What's the difference between quadratrix and quadrature?

Quadratrix


Definition:

  • (n.) A curve made use of in the quadrature of other curves; as the quadratrix, of Dinostratus, or of Tschirnhausen.

Example Sentences:

Quadrature


Definition:

  • (a.) The act of squaring; the finding of a square having the same area as some given curvilinear figure; as, the quadrature of a circle; the operation of finding an expression for the area of a figure bounded wholly or in part by a curved line, as by a curve, two ordinates, and the axis of abscissas.
  • (a.) A quadrate; a square.
  • (a.) The integral used in obtaining the area bounded by a curve; hence, the definite integral of the product of any function of one variable into the differential of that variable.
  • (a.) The position of one heavenly body in respect to another when distant from it 90¡, or a quarter of a circle, as the moon when at an equal distance from the points of conjunction and opposition.

Example Sentences:

  • (1) 220 MHz proton Fourier transform (FT) NMR with quadrature phase detection (QPD) technique is applied to observe largely hyperfine-shifted signals of various hemoproteins and hemoenzymes in ferric high-spin state.
  • (2) The recorded Doppler quadrature signals were processed by spectral analysis.
  • (3) A special circuit utilizing two electrodes and three leads permits reduction of the unwanted quadrature signal to zero.
  • (4) In many conditions, dmax exceeded half a cycle of f1, a result that appears to contradict predictions from quadrature models of motion detection.
  • (5) The class of Newton-Côtes numerical quadrature procedures is examined from the perspective of minimizing mean squared error (MSE).
  • (6) Interactions of long-wave L cone and S cone signals in direction-selective mechanisms were measured with an orange counterphase grating and a violet counterphase test, both flickering at the same rate and presented in spatial quadrature phase on the yellowish adapting field.
  • (7) A pulsed Doppler cardiotocograph module was extended to obtain low frequency Doppler signals, by the addition of a 90 degree phase shifter, analog multipliers, quadrature detector, sample and hold circuits and low pass filters, to produce five simultaneous outputs representing movement at depths separated by 1.5cm intervals.
  • (8) A frequency band decomposition of an ECG waveform is carried out by means of quadrature mirror filters (QMF), which split the ECG spectrum into six bands of unequal width.
  • (9) The apparatus consists of an array of focused acoustic transducers, a fluid jet to position the particles, and electronics incorporating quadrature detection.
  • (10) It has been recently demonstrated that some primary otolith afferents and most otolith-related vestibular nuclei neurons encode two spatial dimensions that can be described by two vectors in temporal and spatial quadrature.
  • (11) We propose a model which incorporates these new results and provides a parsimonious explanation for the construction of both quadrature phase and anti-phase pairs.
  • (12) Predictions of the quadrature model are derived for both two-frame and multiframe displays.
  • (13) Oscillatory motion can be decomposed into the sum of a modulating counterphase grating and a static masking grating, both of which are in spatial quadrature (i.e., 90 degrees out of phase).
  • (14) are in temporal quadrature) at low temporal frequencies, but their phase difference increases to a half-cycle by about 4 Hz.
  • (15) To determine the existence of tissue heating-associated risks to the eye with magnetic resonance (MR) imaging performed at high specific absorption rates (SARs), corneal temperature was measured in 14 patients immediately before and after MR imaging performed with a 1.5-T, 64-MHz unit and a quadrature-driven body coil for radio-frequency transmission and a receive-only local coil designed for eye imaging.
  • (16) A simulation for Doppler ultrasound quadrature signals from pulsatile, nonuniform flow is presented.
  • (17) The hexagonal orthogonal-oriented quadrature pyramid (HOP) transform, which operates on a hexagonal input lattice, employs basis functions that are orthogonal, self-similar, and localized in space, spatial frequency, orientation, and phase.
  • (18) The demonstration of compelling dichoptic illusions of motion using a variety of stimuli, all of which share the property that left and right eye patterns were spatio-temporal quadrature pairs, has been interpreted as evidence for binocular integration in the early motion system (short range motion).
  • (19) Blood flow velocity was measured in the dog aorta distal to mechanically induced constrictions of various degrees of severity employing an 8-MHz pulsed Doppler ultrasound velocimeter and a phase-lock loop frequency tracking method for extracting velocity from the Doppler quadrature signals.
  • (20) Results show that the simulation model generates realistic quadrature signals.

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