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  2. Torus - Wikipedia

    en.wikipedia.org/wiki/Torus

    This can be viewed as lying in C 2 and is a subset of the 3-sphere S 3 of radius √2. This topological torus is also often called the Clifford torus. In fact, S 3 is filled out by a family of nested tori in this manner (with two degenerate circles), a fact which is important in the study of S 3 as a fiber bundle over S 2 (the Hopf bundle).

  3. Mathematical operators and symbols in Unicode - Wikipedia

    en.wikipedia.org/wiki/Mathematical_operators_and...

    The Supplemental Mathematical Operators block (U+2A00–U+2AFF) contains various mathematical symbols, including N-ary operators, summations and integrals, intersections and unions, logical and relational operators, and subset/superset relations. Supplemental Mathematical Operators [1] Official Unicode Consortium code chart (PDF) 0.

  4. List of logic symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_logic_symbols

    In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.

  5. Mathematical Operators (Unicode block) - Wikipedia

    en.wikipedia.org/wiki/Mathematical_Operators...

    Mathematical Operators is a Unicode block containing characters for mathematical, logical, and set notation. Notably absent are the plus sign (+), greater than sign (>) and less than sign (<), due to them already appearing in the Basic Latin Unicode block, and the plus-or-minus sign (±), multiplication sign (×) and obelus (÷), due to them ...

  6. Knuth's up-arrow notation - Wikipedia

    en.wikipedia.org/wiki/Knuth's_up-arrow_notation

    One could extend the notation to negative indices (n ≥ -2) in such a way as to agree with the entire hyperoperation sequence, except for the lag in the indexing: H n ( a , b ) = a [ n ] b = a ↑ n − 2 b for n ≥ 0. {\displaystyle H_{n}(a,b)=a[n]b=a\uparrow ^{n-2}b{\text{ for }}n\geq 0.}

  7. ISO 3166-1 alpha-2 - Wikipedia

    en.wikipedia.org/wiki/ISO_3166-1_alpha-2

    ISO 3166-1 alpha-2 codes are two-letter country codes defined in ISO 3166-1, part of the ISO 3166 standard [1] published by the International Organization for Standardization (ISO), to represent countries, dependent territories, and special areas of geographical interest. They are the most widely used of the country codes published by ISO (the ...

  8. Laplace operator - Wikipedia

    en.wikipedia.org/wiki/Laplace_operator

    In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean space. It is usually denoted by the symbols ∇ ⋅ ∇ {\displaystyle abla \cdot abla } , ∇ 2 {\displaystyle abla ^{2}} (where ∇ {\displaystyle abla } is the nabla operator ), or Δ ...

  9. List of mathematic operators - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematic_operators

    In mathematics, an operator or transform is a function from one space of functions to another. Operators occur commonly in engineering, physics and mathematics. Many are integral operators and differential operators. In the following L is an operator :

  10. Linear code - Wikipedia

    en.wikipedia.org/wiki/Linear_code

    A linear code of length n and dimension k is a linear subspace C with dimension k of the vector space where is the finite field with q elements. Such a code is called a q -ary code. If q = 2 or q = 3, the code is described as a binary code, or a ternary code respectively. The vectors in C are called codewords.

  11. Scope resolution operator - Wikipedia

    en.wikipedia.org/wiki/Scope_resolution_operator

    A similar error can also occur where no scope resolution operator is present. For example, attempting to check whether a constant is empty () triggers this error: $ php -r 'define("foo", "bar"); if (empty(foo)) echo "empty";' Parse error: syntax error, unexpected ')', expecting T_PAAMAYIM_NEKUDOTAYIM.