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Apr
22
revised Evaluate $\int\frac{x^2}{\sqrt{1+x+x^2}}\,dx$
added 33 characters in body
Apr
1
revised Prove that the set of all finite sequences of real numbers has the same cardinality as the set $\mathbb{R}$ of reals.
LaTex
Apr
1
comment Is this statement correct $f(n) = \theta(n) \land g(n) = \Omega(n) \Longrightarrow f(n)g(n) = \Omega(n^2)$?
@Rinzler yes indeed
Apr
1
answered Is this statement correct $f(n) = \theta(n) \land g(n) = \Omega(n) \Longrightarrow f(n)g(n) = \Omega(n^2)$?
Mar
18
comment How do I solve this equation when x approaches zero?
Do you know Taylor series or L"Hospital's Rule? Both would work here...
Mar
17
answered Show that a set is linearly independent
Mar
9
reviewed Approve Would I apply max/min to find out how many of each bird to get 200 birds for $200?
Mar
9
comment Solve the Lagrangian dual problem
@e2l3n I don't think so, but it's been a while since i looked at these
Mar
4
revised The Square Root of a Positive Irrational is Irrational
added 19 characters in body
Mar
4
answered How to integrate this equation $\int x^3 \cos(2x^2-5) dx$
Mar
4
revised How to integrate this equation $\int x^3 \cos(2x^2-5) dx$
edited title
Mar
4
answered What does the Taylor's Inequality mean?
Mar
4
reviewed Approve Are there many fewer rational numbers than reals?
Mar
4
comment Does the series $\sum_{n=1}^{\infty} \frac{(-1)^n}{n(\sin(n)+2)}$ converge or diverge?
+1, Nice problem :)
Feb
24
answered Row space and Column space and product of matrices question
Feb
24
comment Is there something wrong with my interchanging of sums and integrals?
@DDaren please see the update - sum is still incorrect
Feb
24
revised Is there something wrong with my interchanging of sums and integrals?
added 376 characters in body
Feb
24
comment Is there something wrong with my interchanging of sums and integrals?
@DDaren yes, it is
Feb
24
comment Is there something wrong with my interchanging of sums and integrals?
@DDaren see no easy way to simplify this, will definitely depend on $A(\cdot)$. Note that it is $$a_1 + 2 a_2 + \ldots x A(x) = A(x) + A(x)-a_1 + A(x)-a_1-a_2 \ldots$$ perhaps this will take you somewhere... not sure how to evaluate this exactly...
Feb
24
answered Is there something wrong with my interchanging of sums and integrals?