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24
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May
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Oct
21
comment Construct a function which is continuous in $[1,5]$ but not differentiable at $2, 3, 4$
Took me a minute
Oct
5
comment Common Einstein Notation Identities
@NieldeBeaudrap they weren't meant to be complex examples. For instance working out $A(u)\times A(v)$ where $R$ is 3-by-3 matrix takes a few moments and is something I've encountered a few times.
Oct
5
asked Common Einstein Notation Identities
Sep
16
awarded  Yearling
Sep
9
revised Finding a function's domain from the function's formula
added 128 characters in body
Sep
9
comment Finding a function's domain from the function's formula
@jorki, you are right, its a little late here so I confused the example in my head with the actual example given in the OP.
Sep
9
answered Finding a function's domain from the function's formula
Sep
9
asked Handedness Convention for Pauli Matrices/Quaternions as rotations in 3-space
Jul
24
accepted Definition of Ring Vs Rng
Jul
16
accepted Is it acceptable to use the term “Algebra of the Real Numbers”
Jul
15
asked Is it acceptable to use the term “Algebra of the Real Numbers”
Jul
8
revised What's wrong with me?
edited tags
Jul
6
comment You see a route 14 bus on the moon. What is the most likely number of bus routes on the moon?
As a school prank you release 3 greased pigs into the school with the numbers 1,2, and 4 painted in bold letters on their backs. What is the most likely number of pigs from the point of view of the school administrator?
Jul
6
comment Prove in full detail that the set is a vector space
@Jyrki I agree and I believe that most reasonable instructors would agree as well. However if this ambiguous wording had come up on an exam I would certainly ask the professor if we are allowed to use any theorem presented in the course. After all, there are much quicker and easier ways to prove that it is a vector space than even the subspace theorem (See Bill Dubuque's answer)
Jul
6
comment Prove in full detail that the set is a vector space
@Virtuoso the key phrase Prove in Full Detail suggests to me that the test wants you to show all the vector space axioms, you might be marked down on an exam if you prove by showing its a subspace.
Jul
6
comment Prove in full detail that the set is a vector space
@Virtuoso Typically you are not allowed to use theorems and concepts that have not been covered up to that point in class. If you are unfamiliar (i.e. it hasn't been covered yet) with the concept of a subspace then you should show all the axioms. Since a subspace is a vector space in its own right, you only need to prove that this set constitutes a subspace of $\mathbb{R}^2$ - it contains 0, closed under addition, and closed under scalar multiplication.