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- Discrete_mathematics abstract "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 and analysis. Discrete objects can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (sets that have the same cardinality as subsets of the natural numbers, including rational numbers but not real numbers). However, there is no exact, universally agreed, definition of the term "discrete mathematics." Indeed, discrete mathematics is described less by what is included than by what is excluded: continuously varying quantities and related notions.The set of objects studied in discrete mathematics can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business.Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computers which operate in discrete steps and store data in discrete bits. Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in branches of computer science, such as computer algorithms, programming languages, cryptography, automated theorem proving, and software development. Conversely, computer implementations are significant in applying ideas from discrete mathematics to real-world problems, such as in operations research.Although the main objects of study in discrete mathematics are discrete objects, analytic methods from continuous mathematics are often employed as well.".
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- Discrete_mathematics name "Payoff matrix for the Prisoner's dilemma, a common example in game theory. One player chooses a row, the other a column; the resulting pair gives their payoffs".
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- Discrete_mathematics subject Category:Discrete_mathematics.
- Discrete_mathematics comment "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 and analysis.".
- Discrete_mathematics label "Discrete mathematics".
- Discrete_mathematics label "Discrete wiskunde".
- Discrete_mathematics label "Diskrete Mathematik".
- Discrete_mathematics label "Matematica discreta".
- Discrete_mathematics label "Matematyka dyskretna".
- Discrete_mathematics label "Matemática discreta".
- Discrete_mathematics label "Matemáticas discretas".
- Discrete_mathematics label "Mathématiques discrètes".
- Discrete_mathematics label "Дискретная математика".
- Discrete_mathematics label "رياضيات متقطعة".
- Discrete_mathematics label "离散数学".
- Discrete_mathematics label "離散数学".
- Discrete_mathematics sameAs Diskrétní_matematika.
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- Discrete_mathematics sameAs 離散数学.
- Discrete_mathematics sameAs 이산수학.
- Discrete_mathematics sameAs Discrete_wiskunde.
- Discrete_mathematics sameAs Matematyka_dyskretna.
- Discrete_mathematics sameAs Matemática_discreta.
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- Discrete_mathematics sameAs Q121416.
- Discrete_mathematics sameAs Q121416.
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