[Thesis Writing] Symbols: Multiplication of matrices and vectors, inner product, dot product, etc.

[Thesis Writing] Symbols: matrix, vector multiplication, inner product, dot product, etc.

1. Matrix multiplication

1.1 Matrix product

Matrix product (also called matmul product).

• Symbol: $\cdot or$ omit ( $\cdot$ 或 省略)
• official
  

1.2 Matrix Haderm product

Hadamard product(又称element-wise product)。

• Symbol: Use $\odot or\circ$ \$\circ$（用 $\odot$ 或者 $\circ$）
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1.3 Matrix Kronecker product

Kronecker product.

• Symbol: $\otimes$ （$\otimes$）
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2. Vector multiplication

2.1 Vector dot product and inner product

Vector dot product, inner product (Inner Product, dot product).

• Symbol: $\cdot or$ omit ( $\cdot$ 或 省略)
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2.2 Vector Hadamard product

The vector Hadamard product, also known as the Schur product, refers to a new vector obtained by multiplying the elements at corresponding positions in two vectors.

• Symbol: Use $\odot or\circ$ \$\circ$（用 $\odot$ 或者 $\circ$）
• 公式
  $$a=(x1,y1)，b=(x2,y2)，a\odot b=(x1x2,y1y2)$$

2.3 Vector outer product

Vector outer product (Outer product): The result of the outer product is a matrix.

• Symbol: $\otimes$ （$\otimes$）
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2.4 Vector cross product

Vector cross product: The result of the cross product is a vector.

• Symbol: $\times$（$\times$）
• official