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Apr
25
awarded  Nice Answer
Apr
21
comment Formal Proof that $f^{-1} \circ f = id_x \ , \forall f$
On your second line you have an expression on the left side of an implication and a proposition on the right.
Mar
31
answered Quantum Mechanics Project Ideas!!!
Mar
31
comment Number of ways to color paired shoes so that each pair will have different color
In the case where three pairs are differently coloured, I think you might not have counted the way you can colour the remaining pair (both of which will have the same colour).
Mar
29
comment Differing graphs for simple inverse exponential problem
The problem is that there are 9 9th roots of any non-zero number. For positive numbers there's an obvious one that stands out. For negative numbers it's not clear which one you should pick. The real one (like Desmos did) or the first one you meet as you walk anticlockwise around the circle starting at a positive real number (as Mathematica does).
Mar
29
comment Differing graphs for simple inverse exponential problem
The meaning of the -1/9-th power of a negative number is up for debate. However, I think Google is just plain wrong here :-(
Mar
29
comment Gradient of Function
If the $x_i$ and $r_i$ are vectors, it's not clear what $(x_i-r_j)^3$ means. What do you mean by the cube of a vector?
Mar
29
comment Is $\sqrt{-x^2-\frac{1}{x}}$ a rational function?
It's not good enough just to say there can't be a square root. The term inside the square root needs not to be a perfect square.
Mar
29
comment Ordinal numbers
Yes. See section 5.5 of Nick Higham's book on mathematical style: books.google.com/…
Mar
29
answered On the definition of exponential function Complex analysis
Mar
29
comment very basic probability question
Did you mean you choose three balls, one from each box?
Mar
29
comment Fast algorithm to recognize sortable sequences
See cstheory.stackexchange.com/a/4098/381
Mar
29
answered Can every function be represented as polynomial
Mar
28
answered Derivatives of nested/iterated functions.
Mar
28
comment Derivatives of nested/iterated functions.
"spiked"? Maybe you meant to type "piqued".
Mar
24
comment If ${X_n} < \infty$, then $\sup {X_n} < \infty$, True or False?
What range does $n$ live in?
Mar
21
answered Opposite category trivial example
Mar
21
answered A unit in $\mathbb{Z}_{9}[x]$
Mar
10
answered If two definite integrals are equal, does there exist a chain of substitutions and/or partial integrations which will get us from one to the other?
Feb
24
comment What are some algorithms that can be used to test if a number is transcendental or not?
If you're talking about real numbers represented as a stream of digits, say, being transcendental is not a computable property. Any transcendental number is within $\epsilon$ of a number that isn't transcendental so whatever decision you make, carrying on and reading more digits from the stream could change your decision. Having said that, read en.wikipedia.org/wiki/… for a practical algorithm that can find approximate "small" polynomial equations satisfied by reals.