pigeonhole principle sentence in Hindi
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- This principle is not a generalization of the pigeonhole principle for finite sets however : It is in general false for finite sets.
- With Yakir Aharonov and his group, Popescu discovered a number of quantum paradoxes, such as the quantum Cheshire Cat, and the quantum pigeonhole principle.
- :Your argument uses the basic version of the pigeonhole principle, but there's also a talk ) 19 : 36, 15 September 2008 ( UTC)
- Yes, the compressed string is longer than the uncompressed string; that's unavoidable in general ( by the pigeonhole principle, aka the counting argument ).
- In mathematics, the "'pigeonhole principle "'states that if items are put into containers, with, then at least one container must contain more than one item.
- Any reversible gate that consumes its inputs and allows all input computations must have no more input bits than output bits, by the pigeonhole principle.
- He first used the pigeonhole principle, a basic counting argument, in the proof of a theorem in diophantine approximation, later named after him Dirichlet's approximation theorem.
- Invoking the pigeonhole principle doesn't seem to be the most natural way to explain this . talk ) 08 : 48, 6 August 2008 ( UTC)
- There are 5 edges incident to " v " and so ( by the pigeonhole principle ) at least 3 of them must be the same colour.
- Another way to phrase the pigeonhole principle for finite sets is similar to the principle that finite sets are Dedekind finite : Let and be finite sets.
- Because the group is finite, the pigeonhole principle guarantees that each element of the group will be represented in each row and in each column exactly once.
- Where " K " is infinite, a pigeonhole principle proof technique considers the linear subspace generated by two elements and proves that there are only finitely many linear combinations
- To do so requires the formal statement of the pigeonhole principle, which is " " there does not exist an injective function whose codomain is smaller than its domain " ".
- This is a straightforward application of the pigeonhole principle : if a function is r-to-1, then after n / r + 1 queries we are guaranteed to have found a collision.
- To see that this implies the standard pigeonhole principle, take any fixed arrangement of pigeons into holes and let be the number of pigeons in a hole chosen uniformly at random.
- Since it must generate one of 2 256 outputs for each member of a much larger set of inputs, the pigeonhole principle guarantees that some inputs will hash to the same output.
- The pigeonhole principle prohibits a bijection between the collection of sequences of length " N " and any subset of the collection of sequences of length " N " " 1.
- The basic idea is to use the pigeonhole principle : if you have more objects than pigeonholes to put them in, then at least one pigeonhole must contain more than one object.
- A probabilistic generalization of the pigeonhole principle states that if pigeons are randomly put into pigeonholes with uniform probability, then at least one pigeonhole will hold more than one pigeon with probability
- I seem to recall reading that the coefficients have to be unbounded if it's transcendental, but I'm not sure if that's true or not : maybe an application of the pigeonhole principle.
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