百进制计数系统 (2011-08-31 21:13:31)
http://blog.sina.com.cn/s/blog_88c362fb0100t4os.html
数值对照表
下表中,百进制(Hectimal)使用H来表示,十进制(Decimal)使用D来表示。
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
数学实用工具:数学符号大全
1、几何符号
⊥ ‖ ∠ ⌒ ⊙ ≡ ≌ △
2、代数符号
∝ ∧ ∨ ~ ∫ ≠ ≤ ≥ ≈ ∞ ∶
3、运算符号
如加号(+),减号(-),乘号(×或·),除号(÷或/),两个集合的并集(∪),交集(∩),根号(√),对数(log,lg,ln),比(:),微分(dx),积分(∫),曲线积分(∮)等。
4、集合符号
∪ ∩ ∈
5、特殊符号
∑ π(圆周率)
6、推理符号
|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
∈ ∏ ∑ ∕ √ ∝ ∞ ∟ ∠ ∣ ‖ ∧ ∨ ∩ ∪ ∫ ∮
∴ ∵ ∶ ∷ ∽ ≈ ≌ ≈ ≠ ≡ ≤ ≥ ≤ ≥ ≮ ≯ ⊕ ⊙ ⊥
⊿ ⌒ ℃
指数0123:o123
7、数量符号
如:i,2+i,a,x,自然对数底e,圆周率π。
8、关系符号
如“=”是等号,“≈”是近似符号,“≠”是不等号,“>”是大于符号,“<”是小于符号,“≥”是大于或等于符号(也可写作“≮”),“≤”是小于或等于符号(也可写作“≯”),。“→ ”表示变量变化的趋势,“∽”是相似符号,“≌”是全等号,“‖”是平行符号,“⊥”是垂直符号,“∝”是成正比符号,(没有成反比符号,但可以用成正比符号配倒数当作成反比)“∈”是属于符号,“??”是“包含”符号等。
9、结合符号
如小括号“()”中括号“〔〕”,大括号“{}”横线“—”
10、性质符号
如正号“+”,负号“-”,绝对值符号“| |”正负号“±”
11、省略符号
如三角形(△),直角三角形(Rt△),正弦(sin),余弦(cos),x的函数(f(x)),极限(lim),角(∠),
∵因为,(一个脚站着的,站不住)
∴所以,(两个脚站着的,能站住) 总和(∑),连乘(∏),从n个元素中每次取出r个元素所有不同的组合数(C(r)(n) ),幂(A,Ac,Aq,x^n)等。
12、排列组合符号
C-组合数
A-排列数
N-元素的总个数
R-参与选择的元素个数
!-阶乘 ,如5!=5×4×3×2×1=120
C-Combination- 组合
A-Arrangement-排列
13、离散数学符号
├ 断定符(公式在L中可证)
╞ 满足符(公式在E上有效,公式在E上可满足)
┐ 命题的“非”运算
∧ 命题的“合取”(“与”)运算
∨ 命题的“析取”(“或”,“可兼或”)运算
→ 命题的“条件”运算
A<=>B 命题A 与B 等价关系
A=>B 命题 A与 B的蕴涵关系
A* 公式A 的对偶公式
wff 合式公式
iff 当且仅当
↑ 命题的“与非” 运算( “与非门” )
↓ 命题的“或非”运算( “或非门” )
□ 模态词“必然”
◇ 模态词“可能”
φ 空集
∈ 属于(??不属于)
P(A) 集合A的幂集
|A| 集合A的点数
R^2=R○R 关系R的“复合”
(或下面加 ≠) 真包含
∪ 集合的并运算
∩ 集合的交运算
- (~) 集合的差运算
〡 限制
(右下角R) 集合关于关系R的等价类
A/ R 集合A上关于R的商集
元素a 产生的循环群
I (i大写) 环,理想
Z/(n) 模n的同余类集合
r(R) 关系 R的自反闭包
s(R) 关系 的对称闭包
CP 命题演绎的定理(CP 规则)
EG 存在推广规则(存在量词引入规则)
ES 存在量词特指规则(存在量词消去规则)
UG 全称推广规则(全称量词引入规则)
US 全称特指规则(全称量词消去规则)
R 关系
r 相容关系
R○S 关系 与关系 的复合
domf 函数 的定义域(前域)
ranf 函数 的值域
f:X→Y f是X到Y的函数
GCD(x,y) x,y最大公约数
LCM(x,y) x,y最小公倍数
aH(Ha) H 关于a的左(右)陪集
Ker(f) 同态映射f的核(或称 f同态核)
1到n的整数集合
d(u,v) 点u与点v间的距离
d(v) 点v的度数
G=(V,E) 点集为V,边集为E的图
W(G) 图G的连通分支数
k(G) 图G的点连通度
△(G) 图G的最大点度
A(G) 图G的邻接矩阵
P(G) 图G的可达矩阵
M(G) 图G的关联矩阵
C 复数集
N 自然数集(包含0在内)
N* 正自然数集
P 素数集
Q 有理数集
R 实数集
Z 整数集
Set 集范畴
Top 拓扑空间范畴
Ab 交换群范畴
Grp 群范畴
Mon 单元半群范畴
Ring 有单位元的(结合)环范畴
Rng 环范畴
CRng 交换环范畴
R-mod 环R的左模范畴
mod-R 环R的右模范畴
Field 域范畴
Poset 偏序集范畴
+ plus 加号;正号
- minus 减号;负号
± plus or minus 正负号
× is multiplied by 乘号
÷ is divided by 除号
= is equal to 等于号
≠ is not equal to 不等于号
≡ is equivalent to 全等于号
≌ is approximately equal to 约等于
≈ is approximately equal to 约等于号
< is less than 小于号
> is more than 大于号
≤ is less than or equal to 小于或等于
≥ is more than or equal to 大于或等于
% per cent 百分之…
∞ infinity 无限大号
√ (square) root 平方根
X squared X的平方
X cubed X的立方
∵ since; because 因为
∴ hence 所以
∠ angle 角
⌒ semicircle 半圆
⊙ circle 圆
○ circumference 圆周
△ triangle 三角形
⊥ perpendicular to 垂直于
∪ intersection of 并,合集
∩ union of 交,通集
∫ the integral of …的积分
∑ (sigma) summation of 总和
° degree 度
′ minute 分
〃 second 秒
# number …号
@ at 单价
Last edited by zzz19760225 on 2017-5-29 at 15:28 ]
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