English example sentences with "vector"

Vectors need not correspond to a physical quantity; anything can be a vector space as long as vector addition and scalar multiplication is defined.
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A vector is a unit vector if its norm is 1.
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The dimension of a vector space equals the largest number of its elements that can be linearly independent.
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Every vector space has a basis.
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Support vector machines are supervised learning models used for classification and regression analysis.
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Mosquitoes are a vector for disease.
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What is the difference between raster and vector graphics?
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A force is a vector quantity so a force has both a magnitude and a direction.
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Mathematicians and scientists call a quantity which depends on direction a vector quantity. A quantity which does not depend on direction is called a scalar quantity.
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A vector quantity has two characteristics, a magnitude and a direction.
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When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction.
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The gradient of a scalar-valued function of several variables is the vector which contains its partial derivatives with respect to each of its variables (when these derivatives exist).
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"Actually, I understood everything in linear algebra until we came to vector spaces," said Tom. Mary just shook her head.
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In algebra, abstract algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, and lattices.
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In mathematics, an algebra over a field is a vector space equipped with a bilinear product.
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These matrices form a vector space.
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The United Nations and international agencies are warning more than half the world’s population is at risk from the growing threat of vector borne diseases.
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Dr. Lyle R. Petersen, director of the division of vector-borne infectious diseases at the CDC, says the arrival of Hurricane Isaac may actually help contain the outbreak. He explains that such storms disturb the ecology of the area and interrupt the transmission cycle between birds and mosquitoes.
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A Banach space is a complete normed vector space.
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