>>1
Lambda notation is supposed to be used for anonymous functions only. Using explicit lambdas for named functions is just some sort of functional-programming masturbation.
>>8 Lambda notation is supposed to be used for anonymous functions only
Agreed. Using explicit lambdas for named functions is just some sort of functional-programming masturbation. :(
It can be proved that the cardinality of the real numbers is greater than that of the natural numbers just described. This can be visualized using Cantor's diagonal argument; classic questions of cardinality (for instance the continuum hypothesis) are concerned with discovering whether there is some cardinal between some pair of other infinite cardinals. In more recent times mathematicians have been describing the properties of larger and larger cardinals.
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Anonymous2013-08-31 8:41
The Indian mathematical text Surya Prajnapti (c. 3rd–4th century BCE) classifies all numbers into three sets: enumerable, innumerable, and infinite. Each of these was further subdivided into three orders:
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Anonymous2013-08-31 9:26
The IEEE floating-point standard (IEEE 754) specifies the positive and negative infinity values. These are defined as the result of arithmetic overflow, division by zero, and other exceptional operations.
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Anonymous2013-08-31 10:12
For example, properties of the natural and real numbers can be derived within set theory, as each number system can be identified with a set of equivalence classes under a suitable equivalence relation whose field is some infinite set.
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Anonymous2013-08-31 10:58
Although originally controversial, the axiom of choice is now used without reservation by most mathematicians, and it is included in Zermelo–Fraenkel set theory with the axiom of choice (ZFC), the standard form of axiomatic set theory.