What's the difference between induction and theorem?

Induction


Definition:

  • (n.) The act or process of inducting or bringing in; introduction; entrance; beginning; commencement.
  • (n.) An introduction or introductory scene, as to a play; a preface; a prologue.
  • (n.) The act or process of reasoning from a part to a whole, from particulars to generals, or from the individual to the universal; also, the result or inference so reached.
  • (n.) The introduction of a clergyman into a benefice, or of an official into a office, with appropriate acts or ceremonies; the giving actual possession of an ecclesiastical living or its temporalities.
  • (n.) A process of demonstration in which a general truth is gathered from an examination of particular cases, one of which is known to be true, the examination being so conducted that each case is made to depend on the preceding one; -- called also successive induction.
  • (n.) The property by which one body, having electrical or magnetic polarity, causes or induces it in another body without direct contact; an impress of electrical or magnetic force or condition from one body on another without actual contact.

Example Sentences:

  • (1) All rats were examined in the conscious, unrestrained state 12 wk after induction of diabetes or acidified saline (pH 4.5) injection.
  • (2) The influence of the various concepts for the induction of lateral structure formation in lipid membranes on integral functional units like ionophores is demonstrated by analysing the single channel current fluctuations of gramicidin in bimolecular lipid membranes.
  • (3) Cellulase regulation appears to depend upon a complex relationship involving catabolite repression, inhibition, and induction.
  • (4) Injection of resistant mice with Salmonella typhimurium did not result in the induction of a population of macrophages that expressed I-A continuously.
  • (5) This induction is sensitive to actinomycin D but not to protein synthesis inhibitor puromycin, indicating an effect of estradiol at the transcriptional level, possibly mediated by the estrogen receptor.
  • (6) Here we show that this induction of AP-2 mRNA is at the level of transcription and is transient, reaching a peak 48-72 hr after the addition of RA and declining thereafter, even in the continuous presence of RA.
  • (7) Induction of labor, based upon only (1) a finding of meconium in the amniocentesis group or (2) a positive test in the OCT group, was nearly three times more frequent in the amniocentesis group.
  • (8) The effects of phenoxyacetic acid herbicides were investigated on the induction of chromosome aberrations in human peripheral lymphocyte cultures in vitro and in lymphocytes of exposed workers in vivo.
  • (9) During the 1st h after induction of the sporulation process, the rate of protein synthesis increased to two times the initial value.
  • (10) This activation demonstrated in humans confirms the pharmacological results of the interferon induction obtained with SL04 in vivo in mice and in vitro in human cell cultures.
  • (11) The induction of cells with two Y chromosomes by nitrogen mustard (NM) was examined.
  • (12) The influence of the inhibitors on the transferase induction was dose and time-dependent.
  • (13) Addition in the cultures of 4-deoxypyridoxine, a potent antagonist of vitamin B6 coenzymes, concurrently with the mitogen, inhibits the induction of serine hydroxymethyltransferase.
  • (14) Here we report direct measurements of protein kinase C (PKC) activity in uninduced ectoderm, and in neuroectoderm shortly after induction by the involuting mesoderm, in Xenopus laevis embryos.
  • (15) Glucocorticoids have been shown in in vitro systems to inhibit the release of arachidonic acid metabolites, namely prostaglandins (PGs) and leukotrienes, apparently, via the induction of a phospholipase A2 inhibitory protein, called lipocortin.
  • (16) The EEG became isoelectric within 20 s after induction of ischaemia.
  • (17) Our findings demonstrate that interleukin-2 (IL-2), but not interferon-gamma (IFN-gamma) or interleukin-1 (IL-1), is able to inhibit the induction of T-cell unresponsiveness in a dose-dependent fashion.
  • (18) Characerization of further parameters such as relative susceptibility to tolerance induction and relative degree of specificity was not possible with the use of KLH as the antigen.
  • (19) When Zn injection was preceded by a Cd injection, induction as measured by MT-1 mRNA and MT concentrations were approximately additive in liver.
  • (20) We conclude that plasma LAP measurements have little value in monitoring ovulation induction therapy.

Theorem


Definition:

  • (n.) That which is considered and established as a principle; hence, sometimes, a rule.
  • (n.) A statement of a principle to be demonstrated.
  • (v. t.) To formulate into a theorem.

Example Sentences:

  • (1) The operational meaning of all the resulting theorems is that when any of them appear to be refuted experimentally, the presence of more than one parallel transport pathway (that is, of membrane heterogeneity transverse to the direction of transport) can be inferred and analyzed.
  • (2) From these, the upper limits of visual acuity were derived on the basis of the assumptions of the sampling theorem.
  • (3) We reviewed the literature on the performance of the blood culture as a diagnostic test and analyzed the data with Bayes' theorem to find the optimal number of cultures to draw.
  • (4) Based upon the sensitivity and specificity, the authors calculated the expected predictive values for different groups of asymptomatic individuals using Bayes' theorem.
  • (5) The prognostic relevances of the characters investigated were tested by Bayes' theorem.
  • (6) The structure of nonverbal communication expressed as eye-contact between two human beings is analyzed using graph-theoretic tools involving a theorem of König on bipartite graphs and various results concerning directed graphs (as in Harary).
  • (7) Based on Bayes' theorem, 'Solubile' uses up to 47 items of information about the patient to produce the most probable diagnosis from 22 possible diseases.
  • (8) Using Monte Carlo methods, we verify an equation derived from O'Connor's scaling theorem relating scatter-primary ratios at small depths and field sizes to those at larger depths and fields.
  • (9) We have extended their work, which is based on logit analysis, to consider, using Bayes' theorem, the influence of the proportion of carcinogens upon the decision rules for declaring a battery result positive or negative.
  • (10) The introduction of this differentiation of histopathologic diagnoses is not just another sophisticated scientific theorem; its practical significance may be seen in a definitive restriction of the application of antirejection therapy, which means a reduction of the risks and side effects imposed on heart-transplanted patients by chemotherapy and particularly by steroid therapy.
  • (11) A theorem about correspondence of the graph constructed and coefficients of the characteristic polynomial of linearized kinetic equations is proved.
  • (12) One depends on solving a set of non-linear simultaneous equations, and the other on Taylor's theorem.
  • (13) It is based on three steps: 1) the search for all possible helical regions relied on a mathematical approach derived from the convolution theorem; it uses a tetradimensional complex vector representation of the bases along the sequence; 2) a 'tree' search for a set of minimum free energy structures, by the aid of an approximate energy evaluation to reduce the computer time requirements; 3) the exact calculation and refinement of the energies.
  • (14) The power is either derived from the Pythagorean Theorem or measured on graph paper.
  • (15) The steady-state solutions (Kirchhoff-Hill theorem) yield expressions for the relationship between the small signal conductance of univalent ions and the concentration of these ions in the external bathing medium (a saturation curve) and for the ionic currents and the steady-state current-voltage curve (N-shaped).
  • (16) In this situation the general principles of decision analysis can be contemplated: the characteristics of the test (sensibility and specificity), the prevalence of the disease and Bayes theorem and the concept of utility.
  • (17) These assumptions are not universally true and it is shown that the theorems can be modified to take account of such deviations.
  • (18) Using Bayes theorem and logistic regression analysis, the effect of changing driver characteristics on the probability of a fatality was explored.
  • (19) It is proposed that that the dual-track theorem generally and the Siamese-twin configuration (with the Moebius-strip twist) specifically offer a unique and useful paradigmatic perspective that allows us to organize and integrate the characteristics and functions of the brain-mind continuum.
  • (20) Total discrimination and divergence are derived from Baye's theorem and based on backward (a posteriori) probabilities.