What's the difference between equation and mathematics?

Equation


Definition:

  • (n.) A making equal; equal division; equality; equilibrium.
  • (n.) An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.
  • (n.) A quantity to be applied in computing the mean place or other element of a celestial body; that is, any one of the several quantities to be added to, or taken from, its position as calculated on the hypothesis of a mean uniform motion, in order to find its true position as resulting from its actual and unequal motion.

Example Sentences:

  • (1) The data show that whenever the two half components correspond to different RTs, the resulting RT equates that of the faster component.
  • (2) The deep green people who have an issue with the language of natural capital are actually making the same jump from value to commodification that they state that they don’t want ... They’ve equated one with the other,” he says.
  • (3) Compared to the SRK II-equation the results of the new programme are much more precise.
  • (4) The intensity changes seen for alpha-fucose were found to follow a reversible first-order rate-equation and the rate constants obtained from different vibrational bands were found to be consistent among themselves and in reasonable agreement with those obtained by other techniques.
  • (5) The solution of these differential equations gives the velocity of the basilar membrane and hence other related quantities, e.g., displacement, pressure, driving-point impedance at the stapes.
  • (6) The tissue and an aliquot of bathing medium were counted for 3H and 14C content and the values entered into the Wadell and Butler equation.
  • (7) The retreating rate constants deduced from the dissolution results were well coincident with the values directly determined by the needle penetration method, suggesting good applicability of the proposed equation.
  • (8) The prediction equations significantly (t = 6.59, p less than 0.01) underestimated bench press performance in the more extensively weight trained subjects.
  • (9) I have equated nationalism with racism, xenophobia, inward-looking-ness and militarism.
  • (10) But Steven Brounstein, a lawyer for one of the officers, said: 'For the DA to be equating this case to a drive-by shooting is absurd.
  • (11) A conclusion is made that it is important to examine the eye fundus periphery and equator in patients with central vitreoretinal edematous fibroplastic syndrome.
  • (12) Based on a linear combination of N possible characteristic fluorescence spectra, and using N weighting functions, this method allows the integration of fluorescence intensities over the entire fluorescence spectra and the generation of n equations with N unknowns.
  • (13) A sound source is commonly spherical, therefore solutions are found for the wave equation in spherical coordinates, giving a precise meaning to the 'azimuthal' and 'magnetic quantum number' analogy.
  • (14) The data were analysed using statistical methods that yield continuous piecewise linear regression equations and allow subjects to have repeated measures which are unequally spaced and at different times for different subjects.
  • (15) The voltage trace is then analysed with a piece of transparent paper, on which lines corresponding to solutions of the diffusion equation convert the time axis of the voltage trace into a concentration axis.
  • (16) It is shown that when a constant current is applied such that a stable equilibrium and rhythmic firing are present, the following predictions are inherent in the HH system of equations: (a) Small instantaneous voltage perturbations to the axon given at points along its firing spike result in phase resetting curves (when new phase versus old phase is plotted) with an average slope of 1.
  • (17) Therefore, gene diffusion in energy space is described by the Focker--Plank's equation.
  • (18) Based on this mechanism the rate equation for the overall reaction was deduced and the various kinetic constants estimated.
  • (19) In this study we applied two commonly used birth weight prediction equations to a sample of 121 women with prolonged pregnancies.
  • (20) The degree of quenching was accurately predicted by a simple relation derived in this paper, as well as a more complex equation previously developed by Tweet, et al.

Mathematics


Definition:

  • (n.) That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.

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.