V.O.Chidambaram Collegevoccollege.ac.in/voc/wp-content/uploads/2019/03/... · 1-99-The letter ‘D’ doesn’t appear in these numbers. 100- is the first number that contains the

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MATH – MYST ( Bi Annual E-Magazine )

Department of Mathematics and Research Centre

V.O.Chidambaram CollegeReaccredited by NAAC with ‘A’ Grade

(CGPA of 3.31 out of 4.0)(3rd Cycle)Department of Mathematics and Research Centre

Thoothukkudi-628008MATH – MYST

( Bi Annual E-Magazine )

Volume:1 Issue:1 March 2019

Editor’s Desk…..Today the educationists are familiar

with the word “STEM- ScienceTechnology Engineering and

Mathematics”. We need to teach our

students within the fields of STEM in

order to be competitive in the 21st

century global economy. Without solid

foundation in Mathematics one cannot

be successful in STEM. The importance

of a solid education in mathematics

education goes much beyond the current

conversation of improved proficiency on

test scores. In Greek, Mathematics means

“Learning” and in Hebrew it’s root is“Thinking”. In a seed, there is an infinite

capacity to grow. Infinity exists in a finite

seed. Students are like seeds. This

newsletter has paved a pathway for them

to demonstrate and share their

mathematical knowledge in a common

platform.

Editor in Chief: Dr.S.Jackson

EDITORIAL BOARD

Dr. J.Antony Rex Rodrigo

Dr. A.Nagarajan

Dr. R.Balakrishnan

Dr. C.Devamanoharan

Dr. L.Meenakshi Sundaram

Dr. S.Jackson

Dr. L.Pandi selvi

Mr. P.Mariappan

Ms. V.Brishni

Mr. S.Hari Krishna Moorthy

I M.Sc Maths

Ms. K.Theiva NithyaII B.Sc Maths

Mr. B.SeranthaiyanI B.Sc Maths

PUBLISHERSDepartment of Mathematics and

Research CentreV.O.Chidambaram College

Thoothukudi-628008Email :[email protected]

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ABOUT THE DEPARTMENT

Our P.G and Research Department of

Mathematics which was started in 1957 is one

of the oldest and premier department. P.G

Mathematics was introduced in 1983 and our

department was elevated as Dr.S.S.Pillai

Research Centre in Mathematics in 2008. At

present four of our faculty are guiding Ph.D.

scholars in the area of Topology, Graph

Theory and Algebra. In our department so far

scholars 67 have been awarded Ph.D and 8

are pursuing research in various fields of

Mathematics. One major research project and

one minor project have been undertaken by

our faculty. Our department faculties had

published more than 400 research articles in

various refereed national and international

journals.

S.S.Pillai Endowment for Research in

MathematicsS.S.Pillai Research Centre for

Mathematics is named afterDr.S.Sivasankara Narayana Pillai, aneminent mathematician. He belongs to Vallannear Shencottai, a southern part ofTamilnadu. His seminal contribution to thefield of Number Theory, particularly toWaring’s Problems, remains unparalleled.Dr.Pillai (1901 – 1950) served in AnnamalaiUniversity, Travancore University andUniversity of Calcutta. He was also a visitingfellow at Institute of Advanced Studies,Princeton University, U.S.A. He was also thefirst mathematician to be awarded D.Sc. bythe University of Madras.

As a part of our department’scommitment to relevant research, anendowment, named Dr.S.S.Pillai, has beenestablished with the generous and volunteercontributions of our faculty members andresearch scholars. The objective of theendowment is to promote the spirit ofresearch in mathematics among students andteachers to study the recent trends inmathematical research and to disseminateknowledge by conducting variousprogramme which help students to make acareer in Mathematics.

NOBEL PRIZE OF MATHEMATICS

The Fields Medal is often described as the “Nobel Prize ofMathematics” and for a long time has been regarded as the mostprestigious award in the field of Mathematics. Unlike the Nobel Prize,

the Fields Medal is only awarded every four years. The Fields Medal

also has an age limit: a recipient must be under age 40 on 1 January of

the year in which the medal is awarded.

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SRINIVASA RAMANUJAN

Srinivasa Iyengar Ramanujan(22

December 1887-26 April 1920) was an

Indian mathematical genius and autodidact.

Though he had almost no formal training in

pure mathematics, he made substantial

contributions to mathematical analysis,

numbertheory, infiniteseries and continued

fractions including solutions to mathematical

problems considered to be unsolvable.

Ramanujan initially developed his own

mathematical research in isolation.It was

quickly recognized by Indian

mathematicians. During his short life,

Ramanujan independently compiled nearly

3,900 results.

The number 1729 is known as the Hardy-

Ramanujan number after a famous visit by

Hardy to see Ramanujan at a hospital. His

birthday is celebrated as the “NATIONALMATHEMATICS DAY”.

