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Uniqueness is a state or condition wherein someone or something is unlike anything else in comparison, or is remarkable, or unusual. [1] When used in relation to humans, it is often in relation to a person's personality, or some specific characteristics of it, signalling that it is unlike the personality traits that are prevalent in that individual's culture. [2]
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
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
Uniqueness is a consequence of the last two conditions. Basic properties Proofs ... , using the same four conditions as in our definition above.
In mathematics, specifically the study of differential equations, the Picard–Lindelöf theorem gives a set of conditions under which an initial value problem has a unique solution. It is also known as Picard's existence theorem, the Cauchy–Lipschitz theorem, or the existence and uniqueness theorem.
For the uniqueness, one must impose some regularity condition, since other functions satisfying (+) = () can be constructed using a basis for the real numbers over the rationals, as described by Hewitt and Stromberg. Elementary definition by powers.
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The false-uniqueness effect is an attributional type of cognitive bias in social psychology that describes how people tend to view their qualities, traits, and personal attributes as unique when in reality they are not. This bias is often measured by looking at the difference between estimates that people make about how many of their peers ...