Proceedings of the 2016 Joint International Information Technology, Mechanical and Electronic Engineering

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Application of Monte Carlo method in the simulation of circumference ratio

Authors
Zhao Hui Min
Corresponding Author
Zhao Hui Min
Available Online October 2016.
DOI
10.2991/jimec-16.2016.92How to use a DOI?
Keywords
Monte Carlo method, Circumference ratio, Buffon's Needle
Abstract

We have calculated the circumference ratio by Monte Carlo method and Buffon's Needle algorithm. Our results reveal that the estimated value approaches to the expected value as the Monte Carlo steps increase. The error between the estimated and the expected values decreases inversely as the square root of MCS increases. When MCS reaches 1010, the error is only one part per million of the expected value.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 Joint International Information Technology, Mechanical and Electronic Engineering
Series
Advances in Engineering Research
Publication Date
October 2016
ISBN
10.2991/jimec-16.2016.92
ISSN
2352-5401
DOI
10.2991/jimec-16.2016.92How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Zhao Hui Min
PY  - 2016/10
DA  - 2016/10
TI  - Application of Monte Carlo method in the simulation of circumference ratio
BT  - Proceedings of the 2016 Joint International Information Technology, Mechanical and Electronic Engineering
PB  - Atlantis Press
SP  - 510
EP  - 513
SN  - 2352-5401
UR  - https://doi.org/10.2991/jimec-16.2016.92
DO  - 10.2991/jimec-16.2016.92
ID  - HuiMin2016/10
ER  -