What's the difference between secant and section?

Secant


Definition:

  • (a.) Cutting; divivding into two parts; as, a secant line.
  • (a.) A line that cuts another; especially, a straight line cutting a curve in two or more points.
  • (a.) A right line drawn from the center of a circle through one end of a circular arc, and terminated by a tangent drawn from the other end; the number expressing the ratio line of this line to the radius of the circle. See Trigonometrical function, under Function.

Example Sentences:

  • (1) The absorbed light per unit area illuminated decreases with increasing angle, because the area illuminated by the laser beam is proportional to the secant of the incident angle.
  • (2) In the course of history of anatomy the prosector (dissector, incisor, secant, sculptor, procurator) held total different positions: at first he acted as a manual craftsman (barber surgeon) and as teacher's assistant lacking any academic education (organized in fraternities or guilds).
  • (3) Newton's method appears to have better convergence properties than the secant method in the likelihood ratio test case.
  • (4) Results indicate that a secant modulus could be determined by measuring indenter force and contact area.
  • (5) The basis of several solution methods is described; the PROSYN program is capable of using either of two (bracketting and the secant method) of these procedures.
  • (6) The conjugate gradient method is used to optimize the inversion slice profile produced by complex hyperbolic secant selective pulses.
  • (7) It is found that multifrequency selective excitation with sinc pulses--up to eight slices are investigated--and two-frequency inversion with hyperbolic secant pulses lead to profiles comparable in quality and selectivity to those of conventional single-frequency pulses.
  • (8) Similarly, the secant method is easier to implement for the computation of score test based intervals.
  • (9) An automated imaging technique, based upon the method of directed secants, was used to quantify variations in bone porosity and trabecular size, distribution, and orientation within serial transverse histological sections of the L1 and L2 vertebral centrum.
  • (10) The Secant formula and Euler's formula were proved to be specific cases in this general solution.
  • (11) However, the secant method may be easier to program for models with link functions that are not natural.

Section


Definition:

  • (n.) The act of cutting, or separation by cutting; as, the section of bodies.
  • (n.) A part separated from something; a division; a portion; a slice.
  • (n.) A distinct part or portion of a book or writing; a subdivision of a chapter; the division of a law or other writing; a paragraph; an article; hence, the character /, often used to denote such a division.
  • (n.) A distinct part of a country or people, community, class, or the like; a part of a territory separated by geographical lines, or of a people considered as distinct.
  • (n.) One of the portions, of one square mile each, into which the public lands of the United States are divided; one thirty-sixth part of a township. These sections are subdivided into quarter sections for sale under the homestead and preemption laws.
  • (n.) The figure made up of all the points common to a superficies and a solid which meet, or to two superficies which meet, or to two lines which meet. In the first case the section is a superficies, in the second a line, and in the third a point.
  • (n.) A division of a genus; a group of species separated by some distinction from others of the same genus; -- often indicated by the sign /.
  • (n.) A part of a musical period, composed of one or more phrases. See Phrase.
  • (n.) The description or representation of anything as it would appear if cut through by any intersecting plane; depiction of what is beyond a plane passing through, or supposed to pass through, an object, as a building, a machine, a succession of strata; profile.

Example Sentences:

  • (1) Standardization is possible after correction by the protein content of each individual section.
  • (2) The cross sectional area of the aortic lumen was gradually decreased while the length of the stenotic lesion gradually increased by using strips with different width.
  • (3) Serial sections of mouse foetal liver, during the 9th and 16th days of gestation, were studied.
  • (4) Multiple overlapping thin 3D slab acquisition is presented as a magnitude contrast (time of flight) technique which combines advantages from multiple thin slice 2D and direct 3D volume acquisitions to obtain high-resolution cross-sectional images of vessel detail.
  • (5) The diagnosis of anaplastic thyroid cancer, though suspected, was deferred for permanent sections in all cases.
  • (6) Limited biopsic retroperitoneal lymphnode dissection subsequently extended following the result of the frozen section histology.
  • (7) Serially sectioned rabbit foliate taste buds were examined with high voltage electron microscopy (HVEM) and computer-assisted, three-dimensional reconstruction.
  • (8) Lung sections of rats exposed to quartz particles were significantly different.
  • (9) There was however no difference in the cross-sectional studies and no significant deleterious effect detected of tobacco use on forearm bone mineral content.
  • (10) When the posterior capsule was sectioned, no significant changes were noted in the severity of the sag or the rotation.
  • (11) A similar interference colour appeared after incubating sections of rat skin with chymase.
  • (12) From these results it was concluded that FITC-Con A staining method applied to smear specimens is more advantageous in the rapidity and the simplicity for tumor cell diagnosis than section specimen method.
  • (13) The enzyme was quantitated by incubation of 16-micron-thick brain sections with 0.07-2 nM of the converting enzyme inhibitor 125I-351A and comparison to 125I-standards.
  • (14) At day 7 MD occupy about 14% area of posterior retina in transverse sections in Campbell rats versus 7% in normal animals.
  • (15) Using serial section electron microscopic reconstructions as a reference, we have chosen as our standard procedure a method that maximizes both the preservation of the cytoskeleton and the proportion of cells staining, while minimizing the degree of nonspecific staining.
  • (16) Pitlike surface structures seen in negatively stained whole cells and thin sections were correlated with periodically spaced perforations of the rigid sacculus.
  • (17) Females were killed at various times after the onset of mating or artificial insemination, oviducts were fixed and sectioned serially, and spermatozoa were counted individually as to their location in the oviduct.
  • (18) The lengths and heights of the scalae tympani in ten pairs of serially sectioned temporal bones were measured by an adaptation of the serial section method of cochlear reconstruction.
  • (19) Using a monoclonal antibody against dopamine and a rabbit antiserum against serotonin, 5-methoxytryptamine or tryptamine, we were able to achieve the simultaneous localization of two amines in glutaraldehyde-fixed sections of rat dorsal raphe nuclei.
  • (20) Chromatolysis and swelling of the cell bodies of cut axons are more prolonged than after optic nerve section and resolve in more central regions of retina first.