Hectimal Counting System (2011-08-31 21:13:31)
http://blog.sina.com.cn/s/blog_88c362fb0100t4os.html
Numerical Comparison Table
In the table below, hectimal (Hectimal) is represented by H and decimal (Decimal) by D.
H D H D
0 0 ο 50
1 1 π 51
2 2 ρ 52
3 3 σ 53
4 4 τ 54
5 5 υ 55
6 6 φ 56
7 7 χ 57
8 8 ψ 58
9 9 ω 59
A 10 甲 60
B 11 乙 61
C 12 丙 62
D 13 丁 63
E 14 戊 64
F 15 己 65
G 16 庚 66
H 17 辛 67
I 18 壬 68
J 19 癸 69
K 20 子 70
L 21 丑 71
M 22 寅 72
N 23 卯 73
O 24 辰 74
P 25 巳 75
Q 26 午 76
R 27 未 77
S 28 申 78
T 29 酉 79
U 30 戍 80
V 31 亥 81
W 32 赵 82
X 33 钱 83
Y 34 孙 84
Z 35 李 85
α 36 周 86
β 37 吴 87
γ 38 郑 88
δ 39 王 89
ε 40 冯 90
ζ 41 陈 91
η 42 褚 92
θ 43 卫 93
ι 44 蒋 94
κ 45 沈 95
λ 46 韩 96
μ 47 杨 97
ν 48 朱 98
ξ 49 秦 99
Mathematical Utility Tools: Mathematical Symbols Collection
1. Geometric Symbols
⊥ ‖ ∠ ⌒ ⊙ ≡ ≌ △
2. Algebraic Symbols
∝ ∧ ∨ ~ ∫ ≠ ≤ ≥ ≈ ∞ ∶
3. Operational Symbols
Such as plus sign (+), minus sign (-), multiplication sign (× or ·), division sign (÷ or /), union of two sets (∪), intersection (∩), square root (√), logarithm (log, lg, ln), ratio (:), differential (dx), integral (∫), line integral (∮), etc.
4. Set Symbols
∪ ∩ ∈
5. Special Symbols
∑ π (pi)
6. Inference Symbols
|a| ⊥ ∽ △ ∠ ∩ ∪ ≠ ≡ ± ≥ ≤ ∈ ←
↑ → ↓ ↖ ↗ ↘ ↙ ‖ ∧ ∨
&; §
① ② ③ ④ ⑤ ⑥ ⑦ ⑧ ⑨ ⑩
Γ Δ Θ ∧ Ξ Ο ∏ ∑ Φ Χ Ψ Ω
α β γ δ ε ζ η θ ι κ λ μ ν
ξ ο π ρ σ τ υ φ χ ψ ω
Ⅰ Ⅱ Ⅲ Ⅳ Ⅴ Ⅵ Ⅶ Ⅷ Ⅸ Ⅹ Ⅺ Ⅻ
ⅰ ⅱ ⅲ ⅳ ⅴ ⅵ ⅶ ⅷ ⅸ ⅹ
∈ ∏ ∑ ∕ √ ∝ ∞ ∟ ∠ ∣ ‖ ∧ ∨ ∩ ∪ ∫ ∮
∴ ∵ ∶ ∷ ∽ ≈ ≌ ≈ ≠ ≡ ≤ ≥ ≤ ≥ ≮ ≯ ⊕ ⊙ ⊥
⊿ ⌒ ℃
Exponents 0123: o123
7. Quantity Symbols
Such as: i, 2+i, a, x, natural logarithm base e, pi π.
8. Relation Symbols
Such as "=" is equal sign, "≈" is approximate symbol, "≠" is not equal sign, ">" is greater than sign, "<" is less than sign, "≥" is greater than or equal to sign (also written as "≮"), "≤" is less than or equal to sign (also written as "≯"). "→" indicates the trend of variable change, "∽" is similar symbol, "≌" is congruent sign, "‖" is parallel sign, "⊥" is perpendicular sign, "∝" is proportional to sign, (there is no inverse proportional sign, but it can be regarded as inverse proportional with reciprocal of proportional to sign), "∈" is belongs to sign, "??" is "contains" sign, etc.
