Questions tagged [notation]

Question 1

I have been working for 45 years on observing empirical human dynamics and collaborative systems. I am seeking to formalize a "Logic of Exploitation" ($LE$) intended for behavioral auto-...

Question 2

I hate graph theoretical notations. They follow no discernible pattern and are confusing as hell. Pretty much every Greek letter have one (or several) graph invariant associated to it$^\star$. I want ...

Question 3

I want to generalise the outer product as a pedagogical bridge to multilinear algebra (without jumping straight into the abstract formalisms), and eventually demonstrating the limitations of the ...

Question 4

At school in 1975, we were introduced to measuring angles in radians. The symbol used then was a sort of small c written as a superscript, e.g. as in the expression below $$ \theta \; = \; \dfrac{\pi}{...

Question 5

Here is the original equation I am dealing with - I am having difficulty trying to understand it. Specifically, the subscripts (i.e. $t+1|I_t$ and $Y_1|I_0$ ) on both sides confuse me: $$f_{Y_{t+1}|...

Question 6

This page is from Measure and category by John C. Oxtoby page 20. What is the meaning of this symbol? I added a red line under it. There is no definition of this symbol in this book, so I couldn't ...

Question 7

When studying linear algebra, I have noticed that different authors use different mathematical objects when defining linear dependence and independence, and I am trying to understand whether these ...

Question 8

I was playing around with a function in set theory, and I came out with this function : $S(\emptyset) = \lbrace\emptyset \rbrace $ $S(S(\emptyset)) = \lbrace \emptyset, \lbrace\emptyset \rbrace \...

Question 9

Just a quick question here, is it common to or does it make any sense to integrate using a partial derivative $\partial x$ rather than just $dx$? Like this: $$\int f(x,y)\partial x$$ I would guess ...

Question 10

Recently, I've been working on a presentation of some of the basics of topos theory using internal language (current draft here). One thing I've run across there is that I frequently need to take a ...

Question 11

This is a doubt that arose while studying the tensor product representation of lie algebra. The normalization condition for the generators in any given representation is written as : $$\langle T_{a}|...

Question 12

I got a simple math problem but I find the notation confusing. How do you interpret the question? \begin{aligned} & \text{zij } \vec{r}:\mathbb{R}\to\mathbb{R}^3\text{ gegeven door} \\ & &...

Question 13

I am using Linear Algebra by Arnold Insel, Lawrence E. Spence, and Stephen H. Friedberg. Definition. Let $β = \{u_1, u_2,...,u_n\}$ be an ordered basis for a finite dimensional vector space $V.$ For $...

Question 14

Suppose that $\mathcal{F}_n$ are sub-$\sigma$-fields of a $\sigma$-field $\mathcal{F}$, one of the assignment problems in a probability class asks us to show that if $\mathcal{F}_n\uparrow\mathcal{F}$ ...

Question 15

I apologize in advance if the question is too soft! I have always been used (and now don't even recall how it started) to denote the unitary imaginary by $\mathrm{i}$ and the Napier constant by $\...

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Questions tagged [notation]

Formalizing Behavioral Stability: A Proposed Model ($LE = R \cdot (L \oplus Lu) \implies \sigma_{\infty}$) [closed]

What would be a better notation for the independence/clique number of a graph?

Outer Product Notation Generalisation

Is the old radian symbol (a superscript "c") now defunct?

How to rewrite this probability equation?

The meaning of the symbol $A^{-\prime-\prime}$, where $A$ is a set

Sets, indexed sets, sequences, or families — what is the right object for linear (in)dependence?

Trying to figure out a function in set theory formally

Can you do an integral with a partial differential?

Is there standard notation for forming a subobject of $X$ based on a closed term of type $PX$?

Correct Interpretation of Equations with Indices

Ambiguous notation: $\left|\frac{\mathrm d}{\mathrm dt}\vec{r}(g(0))\right|$ [closed]

What does the notation $[f(T)]_\beta^\gamma$ mean?

Notation meaning for $\mathcal{F}_n\uparrow \mathcal{F}$ where $\mathcal{F}_n$ and $\mathcal{F}$ are $\sigma$-fields

Should I write $\mathrm{i}$ or $i$? Should I write $\mathrm{e}$ or $e$? [closed]

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