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The North Carolina Department of Public Instruction (NCDPI) oversees the public school system in the U.S. state of North Carolina. The DPI is headed by the State Superintendent and the North Carolina State Board of Education .
For an exact form α, α = dβ for some differential form β of degree one less than that of α. The form β is called a "potential form" or "primitive" for α. Since the exterior derivative of a closed form is zero, β is not unique, but can be modified by the addition of any closed form of degree one less than that of α. Because d 2 = 0 ...
For the first time since 2019, the N.C. Department of Public Instruction released A through F grades for North Carolina schools.
A smooth differential form of degree k is a smooth section of the k th exterior power of the cotangent bundle of M. The set of all differential k-forms on a manifold M is a vector space, often denoted (). The definition of a differential form may be restated as follows.
Proponents of reform mathematics countered that research showed that correctly-applied reform math curricula taught students basic math skills at least as well as curricula used in traditional programs, and additionally that reform math curricula was a more effective tool for teaching students the underlying concepts. [13]
In mathematics, a cubic function is a function of the form () = + + +, that is, a polynomial function of degree three. In many texts, the coefficients a , b , c , and d are supposed to be real numbers , and the function is considered as a real function that maps real numbers to real numbers or as a complex function that maps complex numbers to ...
The School Mathematics Study Group (SMSG) was an American academic think tank focused on the subject of reform in mathematics education.Directed by Edward G. Begle and financed by the National Science Foundation, the group was created in the wake of the Sputnik crisis in 1958 and tasked with creating and implementing mathematics curricula for primary and secondary education, [1] which it did ...
A differential form at a point of a differentiable manifold is an alternating multilinear form on the tangent space at the point. Equivalently, a differential form of degree k is a linear functional on the k th exterior power of the tangent space. As a consequence, the exterior product of multilinear forms defines a natural exterior product for ...