Sentence examples for deformed into one from inspiring English sources

Poincaré singled out the idea of considering closed curves in the manifold that cannot be deformed into one another.

Two objects that can be deformed into one another will have the same homology and cohomology groups.

A common joke is that a topologist cannot distinguish a donut from a coffee mug, since they can be continuously deformed into one another.

The reason is that a continuous mapping from an i-sphere to an n-sphere with i n with a point removed; this is a contractible space, and any mapping to such a space can be deformed into a one-point mapping.

It was also observed that the thin frusta deformed in diamond shape while the thick ones deformed into axisymmetric rings.

Two knots are equivalent iff one can be smoothly deformed into the other by stretching, shrinking, twisting, flipping, repositioning or in any other way that does not involve cutting, gluing or passing one strand through another.

An orthorhombic deformation lets only one of these two pairs survive, transforming tP either into oP or oC, and tI either into oI or oF, depending on whether the square is deformed into a rectangle or a rhombus.

Metals are important largely because they can be easily deformed into useful shapes.

The body contents are liquids or tissues that can be deformed into different shapes, but they maintain a constant volume.

Thus we prove that (J_{gamma}) is deformed into Ω in the loop space ΛD.

Applying subtle mechanical forces to these systems, they may be also deformed into non-spherical shapes.