Monday 22 July 2013

Sayanacharya and Speed of Light in Rig Veda

Sāyaṇa (सायण, with honorific Sāyaṇācārya ; died 1387) was an important commentator on the Vedas. He flourished under King Bukka I and his successor Harihara II, in the Vijayanagar Empire of South India. He was the son of Māyaṇa, and the pupil of Vishnu Sarvajna and of Samkarananda. More than a hundred works are attributed to him, among which are commentaries on nearly all parts of the Veda; some were carried out by his pupils, and some were written in conjunction with his brother Mādhava or Vidyāraṇya-svāmin.
Sayana's major work is his Vedartha Prakasha (literally, "the meaning of the Vedas made manifest"), or commentary on the Vedas. His commentary on the Rigveda was edited by Max Müller, 1823-1900. The core portion of the commentary was likely written by Sayana himself, but it also includes contributions of his brother Mādhava, and additions by his students and later authors who wrote under Sayana's name. "Sayana" (or also Sāyaṇamādhava) by convention refers to the collective authorship of the commentary as a whole without separating such layers.He has also written many lesser manuals called Sudhanidhis treating Prayaschitta (expiation), Yajnatantra (ritual), Purushartha (aims of human endeavour), Ayurveda (Indian traditional medicine), Sangit Sara (The essence of music), Prayaschitra, Alankara, and Dhatuvrddhi (grammar)
"tatha ca smaryate yojananam. sahasre dve dve sate dve ca yojane ekena nimishardhena kramaman"
तथा च स्मर्यते योजनानां सहस्त्रं द्वे द्वे शते द्वे च योजने एकेन निमिषार्धेन क्रममाण नमोऽस्तुते॥
"[O Sun,] bow to you, you who traverse 2,202 yojanas in half a nimesha.".
Strictly speaking, Sayana here attributes a (fantastically high) speed to the Sun (Surya), not to light itself. Depending on what values one assumes for a yojana and for a nimesha, this speed corresponds to about 186,000 miles per second, roughly equal to the speed of light. This was pointed out by P.V. Vartak in his Scientific Knowledge in the Vedas (1995, p. 95).1 yojana is said to comprise either 4 or 8 krosha (a cry or shout, or the range of the voice in calling); and 1 krosha (or goruta ~ as far as a cow’s lowing may be heard, or a bull’s roar) may represent either 1000 or 2000 daNDa (a rod or staff), and 1 danda represents 1 pauruSa (a man’s length) which equals 1 dhanvantara (bow-string) or dhanu (bow). 1 yojana measures either 4,000 or (more likely) 8,000 dhanus. Assuming that 1 paurusha is 6 ft long, then 1 yojana must represent a distance of about 14.6 km (or about 9 miles, as suggested by Monier-Williams).
nimesa means shutting the eye or winking, and as a measure of time it is a wink of the eye or a moment. The Arthashastra (c. 300 BC) defines 1 nimesa as 1/360,000th of a day and night, i.e. 0.24 seconds.Given that 1 yojana is between 14.6 and 16.4 km, 2,202 yojanas must represent between 32,149 and 36,113 km. Half a nimesha is 0.12 seconds. Sayana thus gives the "speed of the Sun" as between 267,910 and 300,940 km/sec, i.e. the same order of magnitude as the speed of light at 299,792 km/sec.
Vartak treats this as an instance of scientific foreknowledge in the Vedas, even though the claim is not in the Vedas but in Sayana's 14th century commentary. Sayana's commentary is still 300 years older than the first known successful measurement of the speed of light. Kak points out that the Vayu Purana (ch. 50) has a comparable passage, where the "speed of the Sun" is exactly 1/18th of Sayana's value. While he is also susceptible to assuming "scientific foreknowledge" by mystical means, he also accepts that "to the rationalist" the proximity of Sayana's value to the physical constant is simply coincidence
Velocity of Light was calculated by Scotland's Maxwell(13 June 1831 - 5 November 1879) in 19th century but its was actually determined accurately in Rig Veda.
It was further elaborated by Sayana in 14th century AD.
Also Sun was described as a god riding on a chariot with seven horses of different colors. These are the 7 colors in VIBGYOR.
Indian Almanacs calculated accurately the motion of planets, sunset, sunrise, eclipses etc without using telescopes.तरणिर्विश्वदर्शतो जयोतिष्क्र्दसि सूर्य |
विश्वमा भासिरोचनम |
taraNir vishvadarshato jyotishkrdasi surya |
vishvamaa bhaasirochanam ||
which means “Swift and all beautiful art thou, O Surya (Surya=Sun), maker of the light, Illuming all the radiant realm.”
Commenting on this verse in his Rigvedic commentary, Sayana who was a minister in the court of Bukka of the great Vijayanagar Empire of Karnataka in South India (in early 14th century) says:
tatha ca smaryate yojananam. sahasre dve dve sate dve ca yojane
ekena nimishardhena kramaman.
which means “It is remembered here that Sun (light) traverses 2,202 yojanas in half a nimisha”
NOTE: Nimisharda= half of a nimisha
In the vedas Yojana is a unit of distance and Nimisha is a unit of time.
Unit of Time: Nimesa
The Moksha dharma parva of Shanti Parva in Mahabharata describes Nimisha as follows:
15 Nimisha = 1 Kastha
30 Kashta = 1 Kala
30.3 Kala = 1 Muhurta
30 Muhurtas = 1 Diva-Ratri (Day-Night)
We know Day-Night is 24 hours
So we get 24 hours = 30 x 30.3 x 30 x 15 nimisha
in other words 409050 nimisha
We know 1 hour = 60 x 60 = 3600 seconds
So 24 hours = 24 x 3600 seconds = 409050 nimisha
409050 nimesa = 86,400 seconds
1 nimesa = 0.2112 seconds (This is a recursive decimal! Wink of an eye=.2112 seconds!)
1/2 nimesa = 0.1056 seconds
Unit of Distance: Yojana
Yojana is defined in Chapter 6 of Book 1 of the ancient vedic text “Vishnu Purana” as follows
10 ParamAnus = 1 Parasúkshma
10 Parasúkshmas = 1 Trasarenu
10 Trasarenus = 1 Mahírajas (particle of dust)
10 Mahírajas= 1 Bálágra (hair’s point)
10 Bálágra = 1 Likhsha
10 Likhsha= 1 Yuka
10 Yukas = 1 Yavodara (heart of barley)
10 Yavodaras = 1 Yava (barley grain of middle size)
10 Yava = 1 Angula (1.89 cm or approx 3/4 inch)
6 fingers = 1 Pada (the breadth of it)
2 Padas = 1 Vitasti (span)
2 Vitasti = 1 Hasta (cubit)
4 Hastas = a Dhanu, a Danda, or pauruSa (a man’s height), or 2 Nárikás = 6 feet
2000 Dhanus = 1 Gavyuti (distance to which a cow’s call or lowing can be heard) = 12000 feet
4 Gavyutis = 1 Yojana = 9.09 miles
Calculation: So now we can calculate what is the value of the speed of light in modern units based on the value given as 2202 yojanas in 1/2 nimesa
= 2202 x 9.09 miles per 0.1056 seconds
= 20016.18 miles per 0.1056 seconds
= 189547 miles per second !!
As per the modern science speed of light is 186000 miles per second !

