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  2. Inclusion–exclusion principle - Wikipedia

    en.wikipedia.org/wiki/Inclusion–exclusion...

    Include the cardinalities of the quintuple-wise intersections. Continue, until the cardinality of the n -tuple-wise intersection is included (if n is odd) or excluded ( n even). The name comes from the idea that the principle is based on over-generous inclusion , followed by compensating exclusion .

  3. Interval (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Interval_(mathematics)

    The Encyclopedia of Mathematics [7] defines interval (without a qualifier) to exclude both endpoints (i.e., open interval) and segment to include both endpoints (i.e., closed interval), while Rudin's Principles of Mathematical Analysis [8] calls sets of the form [a, b] intervals and sets of the form (a, b) segments throughout.

  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. Up to - Wikipedia

    en.wikipedia.org/wiki/Up_to

    Tetris pieces I, J, L, O, S, T, Z. Consider the seven Tetris pieces (I, J, L, O, S, T, Z), known mathematically as the tetrominoes.If you consider all the possible rotations of these pieces — for example, if you consider the "I" oriented vertically to be distinct from the "I" oriented horizontally — then you find there are 19 distinct possible shapes to be displayed on the screen.

  6. Inclusion and exclusion criteria - Wikipedia

    en.wikipedia.org/wiki/Inclusion_and_exclusion...

    Inclusion criteria may include factors such as type and stage of disease, the subject’s previous treatment history, age, sex, race, ethnicity. Exclusion criteria concern properties of the study sample, defining reasons for which patients from the target population are to be excluded from the current study sample. Typical exclusion criteria ...

  7. Natural number - Wikipedia

    en.wikipedia.org/wiki/Natural_number

    Starting at 0 or 1 has long been a matter of definition. In 1727, Bernard Le Bovier de Fontenelle wrote that his notions of distance and element led to defining the natural numbers as including or excluding 0. [23] In 1889, Giuseppe Peano used N for the positive integers and started at 1, [24] but he later changed to using N 0 and N 1. [25]

  8. Logical disjunction - Wikipedia

    en.wikipedia.org/wiki/Logical_disjunction

    Because the logical or means a disjunction formula is true when either one or both of its parts are true, it is referred to as an inclusive disjunction. This is in contrast with an exclusive disjunction, which is true when one or the other of the arguments are true, but not both (referred to as exclusive or, or XOR).

  9. Bracket (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Bracket_(mathematics)

    Here, the numbers may come as close as they like to 12, including 11.999 and so forth (with any finite number of 9s), but 12.0 is not included. In some European countries, the notation [ 5 , 12 [ {\displaystyle [5,12[} is also used for this, and wherever comma is used as decimal separator , semicolon might be used as a separator to avoid ...