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Even a fool can study the scriptures. Only a wise man can practice them. H H Swami Chinmayananda

Volume 4, Issue 1

Aug 2013

Contents -

CBSE Results - Page 2,3 Inter House Competitions - Pages 4, 5, 8 & 9 Jr. Celebrations - Pages 6, 7 Celebration - Page 10, 11 Mathematics Section - Pages 12 to 18

Chinmaya Fragrance

Editorial Board

☺ Mr. Subas Chandra Nath ☺ Mrs. Manju Rawat

Shaily

The Elite of Chinmaya Vidyalaya

Chinmaya Vidyalaya is proud of SHAILY GUPTA as she got the highest percentage (96.2) in AISSE conducted by CBSE this year. We on behalf of Chinmaya Vidyalaya forward our hearty CONGRATULATIONS and good wishes to her.

CHINMAYA VIDYALAYA – NTPC UNCHAHAR RESULT ANALYSIS FOR CLASS XII 2013

No. of students appeared --------------------------------------- 69 No. of students passed ------------------------------------------- 60 No. of students compartmental ------------------------------- 05 No. of students failed -------------------------------------------- 04 No. of students scored 90% and above ----------------------- 07 No. of students scored between 75% and 89.9% ------- 23 No. of students scored between 60% and 74.9% ------- 30

Sl. No

Name of the students Total Mark (Out of

500)

Percent-age

Rank

1. Shailly Gupta 481 96.2 1st

2. Abninav Shukla 467 93.4 2nd

3. Ravi Shekhar Singh 465 93 3rd

4. Ashmita Jaiswal 464 92.8 4th

5 Aditya Chauhan 462 92.4 5th

TOPPERS OF CLASS - XII

CHINMAYA VIDYALAYA – NTPC UNCHAHAR RESULT ANALYSIS FOR CLASS X 2013

Total No. of students -------------------------------------------- 81 No. of students scored 91% and above -------------------- 35 No. of students scored between 71% and 90% ------- 32 No. of students scored between 51% and 70% ------- 14 No. of students scored between 41% and 50% ------ NIL No. of students scored below 40% ------------------------- NIL

CHINMAYA VIDYALAYA - NTPC UNCHAHAR

Name of the students awarded with 'A1' grade in all five subjects of CLASS X (10 CGPA)

1. Abhishek Sharma ······························ Mr. R A Sharma

2. Anurag Gupta ······································ Mr. R K Gupta

3. Ayush Gupta ········································ Mr. K M Gupta

4. Harsh Vardhan ······································ Mr. A K Singh

5. Hitarth Rathore ····································· Mr. R Rathore

6. Narmada Pal ·············································· Mr. B S Pal

7. Nikhil Sharma ········································ Mr. S Kumar

8. Prakhar Srivastava ···························Mr. J P Srivastava

9. Rahul Singh ·············································· Mr. R Singh

10. Toshendra Kumar ····································· Mr. V Singh

INTER HOUSE COMPETITIONS ENGLISH ELOCUTION (JUNIOR) ON 27.04.13

HOUSEWISE RESULT INDIVIDUALS RESULT 1st. FREEDOM HOUSE 1st. Mudita (F) 2nd. SINCERITY HOUSE 2nd. Apoorva (H) 3rd. HONESTY HOUSE 3rd. Unnati (Fr) 4th. FRIENDSHIP HOUSE 4th. Ishita (S)

ENGLISH DECLAMATION (SENIOR) ON 27.04.13

HOUSEWISE RESULT INDIVIDUALS RESULT 1st. FREEDOM HOUSE 1st. Meenakshi (F)

2nd. FRIENDSHIP HOUSE 2nd. Romsi (Fr) 3rd. SINCERITY HOUSE 3rd. Vidhi (S) 4th. HONESTY HOUSE 4th. Anshi (F)

Primary wing (Activity report of this session up to July 2013)

The Pre-primary section of Chinmaya Vidyalaya is evolving with various outdoor activities as well as other co-curricular activities. This academic year started with ICE-BREAKING SESSION To make introductions, help students start communicating and sharing thoughts, a fun-filled and interactive 'Ice-breaking session' for Classes Prep to II was arranged on 26th Apr 2013. Followed by “GREEN DAY” To Spread awareness among children about the nature and environment, Green day was cele-brated on 27th Apr 2013 followed by a Chatpati Bhelpuri treat. Wearing Eco-firendly Green Headgears, students enjoyed the event and vowed to protect the Environment.