S.S.PILLAI

Subbaya Sivasankaranarayana

Pillai(1901-1950) was born at Vallam near

the famous waterfalls town namely

Courtallam which is situated in Thirunelveli

district, Tamilnadu. He specialized in number

theory. His contribution to Waring’s Problemwas described in 1950 by

K.S.Chandrasekharan as “almost certainlyhis best piece of work and one of the very

best achievements in Indian Mathematics

since Ramanujan”.In 1927, S. S. Pillai received a Research

Studentship at the University of Madras to

work under Professors K. Ananda Rao and

R. Vaidyanathaswamy. Then he joined

Annamalai University as a lecturer. There his

mathematical achievements seem to have

peaked. Indeed, Madras university honored

him by awarding D.Sc. for his research

achievements. He was the first one to get this

honor in Mathematics.

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“Pi” World

“Pi Day” is celebrated on March 14.

Pi = Circumference divided by

diameter.

Pi is a most famous irrational number.

An irrational number is a decimal that

does not terminate or repeat.

The world record for a computer

finding the digits of Pi was made in

2013 to eight quadrillion places to the

right of the decimal point (quadrillion

= ).

you were to print 1 billion ( )

decimal values of Pi in ordinary font

it would stretch from New York city to

Kansas.

Albert Einstein was born on Pi day

(14/03/1879) in Germany.

The easiest way to remember the value

of Pi (3.1415926) is by counting each

word’s letter in “May I have a largecontainer of coffee”.

On 11/03/2009 the American

government recognised Pi day as a day

of celebration.

S.Harikrishna Moorthy

I M.Sc Maths

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MAGIC SQUARE

A magic square is an arrangement of the numbers from 1 to in an n*n matrix,with

each number occuring exactly once, and such that the sum of the entries of any row,any

column,or any main diagonal is the same and the sum is called as the magic constant or

magic sum of the magic square.It is not hard to show that this sum must be .

Now, here we are going to see, one of the most famous 4*4 magic square

Ramanujan’s Magic Square

The magic in this square is,

The sum of any column is 139.

The sum of any row is 139.

The sum of diagonal elements are 139.

The sum of any 2*2 box is 139.

The first row 22,12,18,87 is special because it is “RAMANUJAN’S BIRTH DATE”

(22/12/1887) .

22 12 18 87

88 17 9 25

10 24 89 16

19 86 23 11

B.Sakthi DeviII M.Sc Maths

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MATHS ‘MAGIC’

Write down the three-digit

number whose digits are

decreasing.

Then reverse the digits to create a

new number.

Subtract the reversed number

from the original number.

With the resulting number , add it

to the reverse of itself.

The number you will get is 1089.

For example:

Let us take 532(three digit number in

decreasing order).

Then the reverse is 235.

Subtract 532-235 we get 297.

Now add 297 and its reverse 792

The resulting answer is 1089.

K.Theiva NithyaII B.Sc Maths

Geometrical view of series

Consider a rectangle with length 2 units and

breadth 1 unit and hence with area 2 sq.units.

Partition it as shown in the diagram. The area

of the rectangle is equal to the sum of the

areas of the subdivided regions. Here, we

have infinite subregions.

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“MAT” LAB

Does 0.999 (repeated) equal “one”?

You might be surprised by the

answer which is “yes”. Here goes

the proof.

The expression 0.999... is some

number.It has some value. Call this

numerical value “x”, so 0.999... = x.

Multiply this equation by ten,

x = 0.999...

10x = 9.999...

Subtract the former from the later:

10x = 9.999…

x = 0.999…

9x = 9.000…

Solving, we get x = 1,

0.999... = 1.

Magical evolution of standard

formulae.

We all know the formula to find the sum

of first n natural numbers. Here comes its

beautiful evolution.

In elementary school in the late

1700’s, Gauss was asked to find the

sum of the numbers from 1 to 100.

The question was assigned as “busy work”

by the teacher, but Gauss found the answer

rather quickly by discovering a pattern. His

observation was as follows:

1 + 2 + 3 + 4 + … + 98 + 99 + 100

Gauss noticed that if he was to split the

numbers into two groups (1 to 50 and 51 to

100), he could add them together vertically

to get a sum of 101.

1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50

100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51

1 + 100 = 101

2 + 99 = 101

3 + 98 = 101

.

.

48 + 53 = 101

49 + 52 = 101

50 + 51 = 101

Gauss realized that his final total would

be 50(101) = 5050.

The sequence of numbers (1, 2, 3, … ,

100) is arithmetic and when we are looking

for the sum of a sequence, we call it a series.

Thanks to Gauss, there is a special formula

we can use to find the sum of a series:

B.SeranthaiyanI B.Sc Maths

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The π clock

(Approximately)

S.Siva SankarIII B.Sc Maths

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MATHs master

A pizza that has radius “z” and height

“a” has volume Pi*z*z*a.

Zero is the only number that can’t berepresented in Roman numerals.The Latinword “nulla” would have been usedinstead.

FORTY The only number whose letters

are in alphabetical order

1-99-The letter ‘D’ doesn’t appear in thesenumbers.

100- is the first number that contains the

letter D.

1-999- The letter ‘A’ doesn’t appear inthese numbers.

1000- is the first number that contains the

letter A.

145- Special number 1!+4!+5!=145.

26 - Only positive number to be directly

between a square and cube.

