Intuition for interval subtraction
I'm working on a problem that involves some interval arithmetic, and while I can wrap my head around the reasoning for interval addition: the minimum...
Apr 11, 2026 1 VIEWS
Topic: General
5104 Articles 
Del operator in one-dimensional domain.
Question Summary: If the del operator returns a vector, why when he is applied to a function with one-dimensional domain it returns a scalar function? Abo...
Apr 11, 2026 1 VIEWS
How many lines of symmetry does a regular octagon have?
I can do this problem by drawing a picture and lines of symmetry. My question about this problem is what if it is not an octagon, but any regular polygon....
Apr 10, 2026 1 VIEWS
How do I write a vector as a linear combination of other vectors.
Write $\begin{pmatrix} 5 \\ 3 \\15 \end{pmatrix}$ as a linerar combination of the following vectors: $u=\begin{pmatrix} 1 \\ 2 \\5 \end{pmatrix}$, $v=\beg...
Apr 10, 2026 1 VIEWS
Find the exact values of m.
I'm in an American high school but my teacher gave me some IBDP questions and I'm struggling to solve one of them: Find the exact values of $m$ ...
Apr 10, 2026 1 VIEWS
Find the absolute min and max value on given interval
$f(t) = t\sqrt{16 − t^2}$ on interval $[−1, 4]$. I was able to find the critical points which are 2√2 and -2√2. All was left for me to do was to evaluate ...
Apr 10, 2026 1 VIEWS
Translation for EGA/SGA
People often recommend Grothendieck's EGA (Elements de Geometrie Algebrique) and SGA (seminaire de geometrie algebrique) as a good reference for lear...
Apr 10, 2026 1 VIEWS
In the figure, $ABCD$ is a parallelogram.
In the figure, $ABCD$ is a parallelogram. $E$ is the mid point of $AB$. $DF$ and $CF$ are intersected at $F$. Prove that $4\triangle AEF=Quadrilateral ABC...
Apr 10, 2026 1 VIEWS
linear interpolation in 3 dimensions
Say that I have 2 points in 3 dimensional space specified in Euclidean coordinates $p_0(x_0,y_0,z_0)$ and $p_1(x_1,y_1,z_1)$. How would I go about finding...
Apr 10, 2026 2 VIEWS
In what sense are inaccessible cardinals inaccessible?
Another title for this question could be: where do inaccessible cardinals live? It may be that this question does not make any sense. So I will try to exp...
Apr 10, 2026 1 VIEWS
How do you calculate arrival rates and service rates?
If I have to observe a queue at an electronics shop and I need to perform at least 10 observations, how can I determine what the mean rate of arrival is? ...
Apr 10, 2026 1 VIEWS
Usage of capital and small letters
Are there rules for when small, capital and greek symbols are used? Simple example: The volume left in a cube with a sphere in it is V=C-S with capital st...
Apr 10, 2026 1 VIEWS