Friday 19 July 2013

Swami Ramsukhdasji Maharaj

Swami Ramsukhdasji
Swamiji’s  Thoughts
Swamiji -  A Humble Request (Will)
An Easy Spiritual Discipline
Art of Living in this World
Aspirant End and Means
Attainment of God is Not Dependent on a Guru
Attainment of the Ever-Attained
Be Careful
Be Good
Become God’s and Chant His Holy Name
Benefits of Renouncing Desires and Fulfilling Duties
Call for Disseminating Gita and Ramayana
Censure Greed for Money
Cows – Protection of Cows is Man’s Eternal Duty
Discovery of Truth
Duty of Employees and Company Leaders
Essence of Dharma (Spiritual Truths)
Essence of all Spiritual Disciplines
Eternal Union with God
Experience and Faith
Feeling of Oneness with God
Five Golden Principles
Freedom from Worldly Desires (Vairaagya)
Gita on Character Building
Give-up Your Insistence   
Goal of Human Life
God is the Supreme Guru
God can be Assuredly Attained Today
God is Waiting for Us
God’s Extraordinary Grace
Good Fortune through Proper Use
Guru’s Grace
Harm Caused by Hoarding
Harm in Attaching Importance to the Perishable
Highest Spiritual Good While Relating with the World
Honor Your Experience
How Can All be Liberated?
How to be Free from Worldly Influence
How to Gain Happiness
How to Overcome Anger?
How to Serve?
Importance of a Firm Determination
Importance of an Objective
Importance of Serving
Indispensability of Association w/Truth
Is Salvation Not Possible without a Guru?
It is Essential to Get Rid of Interest in Transitory Pleasures
Main Obstacle to Realizing the Supreme Truth is Attraction to Pleasures
Main Obstacle to Spiritual Discipline
Man’s Inborn Guru -  Discrimination (Vivek)
Man’s Real Relationship
Means of Purifying the Inner Senses
Means to get Connected with God
Mineness with God
Mother  (Maa)
Our Own Yearning Lead Us to Welfare
Practical and Priceless Talks for Aspirants
Pre-Eminence of a Disciple in Attaining Salvation
Present State of the Country and the End Result
Protection of Cows is Man’s Eternal Duty
Question and Answers about a Guru
Real Greatness
Respect Your Understanding
Silence as a Spiritual Discipline
Spiritual Progress is Not Dependent on Money
Success in Human Life
The Indispensability of Satsang
The Real Guru
The Glory of a Guru
The Quintessence (Saar Baat)
The Significance of Guru’s Teachings
The Significance of Serving
The Ultimate Frontier of Spiritual Practice
The World is Flowing Away
There is No Delay in Spiritual Enlightenment
Think Over
True Humanity
True Shelter
Understanding the Value of Satsang
Vibhag Yog (The Yoga of Division)
Way to be Free of Attraction to Pleasure
Why must we Believe in God?
 

