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The software was designed for students outside the classroom to augment their mathematics education and school districts seeking to enhance their mathematics curriculum. [4] [13] In 2012, the firm offered free trial licensing of lessons aligned with the Common Core State Standards Initiative to all schools within the United States.
A complex K3 surface has real dimension 4, and it plays an important role in the study of smooth 4-manifolds. K3 surfaces have been applied to Kac–Moody algebras, mirror symmetry and string theory. It can be useful to think of complex algebraic K3 surfaces as part of the broader family of complex analytic K3 surfaces.
BrainPop (stylized as BrainPOP) is a group of educational websites founded in 1999 by Avraham Kadar, M.D. and Chanan Kadmon, based in New York City. [1] As of 2024, the websites host over 1,000 short animated movies for students in grades K–8 (ages 5 to 14), together with quizzes and related materials, covering the subjects of science, social studies, English, math, engineering and ...
1 External links modified. 1 comment. 2 328005. ... 4 comments. 4 I added the overview of both math and writing for DreamBox Learning. 1 comment. Toggle the table of ...
To give some simple examples: the product P 1 × X has Kodaira dimension for any curve X; the product of two curves of genus 1 (an abelian surface) has Kodaira dimension 0; the product of a curve of genus 1 with a curve of genus at least 2 (an elliptic surface) has Kodaira dimension 1; and the product of two curves of genus at least 2 has ...
Proof without words that a hypercube graph is non-planar using Kuratowski's or Wagner's theorems and finding either K 5 (top) or K 3,3 (bottom) subgraphs. If is a graph that contains a subgraph that is a subdivision of or ,, then is known as a Kuratowski subgraph of . [1]