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2. Domain of a function - Wikipedia

   en.wikipedia.org/wiki/Domain_of_a_function

   In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by or , where f is the function. In layman's terms, the domain of a function can generally be thought of as "what x can be". [ 1] More precisely, given a function , the domain of f is X. In modern mathematical language, the domain is ...

3. Limit of a function - Wikipedia

   en.wikipedia.org/wiki/Limit_of_a_function

   e. In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which may or may not be in the domain of the function. Formal definitions, first devised in the early 19th century, are given below.

4. Integral domain - Wikipedia

   en.wikipedia.org/wiki/Integral_domain

   In mathematics, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. [ 1][ 2] Integral domains are generalizations of the ring of integers and provide a natural setting for studying divisibility. In an integral domain, every nonzero element a has the cancellation property, that is, if a ...

5. Extended real number line - Wikipedia

   en.wikipedia.org/wiki/Extended_real_number_line

   Contents. Extended real number line. This article is about the extension of the reals with +∞ and −∞. For the extension by a single point at infinity, see Projectively extended real line. In mathematics, the extended real number system a is obtained from the real number system by adding two infinity elements: and b where the infinities ...

6. List of probability distributions - Wikipedia

   en.wikipedia.org/wiki/List_of_probability...

   The Bernoulli distribution, which takes value 1 with probability p and value 0 with probability q = 1 − p. The Rademacher distribution, which takes value 1 with probability 1/2 and value −1 with probability 1/2. The binomial distribution, which describes the number of successes in a series of independent Yes/No experiments all with the same ...

7. List of definite integrals - Wikipedia

   en.wikipedia.org/wiki/List_of_definite_integrals

   In mathematics, the definite integral. is the area of the region in the xy -plane bounded by the graph of f, the x -axis, and the lines x = a and x = b, such that area above the x -axis adds to the total, and that below the x -axis subtracts from the total. The fundamental theorem of calculus establishes the relationship between indefinite and ...