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svd

 

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SVD (Singular Value Decomposition)

Definition:

SVD, also known as Singular Value Decomposition, is a key mathematical technique used in linear algebra and numerical analysis. It decomposes a matrix into singular values and corresponding singular vectors.


Sense 1 (Noun):

In mathematics, SVD refers to the factorization of a matrix where the matrix M is represented as the product of three separate matrices: U, Σ, and V. Here, U and V are unitary matrices, while Σ is a diagonal matrix. SVD is widely used for analyzing data, data compression, and solving linear systems of equations.

Example sentence: The SVD algorithm provides an efficient way to reduce the dimensionality of large datasets while preserving the most important information.


Sense 2 (Noun):

In medical terminology, SVD stands for Spontaneous Vaginal Delivery, a type of childbirth where the baby is born through the birth canal without the need for medical interventions or surgical procedures.

Example sentence: The doctor recommended a SVD as the preferred method of delivery, considering the mother's health condition and the baby's position.


Sense 3 (Noun):

In computer science, SVD may refer to Sparse Vector Decomposition, a method that decomposes a sparse vector into a set of basis vectors and corresponding coefficients.

Example sentence: The SVD technique can effectively represent sparse vectors in a compact form, making them easier to process and analyze.


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