9. Combining Symbols
Such as small parentheses "()", medium parentheses "〔〕", large parentheses "{}", horizontal line "—"
10. Property Symbols
Such as plus sign "+", minus sign "-", absolute value sign "| |", plus-minus sign "±"
11. Omission Symbols
Such as triangle (△), right triangle (Rt△), sine (sin), cosine (cos), function of x (f(x)), limit (lim), angle (∠),
∵ because, (one foot standing, can't stand)
∴ so, (two feet standing, can stand) Sum (∑), product (∏), all different combination numbers when taking r elements from n elements (C(r)(n) ), power (A, Ac, Aq, x^n), etc.
12. Permutation and Combination Symbols
C - combination number
A - permutation number
N - total number of elements
R - number of elements involved in selection
! - factorial, such as 5! = 5×4×3×2×1 = 120
C - Combination - combination
A - Arrangement - permutation
13. Discrete Mathematics Symbols
├ assertion symbol (formula is provable in L)
╞ satisfaction symbol (formula is valid on E, formula is satisfiable on E)
┐ negation operation of proposition
∧ conjunction ("and") operation of proposition
∨ disjunction ("or", "inclusive or") operation of proposition
→ conditional operation of proposition
A<=>B equivalence relation between proposition A and B
A=>B implication relation between proposition A and B
A* dual formula of formula A
wff well-formed formula
iff if and only if
↑ NAND operation of proposition ("NAND gate")
↓ NOR operation of proposition ("NOR gate")
□ modal word "necessary"
◇ modal word "possible"
φ empty set
∈ belongs to (?? does not belong to)
P(A) power set of set A
|A| number of elements of set A
R^2=R○R composition of relation R
(or with ≠ below) proper inclusion
∪ union operation of sets
∩ intersection operation of sets
- (~) difference operation of sets
〡 restriction
(subscript R) equivalence class of set about relation R
A/ R quotient set of set A about R
cyclic group generated by element a
I (capital i) ring, ideal
Z/(n) set of congruence classes modulo n
r(R) reflexive closure of relation R
s(R) symmetric closure of relation
CP theorem of proposition deduction (CP rule)
EG existence generalization rule (existential quantifier introduction rule)
ES existential quantifier specification rule (existential quantifier elimination rule)
UG universal generalization rule (universal quantifier introduction rule)
US universal specification rule (universal quantifier elimination rule)
R relation
r compatibility relation
R○S composition of relation and relation
domf domain (domain) of function
ranf range of function
f:X→Y f is a function from X to Y
GCD(x,y) greatest common divisor of x,y
LCM(x,y) least common multiple of x,y
aH(Ha) left (right) coset of H about a
Ker(f) kernel of homomorphism f (also called f homomorphism kernel)
set of integers from 1 to n
d(u,v) distance between point u and point v
d(v) degree of point v
G=(V,E) graph with vertex set V and edge set E
W(G) number of connected components of graph G
k(G) vertex connectivity of graph G
△(G) maximum vertex degree of graph G
A(G) adjacency matrix of graph G
P(G) reachability matrix of graph G
M(G) incidence matrix of graph G
C complex number set
N natural number set (including 0)
N* positive natural number set
P prime number set
Q rational number set
R real number set
Z integer set
Set category of Set
Top category of topological spaces
Ab category of abelian groups
Grp category of groups
Mon category of monoids
Ring category of rings with identity (associative)
Rng category of rings
CRng category of commutative rings
R-mod category of left modules over ring R
mod-R category of right modules over ring R
Field category of fields
Poset category of partially ordered sets
+ plus plus sign; positive sign
- minus minus sign; negative sign
± plus or minus plus-minus sign
× is multiplied by multiplication sign
÷ is divided by division sign
= is equal to equal sign
≠ is not equal to not equal sign
≡ is equivalent to congruent sign
≌ is approximately equal to approximately equal to
≈ is approximately equal to approximately equal to sign
< is less than less than sign
> is more than greater than sign
≤ is less than or equal to less than or equal to
≥ is more than or equal to greater than or equal to
% per cent percent...
∞ infinity infinity sign
√ (square) root square root
X squared X squared
X cubed X cubed
∵ since; because because
∴ hence so
∠ angle angle
⌒ semicircle semicircle
⊙ circle circle
○ circumference circumference
△ triangle triangle
⊥ perpendicular to perpendicular to
∪ intersection of union, union set
∩ union of intersection, intersection set
∫ the integral of … integral of...
∑ (sigma) summation of summation
° degree degree
′ minute minute
〃 second second
# number … number...
@ at at price