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Apr
17
answered Why does the result follow?
Apr
17
comment Insights in solving systems of eqn?
The for the moment forget about $I_3AI_4$, whatever that is. Try to obtain new - simpler - equations by adding / subtracting known equations. For example, add the first and third to immediately see what $x_3$ must be ...
Apr
17
answered If $xy=x^{-1}y^{-1}$, does this imply $x=x^{-1}$
Apr
17
comment Dual Vector Space embedding
In the first line you ask for an embedding, in the last line for a natural embedding. These are different questions (and have different answers).
Apr
17
comment Logarithm of a negative number
Nothing. You dropped the condition "whenever $a,b>0$" from the full steatement of the identity.
Apr
17
answered Continuity of 1/x
Apr
17
comment When do eigenvectors converge?
If $\{v_n\}_{n\in\mathbb N}$ is a sequence such that $A_nv_n=\lambda v_n$, it is not necessarily the case that $v_n$ converges in the first place. Think of $A=A_n=I$, $\lambda=\lambda_n=1$ for all $n$ and $v_n$ some "random" sequence.
Apr
17
comment Every integer greater than 1 is divisible by at least one prime. Can anyone please express this in logical notation
Do you have predicates for "is integer", "is greater than", "divides", "is prime" and a constant symbol for "1" available?
Apr
17
answered Exercises in combinatorics
Apr
17
comment Exercises in combinatorics
Where do cycles come from in 3)?
Apr
17
comment Irrationality of $\pi$ and circumference to diameter ratio.
Note that $\frac13$ also has "never ending numbers after decimal". This doesn't contradict the fact that $\frac13$ is finite.
Apr
17
answered Explain “There is a unique function from $\emptyset$ to any set $A$”.
Apr
17
answered How would Intermediate Value Theorem be used in this question?
Apr
17
revised How would Intermediate Value Theorem be used in this question?
added 8 characters in body
Apr
16
comment exercise involving exactness
I assume here monomorphism only means left-cancelable?
Apr
16
answered Regular Expressions Help
Apr
16
comment Application of computers in higher mathematics
Actually, a mathematican would often rather observe some interesting properties and from them go back to look for suitable axioms :)
Apr
16
comment If $a^2+b^2=1$ where $a,b>0$ then find the minimum value of $(a+b+{1\over{ab}})$
Well stat looks a lot like caclulus
Apr
16
comment cardinality with finite sets
You do use transitivity, but to conclude $A\subseteq C$.
Apr
16
comment A question about entire function.
There is an even more elementary solution, not to say trivial ... Btw., how do you find entire functions with poles?