Math
符号 {symbols}
for | sym | html | latex | cn |
---|---|---|---|---|
plus | + | |||
minus | − | |||
Multiplication | × | |||
Division | ÷ | |||
Not Equal To | ≠ | |||
Plus minus | ± | |||
real number | ℝ | ℝ | 实数 | |
sum | ∑ | ∑ | 求和 | |
Delta | Δ | Δ | ||
Nabla | ∇ | ∇ | 纳布拉 | |
ceiling | ⌈⌉ | ⌈⌉ | ||
floor | ⌊⌋ | ⌊⌋ | ||
Angle Bracket | ⟨ ⟩ | ⟨ ⟩ | ||
Dot Operator | ⋅ | ⋅ | ||
verbar | | |
- Nabla
- gradien
- divergence (∇⋅)
- curl (∇×)
备注
- HTML 使用十进制
∇
, Unicode 使用 十六进制。 - Latex 与 HTML 大多名字相同
- https://en.wikipedia.org/wiki/Mathematical_Operators_(Unicode_block)
- https://en.wikipedia.org/wiki/Mathematical_operators_and_symbols_in_Unicode
- https://unicode-table.com/en/sets/mathematical-signs/
- https://html.spec.whatwg.org/multipage/named-characters.html#named-character-references
- HTML Named Enitties
- https://html.spec.whatwg.org/entities.json
- https://katex.org/docs/support_table.html
Scalar
Vector
- 属性
- length
- distance
- angle
notation | for | mean |
---|---|---|
length | 长度 | |
dot product | 点积 | |
cross product | 叉积 | |
angle | 夹角 |
- vector
- an element of a vector space
- Euclidean vector
- Hilbert space
- Length
- 长度
- Dot product
- 标量积
- 点积
- Cross product
- 矢量积
Matrix
矩阵
Tensor
张量
- rank 0 - scalar - 标量、纯量
- rank 1 - vector - 向量
- rank 2 - matrix - 矩阵
- rank - where
- - 称作 秩 或 阶
- 协变张量 - 指标在下
- 逆变张量 - 指标在上
- 混合张量 - 上下都有指标
FAQ
Matrix vs Vector
- vector 和 1 维 matrix 相似
- 可互换
- 部分计算方式相同
- 两者根本概念不同
- vector
- 可计算为标量 - 一个数值
- matrix
- 计算后也是 matrix