There is no continuous transformation that will map a solution in one homotopy class to another.
This, in turn, violates Einstein's dictum for a group "no less general than that of the continuous transformations of the four coordinates."
However, often the definition of the Gâteaux differential also requires that it be a continuous linear transformation.
As a symbol of regeneration, a slow progressive growing oak tree represents a continuous transformation of life, society and the entire ecological system.
For example, the differential entropy can be negative; also it is not invariant under continuous coordinate transformations.
Thus was the line be drawn under 15-year period of continuous transformations of the largest art institutions in the Soviet Union.
She had spent some time wondering if she was partially to blame for his continuous transformations.
The corresponding continuous transformations of the celestial sphere (except for the identity) all share the same two fixed points, the North and South pole.
This neighborhood has been in more or less continuous transformation for more than a century.
The continuous transformation of pasture land into fields led to an intensified struggle between the Bedouins and the peasant population.