Wednesday, December 24, 2014

December - International and National Days

1 - World Aids Day
3 - World  Day Handicapped
4 - Navy Day India
5 - International Voluntary
7 - Armed Forces Flag Day India
10 - Human Rights Day, International Childrens Day of Broadcasting
11 Bukina Faso National Day
12 Kenya Independenec Day - Turkemenistan Day of Neutrality
14 - National Energy Conservation Day India
16 Bahrain Nat Day - Kazakhstan Independence Day
17 Bhutan National Day
18 Niger, Qatar, Minorities Rights Day (India)
22 - India - National Mathematics Day,
23 - Japan Royal Birthday, Kisan Divas (India)
24 - India - National Consumer Day,
25 - India - Good Governance Day,
31 -  Cuba Day of Liberation,  Haiti national Day, Samoa, Sudan

Updated 9 July 2017

Monday, December 22, 2014

23 December - India - Kisan Divas

23 December, birthday of Chaudhary Charan Singh is celebrated as Kisan Divas in India.

22 December - National Mathematics Day - India

Prime Minister declared  that 22 December will be National Mathematics Day.
It is the birthday of Sreenivasa Ramanujam, a mathematics genius of India.



Srinivasa Ramanujan - Biography

Srinivasa Ramanujan (22 December 1887 – 26 April 1920) was a mathematician, who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions.

Ramanujan independently compiled nearly 3900 results (mostly identities and equations). 

Ramanujan went to Cambridge in 1914. Hardy, his collaborator at Cambridge said Ramanujan could have become an outstanding mathematician if his skills had been recognized earlier. It was said about his talents of continued fractions and hypergeometric series that, “he was unquestionably one of the great masters.” It was due to his sharp memory, calculative mind, patience and insight that he was a great formalist of his days.

He got elected as the fellow in 1918 at the Trinity College at Cambridge and the Royal Society. He departed from this world on April 26, 1920.

In 1918, Hardy and Ramanujan studied the partition function P(n) extensively and gave a non-convergent asymptotic series that permits exact computation of the number of partitions of an integer. Hans Rademacher, in 1937, was able to refine their formula to find an exact convergent series solution to this problem. Ramanujan and Hardy's work in this area gave rise to a powerful new method for finding asymptotic formulae, called the circle method.

He discovered mock theta functions in the last year of his life.For many years these functions were a mystery, but they are now known to be the holomorphic parts of harmonic weak Maass forms.

The Ramanujan conjecture

Ramanujam has many conjectures to his credit

One conjecture has connection with conjectures of André Weil in algebraic geometry that opened up new areas of research. Ramanujan conjecture is an assertion on the size of the tau-function, which has as generating function the discriminant modular form Δ(q), a typical cusp form in the theory of modular forms. It was finally proven in 1973, as a consequence of Pierre Deligne's proof of the Weil conjectures. The reduction step involved is complicated. Deligne won a Fields Medal in 1978 for his work on Weil conjectures.


Hardy-Ramanujan number 1729

The number 1729 is known as the Hardy–Ramanujan number after a famous anecdote of the British mathematician G. H. Hardy In Hardy's words:
The two different ways are
1729 = 13 + 123 = 93 + 103.

Some Books on publications by Ramanujan

Srinivasa Ramanujan, G. H. Hardy, P. V. Seshu Aiyar, B. M. Wilson, Bruce C. Berndt (2000). Collected Papers of Srinivasa Ramanujan. AMS. ISBN 0-8218-2076-1.
 It contains the 37 papers published in professional journals by Ramanujan during his lifetime.

S. Ramanujan (1957). Notebooks (2 Volumes). Bombay: Tata Institute of Fundamental Research.

S. Ramanujan (1988). The Lost Notebook and Other Unpublished Papers. New Delhi: Narosa. ISBN 3-540-18726-X.
This book contains photo copies of the pages of the "Lost Notebook".

Problems posed by Ramanujan, Journal of the Indian Mathematical Society.

S. Ramanujan (2012). Notebooks (2 Volumes). Bombay: Tata Institute of Fundamental Research.

Sunday, December 7, 2014

7 December - India Armed Forces Flag Day

                                         Picture Source:

                                          INDIAN AIR FORCE FLAG
                                          Picture Source:

On Armed Forces Flag Day, flags of armed forces are bought by people to recognize the contribution of armed forces personnel to the society and in turn contribute to armed forces funds.

