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  2. Atom (measure theory) - Wikipedia

    en.wikipedia.org/wiki/Atom_(measure_theory)

    Given a measurable space (,) and a measure on that space, a set in is called an atom if > and for any measurable subset , either () = or () = (). [ 1 ] The equivalence class of A {\displaystyle A} is defined by [ A ] := { B ∈ Σ : μ ( A Δ B ) = 0 } , {\displaystyle [A]:=\{B\in \Sigma :\mu (A\Delta B)=0\},} where Δ {\displaystyle \Delta ...

  3. Terminal and nonterminal symbols - Wikipedia

    en.wikipedia.org/wiki/Terminal_and_nonterminal...

    Nonterminal symbols are those symbols that can be replaced. They may also be called simply syntactic variables . A formal grammar includes a start symbol , a designated member of the set of nonterminals from which all the strings in the language may be derived by successive applications of the production rules.

  4. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1. Strict inequality between two numbers; means and is read as "greater than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1.

  5. Uncleftish Beholding - Wikipedia

    en.wikipedia.org/wiki/Uncleftish_Beholding

    "Uncleftish Beholding" is a short text by Poul Anderson, first published in the Mid-December 1989 issue of the magazine Analog Science Fiction and Fact (with no indication of its fictional or factual status) [1] and included in his anthology All One Universe (1996). [2]

  6. Initial and terminal objects - Wikipedia

    en.wikipedia.org/wiki/Initial_and_terminal_objects

    The empty set is the unique initial object in Set, the category of sets.Every one-element set is a terminal object in this category; there are no zero objects.. Similarly, the empty space is the unique initial object in Top, the category of topological spaces and every one-point space is a terminal object in thi

  7. Definitions of mathematics - Wikipedia

    en.wikipedia.org/wiki/Definitions_of_mathematics

    Mathematics is the science that draws necessary conclusions. [10] Benjamin Peirce 1870. All Mathematics is Symbolic Logic. [8] Bertrand Russell 1903. Peirce did not think that mathematics is the same as logic, since he thought mathematics makes only hypothetical assertions, not categorical ones. [11]

  8. In Search of Wonder - Wikipedia

    en.wikipedia.org/wiki/In_Search_of_Wonder

    In Search of Wonder: Essays on Modern Science Fiction is a collection of critical essays by American writer Damon Knight. Most of the material in the original version of the book was originally published between 1952 and 1955 in various science fiction magazines including Infinity Science Fiction , Original SF Stories , and Future SF .

  9. Definitions of science fiction - Wikipedia

    en.wikipedia.org/wiki/Definitions_of_science_fiction

    "A science fiction story is a story built around human beings, with a human problem, and a human solution, which would not have happened at all without its scientific content." [13] Basil Davenport. 1955. "Science fiction is fiction based upon some imagined development of science, or upon the extrapolation of a tendency in society." [14] Edmund ...

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