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WebMeaning of theorem in English. theorem. noun [ C ] mathematics specialized uk / ˈθɪə.rəm / us / ˈθiː.rəm /. ( especially in mathematics) a formal statement that can be shown to be … WebTools. In mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules, Lie algebras, and various other algebraic structures. In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. Adjacent means that two regions share a common boundary curve segment, not merely a corner where … See more In graph-theoretic terms, the theorem states that for loopless planar graph $${\displaystyle G}$$, its chromatic number is $${\displaystyle \chi (G)\leq 4}$$. The intuitive statement of the four color theorem – "given … See more The following discussion is a summary based on the introduction to Every Planar Map is Four Colorable (Appel & Haken 1989). Although flawed, Kempe's original purported proof of the four color theorem provided some of the basic tools later used to prove it. … See more While every planar map can be colored with four colors, it is NP-complete in complexity to decide whether an arbitrary planar map can be colored with just three colors. See more Dror Bar-Natan gave a statement concerning Lie algebras and Vassiliev invariants which is equivalent to the four color theorem. See more Early proof attempts As far as is known, the conjecture was first proposed on October 23, 1852, when Francis Guthrie, while trying to color the map of counties of … See more The four color theorem has been notorious for attracting a large number of false proofs and disproofs in its long history. At first, The New York Times refused, as a matter of policy, to … See more Infinite graphs The four color theorem applies not only to finite planar graphs, but also to infinite graphs that can be drawn without crossings in the plane, and … See more can moringa cure hair loss