What's the difference between parabola and paraboloid?

Parabola


Definition:

  • (n.) A kind of curve; one of the conic sections formed by the intersection of the surface of a cone with a plane parallel to one of its sides. It is a curve, any point of which is equally distant from a fixed point, called the focus, and a fixed straight line, called the directrix. See Focus.
  • (n.) One of a group of curves defined by the equation y = axn where n is a positive whole number or a positive fraction. For the cubical parabola n = 3; for the semicubical parabola n = /. See under Cubical, and Semicubical. The parabolas have infinite branches, but no rectilineal asymptotes.

Example Sentences:

  • (1) The major variation in these patterns can be modeled by families of parabolas with a single degree of freedom.
  • (2) The relation between concentration and absorption in an eight step calibration series is well described by a parabola of the 2nd degree.
  • (3) It was shown that the women used a parabola with a larger margin over the top of the hurdle than the men: A lower parabola would shorten the hurdle step, and would require the lengthening of the three interhurdle steps.
  • (4) Three to eight parabolas were averaged for subjects in each posture; the mean for each posture was calculated.
  • (5) It was found that the velocity profile of the FITC labelled RBC in straight microvessels was blunt as compared to a parabola.
  • (6) The "excitability ratio" is the first derivative of the response parabola and as such becomes a linear function of the actual arterial CO2 partial pressure.
  • (7) The equation of the resulting parabola, corresponding to the upper frontal arch, can be applied to every maxillary dimension.
  • (8) This increase is satisfactorily expressed by a cubic parabola.
  • (9) A not previously described relationship between HbA2 and total Hb was demonstrated and probably conformed to a second degree parabola.
  • (10) The shape of protrusive condyle path was like a section of parabola curved forward and downward.
  • (11) Evaluations of the arterial and venous bleeding were conducted at 3 rates x 3 parabolas, and capillary bleeding was evaluated with 5 parabolas x 2 methods (pig's foot and sponge).
  • (12) The flow velocity profile in the venule seems to deviate slightly from the Newtonian parabola.
  • (13) The concentration of factor VIIIa can be obtained from the quadratic coefficient of the equation describing the parabola.
  • (14) Pointing accuracy improved movement-to-movement but not parabola-to-parabola, indicating that prolonged exposure is needed for sustained adaptation.
  • (15) A "reference parabola" is introduced making the fluid pressure concept more understandable.
  • (16) Transcranial Doppler data with accompanying acceleration information were analyzed in three segments in each parabola.
  • (17) The following objectives are addressed in this study: 1) to discuss present techniques and two new radiographic measurement systems; 2) to establish mean, standard deviation, and normal range values for these measurement systems; 3) to determine if these measurements vary with foot size; and 4) to use the results to establish general guidelines for metatarsal parabola reconstruction.
  • (18) Reaction patterns of 90 cortical neurons to acetylcholine approximated by two parabolas have been divided on simple and complex.
  • (19) Each parabola included a period of 1.8 Gz, then approximately 20 seconds of weightlessness, and finally a period of 1.6 Gz; the cycle repeated almost immediately for the remainder of the set.
  • (20) The constant delta C model is explored and a physically more realistic model is advanced which allows for a temperature-dependent delta C which changes sign at some temperature within the range of stability of the native protein; delta G(T) then has the form of a skewed parabola.

Paraboloid


Definition:

  • (n.) The solid generated by the rotation of a parabola about its axis; any surface of the second order whose sections by planes parallel to a given line are parabolas.

Example Sentences:

  • (1) The paraboloid is found in cytoplasmic processes projecting into the follicular lumen and in perikarya of the follicular cells.
  • (2) The sinuses are subsequently arranged into 4 classes, according to their similarity to solids of revolution such as: semi-ellipsoid (class a: 15% of specimens); paraboloid (class b: 30%); hyperboloid (class c: 47%) and cone (class d: 8%).
  • (3) In normal adult eyes and in eyes 21 days after lens removal, the paraboloid portion of the photoreceptor inner segments, and in some cases the perinuclear cytoplasm of the photoreceptor cells, contained the antigen.
  • (4) The present study suggests that the chick paraboloid not only is a field for active glycogen metabolism, but also becomes a storage of glycogen.
  • (5) A comparison of salmonella findings and E. coli titre showed that with increasing E. coli contamination the proportion of positive salmonella findings also increased (paraboloid curve).
  • (6) Double cones consist of a larger chief member which shows a thin tapering outer segment, a large heterogeneous oil droplet and a prominent paraboloid.
  • (7) Histamine-like immunoreactivity was localized within paraboloids of certain cone photoreceptors by use of two different antisera directed against histamine.
  • (8) Branching glycosyltransferase seemed to appear after phosphorylase was activated and these enzymes became higher in their activity with the differentiation in the paraboloid in the fetal and early postnatal periods.
  • (9) Native glycogen in the paraboloid stained brown, while histochemically synthesized polyglucose stained brown or purple.
  • (10) Overproduction of polyglucose particles was not found in the paraboloid of the retina incubated in the medium in vivo.
  • (11) Glycogen synthetase and phosphorylase activities in the paraboloid glycogen of the accessory cone of the chick retina were studied electron histochemically, while the paraboloid glycogen was observed by electron microscopy.
  • (12) Some of the paraboloid of the accessory cone of the chick retina contained abundant glycogen granules, but some showed no glycogen granules.
  • (13) Rod inner segments display an ellipsoid but no oil droplet or paraboloid.
  • (14) Polyglucose particles synthesized by phosphorylase activity in the chick paraboloid were located in the cytoplasmic matrices and expanded them widely.
  • (15) These enzyme activities appeared in the cytoplasmic matrices of the developing paraboloid in the photoreceptor inner segment almost simultaneously at the 17th day of incubation.
  • (16) These results show that (i) the shape of a fine tip is not conical but resembles more closely a paraboloid of revolution, and (ii) for this shape to be maintained throughout growth, accretion (rate of mass uptake per unit area) cannot everywhere be the same on the surface of the tip but must decrease as the diameter increases.
  • (17) A delay in formation of ellipsoid and paraboloid occurred, especially in membrane discs of the external segment of photoreceptor.
  • (18) Preincubation of eyecups in Ringer's containing 10 microM histamine selectively increased the immunoreactivity of these photoreceptor paraboloids.
  • (19) The specimens were embedded for routine electron microscopy and the paraboloid of the accessory cone was observed by electron microscopy.
  • (20) Electron microscopy revealed that the paraboloid in all experimental groups appeared to have many vacant spaces at the sites of polyglucose particles, as after the amylase digestion test.