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The North Carolina End of Grade Tests are the standardized tests given to students in grades 3 to 8 in North Carolina. Beyond grade 8, there are End of Course Tests for students in grades 9 to 12. The EOG is given to test skills in mathematics, English, and science. Students in grades 3 to 8 must take the mathematics and English End of Grade Tests.
Linear fractional transformations leave cross ratio invariant, so any linear fractional transformation that leaves the unit disk or upper half-planes stable is an isometry of the hyperbolic plane metric space. Since Henri Poincaré explicated these models they have been named after him: the Poincaré disk model and the Poincaré half-plane model.
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In mathematics, a transformation, transform, or self-map [1] is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X. [ 2 ] [ 3 ] [ 4 ] Examples include linear transformations of vector spaces and geometric transformations , which include projective transformations , affine transformations , and ...
In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping between two vector spaces that preserves the operations of vector addition and scalar multiplication.
In mathematics, the term linear function refers to two distinct but related notions: [1] In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. [2] For distinguishing such a linear function from the other concept, the term affine function is often used ...
Normally, a matrix represents a linear map, and the product of a matrix and a column vector represents the function application of the corresponding linear map to the vector whose coordinates form the column vector. The change-of-basis formula is a specific case of this general principle, although this is not immediately clear from its ...
The End of Course Test (EOCT, EOC, or EOC Test) is an academic assessment conducted in many states by the State Board of Education and Island of Bermuda.Georgia, for example, tests from the ninth to twelfth grades, and North Carolina tests for any of the four core class subjects (math, science, social studies, and English).