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Why "cylinder sets"?
If $I$ is any set of indexes, we define $E^I=\{(x_i)_{i\in I}:x_i\in E\,\,\forall i\in I\}$, $E$ being any set. Subsets of $E^I$ of the form $C_J=\{x_i\in...
Apr 14, 2026
Archive: News
news
How to define a connection on the dual bundle?
I'm reading Terence Tao's blog and he says Once one has a connection on a bundle $V$, one automatically can define a connection on the dual bund...
Apr 14, 2026
news
$E(X)=0, E(X^2)=2,E(X^4)=4$ MSQ
Suppose $X$ is a random variable such that $E(X)=0, E(X^2)=2,E(X^4)=4$. Then which are true? A. $E(X^3)=0$ B. $P(X\geq 0)=\dfrac{1}{2}$ C. $X\thicksim N(0...
Apr 14, 2026
news
Determine if a Rectangle is Inside, Overlaps, Doesn't Overlaps Another Rectangle
Using the center's x- and y-coordinates, width and length of each rectangle, determine if the second rectangle is inside, overlaps or doesn't ov...
Apr 14, 2026
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How can this English sentence be translated into a logical expression? ( Translating " unless")
You cannot ride the roller coaster if you are under 4 feet tall unless you are older than 16 years old. Let: $P$ stands for "you can ride the roller coast...
Apr 14, 2026
news
Notation: is a factor of
How can one write $x$ is a factor of $y$ (as a constraint)? I am also not sure what else to add to meet the question quality requirements.
Apr 14, 2026
news
Get a line segment on the line parallel to another line segment
Suppose I have 3 points. A and B and a C. I want the line segment throu C, parallel to the line on which A and B are. In the image above I want the A'...
Apr 14, 2026
news
Is $\cot(x)=\frac{1}{\tan(x)}$?
I just found in some place say that $\cot(x)=\frac{1}{\tan(x)}$. If you think about it as a function they are definitely not same. but if you think about ...
Apr 14, 2026
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Maclaurin Series of $1/(1-x)$ derived from maclaurin series of $(1+x)^n$
Is there a way to derive the Maclaurin series for $\frac{1}{(1-x)}$ after finding the Maclaurin series for $(1+x)^n$ which is $\displaystyle\sum\limits_{k...
Apr 14, 2026
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why do we use 'non-increasing' instead of decreasing?
In english based math language it seems that non-increasing $\Longleftrightarrow$ less or equal (non-strict decreasing) decreasing $\Longleftrightarrow$ s...
Apr 14, 2026
