Sentence examples for continuous transformation of from inspiring English sources

Brouwer's fixed-point theorem states that any continuous transformation of a closed disk (including the boundary) into itself leaves at least one point fixed.

A continuous transformation of β crystals to α crystals with inelastic deformation at room temperature was observed and it was facilitated at higher deformation temperatures.

They turn out as quantitative reflections of the well-instrumented interplay of osteoblasts, osteoclasts, osteocytes, and their precursors, controlling, in a fine-tuned fashion, the chemical genesis and continuous transformation of the extracellular bone matrix.

The high number of services, the continuous transformation of buildings, and the various building standards imply a search through a vast number of possible contextual situations every time occupants perform activities.

In this work, the matching problem between two free-form parametric surfaces, S0 u, v) and S1 u, v), has been considered in the context of a first stage of the metamorphosis process, which is defined as gradual and continuous transformation of one key shape into another.

The subject dealt with the three key origins: the universe and the solar system, of life, and of man, connected by the concept of the continuous transformation of all natural systems.

More general than Brouwer is Lefschetz' fixed-point theorem ∑ x ∈ F i T ( x ) = L ( T ) [9] from 1926, which assures that if the Lefschetz number L ( T ) of a continuous transformation on a manifold is nonzero, then T has a fixed point.

The theorem is also true for continuous transformations of the points on a closed interval, in a closed ball, or in abstract higher dimensional sets analogous to the ball.

Moreover, X is strongly regular affine under Open image in new window since the weakly admissible parameters (α⋆(t),b⋆(t),β⋆(t),m⋆(t),μ⋆(t)) implied by (30) are continuous transformations of (α,b,β,m,μ).

These points were then used to scale the 3D data sets to the dimensions of the standard brain of the Talairach and Tournoux atlas using a piecewise affine and continuous transformation for each of the 12 defined subvolumes.

Analysts and Salesforce executives discussed the Summit's theme of Continuous Transformation for 2020.