S.SivaramalakshmiIII B.Sc Maths

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Department Events

Q MAT -18:

Our PG and Research Department of Mathematics conducted Q- MAT 18, an interschool

Maths Quiz Competition for the Thoothukudi and Tirunelveli District school students on

16.10.2018(Tuesday).Dr. A. Nellai Murugan, Dr. J. Antony Rex Rodrigo, Dr. A. Nagarajan ,

Dr. L. Meenakshi Sundaram and Dr. S. Jackson were the quiz masters. Sri Kamakshi Vidyalaya

Matriculation Hr.Sec School, Thoothukudi won the rolling trophy sponsored by Canara Bank,

Chidambaranagar branch, Thoothukudi. Sakthi Vinayagar Hindu Vidyalaya, Thoothukudi

secured the second place and A.P.C.Veerabahu Mat.Hr.Sec.School secured the Third Place.

Our principal Dr.C.Veerabahu presided over the function. Shri. S. Rajangam, Chief Manager,

Canara Bank, Chidambaranagar, Thoothukudi felicitated the function. Dr.S. Pious Missier,

Principal, Don Bosco College of Arts and Science, Keela Eral was the chief guest of the

function distributed the prizes.

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Rank Holders:

The following students secured university ranks at Manonmaniam Sundaranar University

in the April 2018 examinations.

Post Graduate:

1.S .Maheshwari – Gold Medalist

Under Graduate:

1. S.Harikrishna Moorthy - 3rd Rank

2.S.Nivetha - 9th Rank

3.P.Vaishnavi - 18th Rank

Ph.D Awarded:

S.No

Scholar Name Supervisor Name Thesis Title Viva VoceDate

1 Mrs. L. PandiselviDr. S. Navaneetha Krishnan

(Retd)

Some Problems in GraphLabeling

14.05.2018

2Mrs. Stella Arputha

Mary

Dr. S. Navaneetha Krishnan

(Retd)

The Existance andConstruction of Some

Types of Graph Labeling14.05.2018

3 Mr. P. ChinnaRaj Dr. R. BalakrishnanA survey of Semi Near

Rings17.05.2018

4 Mr.S.JacksonDr.S.Pious Misisier

(Retd)

Studies in soft topology:Contributions to a New

class of Soft GeneralizedClosed sets

24.05.2018

5Mr.L.Meenakshi

SundaramDr.A.Nagarajan

Some Graph LabelingProblems And Related

Topics30.08.2018

6 Mrs. A. PonmoniDr. S. Navaneetha Krishnan

(Retd)Studies on Graph

Labeling Problems21.12.2018

7Mrs. S. Shenbaga

DeviDr.A.Nagarajan

Some Graph LabelingProblems and Related

Topics21.12.2018

8Ms. S. Vijayakumari

SaradhaDr. A. Nellai Murugan

(Retd)

A study on QueuingModels on PublicService Sectors

11.02.2019

9 Mrs. M. AnnalaksmiDr.S.Pious Misisier

(Retd)

Certain Investigations on anew class of Nearly Open

sets and New class ofGeneralized Closed sets in

Topological Spaces

15.02.2019

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Resource Persons:

1. Dr. L. Pandi Selvi served as a resource person in the Research Oriented Lecture

Series-2018 organized by Department of Mathematics, A.P.C.Mahalakshmi College

for Women, Thoothukudi on 25.09.2018.

2. Dr. J. Antony Rex Rodrigo served as a resource person in the Young Student

Scientists Programme (YSSP-2018) organized by V.O.Chidambaram College and

Sponsored by Tamil Nadu state Council for Science and Technology, Chennai from

24.12.2018 to 07.01.2019.

3. Dr.S.Jackson served as a resource person in the Young Student Scientists Programme

(YSSP-2018) organized by V.O.Chidambaram College and Sponsored by Tamil Nadu

State Council for Science and Technology, Chennai from 24.12.2018 to 07.01.2019.

4. Dr.A.Nagarajan served as a resource person in the International Conference on

Applications of Graph Theory in Digital India organized by Department of

Mathematics, Sri Saradha College for Women, Tirunelveli on 25.01.2019

5. Dr.A.Nagarajan gave a lecture entitled

“Labeling Problems in Graphs” in theNational Seminar on Emerging Trends

in Applicable Mathematics organized by

Department of Mathematics ,Don Bosco

College of Arts and Science, KeelaEral

on 15.02.2019.

Award:

The paper entitled” On ρ-homeomorphisms in topologicalspaces”published by Dr. C. DevaManoharan in Italian Journal of

Pure and Applied Mathematics got best paper award .

Talent Expo:

1. M.Ashwini Devi and J.Jasmine of I M.Sc Mathematics and M.Muthu Maheshwari of

II B.Sc Mathematics won the second prize in News Paper Dressing at Fisfest 2019

organized By Fisheries College and Research Institute, Thoothukudi on 22.02.2019.

2. Department of Mathematics won the second prize in the interdepartmental model

exhibition between science departments organized by A.P.C.Veerabahu Endowment

for Science and Technology, V.O.Chidambaram College on 28.02.2019 as a part of

National Science Day celebrations.

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