ICE BREAKING SESSION

GREEN DAY CELEBRATION

COLLAGE MAKING COMPETITION (JUNIOR) ON 04.05.13

HOUSEWISE INDIVIDUALS 1ST. HONESTY HOUSE 1st. Divya Chaubey (H) 2ND. SINCERITY HOUSE 2nd. Ishita Shukla (S) 3RD. FREEDOM HOUSE 2nd. Parul Singh (H) 4TH. FRIENDSHIP HOUSE

Divya Chaubey (H) Ishita Shukla (S)

Parul Singh (H)

PAINTING COMPETITION (SENIOR) ON 04.05.13

HOUSEWISE INDIVIDUALS 1ST. SINCERITY HOUSE 1st. Rhea Agarwal (Fr) 2ND. FRIENDSHIP HOUSE 2nd. Pooja Thakur (H) 3RD. FREEDOM HOUSE 3rd. Keerti Gaur (H) 4TH. HONESTY HOUSE

Rhea Agarwal (Fr) Pooja Thakur (H)

Keerti Gaur (H)

EVENT CELEBRATIONS/CONDUCTED To expose the children to Indian culture and ethos of the school following days were cele-brated- Chinmaya Jayanti as SEWA DIWAS

On 08th May 2013 Swami Chinmayanand's Jayanti was celebrated as Sewa Diwas. In a special Assembly; obeisance was paid to our Pujya Gurudev who always believed in"Service before self".

MATHEMATICS SECTION

Rangoli activity

HISTORY OF ZERO Undoubtedly the complete credit goes to INDIA for the invention of ZERO and its effects use as a number. In the beginning it was shown in the form of DOT or sometimes by a circle. It was known by the name “SHUNYA” meaning nothing in Sanskrit. Historians believed that it came into existence from 458 A.D.

Most of the number and problems were written in verses form (Known as SLOKA in Sanskrit) or in the basis of natural things. For Ex: Moon and Earth represents the Number 1, Eyes represents the Number 2, Indians were the First to introduce Base 10 system for the calculations. The opinion of historians says that the invention and application of Zero made effectively in and application of Zero made effectively in India because of the non availability of counting instru-ments ‘abacus’ which was popular during that period in different countries. The dependency to write the number for commercial purpose many be the main reason for its invention in India. The great mathematician of India Brahmagupta (Born in Multan and lived during 598-660 A.D) wrote on nature of Zero in his book “Bramhagupta Siddhanth” 1) A + 0 = A 2) A – 0 = A 3) A × 0 = 0 4) A / 0 = 0

His first 3 formulas were correct but he failed to express the product of 4th one. He told it as Zero instead of Infinity. Later it was solved by another famous Indian mathematician Bhaskar (1114 A.D – 1185A.D) who born at Bijapur in Karnataka. It was mentioned in his famous book “Leelavathi”

Invention of Zero inspired by the Indians to invent the negative numbers and later algebra also developed. All this shows the tremendous development of Maths and astronomy during 6th cen-tury to 10th century.

Spreading to China, Arabia and Europe:

The rich knowledge of mathematics and Astronomy of India spread to China and Arabian Coun-tries.

During 8th century the king of Baghdad Kholof-al-mansoor sent his people to Sindh (Now in Pakistan) for study of Mathematics, Astronomy and Medicine. Along with the education they car-ried the important books also. Later these Indian books were translated to Arabian Languages.