Thursday 18 July 2013

study in science

AcarologyBranch of  Zoology dealing with ticks & mites.
AcousticsThe study of sound or the science of sound.
AcrobaticsThe art of performing acrobatic feats (gymnastics)
AerodynamicsI.  The branch of mechanics that deals with the motion of air and other gases.
II. The study of the motion and control of solid bodies like aircraft,missiles,etc in air.
AeronauticsThe science or art of flight.
AerostaticsThe branch of statics that deals with gases in equilibrium and with gases and bodies in them.
AestheticsThe philosophy of fine arts.
AetiologyThe science of causation.
Agrobiology The science of plant life and plant nutrition. 
Agronomic The science of managing land or crops. 
Agronomy The science of soil management & production of field crops. 
Agrostology The study of grasses. 
Alchemy Chemistry in ancient times. 
Anatomy The science dealing with the structure of animals, plants or human body. 
Anemology The science of wind. 
Angiology The science of blood & lymph vessels. 
Anthropology The science that deals with the origin and physical and cultural development of mankind. 
Arboriculture Cultivation of trees & vegetables. 
Archaeology The study of antiquities. 
Astrology The ancient art of predicting the course of human destinies with the help of indications deduced from the position and movement of heavenly bodies. 
Astronautics The science of space travel. 
Astronomy The study of the heavenly bodies. 
Astrophysics The branch of astronomy concerned with the physical nature of heavenly bodies. 
Bacteriology The study of bacteria. 
Biochemistry The study of chemical processes of living things. 
Biometry The application of mathematics to the study of living things. 
Bionics The study of functions, characteristics and phenomena observed in the living world and the application of this knowledge to the world of machines. 
Bionomics The study of the relation of an organism to its environment. 
Bionomy The science of the laws of life. 
Biophysics The physics of vital processes (living things). 
Botany The study of plants. 
Calisthenics The systematic exercises for attaining strength & gracefulness. 
Cardiology The science that deals with heart functions and diseases. 
Carpology The science of fruits & seeds. 
Cartography The science of map-making. 
Ceramics The art and technology of making objects from clay etc. (pottery). 
Cetology The science of aquatic mammals, especially whales. 
Chemistry The study of elements and their laws of combination and behaviour. 
Chemotherapy The treatment of disease by using chemical substances. 
Choreography The science of dance & composing ballet. 
Chorography The science of geographical regions ; plant & animal distribution. 
Chronobiology The study of duration of life. 
Chronology The science of arranging time in periods and ascertaining the dates and historical order of past events. 
Conchology The branch of Zoology dealing with the shells of molluscs. 
Cosmogony The science of the nature of heavenly bodies. 
Cosmography The science that describes & maps the main features of universe. 
Cosmology The science of the nature,origin & history of the universe. 
Crainology The science that deals with skull. 
Criminology The study of crime & criminals. 
Cryptography The study of ciphers (secret writings). 
Crystallography The study of structures,forms & properties of crystals. 
Cryogenics The science dealing with the production,control & application of very low temperatures. 
Cryptology The science dealing with codes & ciphers. 
Cytochemistry The branch of cytology dealing with the chemistry of cells. 
Cytogenetics The branch of biology dealing with the study of heredity from the point of view of cytology & genetics. 
Cytology The study of cells,especially their formation,structure & functions. 
Dactylography The study of finger prints for the purpose of identification. 
Dactyliology The technique of communication by signs made with the fingers . It is generally used by the deaf. 
Dendrology The study of trees. 
Denotology The study of moral responsibilities. 
Ecology The study of the relation of animals and plants to their surroundings,animate & inanimate. 
Econometrics The application of mathematics in testing economic theories. 
Economics The science dealing with the production,distribution and consumption of goods & services.
Embryology The study of development of embryos. 
Entomology The study of insects. 
Epidemiology The branch of medicine dealing with incidence & risks of diseases. 
Epigraphy The study of inscriptions. 
Eschatology The study of death, destiny. 
Ethnography A branch of anthropology dealing with the scientific description of individual cultures. 
Ethics Psychological study of moral principles. 
Ethnology A branch of anthropology that deals with the origin, distribution and distinguishing characteristics of the race of mankind.
Ethology The study of animal behaviour. 
Etymology The study of origin and history of words. 
Eugenics The study of the production of better offspring by the careful selection of parents. 
Exobiology A branch of biology that deals with the search for extraterrestrial life,especially intelligent life,outside our solar system. Exobiology is sometimes called xenobiology or astrobiology. 
Futurology The study of the future. 
Genealogy The study of family ancestries & histories. 
Genecology The study of genetical composition of plant population in relation to their habitats. 
Genesiology The science of generation. 
Genetics The branch of biology dealing with the phenomena of heredity and the laws governing it. 
Geobiology The biology of terrestrial life. 
Geobotany The branch of Botany dealing with all aspects of relations between plants & the earth's surface. 
Geochemistry The study of the chemical composition of the earth's crust and the changes which takes place within it. 
Geography The science of the earth's surface,physical features,climate,population,etc. 
Geology The science that deals with the physical history of the earth. 
Geomedicine The branch of medicine dealing with the influence of climate and environmental conditions on health. 
