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arithmetic progression

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(analysis) A sequence in which each term except the first is obtained from the previous by adding a constant value, known as the common difference of the arithmetic progression.

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Αριθμητική πρόοδος

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sequence of numbers with constant differences between consecutive numbers
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If they are relatively prime, Dirichlet's theorem on arithmetic progressions asserts that the progression contains infinitely many primes.
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This theorem states that there are arbitrarily long arithmetic progressions of prime numbers.
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For example, Dirichlet's theorem asserts that in any arithmetic progression a, a + m, a + 2m, ... with coprime a and m, there are infinitely many prime numbers.
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This Kepler triangle is the only right triangle proportion with edge lengths in geometric progression, just as the 3–4–5 triangle is the only right triangle proportion with edge lengths in arithmetic progression.
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In mathematics, a multiple arithmetic progression, generalized arithmetic progression, k-dimensional arithmetic progression or a linear set, is a set of integers or tuples of integers constructed as an arithmetic progression is, but allowing several possible differences.
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Mahavira also: Asserted that the square root of a negative number did not exist Gave the sum of a series whose terms are squares of an arithmetical progression, and gave empirical rules for area and perimeter of an ellipse.
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This is stronger than Dirichlet's theorem on arithmetic progressions (which only states that there is an infinity of primes in each class) and can be proved using similar methods used by Newman for his proof of the prime number theorem.
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His contributions include: Arithmetic: Interest computation Arithmetical and geometrical progressions Plane geometry Solid geometry The shadow of the gnomon Solutions of combinations Gave a proof for division by zero being infinity.
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Every evening we check on the day’s schooling, going over Valérie’s progress in arithmetic, French grammar (especially the verbs) and reading —where she now excels!
Πρέπει, ωστόσο, να ληφθεί υπόψη ο αντίκτυπος των νέων ρυθμίσεων στα εισαγόμενα προϊόντα και το γεγονός ότι, ενώ η Ευρώπη είναι ένας μεγάλος εισαγωγέας σε συνεχή ανταγωνισμό στην παγκόσμια αγορά, οι κοινοτικοί κανόνες είναι πιο επαχθείς από τους κανόνες του Κώδικα Τροφίμων, οι οποίοι συνεπώς πρέπει να προσαρμοστούν ώστε να μην υφίστανται κυρώσεις οι ευρωπαϊκές επιχειρήσειςjw2019 jw2019
- In the same way, a direct influence may be more readily assumed if there is an arithmetical relationship between progression of the amount of the subsidy, the quantity produced and progression of the actual price of the goods or services concerned.
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Under this system, which makes compulsory for all Member States the current optional arrangements, all direct payments will be reduced progressively in arithmetic steps of 3 % per year to reach 20%, the maximum agreed in Agenda 2000.
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1.5 Sum of cubes of numbers in arithmetic progression
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There are examples of cubes of numbers in arithmetic progression whose sum is a cube:
Ο κοινοποιημένος φορέας αξιολογεί το σύστημα ποιότητας, προκειμένου να καθορίσει κατά πόσον αυτό ανταποκρίνεται στις απαιτήσειςπου προβλέπονται στο σημείοParaCrawl Corpus ParaCrawl Corpus
8 Prime number theorem for arithmetic progressions
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If they are relatively prime, Dirichlet's theorem on arithmetic progressions asserts that the progression contains infinitely many primes.[81]
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The Green–Tao theorem shows that there are arbitrarily long finite arithmetic progressions consisting only of primes.[33][82]
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If this necessary condition is satisfied, Dirichlet's theorem on arithmetic progressions asserts that the progression contains infinitely many primes.
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An arithmetic progression is the set of natural numbers that give the same remainder when divided by some fixed number q called modulus.
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Gave the sum of a series whose terms are squares of an arithmetical progression, and gave empirical rules for area and perimeter of an ellipse.
Το εν λόγω αίτημα πρέπει να υποστηριχθεί λαμβάνοντας επίσης υπόψη το αξιοσημείωτο γεγονός ότι το Σώμα αυτό συνέβαλε κατά τα τελευταία χρόνια στις προσπάθειες να προωθηθεί η τεχνολογική ανάπτυξη και να ενισχυθεί η ανταγωνιστικότητα της Ευρώπης με μια ευρεία ελευθέρωση του τομέα των τηλεπικοινωνιών.ParaCrawl Corpus ParaCrawl Corpus
(May 2009) In mathematics, a multiple arithmetic progression, generalized arithmetic progression, k-dimensional arithmetic progression or a linear set, is a set of integers or tuples of integers constructed as an arithmetic progression is, but allowing several possible differences.
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The hunger and thirst for righteousness leads to the discovery of truth, and truth augments ideals, and this creates new problems for the individual religionists, for our ideals tend to grow by geometrical progression, while our ability to live up to them is enhanced only by arithmetical progression.
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“It works out by arithmetical progression, because as soon as some of these people were well along the way and Clear themselves, you would find those people moving rapidly—a certain number of them moving rapidly into professional training, you couldn’t stop them—and moving straight on through and taking groups of their own.”
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“Now, if you started in and audited twenty people in this wise and then they got other people interested and you got some of them trained, or let’s say half of them eventually wound up auditing twenty people, even at this very limited view you’d see that we’re out on a very nice arithmetical progression.
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Of course, the numerical participation in these events must also be “global”... and growing constantly in an arithmetic (if not exponential) progression.
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24 sinne gevind in 11 ms. Hulle kom uit baie bronne en word nie nagegaan nie.