| 词汇 | example_english_arithmetic-progression |
| 释义 | Examples of arithmetic progressionThese examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. It is easy to see that in each case the arithmeticprogression that we considered is a rainbow arithmeticprogression. However, this contradicts our choice of the arithmeticprogression. On sets of integers containing no k elements in arithmeticprogression. Their successive capacities form an arithmeticprogression. Due to mathematical properties of natural logarithm, the cycle lengths (periods) of oscillations, as an inverse of frequency, also form an arithmeticprogression after natural logarithmic transformation. In fact, a monochromatic solution of the system above is a monochromatic arithmeticprogression of length k with the additional property that the difference has the same colour, too. Specifically, the center frequencies and frequency ranges of oscillation bands with successively faster frequencies, from ultra-slow to ultra-fast frequency oscillations, form an arithmeticprogression on the natural logarithmic scale. The constant intervals between oscillation bands on the logarithmic scale (arithmeticprogression) correspond to a constant ratio between the bands on the linear scale (geometric progression). It is much fairer to have an arithmeticprogression of taxation relief rather than a geometric progression. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 He referred to a worrying arithmeticprogression of the basic pension from £5 this year to £3 next year and came up with £1.50 the following year. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 In the nature of an arithmeticprogression, it was four, two, four, six, four, six. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 We owe him the general concept of factorial as a product of a finite number of terms in arithmeticprogression. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The behavior of the arithmeticprogression depends on the common difference "d". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A finite portion of an arithmeticprogression is called a finite arithmeticprogression and sometimes just called an arithmeticprogression. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The 30-60-90 triangle is the only right triangle whose angles are in an arithmeticprogression. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For instance, the sequence 5, 7, 9, 11, 13, 15 is an arithmeticprogression with common difference of 2. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The sum of a finite arithmeticprogression is called an arithmetic series. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The sum of the members of a finite arithmeticprogression is called an arithmetic series. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Sometimes (not in this article) the phrase may also be used about primes which belong to an arithmeticprogression which also contains composite numbers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. His early research was in number theory, investigating such topics as primes in arithmetic progression and polynomials with many initial composite values. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Logarithms were any arithmeticprogression which corresponded to a geometric progression. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In particular, the seven elements (in) before a noble gas (group 18, in) higher than helium have the number of electrons in the valence shell in arithmeticprogression. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. However, the case of simplices is easier to present, and is enough for the application to arithmetic progressions of length four. Our goal is to construct a finite family (with m elements) of symmetric random functions associated with m arithmetic progressions. There is a tendency for large maximal sum-free sets to contain large arithmetic progressions, of size (n). The primes contain arbitrarily long arithmetic progressions. Typical topics include covering system, zero-sum problems, various restricted sumsets, and arithmetic progressions in a set of integers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In other words there exist arithmetic progressions of primes, with "k" terms, where "k" can be any natural number. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This theorem states that there are arbitrarily long arithmetic progressions of prime numbers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This quotient is the "class group" of the formation and the equivalence classes are generalised arithmetic progressions or generalised ideal classes. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is the coarsest topology that includes as open subsets the family of all arithmetic progressions: that is, arithmetic progressions are a subbase for the topology. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Also, since blue numbers are odd and green numbers are even, a blue and a green cannot be the first and third terms of an arithmeticprogression. Our results are not 'either-or' statements and are thus the first results in the literature guaranteeing the existence of rainbow arithmetic progressions. Dirichlet's theorem on arithmetic progressions demonstrates that this is indeed the case. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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