Synonymer & Oplysninger om | engelsk ord INFINITY

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Eksempler på brug af INFINITY i en sætning

• In projective geometry and related contexts, an asymptote of a curve is a line which is tangent to the curve at a point at infinity.
• The absolute infinite (symbol: Ω), in context often called "absolute", is an extension of the idea of infinity proposed by mathematician Georg Cantor.
• Beginning in the late 19th century, this concept was generalized to infinite sets, which allows one to distinguish between different types of infinity, and to perform arithmetic on them.
• The methods of compactification are various, but each is a way of controlling points from "going off to infinity" by in some way adding "points at infinity" or preventing such an "escape".
• Dyson originated several concepts that bear his name, such as Dyson's transform, a fundamental technique in additive number theory, which he developed as part of his proof of Mann's theorem; the Dyson tree, a hypothetical genetically engineered plant capable of growing in a comet; the Dyson series, a perturbative series where each term is represented by Feynman diagrams; the Dyson sphere, a thought experiment that attempts to explain how a space-faring civilization would meet its energy requirements with a hypothetical megastructure that completely encompasses a star and captures a large percentage of its power output; and Dyson's eternal intelligence, a means by which an immortal society of intelligent beings in an open universe could escape the prospect of the heat death of the universe by extending subjective time to infinity while expending only a finite amount of energy.
• If the graph does not contain any cycles (that is, it is a forest), its girth is defined to be infinity.
• His work features mathematical objects and operations including impossible objects, explorations of infinity, reflection, symmetry, perspective, truncated and stellated polyhedra, hyperbolic geometry, and tessellations.
• When there exists at least one causal geodesic that, in the future, extends to an observer either at infinity or to an observer comoving with the collapsing cloud, and in the past terminates at the gravitational singularity, then that singularity is referred to as a naked singularity.
• A projective plane can be thought of as an ordinary plane equipped with additional "points at infinity" where parallel lines intersect.
• In mathematics, a product of rings or direct product of rings is a ring that is formed by the Cartesian product of the underlying sets of several rings (possibly an infinity), equipped with componentwise operations.
• The concept of actual infinity has been introduced in mathematics near the end of the 19th century by Georg Cantor, with his theory of infinite sets, later formalized into Zermelo–Fraenkel set theory.
• The history of thinking about extension can be traced back at least to Archytas' spear analogy for the infinity of space.
• The step-index profile corresponds to a power-law index profile with the profile parameter approaching infinity.
• Big O notation is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity.
• If the denominator has a zero at z and the numerator does not, then the value of the function will approach infinity; if both parts have a zero at z, then one must compare the multiplicity of these zeros.
• For example, if a function is meromorphic on the whole complex plane plus the point at infinity, then the sum of the multiplicities of its poles equals the sum of the multiplicities of its zeros.
• Ḥeḥ (ḥḥ, also Huh, Hah, Hauh, Huah, and Hehu) was the personification of infinity or eternity in the Ogdoad in ancient Egyptian religion.
• Burton also discusses proofs for different types of infinity, including countable and uncountable sets.
• In the case of two variables and in the case of affine hypersurfaces, if multiplicities and points at infinity are not counted, this theorem provides only an upper bound of the number of points, which is almost always reached.
• 01 to 10, but can be lower or higher—for example, reaching 1,000 in exotic heavy fermion materials, or anywhere from zero to infinity (depending on definition) in graphene.

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