Famous mathematician of Arab Al-khwarizmi (790 A.D – 850 A.D) visited India in 830A.D. and he popularized the Indian numeral system through his popular book “Hisab-al-jabr-wa-al-muqabilah”. He translated the Sanskrit word “SHUNYA as Al-Saifor” or ‘Saifar’. Later ‘Al-sabr’ becomes Algebra.

Arabians found the importance of Indian Numeral System and felt that it was more useful than other numeral system. They maintained the secrecy with other countries; they avoided the admis-sions for abroad people to their instructions.

Leonard Fibonachhi (1170 A.D – 1230A.D) of Italy was the another famous mathematician who popularized the Indian Numerals by his book “Leeber abachhi” Wrote in 1202 A.D.

After the invention of printing press the Indian Numerals spread over to Spain, Italy, France and than to Germany. During 16th century these became so popular and the use of Abacus Declined.

Etymology:

After the translation of the Indian word “Shunya” became ‘Sifr’-Nothing in Arabic language. The word ‘Sifr’ became ‘Zephyr’ in Latin. Later the word ‘Zephyr’ became ZERO.

The mathematician Leonardo Fibonacci named it as ‘Zephyrus’ and he popularized it in European countries. In the same way it was called by different words in different languages with the same meaning.

Shunya – in Sanskrit,Cyfra – in polish,Cifra – in Spain, Zero – in French,Sonne – in Kannada,Ziffer – in German,Siffra – in Swedish. Meithen – in Greek.

Now, India is recognized with great respect for its invention of Zero by importance with Techno-logical world

In computer science, ZISC stands for Zero Instruction Set Computer, which refers to a chip tech-nology based on pure pattern matching and absence of (micro-) instructions in the classical sense. The ZISC acronym alludes to the previously developed RISC (Reduced Instruction Set Computer) technology.

Pi Definition The circumference of a circle is slightly more than three times as long as its diameter. The exact ratio is called π.

π is commonly defined as the ratio of a circle's circumference C to its diameter d:

The ratio C/d is constant, regardless of the circle's size. For example, if a circle has twice the diameter of another circle it will also have twice the circumference, preserving the ratio C/d. This definition of π implicitly makes use of flat (Euclidean) geometry; although the notion of a circle can be extended to any curved (non-Euclidean) geometry, these new circles will no longer satisfy the formula π = C/d. There are also other definitions of π which do not mention circles at all, for example: π is twice the smallest positive x for which cos(x) equals 0.

Name

The symbol used by mathematicians to represent the ratio of a circle's circumference to its di-ameter is the Greek letter π. That letter (and therefore the number π itself) can be denoted by the Latin word pi.

Properties

π is an irrational number, meaning that it cannot be written as the ratio of two inte-gers (fractions such as 22/7 are commonly used to approximate π; no fraction can be its exact value). Since π is irrational, it has an infinite number of digits in its decimal representation, and it does not end with an infinitely repeating pattern of digits. There are several proofs that π is irrational; they generally require calculus and rely on the reductio ad absurdum technique. The degree to which π can be approximated by rational numbers (called the irrationality measure) is not precisely known; estimates have established that the irrationality measure is larger than the measure of e or ln(2), but smaller than the measure of Liouville numbers.

Continued fractions

Like all irrational numbers, π cannot be represented as a simple fraction. But every irrational num-ber, including π, can be represented by an infinite series of nested fractions, called a continued fraction:

Truncating the continued fraction at any point generates a fraction that provides an approximation for π; two such fractions (22/7 and 355/113) have been used historically to approximate the constant. Each approximation generated in this way is a best rational approximation; that is, each is closer to π than any other fraction with the same or a smaller denominator. Although the simple continued fraction for π (shown above) does not exhibit a pattern, mathematicians have discovered sev-eral generalized continued fractions that do, such as:

Approximate value

Some approximations of π include: Fractions: Approximate fractions include (in order of increasing accu-

racy) 227, 333106, 355113, 5216316604, and 10399333102. Decimal: The first 100 decimal digits are 3.14159 26535 89793 23846 26433 83279 50288 41971

69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 ....

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