Index
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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
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Double-struck capital letters in math
Source: http://xahlee.info/comp/unicode_math_font.html
Meaning in Math
- ℤ → integers.
- ℕ → natural numbers.
- ℙ → primes.
- ℚ → be rational.
- ℝ → get real.
- ℂ → complex number.
- ℍ → quaternions.
- → sedenions.
- ℑ → imaginary part
- ℜ → real part
- ⅅ → Derivative
- ⅆ → Differential
- ⅇ → euler’s number (natural growth number)
- ⅈ → imaginary unit.
- ⅉ → notation used by engineers for ⅈ
- ℵ → cardinality of infinite sets.
- ℭ → continuum
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Table of set theory symbols
Taken and adapted from www.rapidtables.com
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 | x∈, x<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} |
2^{A} | 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 |
A^{c} | 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) |
ℵ_{0} | aleph-null | infinite cardinality of natural numbers set | |
ℵ_{1} | aleph-one | cardinality of countable ordinal numbers set | |
Ø | empty set | Ø = {} | A = Ø |
universal set | set of all possible values | ||
ℕ_{0} | natural numbers / whole numbers set (with zero) | _{0} = {0,1,2,3,4,…} | 0 ∈ _{0} |
ℕ_{1} | natural numbers / whole numbers set (without zero) | _{1} = {1,2,3,4,5,…} | 6 ∈ _{1} |
ℤ | integer numbers set | = {…-3,-2,-1,0,1,2,3,…} | -6 ∈ |
ℚ | rational numbers set | = {x | x=a/b, a,b∈ and b≠0} | 2/6 ∈ |
ℝ | real numbers set | = {x | -∞ < x <∞} | 6.343434 ∈ |
ℂ | complex numbers set | = {z | z=a+bi, -∞<a<∞, -∞<b<∞} | 6+2i ∈ |