# Index

## Greek letters in math and science

You find hese symbols my equation page.
I took this from Wiki  and adjusted it with comments that I find useful.

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 Symbol Name Formula Αα Alpha Ββ Beta Χχ Chi Εε Epsilon Δ δ= Delta Ηη Eta δ Kronecker delta EFE Einstein Field equations. ∂ Curly d Gamma The Lorenz term in EFE Ιι Iota . H0 Hubble constant Hubble flow v = H0D, with H0 , the constant of proportionality Hubble constant Κκ Kappa Λλ Lambda Λ“Einstein’s cosmological constant, is the energy density of space, or vacuum energy, that arises in Albert Einstein’s field equations of general relativity. It is closely associated to the concept of dark energy. In 1931 Einstein finally accepts the theory of an expanding universe…”) Wiki “Λ=2.036×10−35 s−2. This value of Λ is in excellent agreement with the measurements recently obtained by the High-Z Supernova Team and the Supernova Cosmology Project.” scitation.org Μμ Mu Νν Nu Οο Omicron Ωω Omega Ππ Pi (product) Φφ Phi Ψψ Psi Ρρ Rho Ζζ Zeta Re. =   Ramanujan summation. ( Wiki ) Σσ Sigma Ττ Tau Θθ Theta Ξξ Xi Υυ Upsilon Zeta ζ(s) = 1 + 1/2s + 1/3s + 1/4s + … Riemann’s zeta function ~ About ! factorial 4!=4*3*2*1 ≠ not equal ∞ infinity ∫ Integral

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

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## Constants

Most information has been taken from

### Physical constants

 C Value Name Formula C 299.792.458 m/s ~300.000 km/s Speed of light E=mc2 6.62607015×10−34 J⋅s Plancks constant “to calculate the energy of the electromagnetic wave” E=hf kB 1.38065 × 10−23 J/K Boltzmanns entropy formula

## 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 ∈

## Notebook of a pluralist

Insert math as
$${}$$