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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. This sort of quantification is known as uniqueness quantification or ,unique, existential quantification, and is often denoted with the symbols "∃!" or "∃ =1".For example, the formal statement ∃! ∈ (− =) ...
1. existing as the only one or as the sole example; single; solitary in type or characteristics. 2. having no like or equal; unparalleled; incomparable. 3. limited in occurrence to a given class, situation, or area. 4. not typical; unusual: She has a very unique ability to inspire people. n.
Isomorphism is an equivalence relation on algebraic structures. To say that initial algebras are unique up to isomorphism means that they are all equivalent to each other with respect to the equivalence relation of isomorphism. @AlfredRossi 's example is an excellent illustration of …
Meaning, / ,definition, Example = equals sign: equality: 5 = 2+3 5 is equal to 2+3 ≠ not equal sign: inequality: 5 ≠ 4 5 is not equal to 4 ≈ approximately equal: approximation: sin(0.01) ≈ 0.01, x ≈ y ,means, x is approximately equal to y > strict inequality: greater than: 5 …
1/12/2006, · To say that a function, satisfying certain conditions is "unique" means that it is the only function satisfying those conditions. For example, there is a unique function, y (x), satisfying y"= -y, y (0)= 0, y (1)= 1. (That unique function is y (x)= sin (x).) Log in or register to reply now!
Unique means there is only one such set. For example ∅ is unique because if we suppose there are two such sets, we will show that they are subsets of each other, meaning it is the same set. Nothing in set theory (axiomatic that is) is redundant every axiom must be precise and necessary.