Sentence examples for numerical graph from inspiring English sources

A recent trend in mathematical and computational chemistry is the characterization of molecular structure using topological approaches including numerical graph invariants.

To characterize vein network topology, we derived (see Methods and Additional file 3: Figure S2 for details) and used three descriptors based on numerical graph invariants: a cardinality index, a continuity index, and a connectivity index.

We use Matlab (2012a) to simulate and plot numerical graphs.

It can display annotations and position-specific numerical graphs, e.g. calculated from coverage data.

Based on numerical analysis, graphs on effective stiffness values for perforated sheeting with different arrays of holes are provided.

4, we present some numerical results (Graphs and Tables) to show the nature of the solution as the fractional derivative parameter is changed.

Further, the numerical simulation graphs for the sequences { x n } and { y n } generated by Algorithm 3.1 are shown with 46 iterations in Figure 2 when the controlling sequence { y n } has been optimized partly.

Moreover, x ∗ is also a fixed point of I − f + R ρ, M A ∘ g and the numerical simulation graphs for the sequences { x n } and { y n } generated by Algorithm 3.1 are given with 76 iterations in Figure 1.

Meanwhile some of the more recent sources listed (Lemesurier, Gruber, Wilson) have been particularly scathing about later attempts by some lesser-known authors and Internet enthusiasts to extract alleged hidden meanings from the texts, whether with the aid of anagrams, numerical codes, graphs or otherwise.

Open image in new window Fig. 2 Diagrams of exact and numerical solutions and graph of error for Example 1.

Then the following numerical results and graph (see Figure 2) demonstrate Theorem 3.2: Besides, we know the following.