Contraposition - Comparisons


name form description
implication if P then Q first statement implies truth of second
inverse if not P then not Q negation of both statements
converse if Q then P reversal of both statements
contrapositive if not Q then not P reversal and negation of both statements
negation P and not Q contradicts the implication

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Other articles related to "comparisons, comparison":

Shuttler - Comparisons With Other Racquet Sports - Comparisons of Speed and Athletic Requirements
... Statistics such as the smash speed, above, prompt badminton enthusiasts to make other comparisons that are more contentious ... fans of badminton and tennis often claim that their sport is the more physically demanding, such comparisons are difficult to make objectively because of the differing demands of the games ...
Three-way Comparison - High-level Languages - Composite Data Types
... Three-way comparisons have the elegant property of being simple to compose to build lexicographic comparisons of non-primitive data types, unlike two-way comparisons ... As a result, if the first comparison is equal (thus evaluates to 0), it will "fall through" to the second comparison, and so on ... comparison of lists are done lexicographically, which means that it is possible to build a chain of comparisons like the above example by putting the values into lists in the order desired for example in ...
Tukey's Range Test - Order of Comparisons
... be ranked in the order A > B > C > D, not all possible comparisons need be tested using Tukey's test ... If the qs value for the comparison of means A and D is less than the q value from the distribution, the null hypothesis is not rejected, and the means are said have no ... As a result, no other comparisons need to be made ...
Comparison Sort - Number of Comparisons Required To Sort A List
... The number of comparisons that a comparison sort algorithm requires increases at least in proportion to, where is the number of elements to sort ... The sort algorithm must gain enough information from the comparisons to identify the correct permutation ... cases because the keys are distinct and each comparison has only two possible outcomes ...
Schulze STV and Traditional STV
... Since it performs Condorcet pairwise comparisons, like CPO-STV, it doesn't suffer from defects caused by sequential exclusions ... In addition, the number of pairwise comparisons are greatly reduced, since Schulze STV only has to compare outcomes that differ by one candidate, unlike CPO-STV which must compare all ...

Famous quotes containing the word comparisons:

    Decade after decade, artists came to paint the light of Provincetown, and comparisons were made to the lagoons of Venice and the marshes of Holland, but then the summer ended and most of the painters left, and the long dingy undergarment of the gray New England winter, gray as the spirit of my mood, came down to visit.
    Norman Mailer (b. 1923)

    I don’t like comparisons with football. Baseball is an entirely different game. You can watch a tight, well-played football game, but it isn’t exciting if half the stadium is empty. The violence on the field must bounce off a lot of people. But you can go to a ball park on a quiet Tuesday afternoon with only a few thousand people in the place and thoroughly enjoy a one-sided game. Baseball has an aesthetic, intellectual appeal found in no other team sport.
    Bowie Kuhn (b. 1926)

    The surest route to breeding jealousy is to compare. Since jealousy comes from feeling “less than” another, comparisons only fan the fires.
    Dorothy Corkville Briggs (20th century)