What's the difference between equant and prolate?

Equant


Definition:

  • (n.) A circle around whose circumference a planet or the center of ann epicycle was conceived to move uniformly; -- called also eccentric equator.

Example Sentences:

Prolate


Definition:

  • (a.) Stretched out; extended; especially, elongated in the direction of a line joining the poles; as, a prolate spheroid; -- opposed to oblate.
  • (v. t.) To utter; to pronounce.

Example Sentences:

  • (1) The uterine volume was measured in 30 patients 24 hours before hysterectomy by ultrasonography using the prolate ellipsoid formula.
  • (2) Native human Glu-plasminogen (Glu1-Asn791) was previously shown to have a radius of gyration of 39 A and a shape best described by a prolate ellipsoid [Mangel, W. F., Lin, B., & Ramakrishnan, V. (1990) Science 248, 69-73].
  • (3) Uterine volume, based on the ultrasound data, was calculated, utilizing the formula for a prolate ellipsoid, before and after treatment.
  • (4) Three commonly used prostate volume measurement techniques were analyzed: planimetry, prolate ellipse volume calculation (HWL), and an ellipsoid volume measurement technique.
  • (5) The left ventricle was modeled as a three-dimensional, prolate ellipsoidal shell.
  • (6) Several previous studies had indicated that S1 is a highly extended protein which can be modeled by a prolate ellipsoid with an axial ratio of 10 to 1.
  • (7) The length-to-width ratios of bacteriophage T2 and T4 heads and stereometric angles specifying the prolate icosahedral T2 capsid were evaluated on electron micrographs recorded from samples prepared by a variety of methods.
  • (8) The frictional ratio (2.14) is consistent with a prolate ellipsoid of axial ratio 24, corresponding to an apparent length and width of 516 and 21.5 A, respectively.
  • (9) The mutations of the three core genes (genes 67, 68, and 22) affect the width mainly by lateral outgrowths of the prolate particle, although small and large isometric particles are also found.
  • (10) This feature may be important in morphogenesis since the mean volume of prolate vesicles is larger than that of spherical vesicles.
  • (11) Assuming constancy of surface area and approximating red cell shapes by both prolate and oblate ellipsoids of revolution, values are determined for cell shape factor and volume under a variety of conditions.
  • (12) Consequently, more adsorption occurred at larger surface hydrophobicities, smaller size molecules, and for prolate orientation of ellipsoidal molecules.
  • (13) It had a prolate head and non-contractile tail and produced large haloes around plaques.
  • (14) In addition, although phase microscopic image analysis revealed that virtually all of the cells displayed a squamous morphology within 1 hour after exposure to FBS or TGF-beta 1, observations made 48 to 72 hours later showed the presence of clusters of small prolate spheroid-shaped cells surrounded by many involucrin-positive squamous-appearing cells.
  • (15) The paper explains how the formulas for calculating the surface area of the prolate spheroid, which a nucleus resembles, can be changed by suitable substitutions into formulas based on measured diameters l and k [mm] of the nucleus approach side surface, magnified 3.000 times, and on a mixed cyclometric function dependent on the axial ratio.
  • (16) Because high solvent content and weak diffraction are indicative of an extended flexible structure, we examined the molecular shape of the recombinant CD4 with ultracentrifugation and found that it has an axial ratio of roughly 6, when modeled as a prolate ellipsoid.
  • (17) The octamer is a prolate ellipsoid 110 angstroms long and 65 to 70 angstroms in diameter, and its general shape is that of a rugby ball.
  • (18) This area is about twice that calculated from a prolate ellipsoid model for prothrombin.
  • (19) Very simple formulas are deduced for the NSAR of a prolate spheroid or cylinder with R greater than 6.
  • (20) Vt is analogous to the equilibrium volume (V0), determined as the volume intercept of the logarithmic passive pressure-volume (P-V) relationship using LV volume estimated from LV weights (V0 nl = 37.6 + 4.4 ml), or the volume intercept of the linearized P-V relationship calculated from a prolate spheroidal model using measured minor and major diameters (V0 l = 44.5 + 3.5 ml).

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