What's the difference between theorem and theory?

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.

Theory


Definition:

  • (n.) A doctrine, or scheme of things, which terminates in speculation or contemplation, without a view to practice; hypothesis; speculation.
  • (n.) An exposition of the general or abstract principles of any science; as, the theory of music.
  • (n.) The science, as distinguished from the art; as, the theory and practice of medicine.
  • (n.) The philosophical explanation of phenomena, either physical or moral; as, Lavoisier's theory of combustion; Adam Smith's theory of moral sentiments.

Example Sentences:

  • (1) This theory was confirmed by product analysis and by measuring the affinity of the substrate for the enzyme by its inhibition of p-nitrophenyl glucoside hydrolysis.
  • (2) The position of the cyst supports the theory that branchial cysts are congenital in origin.
  • (3) It helped pay the bills and caused me to ponder on the disconnection between theory and reality.
  • (4) Implications of the theory for hypothesis testing, theory construction, and scales of measurement are considered.
  • (5) This observation, reinforced by simultaneous determinations of cortisol levels in the internal spermatic and antecubital veins, practically excluded the validity of the theory of adrenal hormonal suppression of testicular tissues.
  • (6) In 1935, Einstein challenged the prevailing interpretation of quantum theory.
  • (7) These results are interpreted in terms of the accessory binding site theory of Ariëns, and suggest the existence of different accessory binding sites on the Ascaris GABA receptor.
  • (8) September 11 conspiracies Facebook Twitter Pinterest September 11 conspiracy theories.
  • (9) This theory is supported by a previous experimental report.
  • (10) On the assumption of a distribution in properties of the suspension according to the theory of Bruggeman, the capacitance is calculated to have a value of about one half this.5.
  • (11) These findings do not support the theory that 5-HT1C receptor activation causes migraine.
  • (12) Only one part of the theory of Alajouanine and colleagues has been confirmed by our experiments for our results have shown that there is a very close correlation between semantic paraphasias and disorders of semantic differentiation whilst no correlation can be found between phonemic paraphasias and disturbances in auditory phonemic discrimination.
  • (13) A new theory for the peculiar site selection of cholesteatomas of the external auditory canal is postulated.
  • (14) However, our theory differs in several important respects from the latter efforts.
  • (15) This paper provides an overview of the theory, indicating its contributions--such as a basis for individual psychotherapy of severe disorders and a more effective understanding of countertransference--and its shortcomings--such as lack of an explanation for the effects of physical and cognitive factors on object relatedness.
  • (16) The various theories of carpal tunnel syndrome (CTS) are reviewed.
  • (17) Comparison with values predicted from theory shows that the distribution of protein among the various cross-linked species, obtained after different extents of exposure to cross-linker, is consistent with a two-layered arrangement of subunits involving one type of interaction between subunits from different layers and another between subunits within the same layer.
  • (18) For each theory, a constraint on preformance is proposed based on interference between the "analytic" and "synthetic" pitch perception modes.
  • (19) Republican presidential hopeful Scott Walker has refused to say whether he believes in the theory of evolution, arguing that it is “a question a politician shouldn’t be involved in one way or the other”.
  • (20) These findings support the theory that plasma-membrane-cytoskeleton interactions have a role in the expression of specific immunity; the findings also identify new areas that should be considered in trying to understand the primary immunodeficiency diseases.