Geomorphology The study of the characteristics,origin and development of land forms. 
Geophysics The physics of the earth. 
Gerontology The study of old age,its phenomena , diseases, etc. 
Glottochronlogy The study of the history of language. 
Heliotherapy The sun cure. 
Haematology The study of blood. 
Helminthology The study of worms, especially parasitic worms. 
Herpetology The study of reptiles & amphibians. 
Histology The study of tissues. 
Horticulture The cultivation of flowers,fruits,vegetables and ornamental plants. 
Hydrodynamics The mathematical study of the forces,energy and pressure of liquid in motion. 
Hydrography The science of water measurements of the earth with special reference to their use for navigation. 
Hydrology The study water with reference to its occurrence and properties in the hydrosphere and atmosphere. 
Hydrometallurgy The process of extracting metals at ordinary temperature by leaching ore with liquids. 
Hydropathy The cure of disease by the internal and external use of water. 
Hydroponics The cultivation of plants by placing the roots in nutrient solution rather than in soil. 
Hydrostatics The mathematical study of forces and pressures in liquids. 
Hygiene The science of health and its preservation. 
Hypnology The study of sleep. 
Ichthyology The study of fish. 
Iconograohy Teaching with aid of pictures & models. 
Iconology The study of symbolic representations. 
Jurisprudence The science of law. 
Lexicography The writing or compiling of dictionaries. 
Limnology The study of freshwater life. 
Lithology The study of the characteristics of rocks. 
Mammography Radiography of the mammary glands. 
Metallography The study of the crystalline structures of metals & alloys. 
Metallurgy The process of extracting metals from their ores. 
Meteorology The science of the atmosphere and its phenomena. 
Metrology The scientific study of weights & measures. 
Microbiology The study of minute living organisms including bacteria,moulds and pathogenic protozoa. 
Molecular Biology The study of the structure of the molecules which are of importance in biology. 
Morphology The science of  organic forms and structures. 
Mycology The study of fungi  & fungus diseases. 
Myology The study of muscles. 
Myrmecology The study of ants. 
Neurology The study of the nervous systems,its functions and its disorders. 
Neuropathology The study of diseases of the nervous system. 
Nomology The study of law making or scientific laws. 
Nosology The study of classification of diseases. 
Numerology The study of numbers,study of the date and year of one's birth to determine their influence on one's future life. 
Numismatics The study of coins & medals. 
Odontography A description of the teeth. 
Odontology The scientific study of the teeth. 
Oenology The study of wines. 
Oncology The study of tumour. 
Oneirology The study of dreams. 
Ontology The study of nature of existence. 
Oology The study of eggs. 
Optics The study of nature & properties of light. 
Ornithology The study of birds. 
Orthoepy The study of correct pronunciation. 
Orthopedics The science of prevention, diagnosis and treatment of diseases and abnormalities of musculoskeletal systems. 
Osteology The study of the bones. 
Osteopathology Any disease of bones. 
Osteopathy A therapeutic system based upon detecting and correcting faulty structure. 
Paleobotany The study of fossil plants. 
Paleontology The study fossils. 
Palynology The study of fossil pollen. 
Pathology The study of diseases. 
Pedagogy The art or method of teaching. 
Pedology The study of soil. 
Penology The study of prisons & treatment of criminals. 
Pharyngology The science of the pharynx & its diseases. 
Phenology The study of periodicity phenomena of plants. 
Philately The collection and study of postage stamps,revenue stamps,etc. 
Philology The study of written records , their authenticity, etc. 
Phonetics The study of speech, sounds and their production , transmission,reception etc. 
Photobiology The branch of biology dealing with the effect of light on organisms. 
Phrenology The study of the faculties & qualities of mind from the shape of the skull. 
Phthisiology The scientific study of tuberculosis. 
Phycology The study of algae. 
Physical science The study of natural laws and process other than those peculiar to living matters,as in Physics ,Chemistry and Astronomy. 
Physics The study of the properties of matter. 
Physiography The science of physical geography. 
Physiology The study of the functioning of the various organs of living beings. 
Phytogeny Origin and growth of plants. 
Pomology The science that deals with fruits & fruit growing. 
Psychology The study of human & animal behaviour. 
Radio Astronomy The study of  heavenly bodies by the reception and analysis of the radio frequency electro-magnetic radiations which they emit or reflect. 
Radiobiology The branch of biology which deals with the effect of radiations on living organisms. 
Radiology The study of X-Rays and radioactivity. 
Reflexology The study of reflexes or practice of healing through foot massage. 
Rheology The study of the deformation, flow of matter. 
Scatology The study of excrement; obscene language. 
Seismology The study of  earthquakes and the phenomena associated with it. 
Selenology The scientific study of moon, its nature,origin,movements, etc. 
Sericulture The raising of silk worms for the production of raw silk. 
Sociology The study of human society. 
Spectroscopy The study of matter and energy by the use of spectroscope. 
Spelology The study of caves. 
Teleology The study of the evidences of design or purpose in nature. 
Telepathy Communication between minds by some means other than sensory perception. 
Therapeutics The science and art of healing. 
Topography A special description of a part or region. 
Toxicology The study of poisons. 
Virology The study of viruses. 
Xylology The study of the structure of wood. 
Zoogeography The study of the distribution of animals on the surface of the globe. 
Zoometry The comparative measurements of the parts of the animals. 
Zoology The study of animal life.

