What's the difference between cartesian and mathematical?

Cartesian


Definition:

  • (a.) Of or pertaining to the French philosopher Rene Descartes, or his philosophy.
  • (n.) An adherent of Descartes.

Example Sentences:

  • (1) In naive Cartesianism this assertion starts out from the assumption that illness may develop solely from physical causes.
  • (2) We have determined experimentally the temperature dependence of human erythrocyte spectrin dimer intrinsic viscosity at shear rates 8-12 s-1 using a Cartesian diver viscometer.
  • (3) Modern physics has put in question the validity of its own metaphysical basis, namely the belief in Natural Law, and modern biology has been unable to come to terms with the Cartesian dualism of body and soul.
  • (4) Such dependence on proximity is appropriate for the vestibular reflex, which must transform signals from Cartesian to polar coordinates, but not for the visual reflex, which operates entirely in polar coordinates.
  • (5) We extended the model to binocular viewing conditions, which allows for a description of the visual axes in Cartesian coordinates in relation to the head.
  • (6) By CNDO (Complete Neglect of Differential Overlap) molecular orbital method, interatomic distances and XYZ cartesian corrdinates were calculated in five polymorphs (monohydrated, alpha, two beta, and gamma) of sulfanilamide.
  • (7) The events in Pavlov's laboratory lead toward the postulation of a new paradigm that rejected the Cartesians conceptualization of the reflex as a mechanistic response to stimuli by replacing it with the Darwinian notion of the organism's adaptation to the environmental conditions.
  • (8) A schematic representation of the organization of the programme includes feeding of information in the form of Cartesian co-ordinates; the geometric determination of the points for calculating the base doses, the calculation of the strength of the base dose, the reference dose, and doses at particular points in the central plane, and finally, tracing the isodoses.
  • (9) Cartesian dualism has become untenable in view of recent neuropsychology but it still obstructs our management of functional patients.
  • (10) Every profile was normalized by subdividing in 120 points and standardized by positioning the sagittal line of skull vault profile parallel to the ordinate axis of a Cartesian system.
  • (11) Also, this Cartesian representation may be common to many orienting movements, yet it appears to differ from the coordinate systems controlling other movement types such as stabilization or phasic movements.
  • (12) The main feature is the capability to draw graphs in a Cartesian coordinate system.
  • (13) The co-ordinates can be used in more conventional analytic ways in the same way as cartesian co-ordinates.
  • (14) This program provides the printout of the Cartesian and cylindrical coordinates of all atoms of a double-stranded helix of nucleic acid in either A, A' or B conformation with any specified base sequence up to 50 nucleotides or longer.
  • (15) The radial thrombus length is then measured at 5 degrees increments and plotted on Cartesian coordinates as a function of polar coordinate.
  • (16) The oxygen consumption of these vessels, determined with the Cartesian diver microrespirometer, was found to be size dependent.
  • (17) Comparison is based on the time span 5 to 15 ps and considering cartesian coordinates, dihedral angles, H-bond length, and accessible surface area.
  • (18) Performance appears to be consistent with decision processes based upon the least squares minimum distance classifier (LSMDC) operating over a cartesian feature space consisting of the real (even) and imaginary (odd) components of the signals.
  • (19) The 2D spectral response profiles of most of the remaining cells were neither polar nor Cartesian separable, because the response profiles were elongated about an axis of symmetry that did not pass through the origin.
  • (20) The sampling techniques we consider are uniform distribution of points on a regular Cartesian grid and random selection of points.

Mathematical


Definition:

  • (a.) Of or pertaining to mathematics; according to mathematics; hence, theoretically precise; accurate; as, mathematical geography; mathematical instruments; mathematical exactness.

Example Sentences:

  • (1) We present a mathematical model that is suitable to reconcile this apparent contradiction in the interpretation of the epidemiological data: the observed parallel time series for the spread of AIDS in groups with different risk of infection can be realized by computer simulation, if one assumes that the outbreak of full-blown AIDS only occurs if HIV and a certain infectious coagent (cofactor) CO are present.
  • (2) On the basis of mathematical models of the obtained dose-time-effect relationship, the risk of cancer occurrence due to small carcinogen doses is predicted.
  • (3) Unfortunately more than three quantitative data cannot be judged simultaneously without help of mathematical methods.
  • (4) The kinetic properties of the cell-free extracts fit mathematical models developed for in vitro systems reconstituted from purified enzymes.
  • (5) All of the multivariate data were treated with mathematic method of cluster analysis.
  • (6) Problems of calculations and predictions on more than two particles moving are known in mathematics and physics since a long time already.
  • (7) The normal anatomical position of the point of junction of the superficial cerebral veins with the superior sagittal and transverse sinuses of the rat was studied with an analytical mathematical method.
  • (8) Such measured courses may be mathematically modelled by the so-called BATEMAN function type, an expression consisting of 2 e-function terms.
  • (9) This review begins with a mathematical and qualitative description of the inverse problem in terms of epicardial potentials.
  • (10) For both cases, mathematical expressions as proposed and used by Sager are applied.
  • (11) Since the four determining coefficients may change over evolutionary time-scales, the mathematical results together with a natural selection argument proves that virulence gamma 2 attenuates.
  • (12) The selection of optimal parameters, development of valid measurement procedures, and use of mathematical modeling and descriptive statistics are necessary for quantitative studies by ultrasound of fetal organ growth.
  • (13) The mathematical model clearly predicts this decrease in concentration.
  • (14) The ability of a mathematical model to evaluate the effects of two different pain modulating procedures (partial nerve block and vibration) on acute experimental pulpal pain was studied.
  • (15) A mathematical model that abstracts the major features of the vegetative life cycle of Neurosopra crassa has been developed, and the action of selection in this model and various extensions of it is such as to maintain polymorphisms of vegetative incompatibility factors.
  • (16) Mathematical models describing the process of the patients treatment and permitting to pronosticate the blood and urine sugar level during the treatment were developed.
  • (17) I used to tease him with the suggestion he had chosen me as walking companion because I had no mathematics at all and so he was safe from prying questions, but in fact now and then he did used to tell me about what he was doing – and how clear it all seemed when he spoke!
  • (18) A mathematical treatment and an original microcalorimetric method are developed to verify an eventual competitive binding between any two substances for the same macromolecule.
  • (19) By means of the method of factor-geometric analysis using a computer DVK-3, mathematic calculations of the effectiveness of the operation were made.
  • (20) A mathematical model of cochlear processing is developed to account for the nonlinear dependence of frequency selectivity on intensity in inner hair cell and auditory nerve fiber responses.