# Index

## Greek letters in math and science

This is a copy from the same section in my equation page.
I took this from Wiki  and adjusted it with comments that I find useful.

 Name and use Name and use Αα Alpha Νν Nu Ββ Beta Ξξ Xi Γγ Gamma Οο Omicron ∂ Curly d In partial derivatives δ Kronecker delta Δ δ= Delta Ππ Pi Εε Epsilon Ρρ Rho Ζζ Zeta Σσς Sigma Ηη Eta Ττ Tau Θθ Theta Υυ Upsilon Ιι Iota Φφ Phi Line maybe curved as slash / Κκ Kappa Χχ Chi Λλ Lambda Ψψ Psi Μμ Mu Ωω Omega Σσ Sigma ≠ not equal ~ About

Source: Wiki

## Meaning in Math

•  → integers.
•  → natural numbers.
•  → primes.
•  → be rational.
•  → get real.
•  → complex number.
•  → quaternions.
•  → sedenions.
•  → imaginary part
•  → real part
•  → Derivative
•  → Differential
•  → euler’s number (natural growth number)
•  → imaginary unit.
•  → notation used by engineers for ⅈ
•  → cardinality of infinite sets.
•  → continuum

## Table of set theory symbols

Symbol Symbol Name Meaning /
definition
Example
{ } set a collection of elements A = {3,7,9,14},
B = {9,14,28}
| such that so that A = {x | xx<0}
A⋂B intersection objects that belong to set A and set B A ⋂ B = {9,14}
A⋃B union objects that belong to set A or set B A ⋃ B = {3,7,9,14,28}
A⊆B subset A is a subset of B. set A is included in set B. {9,14,28} ⊆ {9,14,28}
A⊂B proper subset / strict subset A is a subset of B, but A is not equal to B. {9,14} ⊂ {9,14,28}
A⊄B not subset set A is not a subset of set B {9,66} ⊄ {9,14,28}
A⊇B superset A is a superset of B. set A includes set B {9,14,28} ⊇ {9,14,28}
A⊃B proper superset / strict superset A is a superset of B, but B is not equal to A. {9,14,28} ⊃ {9,14}
A⊅B not superset set A is not a superset of set B {9,14,28} ⊅ {9,66}
2A power set all subsets of A
power set all subsets of A
A=B equality both sets have the same members A={3,9,14},
B={3,9,14},
A=B
Ac complement all the objects that do not belong to set A
A’ complement all the objects that do not belong to set A
A\B relative complement objects that belong to A and not to B A = {3,9,14},
B = {1,2,3},
A \ B = {9,14}
A-B relative complement objects that belong to A and not to B A = {3,9,14},
B = {1,2,3},
A – B = {9,14}
A∆B symmetric difference objects that belong to A or B but not to their intersection A = {3,9,14},
B = {1,2,3},
A ∆ B = {1,2,9,14}
A⊖B symmetric difference objects that belong to A or B but not to their intersection A = {3,9,14},
B = {1,2,3},
A ⊖ B = {1,2,9,14}
a∈A element of,
belongs to
set membership A={3,9,14}, 3 ∈ A
x∉A not element of no set membership A={3,9,14}, 1 ∉ A
(a,b) ordered pair collection of 2 elements
A×B cartesian product set of all ordered pairs from A and B
|A| cardinality the number of elements of set A A={3,9,14}, |A|=3
#A cardinality the number of elements of set A A={3,9,14}, #A=3
| vertical bar such that A={x|3<x<14}
congruency 3 is cogruent to 15 in modulo 12
(modular arithmetic)
3 ≡ 15 (mod12)
0 aleph-null infinite cardinality of natural numbers set
1 aleph-one cardinality of countable ordinal numbers set
Ø empty set Ø = {} A = Ø
universal set set of all possible values
0 natural numbers / whole numbers  set (with zero) 0 = {0,1,2,3,4,…} 0 ∈ 0
1 natural numbers / whole numbers  set (without zero) 1 = {1,2,3,4,5,…} 6 ∈ 1
integer numbers set  = {…-3,-2,-1,0,1,2,3,…} -6 ∈
rational numbers set  = {| x=a/ba,b and b≠0} 2/6 ∈
real numbers set  = {x | -∞ < x <∞} 6.343434 ∈
complex numbers set  = {| z=a+bi, -∞<a<∞,      -∞<b<∞} 6+2i ∈

## A agnostic pluralist seeker

Insert math as
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