EN | RU    
Scientific & Technical Literature Publishing House
Search:

Home»

Contact Us»

Journals»

News»

Preparation of Papers»

Advertising»

Feedback»

Books»

About Us»



advertisement



Applied Physics and Mathematics

Annotation
<< Back
Probabilistic properties of some sequences on a finite interval of the natural numbers
V.L. Vol'fson

The author obtained a formula for determining the deviation
of the density of the sequence (a natural number is divisible
by different primes on a finite interval) from the asymptotic
density of the sequence. The work gives an estimate of the
deviation and shows that it is inversely proportional to length
of a finite interval. The article show that in the big finite interval
of the natural numbers with high precision is executed the
independence of the events that a natural number is divisible
by different primes. The author has found the maximum
absolute error in the determination of the probability of
events (the natural numbers in a finite interval are not divisible
by different primes) and the estimation of the relative error
of these events. The article shows that the independence of
the events (a natural number is divisible by different primes
on a finite interval) generally not satisfied. The author found
the formula for determining the asymptotic density and the
number of primes after a certain number of steps of the sieve
of Eratosthenes. The paper contains a generalization of the
probability space on a finite interval of the natural numbers
to the density of k-tuples. The author defines the asymptotic
density of k-tuples into the infinite space of the natural
numbers. He investigates three cases of asymptotic density of
k-tuples. The author demonstrates two conjectures about the
values of the Riemann function.
Key words: density of the sequence, asymptotic density of the
sequence, probability, independence of events, natural numbers,
primes, the sieve of Eratosthenes, conjecture, Riemann function.

Contacts: E-mail: znakvicvolf@mail.ru

Pp. 47-56.

 Sections

«About journal

«Archive

«Thematic focus of the journal

«Formatting rules

«Stages of the review and publication

«Review process

«Editorial and Professional Ethics

«Detecting plagiarism

«Editors and Editorial Board

«News journal


 Journals
...................................
Instruments and Systems: Monitoring, Control, and Diagnostics
...................................
Instrument-Making and Automation Means. Encyclopedic Textbook
...................................
Industrial Automatic Control Systems and Controllers
...................................
Ecological Systems and Devices
...................................
Aerospace Instrument-Making
...................................
Engineering Physics
...................................
History of Science and Engineering
...................................
Music and Time
...................................
Note Album
...................................
Musicology
...................................
Universal History
...................................
Directory of engineer
...................................
Applied Physics and Mathematics
...................................
News Academy of Engineering Sciences A.M. Prokhorov
...................................

Last news:

Выставки по автоматизации и электронике «ПТА-Урал 2018» и «Электроника-Урал 2018» состоятся в Екатеринбурге

Открыта электронная регистрация на выставку Дефектоскопия / NDT St. Petersburg

Открыта регистрация на 9-ю Международную научно-практическую конференцию «Строительство и ремонт скважин — 2018»

ExpoElectronica и ElectronTechExpo 2018: рост площади экспозиции на 19% и новые формы контент-программы

Тематика и состав экспозиции РЭП на выставке "ChipEXPO - 2018"

   Rambler's Top100 Rambler's Top100         


    Management system developed by: ananskikh.ru
© Publishing House "NAUCHTEKHLITIZDAT", 2005-2024