Donate to Army Central Welfare Fund

100% Income Tax Exemption under Section 80G

Army Central Welfare Fund

Monetary contributions to the Army may be made through Demand Draft in favour of “Army Central Welfare Fund” payable at New Delhi and forwarded to the under mentioned address :-

Director, Accounts Section
Ceremonials and Welfare Directorate
Adjutant Generals Branch
Room No 281-‘B’ (Accts Sec)
Integrated HQ of MoD (Army)
South Block, New Delhi – 110011

Alternatively, the amount can also be sent directly in the account of Army Central Welfare Fund under intimation to the above office as per the details of Bank Account given below :-

Name of Fund: Army Central Welfare Fund
Account No: 020500101007721
Type of Account: Saving
Bank: Corporation Bank
Branch: Chandni Chowk, Delhi - 110006
IFSC Code: CORP0000205

The contribution towards Army Central Welfare Fund is 100% exempted from income Tax vide clause (III HC) of Section 80-G of Income Tax Act 1961.

Donate to Airforce Wives Welfare Association

Donations Exempted under Income Tax Act 80 (G)

Information for Donors
Air Force Wives Welfare Association was formed on 28th Oct 1970 as a registered body to provide assistance to the families of deceased /disabled /retired /serving personnel of the Indian Air Force.
Registered Office
  Air Force Wives Welfare Association (Central)
Air Headquarters (Vayu Bhawan),
Rafi Marg,
New Delhi-110 011
Admin Office
  Air Force Wives Welfare Association (Central)
Santushti Shopping Complex,
New Wellington Camp,
Opp-Ashok-Samrat Hotel,
Race Course,
Aims and Objectives
The objects of the Association are as follows:
  To promote the welfare of the families of Officers, Airmen and NCs (E) of the IAF, whether deceased, retired or serving.
  To take steps to secure the welfare of all patients in Air Force Hospitals and of IAF patients in other hospitals, i.e. Army and Civil.
  To affiliate, amalgamate with and support any other society, association or trust having similar aims and objects.
  To carry out charitable, social, philanthropic, culture, educational and other activities for the benefits of the members and their families.
  To establish and manage alone or in cooperation with other Association/Organization; Hostels, Schools and such other Ventures/ establishments; primarily for the benefit for the members and their dependents.
  To create trusts and or other similar institutions to award scholarships, stipends and financial assistance for promotion of welfare activities.
  To raise fund by subscriptions, donations, collection, fetes etc. for any object consistent with the objects of the Association whether unconditional or subject to conditions of the trust.
  To invest Funds of the Association not immediately required for its purpose.
  To purchase, take on lease, hire or otherwise acquire and hold immovable or movable property for the Association and sell or otherwise dispose of the same.
  To erect, maintain, repair or improve any building for the purpose of the Association.
  To maintain, educational institutions, Vocational Training Institutes etc. for those entitled to benefit from the funds of the Association.
  To do all such other things as are incidental with or conducive to the above objects.
  To utilize income of the Association towards promotion of aims and objectives of Association.
The Association welcome any kind of donation in the form of cash or kind for the welfare of Air Force families & their dependents. The donation to this organization is exempted under Income Tax Act 80 (G). The cheque/draft should be drawn in favour of "Air Force Wives Welfare Association (Central)".

Indian Air Force Offical Website


Messages on the occasion of Flag Day from President, Prime Minister

Related Blog Post

4 December Navy Day - India

Thursday, December 4, 2014

4 December - Navy Day India

4 December is celebrated as the Navy Day in India, to commemorate the start of Operation Trident during the Indo-Pakistani War of 1971. The one-night attack the Indian Navy sank three vessels near the largest Pakistani port of Karachi. Operation Trident resulted in first use of anti ship missiles in the region.

Picture source:

The President, Shri Pranab Mukherjee, the Prime Minister, Shri Narendra Modi, the former Prime Minister, Dr. Manmohan Singh, the Union Minister for Defence, Shri Manohar Parrikar, the Union Minister for Finance, Corporate Affairs and Information & Broadcasting, Shri Arun Jaitley, the Minister of State for Information & Broadcasting, Col. Rajyavardhan Singh Rathore and other dignitaries during the 'At Home' reception, organised by the Chief of Naval Staff, Admiral R.K. Dhowan on the occasion of Navy Day, in New Delhi on December 04, 2014.
CNR :62672 Photo ID :59948

Photos of Navy Day Display in Mumbai