Sentence examples for in four dimensional from inspiring English sources

Poincaré, almost a hundred years ago, knew that a two dimensional sphere is essentially characterized by this property of simple connectivity, and asked the corresponding question for the three dimensional sphere (the set of points in four dimensional space at unit distance from the origin).

1904 Obtains doctorandus title (MSc degree) in mathematics; first publication (on rotations in four dimensional space); marries Lize de Holl (born 1870).

Many objective optimization results form a set of solutions in four dimensional hyper objective space and for visualization it is represented on a two dimension objective space.

Simulated digital XCAT phantom data and three sets of patient data were adopted for the experiments to validate the performance of the sin-quadratic model and its application in four dimensional (4D) CTS reconstruction.

As preliminary tests of the code, we study in four dimensional phase-space the evolution of an initially small patch in a chaotic potential and the cosmological collapse of a fluctuation composed of two sinusoidal waves.

After three years of renovation -- think mixing a record in four dimensional space-time -- Stonover Farm opened in 2002, with Linda Ronstadt as its first guest.

In three dimensional space, the distance between the points (a, b, c) and (d, e, f) is √((a − d 2 + (b − e 2 + (c − f 2).

First the total wind speed data set is arranged in two dimensional matrices.

Figure 1 Illustration of an atomic chain deformed in two dimensional spaces.

The output was stored in three dimensional arrays for further processing.  .

The results obtained are plotted across temporal and spatial values of nodes in three dimensional scales.