User:JimColes/sandbox

Jim Coles's Sandbox

Put thoughts and knowledge here, Jimbo.

Math Formulas using LaTex

Accents and diacritics: ${\tilde {a}},{\ddot {a}},{\vec {a}},{\breve {a}},{\acute {a}}$

Symbols and constants: $\infty ,\Re ,\circledS ,(more)$

Foundations

Sets: $\bigcap _{x}^{y}\bigcup \{\}\in \varnothing$ (many more)

Basic Operators: $+,-,\times ,\div ,/,\cdot$

Advanced Operators: $\pm ,\mp ,\dotplus ,\divideontimes ,\backslash ,\circ ,\bullet ,\boxplus ,\boxminus ,\boxtimes ,\boxdot ,\oplus ,\ominus ,\oslash ,\odot ,\circleddash ,\circledcirc ,\circledast \bigoplus _{x}^{y},\bigotimes ,\bigodot$

$\bigoplus$$\bigotimes$$\bigodot$

Modulo Arithmetic: ${\pmod {m}},a{\bmod {b}},\gcd(m,n),\operatorname {lcm} (m,n),\mid ,\nmid ,\shortmid ,\nshortmid$

Exponentials

Terms: $base^{exponent}=power$

The terms base may also be called radix or root.

So, 100 is a power of base 10 since $10^{2}=100$.

Exponential notation: ${x_{2}}^{3}a^{2}a^{2+2}{x_{2}}^{3}x_{2}^{3}10^{10^{8}}f'f''$

Radicals: $\surd ,{\sqrt {2}},{\sqrt[{n}]{2}}$

Standard Functions using general syntax: $\exp _{a},\log _{10},\sin ,\max(x,y)$

Advanced Math

Differential and Integrals:$\sum _{k=1}^{N}\sideset {_{1}^{2}}{_{3}^{4}}\prod _{a}^{b}\int _{}^{}\lim _{n\to \infty }\textstyle \lim _{n\to \infty }\displaystyle \int _{1}^{3}x\iiint xyz\oint x\bigcup _{i=1}^{n}dy/dx{dy \over dx}{\partial ^{2} \over \partial x_{1}\partial x_{2}}yf^{(3)}{\ddot {y}}$

Relations: $\equiv =\neq \not \equiv \doteq \doteqdot {\overset {\underset {\mathrm {def} }{}}{=}}\backsim >\geq \lesseqqgtr \succnapprox$ (and many more)

Greek Alphabet

$\mathrm {A} \alpha \mathrm {B} \beta \Gamma \gamma \Delta \delta \mathrm {E} \epsilon \mathrm {Z} \zeta \mathrm {H} \eta \Theta \theta \mathrm {I} \iota \mathrm {K} \kappa \Lambda \lambda \mathrm {M} \mu \mathrm {N} \nu \Xi \xi \Pi \pi \mathrm {P} \rho \Sigma \sigma \mathrm {T} \tau \Upsilon \upsilon \Phi \phi \mathrm {X} \chi \Psi \psi \Omega \omega \varepsilon \varpi \varrho \vartheta \varphi$

Chemical Formulas

Chemical Formulas

${\ce {Sb2O3}}$

Chemical Equations

${\ce {CO2 + C -> 2 CO}}$

Charges

${\ce {CrO4^2-}}$

Stoichiometry

${\ce {(1/2)H2O, nH2O}}$

Isotopes

${\ce {^{227}_{90}Th+, ^227_90Th+, ^{0}_{-1}n^{-}}}$

Aggregation States

${\ce {H2(aq),CO3^{2}-{}_{(aq)},NaOH(aq,\infty )}}$

Oxidation State

${\ce {Fe^{II}Fe^{III}204}}$

Addition Compound

${\ce {KCr(SO4)2*12H2O}}$