What's the difference between equation and free?

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.

Free


Definition:

  • (superl.) Exempt from subjection to the will of others; not under restraint, control, or compulsion; able to follow one's own impulses, desires, or inclinations; determining one's own course of action; not dependent; at liberty.
  • (superl.) Not under an arbitrary or despotic government; subject only to fixed laws regularly and fairly administered, and defended by them from encroachments upon natural or acquired rights; enjoying political liberty.
  • (superl.) Liberated, by arriving at a certain age, from the control of parents, guardian, or master.
  • (superl.) Not confined or imprisoned; released from arrest; liberated; at liberty to go.
  • (superl.) Not subjected to the laws of physical necessity; capable of voluntary activity; endowed with moral liberty; -- said of the will.
  • (superl.) Clear of offense or crime; guiltless; innocent.
  • (superl.) Unconstrained by timidity or distrust; unreserved; ingenuous; frank; familiar; communicative.
  • (superl.) Unrestrained; immoderate; lavish; licentious; -- used in a bad sense.
  • (superl.) Not close or parsimonious; liberal; open-handed; lavish; as, free with his money.
  • (superl.) Exempt; clear; released; liberated; not encumbered or troubled with; as, free from pain; free from a burden; -- followed by from, or, rarely, by of.
  • (superl.) Characteristic of one acting without restraint; charming; easy.
  • (superl.) Ready; eager; acting without spurring or whipping; spirited; as, a free horse.
  • (superl.) Invested with a particular freedom or franchise; enjoying certain immunities or privileges; admitted to special rights; -- followed by of.
  • (superl.) Thrown open, or made accessible, to all; to be enjoyed without limitations; unrestricted; not obstructed, engrossed, or appropriated; open; -- said of a thing to be possessed or enjoyed; as, a free school.
  • (superl.) Not gained by importunity or purchase; gratuitous; spontaneous; as, free admission; a free gift.
  • (superl.) Not arbitrary or despotic; assuring liberty; defending individual rights against encroachment by any person or class; instituted by a free people; -- said of a government, institutions, etc.
  • (superl.) Certain or honorable; the opposite of base; as, free service; free socage.
  • (superl.) Privileged or individual; the opposite of common; as, a free fishery; a free warren.
  • (superl.) Not united or combined with anything else; separated; dissevered; unattached; at liberty to escape; as, free carbonic acid gas; free cells.
  • (adv.) Freely; willingly.
  • (adv.) Without charge; as, children admitted free.
  • (a.) To make free; to set at liberty; to rid of that which confines, limits, embarrasses, oppresses, etc.; to release; to disengage; to clear; -- followed by from, and sometimes by off; as, to free a captive or a slave; to be freed of these inconveniences.
  • (a.) To remove, as something that confines or bars; to relieve from the constraint of.
  • (a.) To frank.

Example Sentences:

  • (1) Cancer patients showed abnormally high plasma free tryptophan levels.
  • (2) In conclusion, the efficacy of free tissue transfer in the treatment of osteomyelitis is geared mainly at enabling the surgeon to perform a wide radical debridement of infected and nonviable soft tissue and bone.
  • (3) The authors have presented in two previous articles the graphic solutions resembling Tscherning ellipses, for spherical as well as for aspherical ophthalmic lenses free of astigmatism or power error.
  • (4) The hypothesis that proteins are critical targets in free radical mediated cytolysis was tested using U937 mononuclear phagocytes as targets and iron together with hydrogen peroxide to generate radicals.
  • (5) With NaCl as the major constituent of the bathing solution (potassium-free pipette and external solutions) the reversal potential (Er) of the noradrenaline-evoked current was about 0 mV.
  • (6) In cardiac tissue the adenylate system is not a good indicator of the energy state of the mitochondrion, even when the concentrations of AMP and free cytosolic ADP are calculated from the adenylate kinase and creatine kinase equilibria.
  • (7) The promoters of the adenovirus 2 major late gene, the mouse beta-globin gene, the mouse immunoglobulin VH gene and the LTR of the human T-lymphotropic retrovirus type I were tested for their transcription activities in cell-free extracts of four cell lines; HeLa, CESS (Epstein-Barr virus-transformed human B cell line), MT-1 (HTLV-I-infected human T cell line without viral protein synthesis), and MT-2 (HTLV-I-infected human T cell line producing viral proteins).
  • (8) This frees the student to experience the excitement and challenge of learning and the joy of helping people.
  • (9) The role of O2 free radicals in the reduction of sarcolemmal Na+-K+-ATPase, which occurs during reperfusion of ischemic heart, was examined in isolated guinea pig heart using exogenous scavengers of O2 radicals and an inhibitor of xanthine oxidase.
  • (10) This sling was constructed bu freeing the insertion of the pubococcygeus and the ileococcygeus muscles from the coccyx.
  • (11) In Ca free-solution phenylephrine inhibited the response to CaCl2.
  • (12) The actuarial 5-year disease-free survival rates were 83% (group 1), 83% (group 2), and 100% (group 3).
  • (13) Their effects on various lipid fractions, viz., triglycerides (TG), phospholipids, free cholesterol, and esterified cholesterol, were studied in liver, plasma, gonads, and muscle.
  • (14) These deficiencies in the data compromise HIV surveillance based on diagnostic testing, and supplementary bias-free data are needed.
  • (15) The authors conclude that H. pylori alone causes little or no effect on an intact gastric mucosa in the rat, that either intact organisms or bacteria-free filtrates cause similar prolongation and delayed healing of pre-existing ulcers with active chronic inflammation, and that the presence of predisposing factors leading to disruption of gastric mucosal integrity may be required for the H. pylori enhancement of inflammation and tissue damage in the stomach.
  • (16) Only those derivatives with a free amino group and net positive charge in the side chain were effective.
  • (17) Under milder trypsin digestion conditions three resistant fragments were produced from the free protein.
  • (18) "This was very strategic and it was in line of the ideology of the Bush administration which has been to put in place a free market and conservative agenda."
  • (19) To determine the influence of cetylpyridinium chloride (CPC) adsorption on the wettability and elemental surface composition of human enamel, with and without adsorbed salivary constituents, surface-free energies and elemental compositions were determined.
  • (20) By growing purified human cytotrophoblasts under serum-free conditions and manipulating the culture surface, we were able to disassociate morphologic from biochemical differentiation.