In terms of algebraic objects:
1, two integers are multiplied
2. The inner product of two vectors in vector space.
3. The product of matrices in the matrix set
4. Hadamard product of matrix
5. Kronecker product of matrix.
6. Outer product of tensor
7. Tensor product of tensor
8. The point-by-point product of two functions
As far as algebraic structure is concerned, there are:
1, cartesian product
2. Direct product of vector space
3. Product of group subsets
4. Free product of groups
5. Product of topological spaces
Extended data:
Integer multiplication:
(1) Multiplies the first factor by the number on each bit of the second factor from the cell;
(2) Multiply by the number on the second factor, and the last digit of the number is aligned with the second factor;
(3) adding the multiplied numbers for multiple times;
Decimal multiplication:
(1) Find the product first according to the law of integer multiplication;
(2) Look at a factor * * *, how many decimal places there are, and count the decimal points from the right side of the product;
Fractional multiplication:
(1) Fractions are multiplied by fractions, the product of numerator multiplication is numerator, and the product of denominator multiplication is denominator;
(2) If there is an integer, treat it as a false fraction with the denominator of 1;
(3) If you can cut the point, cut the point first.
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