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For some natural number , =. This is a single statement using existential quantification. It is roughly analogous to the informal sentence "Either 0 × 0 = 25 {\displaystyle 0\times 0=25} , or 1 × 1 = 25 {\displaystyle 1\times 1=25} , or 2 × 2 = 25 {\displaystyle 2\times 2=25} , or... and so on," but more precise, because it doesn't need us ...
As the number of these sorts has remarkably increased in modern mathematics, the Greek alphabet and some Hebrew letters are also used. In mathematical formulas , the standard typeface is italic type for Latin letters and lower-case Greek letters, and upright type for upper case Greek letters.
The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, [1] and the LaTeX symbol.
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
Graphically, the exclamation mark is represented by variations on the theme of a period with a vertical line above. One theory of its origin posits derivation from a Latin exclamation of joy, namely io, analogous to "hooray"; copyists wrote the Latin word io at the end of a sentence, to indicate expression of joy.
The concept of zero and the introduction of a notation for it are important developments in early mathematics, which predates for centuries the concept of zero as a number. It was used as a placeholder by the Babylonians and Greek Egyptians , and then as an integer by the Mayans , Indians and Arabs (see the history of zero ).
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The following table lists many specialized symbols commonly used in modern mathematics, ordered by their introduction date. The table can also be ordered alphabetically by clicking on the relevant header title.