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Dr Perelman's work, therefore, is reason to sigh with relief.To understand the Poincaré conjecture, start by thinking of any object existing in a three-dimensional world.
It is possible to define σ in a way that does not require knowledge of g | T ( ∂ M ) by thinking of any boundary vector ξ as characterized by its angle with ∂ M and the direction of its tangential projection.
By thinking of any material thing (like a rock, or a person) as being fundamentally the same thing throughout time, with any changes to it being secondary to its "nature", scientific materialism hides the fact that nothing ever stays the same.
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The process is easy to visualize by thinking of an island population with 10 surnames.
Begin by thinking of a small spread.
The point can be made by thinking of a ballpoint pen.
Start by thinking of a highway map of the United States before the advent of the Interstate System.
We can understand the survivor influence by thinking of a series of concentric circles.
To own the market, a company starts by thinking of a new way to define a market.
The difference between the two can be seen by thinking of a child swinging back and forth in the dark.
It's easy to remember by thinking of a music concert.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com