(n.) A philosophical proposition, doctrine, or principle of reasoning.
Example Sentences:
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.