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PDNF- Principal Disjunctive Normal Form Important Problems in Discrete Mathematics WELCOME ENGINEERS
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Discrete Mathematics - This Subject is Common for Students studying Engineering and B.sc Maths.
In this video, we are going to see the one of the important topic from Discrete Mathematics.
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly",
the objects studied in discrete mathematics – such as integers, graphs, and statements in logic– do not vary smoothly in this way, but have distinct, separated values.Discrete mathematics
therefore excludes topics in "continuous mathematics" such as calculus or Euclidean geometry. Discrete objects can often be enumerated by integers.
Logic is the study of the principles of valid reasoning and inference, as well as of consistency, soundness, and completeness. For example, in most systems of logic Peirce's law (((P→Q)→P)→P) is a theorem. For classical logic, it can be easily verified with a truth table. The study of mathematical proof is particularly important in logic, and has applications to automated theorem proving and formal verification of software.
Logical formulas are discrete structures, as are proofs, which form finite trees or more generally, directed acyclic graph structures with each inference step combining one or more premise
branches to give a single conclusion. The truth values of logical formulas usually form a finite set, generally restricted to two values: true and false, but logic can also be continuous-valued,
e.g., fuzzy logic. Concepts such as infinite proof trees or infinite derivation trees have also been studied.
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In this video, we are going to see the one of the important topic from Discrete Mathematics.
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly",
the objects studied in discrete mathematics – such as integers, graphs, and statements in logic– do not vary smoothly in this way, but have distinct, separated values.Discrete mathematics
therefore excludes topics in "continuous mathematics" such as calculus or Euclidean geometry. Discrete objects can often be enumerated by integers.
Logic is the study of the principles of valid reasoning and inference, as well as of consistency, soundness, and completeness. For example, in most systems of logic Peirce's law (((P→Q)→P)→P) is a theorem. For classical logic, it can be easily verified with a truth table. The study of mathematical proof is particularly important in logic, and has applications to automated theorem proving and formal verification of software.
Logical formulas are discrete structures, as are proofs, which form finite trees or more generally, directed acyclic graph structures with each inference step combining one or more premise
branches to give a single conclusion. The truth values of logical formulas usually form a finite set, generally restricted to two values: true and false, but logic can also be continuous-valued,
e.g., fuzzy logic. Concepts such as infinite proof trees or infinite derivation trees have also been studied.
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If you like this video then Share it with your Friends.
Friends, Please Support us by SUBSCRIBE our WELCOME ENGINEERS channel.
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