Intereting Posts

Computing $\int (1 – \frac{3}{x^4})\exp(-\frac{x^{2}}{2}) dx$
Who discovered the first explicit formula for the n-th prime?
Find $\det(A^{2}+A^{T})$ when eigenvalues are $1,2,3$
Suppose a function $f : \mathbb{R}\rightarrow \mathbb{R}$ satisfies $f(f(f(x)))=x$ for all $x$ belonging to $\mathbb{R}$.
What steps are taken to make this complex expression equal this?
Analytic continuation of factorial function
Find the limit $ \lim_{n \to \infty}\left(\frac{a^{1/n}+b^{1/n}+c^{1/n}}{3}\right)^n$
n-th derivative of exponential function $\;e^{-f(x)}$
If $\gcd(a,b)=1$ and $\gcd(a,c)=1$, then $\gcd(a,bc)=1$
Bijection between binary trees and plane trees?
Quasi Cauchy sequences in general topology?
How to solve the given problem of simple interest?
Edmund Landau's Problems
Show that $R/I\otimes_R R/J\cong R/(I+J)$
Coin flipping probability game ; 7 flips vs 8 flips

What does one do when one needs a lot of symbols and one has exhausted the useful symbols of the latin and greek alphabets? (I say useful symbols because letters like iota (ι) and upsilon (υ) seem too close to “i” and “u” or nu (ν) to be useful.)

What is the next most common list of symbols used in mathematics? Or, does one resort to referring entities in equations using longer words?

- Advanced Linear Algebra courses in graduate schools
- Can I research in complex analysis, PDE and differential geometry without exposure to mathematical physics?
- Efficient ways to read and learn a new topic
- Perspectives on Riemann Surfaces
- What is the correct terminology to say that $\small f(x)=a+bx+cx^2+…$ can be expressed by $\small g(x)=A(1-x)+B(1-x)(2-x)+C(1-x)(2-x)(3-x)+… $
- How does a non-mathematician go about publishing a proof in a way that ensures it to be up to the mathematical community's standards?

- Confused about the $\pm$ sign?
- Proofs that involve Tricks
- Strangest Notation?
- What is mathematical basis for the percent symbol (%)?
- Notation Question: What does $\vdash$ mean in logic?
- How to do well on Math Olympiads
- How to study math to really understand it and have a healthy lifestyle with free time?
- Why do they use $\equiv$ here?
- What is the meaning of $\bigvee$ (bigvee) operator
- When should I use $=$ and $\equiv$?

Aside of the comment to use the Hebrew alphabet, I should add a short story and a remark on notational nightmares:

One of my friends decided that he is annoyed with the usual $x$ and $t$ variables. He submitted a homework assignment in ODE where all the variables were replaced by *full* words or drawings of flowers and buttons. The objects were chosen to fit several Hebrew based jokes.

The homework were graded and returned a week or two later, his grade was good but whoever graded it left a message on the last page:

“

PLEASEDon’t do that again!”

The lesson here is that if you have *too many* variables it might be a good time to re-evaluate your approach to the problem and see if you can write it with less letters. If it ends up incredibly difficult to follow, people will not follow it.

Also, whatever you choose to use make sure it is not something which has a very concrete meaning. Write $f\colon\mathbb R^3\to\mathbb R$ as: $$f(\aleph_1,\aleph_2,\aleph_3)=\aleph_1+\frac{\aleph_2}{\aleph_3}$$

Will probably cause people which are not set theorist to be confused as well.

May this be of inspiration: LaTeX symbols

Careful and appropriate use of subscripts and superscripts is often the best approach. If you truly need to distinguish between 40+ variables, parameters, etc., your readers are going to have a hard time following you without being distracted by unusual symbols. In the case that sub/superscripts won’t work, I would use double-character variables and put spaces in where necessary, e.g., $aa\,bb+ab/ij=cc$. The little space between $aa$ and $bb$ is from `\,`

, maybe an explicit $aa\cdot bb$ is clearer.

- Show {$ ax + by | x, y \in \mathbb{Z}$} = {$n$ gcd$(a,b)|n\in \mathbb{Z}$}
- A fair coin is tossed $n$ times by two people. What is the probability that they get same number of heads?
- What's the probability that we don't have $3$ consecutive heads in $n$ tosses?
- Direct way to show: $\operatorname{Spec}(A)$ is $T_1$ $\Rightarrow$ $\operatorname{Spec}(A)$ is Hausdorff
- Associativity of norms in inseparable extensions
- When the point spectrum is discrete?
- Show that $E(XE)=E$
- Solving a ODE from a diffeomorphism numerically
- Show that $\lim_{n\to\infty}n+n^2 \log\left(\frac{n}{n+1}\right)= 1/2$
- Is there a way to find all roots of a polynomial equation?
- Entire, $|f(z)|\le1+\sqrt{|z|}$ implies $f$ is constant
- Find all unit speed planar curves $\alpha(s)$ such that the angle between $\alpha$ and $\alpha'$ is constant
- convergence of sequence of random variables and cauchy sequences
- What are the convergent sequences in the cofinite topology
- If the unit sphere of a normed space is homogeneous is the space an inner product space?