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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]
National Honor Roll: Awarded to the top 10% of participants in each grade category. Honorable Mention: Awarded to students who score in the top 50% of participants in their grade category. [20] [18] School teams can earn the following award: Team Achievement: The top 10% of teams in each grade. [6] [21]
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
In the first half of the 20th century, many other quiz-bowl-like competitions were also created. Delco Hi-Q began in 1948 as a radio quiz competition sponsored by the Scott Paper Company for high school students in Delaware County, Pennsylvania. It claims to be the oldest continuously running student quiz contest in the United States. [8]
On the other hand, Division is non-associative, and in the case of / /, parenthesization conventions are not well established; therefore, this expression is often considered ill-defined. Unlike with functions, notational ambiguities can be overcome by means of additional definitions (e.g., rules of precedence , associativity of the operator).