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Jan
19
comment mathematical difference between column vectors and row vectors
Why would you want to not distinguish the two in your program? It seems to me that it would be extra work to have to convert the result to a vector, every time a computation returns a column matrix. In addition, the distinction can make it easier to pinpoint mistakes, like type checking in programming languages.
Jan
19
comment mathematical difference between column vectors and row vectors
As a technical note, this only occurs because you rely on convention to determine which product to compute. If you had specified the operation explicitly, this issue could not occur.
Jan
18
comment What do mathematicians mean by “equipped”
It is worth noting that your formal definition is not actually equivalent to "... a vector space equipped with a inner product." You also specify completeness.
Dec
18
awarded  Commentator
Dec
18
comment What are some applications of elementary linear algebra outside of math?
Wouldn't such scheduling problems be examples of linear programming, rather than linear algebra?
Dec
18
comment What are some applications of elementary linear algebra outside of math?
Matrix algebra is a standard tool used in textbooks about computer graphics, along with quaternions. You only get to use very simple techniques though. I think my knowledge of basic computer graphics actually made it harder for me to understand how general the techniques are. I would expect this to be true for many computer science students (like I was). Math students may not have the same challenge.
Jun
23
awarded  Enthusiast
Jun
14
comment The role of 'arbitrary' in proofs
That is, we are not assuming anything beyond that which we explicitly state.
Jun
11
comment What is integration by parts, really?
Welcome to economics 101. Society's utility from your answer is a function of the demand as well as the quality. ;-)
May
7
comment Improving concentration and stamina when solving difficult problems.
@JackM: I disagree. He is asking about fatigue, not laziness. Fatigue comes from hard work. If he had been lazy, he would not have worn himself out.
Apr
5
comment Feynman/Einstein/etc and Basic Maths
My comment was on the first part of your answer. Yes, some people do in deed perform all basic arithmetic in their heads.
Apr
2
awarded  Critic
Apr
2
comment Feynman/Einstein/etc and Basic Maths
There are a number of competitions in mental arithmetic where people compete at a very high level, using special techniques. A specific mathematician may not know about these techniques but they certainly exist.
Mar
6
comment Can I use the “Secretary Problem” to find the worst candidate, too?
I think I expressed myself incorrectly. What I was trying to convey was that you cannot assume something always works, just because you can't think of a counterexample.
Mar
4
comment Can I use the “Secretary Problem” to find the worst candidate, too?
There is a useful lesson here: When you have an algorithm or a theorem involving an ordering, it usually works for the opposite ordering too (though not always).
Oct
10
answered integer sequences
Oct
3
awarded  Editor
Oct
3
revised Frequency on doing exercises in learning Calculus & Linear Algebra & Probability and so on
deleted 1 characters in body
Oct
2
awarded  Revival
Aug
26
awarded  Teacher