1} \equiv 1 \mod pq$?
Jun
16
comment If p and q are distinct prime numbers, it is true that we always have $p^{q-1}+q^{p-1} \equiv 1 \mod pq$?
1 is not generally considered to be prime.
Jun
12
awarded  Popular Question
May
22
comment why do equations work and how do they relate to each other?
I am shying away from a downvote, but I think that this answer is unhelpful to the OP. The OP has expressed discomfort regarding the relationship between $x+5=8$ and $x=3$. This indicates the need for engagement at a very fundamental level of understanding of what equations are (cf. the question title). Talk of functions and injectivity introduces concepts into the discussion that the OP is going to have to work hard to understand what they even have to do with his/her question.
May
22
comment why do equations work and how do they relate to each other?
The people who have answered in terms of functions see the transformation of one equation to another as applying a function to both sides of the equation. This is mathematically legit, but it's clear that it is not helping you, and I hope that others answer the question in ways that are more directly engaged with what's bothering you.
May
22
comment why do equations work and how do they relate to each other?
+1 I love this question. It's right at the boundary between what you understand and what you don't but want to understand. This boundary is exactly where all the action of learning takes place. Math.SE community, let's show nachos that they've come to the right place!
May
22
awarded  Benefactor
May
22
accepted Determining if these surjections have sections
May
22
revised Matrix inequality for square matrices
added 24 characters in body
May
22
revised Matrix inequality for square matrices
edited to account for changes in the question
May
22
revised Matrix inequality for square matrices
found a better link to explain the polarization identity in the complex vector space context
May
22
answered Matrix inequality for square matrices
May
20
comment Determining if these surjections have sections
+1 Thanks, beautiful.
May
20
answered Determining if these surjections have sections