Definition, Betydelse & Synonymer | Engelska ordet ONE-TO-ONE

Definition av ONE-TO-ONE

1. (matematik) injektiv
2. (matematik) injektion; en injektiv avbildning

Exempel på hur du använder ONE-TO-ONE i en mening

• A bijection, bijective function, or one-to-one correspondence between two mathematical sets is a function such that each element of the second set (the codomain) is the image of exactly one element of the first set (the domain).
• Two sets have the same cardinality if, and only if, there is a one-to-one correspondence (bijection) between the elements of the two sets.
• Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers.
• Mersenne primes were studied in antiquity because of their close connection to perfect numbers: the Euclid–Euler theorem asserts a one-to-one correspondence between even perfect numbers and Mersenne primes.
• Typically, a student taking music lessons meets a music teacher for one-to-one training sessions ranging from 30 minutes to one hour in length over a period of weeks or years.
• speaking, the ability to converse with multiple people in the same conversation differentiates chat rooms from instant messaging programs, which are more typically designed for one-to-one communication.
• Cantor's diagonal argument (among various similar names) is a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbersinformally, that there are sets which in some sense contain more elements than there are positive integers.
• The mnemonic peg system, invented by Henry Herdson, is a memory aid that works by creating mental associations between two concrete objects in a one-to-one fashion that will later be applied to to-be-remembered information.
• showed that the correspondence in the theorem is one-to-one, but he failed to explicitly show it was a homomorphism (and thus an embedding).
• Asynchronous muscles, muscles in which there is no one-to-one relationship between stimulation and contraction.
• The crossbar switch has the property of being able to connect N inputs to N outputs in any one-to-one combination, so it can connect any caller to any non-busy receiver, a property given the technical term "nonblocking".
• In other words, the space of orthonormal bases is like the orthogonal group, but without a choice of base point: given the space of orthonormal bases, there is no natural choice of orthonormal basis, but once one is given one, there is a one-to-one correspondence between bases and the orthogonal group.
• so the only coalitions that generate synergy are one-to-one between the owner and any individual worker.
• There are two natural one-to-one correspondences between permutations and permutation matrices, one of which works along the rows of the matrix, the other along its columns.
• Feldenkrais lessons have two types, one verbally guided and practiced in groups called Awareness Through Movement, and one hands-on and practiced one-to-one called Functional Integration.
• For most languages, phonetic transcription makes it possible to show pronunciation with something much nearer to a one-to-one relationship between sound and symbol than is possible with the language's orthography.
• The local version of the cross section theorem then states that the equivariant local trivializations of a principal bundle are in one-to-one correspondence with local sections.
• Hume's principle or HP says that the number of Fs is equal to the number of Gs if and only if there is a one-to-one correspondence (a bijection) between the Fs and the Gs.
• Note that any member of the modular group maps the projectively extended real line one-to-one to itself, and furthermore bijectively maps the projectively extended rational line (the rationals with infinity) to itself, the irrationals to the irrationals, the transcendental numbers to the transcendental numbers, the non-real numbers to the non-real numbers, the upper half-plane to the upper half-plane, et cetera.
• Fouser evaluated the system as prioritizing use for Koreans; it had a one-to-one correspondence from Hangul to Latin script, and did not account for the pronunciation changes that Hangul itself did not reflect.

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