Legendre equation

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a differential equation of the form (1−x2)d2y/dx2 − 2xdy/dx + a(a + 1)y = 0, where a is an arbitrary constant.

QUIZZES

In effect, this quiz will prove whether or not you have the skills to know the difference between “affect” and “effect.”

Question 1 of 7

The rainy weather could not ________ my elated spirits on my graduation day.

First recorded in 1880–85; after A. M. Legendre

Perhaps, like Hawking searching for his elegant equation, filmmakers will never find the answer.
Why Can’t Movies Capture Genius?|Clive Irving|December 14, 2014|DAILY BEAST
But vibrant industry requires solid infrastructure, which is where the Chinese government enters the equation.
'Made in China' Now Being Made in Africa|Brendon Hong|August 23, 2014|DAILY BEAST
Until that equation tips, individual Republicans may break ranks on gay rights, but the party remains a countercultural bastion.
Red America’s Anti-Gay Backlash|Jonathan Rauch|June 15, 2014|DAILY BEAST
“We want to take out those biases, those prejudices, out of the equation, to remove those barriers,” says Halfteck.
How the Hiring Process Marginalizes Candidates on the Autism Spectrum|Joshua Rivera|May 23, 2014|DAILY BEAST

Sadly, the “small room” part of that equation seems to have been a one-time thing.
Beck’s Musical Time Machine: This Wasn’t a Concert. It was a Spectacular Party.|Andrew Romano|April 18, 2014|DAILY BEAST
Now the trouble with the main proposition just quoted is that each side of the equation is used as the measure of the other.
The Unsolved Riddle of Social Justice|Stephen Leacock
In other words, it is a truism, mere equation in terms, telling nothing whatever.
The Unsolved Riddle of Social Justice|Stephen Leacock
The fundamental equation of the economist, then, is that the value of everything is proportionate to its cost.
The Unsolved Riddle of Social Justice|Stephen Leacock
We are ourselves a term in the equation, a note of the chord, and make discord or harmony almost at will.
The Pocket R.L.S.|Robert Louis Stevenson
Inserting these values in our general equation and calculating the result, we obtain 18.1E6 as the value of the constant.
The Elements of Qualitative Chemical Analysis, vol. 1, parts 1 and 2.|Julius Stieglitz