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 Jul22 awarded Popular Question Jun8 awarded Constituent May4 awarded Nice Answer Oct21 comment Construct a function which is continuous in $[1,5]$ but not differentiable at $2, 3, 4$ Took me a minute Oct5 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. Oct5 asked Common Einstein Notation Identities Sep16 awarded Yearling Sep9 revised Finding a function's domain from the function's formula added 128 characters in body Sep9 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. Sep9 answered Finding a function's domain from the function's formula Sep9 asked Handedness Convention for Pauli Matrices/Quaternions as rotations in 3-space Jul24 accepted Definition of Ring Vs Rng Jul16 accepted Is it acceptable to use the term “Algebra of the Real Numbers” Jul15 asked Is it acceptable to use the term “Algebra of the Real Numbers” Jul8 revised What's wrong with me? edited tags Jul6 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? Jul6 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) Jul6 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. Jul6 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. Jul5 asked Help Identify this Pattern in the coefficients of a polynomial