infinitude - определение. Что такое infinitude
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Что (кто) такое infinitude - определение

THEOREM THAT THE NUMBER OF PRIME NUMBERS IS INFINITE
Infinitude of the prime numbers; Infinitude of primes; Euclid's Theorem; Euclid's theorems; Euclid theorem; Euclid theorems; Largest prime; Largest prime number; Infinite primes; Infinitude of the primes; Infinitude of prime numbers
  • Symbol used by [[Euler]] to denote infinity

infinitude         
  • One-to-one correspondence between an infinite set and its proper subset
  • Infinitesimals (ε) and infinities (ω) on the hyperreal number line (1/ε = ω/1)
  • The first three steps of a fractal construction whose limit is a [[space-filling curve]], showing that there are as many points in a one-dimensional line as in a two-dimensional square.
  • By [[stereographic projection]], the complex plane can be "wrapped" onto a sphere, with the top point of the sphere corresponding to infinity. This is called the [[Riemann sphere]].
MATHEMATICAL CONCEPT
The Infinite; Infinitely; Infinity (mathematics); Infinate; InFINity; Infinity point; Taylor Archibald; Infinitely large; History of infinity; Infinitude; Infinite (synonyms); Mathematical infinity; Complex infinity
n.
1.
Boundlessness, infinity.
2.
Immensity, vastness, infinity.
3.
Infinite number, boundless multitude.
Infinitude         
  • One-to-one correspondence between an infinite set and its proper subset
  • Infinitesimals (ε) and infinities (ω) on the hyperreal number line (1/ε = ω/1)
  • The first three steps of a fractal construction whose limit is a [[space-filling curve]], showing that there are as many points in a one-dimensional line as in a two-dimensional square.
  • By [[stereographic projection]], the complex plane can be "wrapped" onto a sphere, with the top point of the sphere corresponding to infinity. This is called the [[Riemann sphere]].
MATHEMATICAL CONCEPT
The Infinite; Infinitely; Infinity (mathematics); Infinate; InFINity; Infinity point; Taylor Archibald; Infinitely large; History of infinity; Infinitude; Infinite (synonyms); Mathematical infinity; Complex infinity
·noun Boundless number; countless multitude.
II. Infinitude ·noun Infinite extent; unlimited space; immensity; infinity.
III. Infinitude ·noun The quality or state of being infinite, or without limits; infiniteness.
Euclid's theorem         
Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proved by Euclid in his work Elements.

Википедия

Euclid's theorem

Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proved by Euclid in his work Elements. There are several proofs of the theorem.

Примеры употребления для infinitude
1. An infinitude of Ottos, lugging around that personality, those circumstances, that appearance.
2. "But it‘s also consistent with an infinitude of other scenarios...not all of them involving sloppy alien pilots," he added.
3. "To think there could be an infinitude of selves, and not an iota of latitude for any of them!
4. In humility they climb the heights of holiness" (p. 514). Humility is the means through which we learn of and prove our real identity, an identity that isn‘t limited by physicality, but is "joyous in strength," revealing the infinitude of God.
5. I also am deeply moved at these times by the spiritual interpretation of these words that Mary Baker Eddy, the founder of this newspaper, wrote in her major work, "Science and Health with Key to the Scriptures": "Our Father–Mother God" (p. 16). The infinitude of God demands inclusion of all the perfect qualities we associate with both parents, since there cannot be a good quality without a divine source.