Crossword-Solution: CONGRUENCES
We have 1 clue for the answer “CONGRUENCES”
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Dermatological complaint
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Hint 1 meaning
An inflammatory disease of the skin, characterized by the
presence of redness and itching, an eruption of small vesicles, and the
discharge of a watery exudation, which often dries up, leaving the skin
covered with crusts; -- called also tetter, milk crust, and salt rheum.
Hint 2 anagram
EMECZA
Hint 3 another clue
eruption
11 +2
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Sentences with CONGRUENCES (5)
Since a line depends on four constants, there are three distinct types of configurations arising in line geometry--those containing a triply-infinite, a doubly-infinite and a singly-infinite number of lines; they are called Complexes, Congruences, and Ruled Surfaces or Skews respectively.
Halphen that the number of lines common to two congruences is mm' + nn', which may be verified by taking one of them to be of this simple type.
But in addition to the difficulties of the theory of algebraic surfaces, a subject still in its infancy, the theory of congruences has other difficulties in that a congruence is seldom completely represented, even by two equations.
Our knowledge of congruences is almost exclusively confined to those in which either m or n does not exceed two.
The varieties (2, 2), (2, 3), (2, 4), (2, 5) all belong to at least one Reye complex; and so also does the most important class of (2, 6) congruences which includes all the above as special cases.
Quotes with CONGRUENCES (1)
Mathematicians call it “the arithmetic of congruences.” You can think of it as clock arithmetic. Temporarily replace the 12 on a clock face with 0. The 12 hours of the clock now read 0, 1, 2, 3, … up to 11. If the time is eight o’clock, and you add 9 hours, what do you get? Well, you get five o’clock. So in this arithmetic, 8 + 9 = 5; or, as mathematicians say, 8 + 9 ≡ 5 (mod 12), pronounced “eight plus nine is congruent to five, modulo twelve.
Where this answer appears
Appears in: Universal.
Used 1 time in crossword archives (2014).