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Mar
17
revised Proof that $f(x)=x^{1/n}$ is continuous.
added 207 characters in body; edited tags; edited title
Mar
17
comment Prove that — the range $R(T)$ of a bounded linear operator $T:X\to Y$ need not be closed in $Y$
Hi, welcome to Math.SE! Please add your thoughts on how to approach the problem and we will be glad to give some hints.
Mar
17
revised Prove that — the range $R(T)$ of a bounded linear operator $T:X\to Y$ need not be closed in $Y$
added 8 characters in body; edited tags; edited title
Mar
17
comment 2 out of 3 or 5 out of 8
@user3344591 exactly.
Mar
17
answered How to resolve this diferential equation $y^2 y^{\prime}=x^3$
Mar
17
comment Calculate the length of the line which represents the function in a plot
@QuanticProgramming Not sure if the one I typed in is so wild really. Under real values of $a$, you get real output. not sure why it is a problem?
Mar
17
answered Calculate the length of the line which represents the function in a plot
Mar
17
answered Is this $f(x)$ answer correct in regards to functions?
Mar
12
comment Integral of composition
Your $f(x)$ is not strictly increasing.
Mar
12
comment Meaning of a regular matrix
@Adam correct, $V$ is indeed the eigenvector matrix (in which you rescale every column to be of norm $1$). Multiplication by $V$ can be seen as changing from the space in which the coordinates are given by the standard basis to the space where the coordinates are given by the eigenvalues, which are also a basis.
Mar
12
comment Meaning of a regular matrix
@GerryMyerson You can interpret singular value decomposition in a similar vein, it is much more general. Even then it won't cover all cases, but it does take care of a very large subclass, and creates intuition to build on for the other ones.
Mar
12
comment Guessing root of polynomials
Fair enough, I agree.
Mar
12
comment Guessing root of polynomials
Entirely giving away what clearly looks like a homework problem is perhaps not the most optimal thing to do the OP's education.
Mar
12
revised Brownian Motion with Optional Stopping Theorem (OST)
added 33 characters in body
Mar
12
answered Meaning of a regular matrix
Mar
12
answered Guessing root of polynomials
Mar
10
comment Maximum and Minimum Values of the function
Your thoughts on the problem?
Mar
10
comment Why surjectivity is defined by “for every $y$,there exist $x$ such that$ f(x)=y$” instead of “$x_1=x_2\Rightarrow f(x_1)=f(x_2)$”
+1 :-) I like a basic propoerty of anything, but still, you have to formally call this class of maps something...
Mar
10
answered Manipulating an expression
Mar
10
comment Why surjectivity is defined by “for every $y$,there exist $x$ such that$ f(x)=y$” instead of “$x_1=x_2\Rightarrow f(x_1)=f(x_2)$”
@user2345215 are you suggesting to rephrase this as a basic property of a relation or a map instead of a function?