The Mathematical Significance of Leon Mirsky
Leon Mirsky was born on December 19, 1918 in Russia. In 1926, The Mirsky family moved to Germany and seven years later in 1933, they were forced out of Germany and settled in Bradford, England. In 1936, he began studying for his Intermediate Exam at King's College in London. After his exam, he received a scholarship for a degree in math. Leon graduated in 1940 and went on to receive his Masters Degree and then a Ph.D. in 1949.

In his work towards a mathematics degree, Mirsky developed a great interest in the number theory and Mr. Edmund Landu, a proponent of the theory who wrote several papers on the subject in 1899. The Number Theory is a theory describing all of the properties of numbers, such as prime numbers, algebraic number fields, and quadratic forms.

Mirsky studied three major fields, the first being the theory of numbers, the second being linear algebra, and the third being combinatorics. In his first field of study, the theory of numbers, he studied numbers that are not divisible by the rth power of an integer. He also verified, with similar results, the representation of an odd integer as the sum of three primes. He also contributed to the Goldbach conjecture that any even number greater than two can be written as the sum of two prime numbers. He also added to the twin primes conjecture which says that twin primes are pairs to primes that are 2 apart. Examples of this are 41 and 43 as well as 5 and 7. The conjecture also states that pairs of such primes are infinite.

Mirsky also studied linear algebra on which he wrote several papers. Mirsky most notably wrote An Introduction to Linear Algebra (1955) as well as 35 other papers on the subject. His accomplishments in this field include proving the existence of matrices with eigenvalues and diagonal elements. His book, An Introduction to Linear Algebra covers information that includes determinants, vectors, matrices, linear equations and quadratic...

...exp[λ(et − 1)]
r
p
r(1 − p)
pet
1 − (1 − p)et
p
2
r
MATHEMATICAL STATISTICS WITH APPLICATIONS
This page intentionally left blank
SEVENTH EDITION
Mathematical
Statistics with
Applications
Dennis D. Wackerly
University of Florida
William Mendenhall III
University of Florida, Emeritus
Richard L. Scheaffer
University of Florida, Emeritus
Australia • Brazil • Canada • Mexico • Singapore • Spain
United Kingdom • United States
Mathematical...

...The description of jails place in correction and its role throughout history
Jails were initiated before any other component within the correctional system such as prisons, probation, or halfway houses. These institutions are considered the front line of the correctional system because nearly every offender starts their journey through the system here. King Henry II ordered the first jail or gaols as they were known then, to be built in 1166. The purpose of these jails was to house...

...Critiquing the Mathematical Literacy Assessment Taxonomy: Where is the Reasoning and the Problem Solving?
Hamsa Venkat 1 Mellony Graven 2 Erna Lampen 1 Patricia Nalube 1
1 Marang Centre for Mathematics and Science Education, Wits University hamsa.venkatakrishnan@wits.ac.za; christine.lampen@wits.ac.za; patricia.nalube@wits.ac.za
2 Rhodes University
m.graven@ru.ac.za
...

...Significance of the study
Point of sale or POS systems are a necessary and invaluable part of most businesses. While they traditionally referred to an automated cash register, modern technology has seen that change to include a number of other elements that all make a business more efficient and easier to run.
Common POS systems include a computer, receipt printer, lockable cash drawer, a scanner to read the bar code, a magnetic swipe reader and a modem and pole display. Then...

...Mathematical Models
Contents
Definition of Mathematical Model Types of Variables The Mathematical Modeling Cycle Classification of Models
2
Definitions of Mathematical Model
Mathematical modeling is the process of creating a mathematical representation of some phenomenon in order to gain a better understanding of that phenomenon. It is a process that attempts to match observation with symbolic...

...MATHEMATICAL METHODS
1. Finding An Initial Basic Feasible Solution:
An initial basic feasible solution to a transportation problem can be found by any one of the three following methods:
I. North West Corner Rule
II. The Least Cost Method
III. Vogel’s Approximation Method
1. North West Corner Rule
The North West corner rule is a method for computing a basic feasible solution of a transportation problem, where the basic variables are selected from...

...
Mathematical Happenings
Rayne Charni
MTH 110
April 6, 2015
Prof. Charles Hobbs
Mathematical Happenings
Greek mathematicians from the 7th Century BC, such as Pythagoras and Euclid are the reasons for our fundamental understanding of mathematic science today. Adopting elements of mathematics from both the Egyptians and the Babylonians while researching and added their own works has lead to important theories and formulas used for all modern mathematics and...

775 Words |
5 Pages

Share this Document

{"hostname":"studymode.com","essaysImgCdnUrl":"\/\/images-study.netdna-ssl.com\/pi\/","useDefaultThumbs":true,"defaultThumbImgs":["\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_1.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_2.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_3.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_4.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_5.png"],"thumb_default_size":"160x220","thumb_ac_size":"80x110","isPayOrJoin":false,"essayUpload":false,"site_id":1,"autoComplete":false,"isPremiumCountry":false,"userCountryCode":"US","logPixelPath":"\/\/www.smhpix.com\/pixel.gif","tracking_url":"\/\/www.smhpix.com\/pixel.gif","cookies":{"unlimitedBanner":"off"},"essay":{"essayId":33063430,"categoryName":null,"categoryParentId":null,"currentPage":1,"format":"text","pageMeta":{"text":{"startPage":1,"endPage":2,"pageRange":"1-2","totalPages":2}},"access":"premium","title":"The Mathematical Significance of Leon Mirsky","additionalIds":[],"additional":[],"loadedPages":{"html":[],"text":[1,2]}},"user":null,"canonicalUrl":"http:\/\/www.studymode.com\/essays\/The-Mathematical-Significance-Of-Leon-Mirsky-103165.html","pagesPerLoad":50,"userType":"member_guest","ct":10,"ndocs":"1,500,000","pdocs":"6,000","cc":"10_PERCENT_1MO_AND_6MO","signUpUrl":"https:\/\/www.studymode.com\/signup\/","joinUrl":"https:\/\/www.studymode.com\/join","payPlanUrl":"\/checkout\/pay","upgradeUrl":"\/checkout\/upgrade","freeTrialUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fcheckout%2Fpay%2Ffree-trial\u0026bypassPaymentPage=1","showModal":"get-access","showModalUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fjoin","joinFreeUrl":"\/essays\/?newuser=1","siteId":1,"facebook":{"clientId":"306058689489023","version":"v2.8","language":"en_US"},"analytics":{"googleId":"UA-32718321-1"}}