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In mathematics, an injective function (also known as injection, or one-to-one function [1]) is a function f that maps distinct elements of its domain to distinct elements of its codomain; that is, x 1 ≠ x 2 implies f(x 1) ≠ f(x 2) (equivalently by contraposition, f(x 1) = f(x 2) implies x 1 = x 2).
Doughnuts in a display case at a coffee shop. A doughnut (sometimes spelt donut in American English; both / ˈ d oʊ n ə t /) is a type of pastry made from leavened fried dough. [1] [2]: 275 It is popular in many countries and is prepared in various forms as a sweet snack that can be homemade or purchased in bakeries, supermarkets, food stalls, and franchised specialty vendors.
One-to-one (communication), the act of an individual communicating with another; One-to-one (data model), a relationship in a data model; One to one computing (education), an initiative for a computer for every student; One-to-one marketing or personalized marketing, an attempt to make a unique product offering for each customer
Jelly or custard filled doughnuts known as sufganiyot are a popular treat, especially during Hanukah. They are cooked in oil which is in keeping with the primary miracle of the holiday of Hanukah, which is that one days worth of oil kept the Menorah in the Temple burning for eight days. [7] [8]
In the case of homotopy, the continuous deformation from one map to the other is of the essence, and it is also less restrictive, since none of the maps involved need to be one-to-one or onto. Homotopy does lead to a relation on spaces: homotopy equivalence. There is a name for the kind of deformation involved in visualizing a homeomorphism.
Turn immediately to Part One and start answering the ten Best Year Yet questions. If you want help or explanations as you go along, turn to the chapter in PART TWO that relates to the question you're working on. 2. Read Part One and Part Two as preparation for your workshop, perhaps making notes as you read. When you've finished, set
Dnieper-Donets pottery was initially pointed based, but in later phases flat-based wares emerge. [6] Their pottery is completely different from those made by the nearby Cucuteni–Trypillia culture. The importance of pottery appears to have increased throughout the existence of the Dnieper–Donets culture, which implies a more sedentary lifestyle.
Being one of the largest rivers in Ukraine, the Donets is very intensively used in farming and industry. Ukraine alone uses more than 2 km 3 (0.48 cu mi) of river waters per year, half of which is returned as polluted discharges; this consumption effectively reduces river runoff by 32 m 3 /s (1,100 cu ft/s).