What's the difference between secant and sine?

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.

Sine


Definition:

  • (n.) The length of a perpendicular drawn from one extremity of an arc of a circle to the diameter drawn through the other extremity.
  • (n.) The perpendicular itself. See Sine of angle, below.
  • (prep.) Without.

Example Sentences:

  • (1) 19 different inserts from these clones along with the SINE, Alu, and the LINE, A36Fc, were used to probe Southern blots of early- and late-replicating hamster or human DNA.
  • (2) Total respiratory resistance (R(T)) was measured by the application of a sine wave of airflow to the mouth at the resonant frequency of the respiratory system.
  • (3) The former time-pattern displays a fast rise and an exponential decay, while the latter exhibits a damped sine wave.
  • (4) The distribution of response intensities from one meridian to another is adequately described by a sine wave function.
  • (5) Flight wingbeat and sine song frequency remain unchanged.
  • (6) In addition, the sine-sweep responses show quite different frequency characteristics in respect of depolarization and repolarization.
  • (7) We then aligned the edges again to produce incoherent motion and superimposed a sine-wave grating on the pattern.
  • (8) A sine wave current stimulus, applied between electrodes placed about one ear and an indifferent electrode, produced a cyclical sway predominantly in the coronal plane.
  • (9) The Bayesian solution to the Behrens-Fisher problem of normal distributions with differing variances was an acceptable compromise after the data had been transformed by the inverse hyperbolic sine method applicable to negative binomials.
  • (10) Observers were asked to discriminate between a simple 3 cpd sine-wave grating, (3), and a complex grating composed of this (3) plus a 9 cpd grating combined in one of two phases: peaks-subtract, (3,9:0), or peaks-add, (3,9:pi).
  • (11) The norepinephrine level increased with the stepwise tilting and the positive linear correlation was observed between the levels and the sine values of tilting angles.
  • (12) During stereotactic surgery, electrical impedance was measured by means of a roving electrode technique with a sine wave current of 10 kc.
  • (13) Beta cell deficiency is a sine qua non of Type 2 diabetes.
  • (14) In this paper we describe and demonstrate phase space trajectories generated for sine waves, mixtures of sine waves, and white noise (random chaotic events).
  • (15) The complex, peripheral and central regulation of TP transport plays an essential role sine TP-hydroxylase is not a saturated enzyme.
  • (16) Second, the evidence about the sensitivity of the brain during the first three years to early environmental input is now beyond dispute, making this the period sine qua non, in terms of investing limited resources to optimise outcomes, particularly for the disadvantaged children exposed to multiple risks.
  • (17) In both axes, the experimental exposure was an approximate half-sine waveform with peak acceleration up to 10 G and velocity change up to 9.2 m X s-1.
  • (18) A pursuit tracking task was carried out to investigate the effects of combinations of sine waves on the development of precognitive mode, which is defined as open-loop mode with little feedback.
  • (19) Data were fit using a two-step sine and cosine regression for each 24-h period.
  • (20) The specialized instruments are the sine qua non of the procedure.