Poincaré's theorem showed that any appropriately bounded system in which energy was conserved would of necessity, over an infinite time, return an infinite number of times to states arbitrarily close to the initial dynamical state in which the system was started.
Not a sequel so much as an unambitious, almost storyless reprise of the much-loved original's favourite characters and songs - with umpteen choruses of Bare Necessities - over a meagre 72 minutes.
To parents with a freshman entering college this fall: You're probably expecting to shell out major bucks for tuition, room and board and a million other necessities over the next few years.
All this infighting — and confusion over necessities like a subway line and bus terminals and walls to keep out the Hudson River — has obscured the original promise to make use of this vital and iconic space beyond simply replacing 10 million square feet of commercial space.
I'm one of the lucky ones because I have a solid support system as well as basic necessities like a house over my head and health insurance.
He had guard rails, those checkpoints to keep players on the straight and narrow, a necessity over the last month as behavior issues became a problem.
But for many, the relationship proves to be very hard, because academe can be a very difficult partner: demanding years of loyalty, devotion, and one-sided exclusivity but refusing to fork over such necessities of an equitable relationship as long-term commitment, honesty, and a decent share of household expenses.
Margaret, by necessity, took over more of her husband's duties.
Civil war and the necessities of getting a roof over his head and enough to eat kept him in Moscow.
The Department of Agriculture recently released its report on what it will cost to raise a child born in 2011: middle-income parents of a child born last year can expect to spend about $234,900 $295,5600 if projected inflation costs are factored in*) for food, shelter and other necessities to raise a child over the next 17 years.
The changing economic climate has made global manufacturing a growing necessity over the last decade, forcing companies from East and West to collaborate beyond geographic boundaries in the design, manufacture and assembly of products.
