What's the difference between equation and resolvent?

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.

Resolvent


Definition:

  • (a.) Having power to resolve; causing solution; solvent.
  • (n.) That which has the power of resolving, or causing solution; a solvent.
  • (n.) That which has power to disperse inflammatory or other tumors; a discutient; anything which aids the absorption of effused products.
  • (n.) An equation upon whose solution the solution of a given pproblem depends.

Example Sentences:

  • (1) The effects of glucagon-induced insulin secretion upon this lipid regulation are discussed that may resolve conflicting reports in the literature are resolved.
  • (2) Although the longest period required for resolving weakness was three days, the MRI, the CT and the electroencephalogram revealed no significant abnormality.
  • (3) The technique resolved chromosomes in the size range of 100 kb-1 Mb.
  • (4) 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.
  • (5) Time-resolved tyrosine fluorescence anisotropy shows global correlation times broadly in agreement with the NMR results, but with an additional faster correlation time [approximately 600 ps].
  • (6) The latter indicated that, despite the smaller size of the digital image, they were adequate for resolving clinically significant soft-tissue densities.
  • (7) By applying this method to rat cardiac whole muscle, high-molecular weight proteins, such as myosin heavy chains, are focused on the first-dimensional gels and, in addition, minor components are resolved on the second-dimensional gels, without loss during equilibration with detergent.
  • (8) Our findings: (1) both forms, LC1 and LC3, migrate in the two species with rather similar electrophoretic constants (both in terms of pI and Mr); (2) the LC2 forms of rabbit and humans exhibit the same Mr but quite different pI values, the rabbit forms being more acidic; (3) the chain LC2Sb is resolved into two spots in both rabbit and humans.
  • (9) In individuals who resolved their HCV infection or progressed to chronicity, anti-HCV IgM was produced transiently at or near the onset of clinically diagnosed acute hepatitis.
  • (10) However, localizing a functional region with PET has been severely limited by the poor resolving properties of PET devices.
  • (11) Given the liberalist context in which we live, this paper argues that an act-oriented ethics is inadequate and that only a virtue-oriented ethics enables us to recognize and resolve the new problems ahead of us in genetic manipulation.
  • (12) Without operative correction of the tricuspid valve, secondary tricuspid regurgitation can resolve following mitral valve surgery alone.
  • (13) The aza analogue (RS)-3-hydroxy-2,5-pyrrolidinedione-3-acetic acid (6) of the five-membered citric anhydride (2) was prepared in the sequence citric acid----2-phenyl-1,3-dioxolan-4-one-5,5-diacetic acid (1)----citric acid beta-amide (3)----6 and used to resolve ambiguities in the mechanism of the citrate synthase reaction.
  • (14) These findings resolved upon cessation of timolol and reappeared on 3 occasions shortly after reinstitution of the beta blocker therapy.
  • (15) The Pr(III)-induced shifts for several resolved nonexchangeable backbone proton resonances were compared with calculated shifts using the known x-ray structure.
  • (16) The data indicate that about 56% of the eyes responded to therapy with 1% F3TdR alone even when therapy was initiated after signs of stromal inflammation had begun to appear and epithelial disease was resolving.
  • (17) The infection responded to oxytetracycline and the anaemia subsequently resolved.
  • (18) No major complication was recorded and a case of asymptomatic pneumothorax resolved spontaneously within 48 hours.
  • (19) Withdrawal of the drug and application of all-trans retinoic acid ointment resulted in resolving of the keratinisation.
  • (20) A spokeswoman for the airport said it was resolved by 8.15am.