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...translate information from the domain to the codomain and back again. The existence of an inverse function often forces the domain and codomain to have common

...is some feature of the world that either demands or makes more likely the existence of a designer. ...the world contains a spcific sort of design — usually involving the existence of life (especially human life).

{{r|Ontological argument for the existence of God}}

...set]] [[inclusion]]. The structure of the group is closely related to the existence of series with particular properties.

...y, ungainly appearance. He finally leaves the farm and spends a miserable existence in the wild and fostered by humans, but everywhere he goes he is ridiculed

*Maine indicates the existence of village-based common field agriculture across Europe and Asia from Engla

...ined with the historical county of [[Yorkshire]]. West Yorkshire came into existence as a metropolitan county in 1974 after the passage of the Local Government

...exist. One of the few things he notices is that most sources agree on the existence of what they call "the Fairy Book," a Bible of sorts if you will. He then b ...iving home he deciphers it, a task thought impossible. He realised that in existence there is a ransom for Fairies who are captured for whatever reason.

...many important applications in mathematics, most notable being a proof of existence of Lebesgue non-measurable sets in [[measure theory]]. The name was given

It is believed that Vajrayana came to existence through the fusion of [[Mahayana]] Buddhism and Hinduism. Today it survives

*John Hick [ed.] ''The Existence of God''. London: Collier Macmillan, 1964. ISBN 0-02-085450-1 * [[Nicholas Everett]], ''The Non-Existence of God''.

...'', earlier ''cóiced'', literally "fifth", to mean "province", implies the existence at some point in prehistory of a pentarchy, whose five members were the Con

...mpetitive Economy", ''Econometrica'', vol. XXII 1954 </ref> (known as the "existence theorem" and referred to in some texts as the first fundamental theorem of ..."external economies" and concluded that the effect of acknowledging the existence of economic interdependence is often to nullify the conclusions of theo

...d, and likewise of the senses, and the relinquishment of all conditions of existence" for the purpose of uniting [[Atman]] with [[Brahman]]". It presents a six-

...y that God is non-existent. We can only say that neither existence nor non-existence applies to God.

...up on that week, we'll bootstrap CZ's X-ology Workgroup into a more robust existence. Shall we give it a try? ...n wondering how to build up our workgroups so that they have a more robust existence. We'd like to get a core group in each discipline who can "goad" each othe

...ally philosophical, sense, transcendentalism refers to the belief that our existence is not limited only to matters of sensory experience, but that there is som

...of the German Air Force, to investigate the limits of human endurance and existence at extremely high altitudes. The experimental subjects gave no [[informed c

...set can only be proved to exist, but it cannot be constructed (because the existence see [[non-measurable set|non-measurable sets]] is not constructive).

...ations, all things without exception, which I imagined to have a permanent existence, whether I thought of them or not, vanish at once ;