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1 day ago · Rules of inference are essential tools in logic and mathematics, enabling the derivation of conclusions from premises. They form the backbone of logical reasoning, and proof techniques, and are extensively used in fields such as computer science, engineering, and mathematics. Basic Rules of Inference 1. Modus Ponens (Law of Detachment)
2 days ago · Discrete mathematics is the study of mathematical structures that are countable or otherwise distinct and separable. Examples of structures that are discrete are combinations, graphs, and logical statements. Discrete structures can be finite or infinite.
4 days ago · Rather than the memorization of simple algorithms to solve equations by rote, Euclidean geometry demands true insight into the subject, clever ideas for applying theorems in special situations, an ability to generalize from known facts, and an insistence on the importance of proof.
3 days ago · Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory ...
4 days ago · Commutative Law. The Commutative Law states that even if we switch the order of the numbers, the resulting answer is the same. The commutative law holds for addition and multiplication. The Commutative Law of Addition: a + b = b + a. Example. The Commutative Law of Multiplication: a × b = b × a. Example.
- Srishta Chopra
- 2017
4 days ago · Definition. A (binary) relation \Re ℜ between two sets X X and Y Y is a subset of the Cartesian product X \times Y. X ×Y. One way to think about this definition is to think of it as that the ordered pairs correspond to the edges in a graph which links the related things.
3 days ago · In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most often, a Riemannian metric.
