Sentence examples for one dimension i from inspiring English sources

In one dimension, i,j correspond to the values of x-axis.

In the condition of one dimension, I u = O u · OTF u (4) OTF u = ∫ LSF x e − 2 πi ux dx = MTF u · e − i PTF u (5).

This tree-shaped visualization is expected to enhance the representation of information in a regulatory requirement from one dimension (i.e., horizontal) to two dimensions (i.e., horizontal and vertical), and therefore provide more visual cues to the reader.

We formulate a simpler version of this problem in one dimension (i.e., all the masses and springs are arranged along a line), where the objective is to choose a set of springs to connect the masses so that the resulting "graph" structure is as stiff as possible.

Circular plots are also within certain sizes easier to establish in the field because they have one dimension (i.e. radius) that defines the plot boundary.

Amarasuriya et al. [ 25] found that the Personal Stigma Scale consisted of two dimensions of stigma (i.e., the "Weak-not-Sick" and "Dangerous- Undesirable" dimensions), and that the Social Distance Scale consisted of one dimension (i.e., the "Social Distance" dimension).

Theoretically, the spatial domain of spatio-temporal nonseparable covariance models can be extended to more than one dimensions i.e., d > 1 in (10).

We have shown that on most response plans only one dimension dominates, i.e., no clear optimal choice is present.

Now we move on to the case of one dimension higher, i.e., a set of discrete samples of a 3D scalar field f : R 3 → R.

So, in this paper we will study the following nonlinear fourth-order Schrödinger equation with mass-critical nonlinearity and two-order derivative in one dimension: { i u t + a Δ 2 u + b u 2 u ¯ x x + c | u | 8 u = 0, x ∈ R, t ∈ R, u ( x, 0 ) = u 0 ( x ), x ∈ R, (1.4).

Another interesting finding is that all four regions gave the highest priority to one CSR dimension, i.e. community involvement and development.