Sentence examples for generating circle from inspiring English sources
About 1634 the French mathematician Gilles Personne de Roberval first took up the challenge, by proving a conjecture of Galileo that the area enclosed by one arch of the cycloid is three times the area of the generating circle.
In particular, Wren found that the length (as measured along the curve) of one arch of the cycloid is eight times the radius of the generating circle, demolishing a speculation of Descartes that the lengths of curves could never be known.
Newton recognized this concern and addressed it in Propositions 48 through 52 by extending Huygens's theory of the cycloidal pendulum to cover the hypocycloidal pendulum — that is, a cycloidal path produced when the generating circle rolls along the inside of a sphere instead of along a flat surface.
This surface can be parameterized by parameter u, determining the axis line T of the bore hole X_{T} = X_{T} (u),quad Y_{T} = Y_{T} (u),quad Z_{T} = Z_{T} (u) (3)and parameter v, prescribing position of a point in the generating circle (Fig. 2).
The asperity distributions are made by generating circles with a diameter of 30 km in the source region that allow overlaps.
Figure 1a shows the sensor strength based on Gaussian distribution model, and Fig. 1b presents the sensor signal points generated as circle set. Figure 1c represents a polar coordinate model of the sensor signal.
These results suggest that recombination involving different PeSL motifs were generating mini-circles containing the same ORFan192 sequence.
The more prosaic Stoker novel yielded a circle with a few key words clustered hotly in the center; the elegant Shelley novel generated a circle with 50 words of moderate intensity that faded toward the edges.
During a test of the site, Mr. Paley conducted his own comparative-literature exercise with Bram Stoker's "Dracula" and Mary Shelley's "Frankenstein". The more prosaic Stoker novel yielded a circle with a few key words clustered hotly in the center; the elegant Shelley novel generated a circle with 50 words of moderate intensity that faded toward the edges.
If arranged in a closed ring, it would generate a circle of about 30 nm radius, considering a distance of 3.2 nm between Snf7 monomers in the filaments (Shen et al., 2014) (radius = perimeter / (2π) = (60 × 3.2)/(2 × 3.14) ∼32 nm).
In addition, the circular RNA produced from the plasmid is RNase R resistant and, notably, exhibits the same level of RNase R resistance as the genomic copy, strong evidence that the plasmid generates a circle rather than a spliced linear concatamer of exons.