Monday 17 June 2013

Melanoma:Facts vs. mythsMyth

Melanoma, the deadliest form of skin cancer, claims more than 9,000 lives in the United States every year. The rate has been rising over the past 30 years and it’s now one of the most common cancers in people younger than 30 years old, particularly young women.
Although genetics can increase your risk of melanoma, the best way to prevent skin cancer is to reduce sun exposure by wearing protective clothing, applying sunscreen and simply staying out of the sun.
The Melanoma Research Alliance has teamed up with experts from the charitable initiative Stand Up to Cancer to clear up common myths about melanoma.
Myth: If your skin tans but doesn’t burn, you cannot get skin cancer.
Fact: Sun exposure of all levels can contribute to cancer development. Even people who don’t usually burn can get melanoma.
Myth: Tanning booths are safe because they are not “real sun.”
Fact:Tanning beds are not safer than natural sun exposure. Most tanning beds utilize UVA rays, which penetrate to the deeper layers of the skin and may increase the risk of melanoma. They also use UVB rays, the cause of most sunburns. The World Health Organization classifies tanning beds as “carcinogenic to humans.” Women who use tanning beds more than once a month are 55 percent more likely to develop melanoma, the U.S. National Cancer Institute reports.
Myth: One application of sunscreen daily is sufficient to protect against sun damage.
Fact:Sunscreen must be applied frequently throughout the day during sun exposure, particularly if it could be washed off by sweat or water.
Myth: “Adequate” use of sunscreen will prevent melanoma.
Fact: Although sunscreen can help prevent skin cancers, it only provides minimal protection. It’s also important to limit sun exposure and cover up with protective clothing and gear.
Myth: If a spot that has been on your body for years changes but hasn’t gotten much bigger, it can’t become melanoma.
Fact:Many melanomas occur in pre-existing spots or moles. A doctor should evaluate all moles, lesions or spots that have changed. People with multiple moles should undergo routine full-body exams by a dermatologist.
Myth: Melanoma can only develop on body parts where the “sun can shine.”
Fact: Some types of melanoma are not related to sun exposure and can occur in unexpected places, such as the vagina, the rectum, inside the mouth, the soles of the feet and the palms of the hands.

Thursday 13 June 2013

Before Marie Curie, these women dedicated their lives to science and made significant advances

