Catatan: Terjemahan untuk entri ini sedang dalam peninjauan kualitas, sehingga sebagian konten untuk sementara hanya ditampilkan dalam bahasa Inggris.
Entri ini belum diterjemahkan ke bahasa Anda, sehingga versi aslinya ditampilkan di bawah.
outer product
This term is a specialized technical expression used almost exclusively within linear algebra, physics, and computer science. It describes a specific operation that increases the dimensionality of the input, contrasting with the inner product (dot product), which reduces two vectors to a single scalar value.
In a computational context, the outer product is frequently used in tensor analysis and the construction of rank-one matrices. Because it is a mathematical operation, it is treated as a distinct conceptual entity rather than a general descriptive phrase.
Meanings
Examples
The outer product of two vectors results in a matrix.
Can you explain how to calculate the outer product for these two column vectors?
In quantum mechanics, the density matrix is often expressed as the outer product of a state vector with itself.
In quantum mechanics, the density matrix is often expressed as the outer product of a state vector with itself.
I need to compute the outer product to find the rank one approximation of this data set.
The professor wrote the formula for the outer product on the chalkboard.
Wait, is this an inner product or an outer product?
The resulting matrix from an outer product always has a rank of at most one.
He wondered if the outer product would simplify the tensor transformation.