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In mathematics and logic, the term "uniqueness" refers to the property of being the one and only object satisfying a certain condition. [1] This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the symbols "∃!" [2] or "∃ =1". For example, the formal statement
There is an essentially unique two-dimensional, compact, simply connected manifold: the 2-sphere. In this case, it is unique up to homeomorphism. In the area of topology known as knot theory, there is an analogue of the fundamental theorem of arithmetic: the decomposition of a knot into a sum of prime knots is essentially unique. [5]
Unique primarily refers to: Uniqueness , a state or condition wherein something is unlike anything else In mathematics and logic, a unique object is the only object with a certain property, see Uniqueness quantification
Phrased another way, after a long and/or unlikely streak of independently random events, the probability of the next event is not influenced by the preceding events. Humans often feel that the underrepresented outcome is more likely, as if it is due to happen. Such thinking may be attributed to the mistaken belief that gambling, or even chance ...
A function (which in mathematics is generally defined as mapping the elements of one set A to elements of another B) is called "A onto B" (instead of "A to B" or "A into B") only if it is surjective; it may even be said that "f is onto" (i. e. surjective). Not translatable (without circumlocutions) to some languages other than English.
The measurement of time is unique in SI in that while the second is the base unit, and measurements of time smaller than a second use prefixed units smaller than a second (e.g. microsecond, nanosecond, etc.), measurements larger than a second instead use traditional divisions, including the sexagesimal-based minute and hour as well as the less ...
In computational complexity theory, the unique games conjecture (often referred to as UGC) is a conjecture made by Subhash Khot in 2002. [ 1 ] [ 2 ] [ 3 ] The conjecture postulates that the problem of determining the approximate value of a certain type of game, known as a unique game , has NP-hard computational complexity .
The first 20 questions involve biology, the second twenty questions involve chemistry, and the final twenty questions involve physics. No time warning is given, except that tests cannot be turned in until the proctor announces that 30 minutes have passed. The questions may be answered in any order; there is no penalty for skipping questions.