When it comes to the topic of women in science, Marie Curie usually dominates the conversation. After all, she discovered two elements, was the first women to win a Nobel Prize, in 1903, and was the first person to win a second Nobel, in 1911. But Curie was not the first female scientist. Many other brilliant, dedicated and determined women have pursued science over the years.
Emilie du Chatelet (1706 – 1749)
Gabrielle-Emilie Le Tonnelier de Breteuil, the daughter of the French court’s chief of protocol, married the marquis du Chatelet in 1725. She lived the life of a courtier and bore three children. But at age 27, she began studying mathematics seriously and then branched into physics. This interest intensified as she began an affair with the philosopher Voltaire, who also had a love of science. Their scientific collaborations—they outfitted a laboratory at du Chatelet’s home, Chateau de Cirey, and, in a bit of a competition, each entered an essay into a contest on the nature of fire (neither won)—outlasted their romance. Du Chatelet’s most lasting contribution to science was her French translation of Isaac Newton’s Principia, which is still in use today. At age 43, she fell in love with a young military officer and became pregnant; she died following complications during the birth of their child.
Caroline Herschel (1750 – 1848)
Herschel was little more than the household drudge for her parents in Hanover, Germany (she would later describe herself as the “Cinderella of the family”), when her older brother, William, brought her to England in 1772 to run his household in Bath. After she mastered the art of singing—to accompany William, who was the organist for the Octagon Chapel—her brother switched careers and went into astronomy. Caroline followed. In addition to assisting her brother in his observations and in the building of telescopes, Caroline became a brilliant astronomer in her own right, discovering new nebulae and star clusters. She was the first woman to discover a comet (she discovered eight in total) and the first to have her work published by the Royal Society. She was also the first British woman to get paid for her scientific work, when William, who had been named the king’s personal astronomer after his discovery of Uranus in 1781, persuaded his patron to reward his assistant with an annual salary. After William’s death in 1822, Caroline retired to Hanover. There she continued her astronomical work, compiling a catalogue of nebulae—the Herschels’ work had increased the number of known star clusters from 100 to 2,500. She died in 1848 at age 97 after receiving many honors in her field, including a gold medal from the Royal Astronomical Society.
Mary Anning (1799 – 1847)
In 1811, Mary Anning’s brother spotted what he thought was a crocodile skeleton in a seaside cliff near the family’s Lyme Regis, England, home. He charged his 11-year-old sister with its recovery, and she eventually dug out a skull and 60 vertebrae, selling them to a private collector for £23. This find was no croc, though, and was eventually named Ichthyosaurus, the “fish-lizard.” Thus began Anning’s long career as a fossil hunter. In addition to ichthyosaurs, she found long-necked plesiosaurs, a pterodactyl and hundreds, possibly thousands, of other fossils that helped scientists to draw a picture of the marine world 200 million to 140 million years ago during the Jurassic. She had little formal education and so taught herself anatomy, geology, paleontology and scientific illustration. Scientists of the time traveled from as far away as New York City to Lyme Regis to consult and hunt for fossils with Anning.
Mary Somerville (1780 – 1872)
Intrigued by the x’s and y’s in the answer to a math question in a ladies’ fashion magazine, 14-year-old Mary Fairfax of Scotland delved into the study of algebra and mathematics, defying her father’s injunction against such pursuits. Her studies were sidetracked by a marriage, in 1804, to a Russian Navy captain, but after his death she returned to Edinburgh and became involved in intellectual circles, associating with people such as the writer Sir Walter Scott and the scientist John Playfair, and resumed her studies in math and science. Her next husband, William Somerville, whom she wed in 1812, supported these efforts, and after they moved to London, Mary became host to her own intellectual circle, which included the astronomer John Herschel and the inventor Charles Babbage. She began experimenting on magnetism and produced a series of writings on astronomy, chemistry, physics and mathematics. She translated astronomer Pierre-Simon Laplace’s The Mechanism of the Heavens into English, and although she was unsatisfied with the result, it was used as a textbook for much of the next century. Somerville was one of the first two women, along with Caroline Herschel, to be named honorary members of the Royal Astronomical Society.
Maria Mitchell (1818 – 1889)
Young Maria Mitchell learned to observe the stars from her father, who used stellar observations to check the accuracy of chronometers for Nantucket, Massachusetts, whalers and taught his children to use a sextant and reflecting telescope. When Mitchell was 12, she helped her father record the time of an eclipse. And at 17, she had already begun her own school for girls, teaching them science and math. But Mitchell rocketed to the forefront of American astronomy in 1847 when she spotted a blurry streak—a comet—through her telescope. She was honored around the world, earning a medal from the king of Denmark, and became the first woman to be elected to the American Academy of Arts and Sciences. In 1857 Mitchell traveled to Europe, where she visited observatories and met with intellectuals, including Mary Somerville. Mitchell would write: “I could not help but admire [her] as a woman. The ascent of the steep and rugged path of science has not unfitted her for the drawing room circle; the hours of devotion to close study have not been incompatible with the duties of wife and mother.” Mitchell became the first female astronomy professor in the United States, when she was hired by Vassar College in 1865. There she continued her observations, particularly those of the Sun, traveling up to 2,000 miles to witness an eclipse.

Tuesday 11 June 2013

When i'll die, only 2 querries appear before me:

When i'll die, only 2 querries appear before me: 

1) how much love have i shared, & 
2) how much knowledge have i gained ?

Though for me, love is nothing but endocrine hormonal/psyschological disturbances only, we should discuss upon later(2).
Because according to Sir Francis Backon-Knowledge is power
But data isn't information, information isn't knowledge, knowledge isn't understanding and understanding isn't wisdom.
Knowledge & wisdom are related to Education.
Education is the best way to train ourselves that we will secure our own well-being by concerning ourselves with others. It is possible to create a better world, a more compassionate, more peaceful world, which is not only in everyone’s interest, but is everyone’s responsibility to achieve.
Education is the manifestation of the perfection already in man-swami vivekananda.
Live as if u were to die tomorrow.Learn as if u were to live forever-Gandhi Na hi jnanen sadrusham pabitram iha
bidyate- The Gita.Scientia Potentia est (Latin) You r d sole author of ur own
destiny. Even if God is not the co-author.

"Mata sama nasti shareer poshanam,
Chinta sama nasti shareer shosanam.
Bharya sama nasti shareer toshanam
Bidya sama nasti shareer bhushanam."

knowledge only fattens us with gathering invaluable information while Wisdom is a deep understanding and realization of people, things, events or situations, resulting in the ability to apply perceptions, judgments and actions.

