331
Applied Maths / Re: Mathematics: Everywhere & Everyday
« on: March 31, 2014, 02:57:05 PM »
It's really nice.
News:
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332
Basic Maths / Re: Shortcut Methods for Partial Fractions
« on: March 31, 2014, 02:33:20 PM »
Awesome!!!
334
Teaching & Research Forum / Re: GRE word List
« on: March 31, 2014, 02:15:11 PM »
Very effective
335
Teaching & Research Forum / Re: Study Photonics in Europe
« on: March 31, 2014, 02:13:28 PM »
It's very helpful
336
Interesting Maths / Re: A Necklace with 100 Beads
« on: March 31, 2014, 11:46:26 AM »
Interesting!!!
337
Interesting Maths / Re: Amazing Prime Numbers
« on: March 31, 2014, 11:44:47 AM »
It's really amazing!
338
Interesting Maths / Re: The Fibonacci Numbers in Flower
« on: March 31, 2014, 11:43:31 AM »
nice
339
History of Mathematics / Bertrand Arthur William Russell
« on: March 30, 2014, 11:39:09 PM »
Bertrand Arthur William Russell (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, historian, and social critic. At various points in his life he considered himself a liberal, a socialist, and a pacifist, but he also admitted that he had never been any of these in any profound sense. He was born in Monmouthshire, into one of the most prominent aristocratic families in Britain.
Russell led the British "revolt against idealism" in the early 20th century. He is considered one of the founders of analytic philosophy along with his predecessor Gottlob Frege, colleague G. E. Moore, and his protégé Ludwig Wittgenstein. He is widely held to be one of the 20th century's premier logicians. With A. N. Whitehead he wrote Principia Mathematica, an attempt to create a logical basis for mathematics. His philosophical essay "On Denoting" has been considered a "paradigm of philosophy". His work has had a considerable influence on logic, mathematics, set theory, linguistics, artificial intelligence, cognitive science, computer science, and philosophy, especially philosophy of language, epistemology, and metaphysics.
Russell was a prominent anti-war activist; he championed anti-imperialism and went to prison for his pacifism during World War I. Later, he campaigned against Adolf Hitler, then criticised Stalinist totalitarianism, attacked the involvement of the United States in the Vietnam War, and was an outspoken proponent of nuclear disarmament. In 1950 Russell was awarded the Nobel Prize in Literature "in recognition of his varied and significant writings in which he champions humanitarian ideals and freedom of thought."
Russell led the British "revolt against idealism" in the early 20th century. He is considered one of the founders of analytic philosophy along with his predecessor Gottlob Frege, colleague G. E. Moore, and his protégé Ludwig Wittgenstein. He is widely held to be one of the 20th century's premier logicians. With A. N. Whitehead he wrote Principia Mathematica, an attempt to create a logical basis for mathematics. His philosophical essay "On Denoting" has been considered a "paradigm of philosophy". His work has had a considerable influence on logic, mathematics, set theory, linguistics, artificial intelligence, cognitive science, computer science, and philosophy, especially philosophy of language, epistemology, and metaphysics.
Russell was a prominent anti-war activist; he championed anti-imperialism and went to prison for his pacifism during World War I. Later, he campaigned against Adolf Hitler, then criticised Stalinist totalitarianism, attacked the involvement of the United States in the Vietnam War, and was an outspoken proponent of nuclear disarmament. In 1950 Russell was awarded the Nobel Prize in Literature "in recognition of his varied and significant writings in which he champions humanitarian ideals and freedom of thought."
340
Interesting Maths / 2=1!!!
« on: March 30, 2014, 11:18:30 PM »
Let a = b
Multiply both sides by a: a2 = ab
Add a2 - 2ab: a2 + a2 - 2ab = ab + a2 - 2ab
Simplify: 2(a2 - ab) = a2 - ab
Divide by a2 - ab: 2 = 1
Oops!
What went wrong? It's the line which tells you to divide by a2 - ab. Since a = b, you have divided by zero, and this leads to the final incorrect statement.
Multiply both sides by a: a2 = ab
Add a2 - 2ab: a2 + a2 - 2ab = ab + a2 - 2ab
Simplify: 2(a2 - ab) = a2 - ab
Divide by a2 - ab: 2 = 1
Oops!
What went wrong? It's the line which tells you to divide by a2 - ab. Since a = b, you have divided by zero, and this leads to the final incorrect statement.