What's the difference between theorem and true?

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.

True


Definition:

  • (n.) Conformable to fact; in accordance with the actual state of things; correct; not false, erroneous, inaccurate, or the like; as, a true relation or narration; a true history; a declaration is true when it states the facts.
  • (n.) Right to precision; conformable to a rule or pattern; exact; accurate; as, a true copy; a true likeness of the original.
  • (n.) Steady in adhering to friends, to promises, to a prince, or the like; unwavering; faithful; loyal; not false, fickle, or perfidious; as, a true friend; a wife true to her husband; an officer true to his charge.
  • (n.) Actual; not counterfeit, adulterated, or pretended; genuine; pure; real; as, true balsam; true love of country; a true Christian.
  • (adv.) In accordance with truth; truly.

Example Sentences:

  • (1) While it is true that Clinton’s favorability rating is languishing among all voters, her favorability among Democrats is as robust as Biden’s, at nearly 75% .
  • (2) Accidentally discovered nearly 40 years ago as the first true antidepressants, the MAOIs soon fell into disfavor due to concerns about toxicity and seemingly lesser efficacy compared with the newer tricyclic compounds.
  • (3) We identified four distinct clinical patterns in the 244 patients with true positive MAI infections: (a) pulmonary nodules ("tuberculomas") indistinguishable from pulmonary neoplasms (78 patients); (b) chronic bronchitis or bronchiectasis with sputum repeatedly positive for MAI or granulomas on biopsy (58 patients, virtually all older white women); (c) cavitary lung disease and scattered pulmonary nodules mimicking M. tuberculosis infection (12 patients); (d) diffuse pulmonary infiltrations in immunocompromised hosts, primarily patients with AIDS (96 patients).
  • (4) But what they take for a witticism might very well be true; most of Ellis's novels tell more or less the same story, about the same alienated ennui, and maybe they really are nothing more than the fictionalised diaries of an unremarkably unhappy man.
  • (5) True, Syria subsequently disarmed itself of chemical weapons, but this was after the climbdown on bombing had shown western public opinion had no appetite for another war of choice.
  • (6) Since the incidence of gastric cancer in our population seems to be unchanged, this may suggest a true increase in proximal gastric tumours.
  • (7) That the BBC has probably not been as vulnerable since the 1980s is also true – not least because the enemies of impartiality are more powerful, and the BBC's competitors (maimed after a year's exposure of their own behaviour in the Leveson inquiry ) are keen to wreck it.
  • (8) When the results of the different studies are pooled, however, there is a significant difference between those patients with true infarction, and those in whom infarction was excluded, in terms of overall mortality (12% and 7%; P less than 0.0001) and the development of subsequent non-fatal infarction (11% and 6%; P less than 0.05) when the results are analysed for a period of follow-up of one year.
  • (9) Technically speaking, this modality of brief psychotherapy is based on the nonuse of transferential interpretations, on impeding the regression od the patient, on facilitating a cognitice-affective development of his conflicts and thus obtain an internal object mutation which allows the transformation of the "past" into true history, and the "present" into vital perspectives.
  • (10) Emergency CT showed evidence of pericardial effusion suggesting hemopericardium, enlargement of the ascending aorta and a peripheral semilunar filling defect which caused a slight deformation of the true channel.
  • (11) According to perimeter of leg, 13% of these girl students might he considered affected of second degree malnutrition, this situation prevailed from 13 to 18 years of age, but was not true in the 12--year--old group.
  • (12) Using the intersection point of these pH-logPCO2 lines as a point of equal hemoglobin-independent "base excess" for each condition, values for true base excess were plotted.
  • (13) These high Danish rates seem to reflect the true prevalence and incidence in the less serious types of progressive muscular dystrophy, probably because the Danish health system with free medical care and easy access to specialized hospital departments makes it possible to identify all cases of progressive muscular dystrophy.
  • (14) But I feel I'm being true to myself in the way my career has panned out and I'm making the correct decision here.
  • (15) The enterococcal population of the 'dosed' birds contained a greater proportion of Enterococcus faecium than did that of the control birds while the converse was true for Ent.
  • (16) Although the estimation of incidence only from hospital cases underestimates the true incidence, and also considering the limitation of comparing results of studies from several time periods, the incidence of UC in our area is the highest one reported to the present time in Spain and Southern Europe.
  • (17) If mammography becomes a wide spread screening method for early detection of breast cancer, the number of non-true interval cancers could be a feed back on the effectiveness of the screening.
  • (18) True Love Impulse Body Spray, Simple Kind to Skin Hydrating Light Moisturiser and VO5 Styling Mousse Extra Body marked double-digit price rises on average across the four chains.
  • (19) Levinson's film, to be titled Black Mass, will be based on the New York Times bestseller Black Mass: The True Story of an Unholy Alliance Between the FBI and the Irish Mob , by Boston Globe reporters Dick Lehr and Gerard O'Neill.
  • (20) We're all familiar with this approach, which is based around meeting targets, and it's true that it got things done.