In mathematical language, knowledge is neither tangent nor secant to wisdom.
Only Asymptotes to Wisdom.Aasymptote of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity.

I regret for the day, on which i could not peruse any Biblio(book). I will strive to read.........

Wednesday 5 June 2013

Top 10 Greatest Mathematicians

Often called the language of the universe, mathematics is fundamental to our understanding of the world and, as such, is vitally important in a modern society such as ours. Everywhere you look it is likely mathematics has made an impact, from the faucet in your kitchen to the satellite that beams your television programs to your home. As such, great mathematicians are undoubtedly going to rise above the rest and have their name embedded within history. This list documents some such people. I have rated them based on contributions and how they effected mathematics at the time, as well as their lasting effect. I also suggest one looks deeper into the lives of these men, as they are truly fascinating people and their discoveries are astonishing – too much to include here. As always, such lists are highly subjective, and as such please include your own additions in the comments!

10
Pythagoras of Samos

Greek Mathematician Pythagoras is considered by some to be one of the first great mathematicians. Living around 570 to 495 BC, in modern day Greece, he is known to have founded the Pythagorean cult, who were noted by Aristotle to be one of the first groups to actively study and advance mathematics. He is also commonly credited with the Pythagorean Theorem within trigonometry. However, some sources doubt that is was him who constructed the proof (Some attribute it to his students, or Baudhayana, who lived some 300 years earlier in India). Nonetheless, the effect of such, as with large portions of fundamental mathematics, is commonly felt today, with the theorem playing a large part in modern measurements and technological equipment, as well as being the base of a large portion of other areas and theorems in mathematics. But, unlike most ancient theories, it played a bearing on the development of geometry, as well as opening the door to the study of mathematics as a worthwhile endeavor. Thus, he could be called the founding father of modern mathematics.

9
Andrew Wiles

The only currently living mathematician on this list, Andrew Wiles is most well known for his proof of Fermat’s Last Theorem: That no positive integers, a, b and c can satisfy the equation a^n+b^n=c^n For n greater then 2. (If n=2 it is the Pythagoras Formula). Although the contributions to math are not, perhaps, as grand as other on this list, he did ‘invent’ large portions of new mathematics for his proof of the theorem. Besides, his dedication is often admired by most, as he quite literally shut himself away for 7 years to formulate a solution. When it was found that the solution contained an error, he returned to solitude for a further year before the solution was accepted. To put in perspective how ground breaking and new the math was, it had been said that you could count the number of mathematicians in the world on one hand who, at the time, could understand and validate his proof. Nonetheless, the effects of such are likely to only increase as time passes (and more and more people can understand it).

8
Isaac Newton and Wilhelm Leibniz

I have placed these two together as they are both often given the honor of being the ‘inventor’ of modern infinitesimal calculus, and as such have both made monolithic contributions to the field. To start, Leibniz is often given the credit for introducing modern standard notation, notably the integral sign. He made large contributions to the field of Topology. Whereas all round genius Isaac Newton has, because of the grand scientific epic Principia, generally become the primary man hailed by most to be the actual inventor of calculus. Nonetheless, what can be said is that both men made considerable vast contributions in their own manner.

7
Leonardo Pisano Blgollo

Blgollo, also known as Leonardo Fibonacci, is perhaps one of the middle ages greatest mathematicians. Living from 1170 to 1250, he is best known for introducing the infamous Fibonacci Series to the western world. Although known to Indian mathematicians since approximately 200 BC, it was, nonetheless, a truly insightful sequence, appearing in biological systems frequently. In addition, from this Fibonacci also contributed greatly to the introduction of the Arabic numbering system. Something he is often forgotten for.
Haven spent a large portion of his childhood within North Africa he learned the Arabic numbering system, and upon realizing it was far simpler and more efficient then the bulky Roman numerals, decided to travel the Arab world learning from the leading mathematicians of the day. Upon returning to Italy in 1202, he published his Liber Abaci, whereupon the Arabic numbers were introduced and applied to many world situations to further advocate their use. As a result of his work the system was gradually adopted and today he is considered a major player in the development of modern mathematics.

6
Alan Turing

Computer Scientist and Cryptanalyst Alan Turing is regarded my many, if not most, to be one of the greatest minds of the 20th Century. Having worked in the Government Code and Cypher School in Britain during the second world war, he made significant discoveries and created ground breaking methods of code breaking that would eventually aid in cracking the German Enigma Encryptions. Undoubtedly affecting the outcome of the war, or at least the time-scale.
After the end of the war he invested his time in computing. Having come up with idea of a computing style machine before the war, he is considered one of the first true computer scientists. Furthermore, he wrote a range of brilliant papers on the subject of computing that are still relevant today, notably on Artificial Intelligence, on which he developed the Turing test which is still used to evaluate a computers ‘intelligence’. Remarkably, he began in 1948 working with D. G. Champernowne, an undergraduate acquaintance on a computer chess program for a machine not yet in existence. He would play the ‘part’ of the machine in testing such programs.

5
René Descartes

French Philosopher, Physicist and Mathematician Rene Descartes is best known for his ‘Cogito Ergo Sum’ philosophy. Despite this, the Frenchman, who lived 1596 to 1650, made ground breaking contributions to mathematics. Alongside Newton and Leibniz, Descartes helped provide the foundations of modern calculus (which Newton and Leibniz later built upon), which in itself had great bearing on the modern day field. Alongside this, and perhaps more familiar to the reader, is his development of Cartesian Geometry, known to most as the standard graph (Square grid lines, x and y axis, etc.) and its use of algebra to describe the various locations on such. Before this most geometers used plain paper (or another material or surface) to preform their art. Previously, such distances had to be measured literally, or scaled. With the introduction of Cartesian Geometry this changed dramatically, points could now be expressed as points on a graph, and as such, graphs could be drawn to any scale, also these points did not necessarily have to be numbers. The final contribution to the field was his introduction of superscripts within algebra to express powers. And thus, like many others in this list, contributed to the development of modern mathematical notation.

4
Euclid

Living around 300BC, he is considered the Father of Geometry and his magnum opus: Elements, is one the greatest mathematical works in history, with its being in use in education up until the 20th century. Unfortunately, very little is known about his life, and what exists was written long after his presumed death. Nonetheless, Euclid is credited with the instruction of the rigorous, logical proof for theorems and conjectures. Such a framework is still used to this day, and thus, arguably, he has had the greatest influence of all mathematicians on this list. Alongside his Elements were five other surviving works, thought to have been written by him, all generally on the topic of Geometry or Number theory. There are also another five works that have, sadly, been lost throughout history.

3
G. F. Bernhard Riemann

Bernhard Riemann, born to a poor family in 1826, would rise to become one of the worlds prominent mathematicians in the 19th Century. The list of contributions to geometry are large, and he has a wide range of theorems bearing his name. To name just a few: Riemannian Geometry, Riemannian Surfaces and the Riemann Integral. However, he is perhaps most famous (or infamous) for his legendarily difficult Riemann Hypothesis; an extremely complex problem on the matter of the distributions of prime numbers. Largely ignored for the first 50 years following its appearance, due to few other mathematicians actually understanding his work at the time, it has quickly risen to become one of the greatest open questions in modern science, baffling and confounding even the greatest mathematicians. Although progress has been made, its has been incredibly slow. However, a prize of $1 million has been offered from the Clay Maths Institute for a proof, and one would almost undoubtedly receive a Fields medal if under 40 (The Nobel prize of mathematics). The fallout from such a proof is hypothesized to be large: Major encryption systems are thought to be breakable with such a proof, and all that rely on them would collapse. As well as this, a proof of the hypothesis is expected to use ‘new mathematics’. It would seem that, even in death, Riemann’s work may still pave the way for new contributions to the field, just as he did in life.

2
Carl Friedrich Gauss
Child prodigy Gauss, the ‘Prince of Mathematics’, made his first major discovery whilst still a teenager, and wrote the incredible Disquisitiones Arithmeticae, his magnum opus, by the time he was 21. Many know Gauss for his outstanding mental ability – quoted to have added the numbers 1 to 100 within seconds whilst attending primary school (with the aid of a clever trick). The local Duke, recognizing his talent, sent him to Collegium Carolinum before he left for Gottingen (at the time it was the most prestigious mathematical university in the world, with many of the best attending). After graduating in 1798 (at the age of 22), he began to make several important contributions in major areas of mathematics, most notably number theory (especially on Prime numbers). He went on to prove the fundamental theorem of algebra, and introduced the Gaussian gravitational constant in physics, as well as much more – all this before he was 24! Needless to say, he continued his work up until his death at the age of 77, and had made major advances in the field which have echoed down through time.

1
Leonhard Euler
If Gauss is the Prince, Euler is the King. Living from 1707 to 1783, he is regarded as the greatest mathematician to have ever walked this planet. It is said that all mathematical formulas are named after the next person after Euler to discover them. In his day he was ground breaking and on par with Einstein in genius. His primary (if that’s possible) contribution to the field is with the introduction of mathematical notation including the concept of a function (and how it is written as f(x)), shorthand trigonometric functions, the ‘e’ for the base of the natural logarithm (The Euler Constant), the Greek letter Sigma for summation and the letter ‘/i’ for imaginary units, as well as the symbol pi for the ratio of a circles circumference to its diameter. All of which play a huge bearing on modern mathematics, from the every day to the incredibly complex.
As well as this, he also solved the Seven Bridges of Koenigsberg problem in graph theory, found the Euler Characteristic for connecting the number of vertices, edges and faces of an object, and (dis)proved many well known theories, too many to list. Furthermore, he continued to develop calculus, topology, number theory, analysis and graph theory as well as much, much more – and ultimately he paved the way for modern mathematics and all its revelations. It is probably no coincidence that industry and technological developments rapidly increased around this time.