What's the difference between theorem and theoretical?

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.

Theoretical


Definition:

  • (a.) Pertaining to theory; depending on, or confined to, theory or speculation; speculative; terminating in theory or speculation: not practical; as, theoretical learning; theoretic sciences.

Example Sentences:

  • (1) Models able to describe the events of cellular growth and division and the dynamics of cell populations are useful for the understanding of functional control mechanisms and for the theoretical support for automated analysis of flow cytometric data and of cell volume distributions.
  • (2) Theoretical findings on sterilization and disinfection measures are useless for the dental practice if their efficiency is put into question due to insufficient consideration of the special conditions of dental treatment.
  • (3) Theoretical computations are performed of the intercalative binding of the neocarzinostatin chromophore (NCS) with the double-stranded oligonucleotides d(CGCG)2, d(GCGC)2, d(TATA)2 and d(ATAT)2.
  • (4) From these data it is possible to predict theoretically the apparent temperature difference as seen by an infrared scanner or radiometer with a detector of which the spectral detectivity, D (lambda), is known.
  • (5) Reasonably good agreement is seen between theoretical apparent rate-vesicle concentration relationships and those measured experimentally.
  • (6) Theoretical objections have been raised to the use of He-O2 as treatment regimen.
  • (7) In addition to the phase diagrams reported here for these two binary mixtures, a brief theoretical discussion is given of other possible phase diagrams that may be appropriate to other lipid mixtures with particular consideration given to the problem of crystalline phases of different structures and the possible occurrence of second-order phase transitions in these mixtures.
  • (8) The problem-based system provides a unique integration of acquiring theoretical knowledge in the basic sciences through clinical problem solving which was highly rated in all analysed phases.
  • (9) To explain some of these results a theoretical model is presented to demonstrate that while short circuiting can block the passive ionic movement, it will cause an increase in the energy consumption of the system and introduce certain important changes in the ionic barriers and e.m.fs.
  • (10) It is theoretically possible that in patients with overt CHF, drug treatment may not alter prognosis.
  • (11) Starting from the hypothesis that a new type of cooperativity, dynamic cooperativity, is present in the elementary cycles of the chemo-mechanical conversion, quantitative and consistent agreement was obtained between the theoretical and experimental data on the temperature dependences of the streaming velocity and the ATPase activity, including the presence of the phase transition.
  • (12) Theoretical 13C NMR spectra for all possible structures of some linear polysaccharides were calculated by using additive scheme of glycosidation effects.
  • (13) administration the time for distribution in the body amounted to 8 h. The extrapolated initial concentrations in the equilibrium to distribution amounted to 0.68% of the administered dose in the plasma volume, and the theoretical volume of distribution was 5 times the body volume.
  • (14) Theoretically, a carbon-centered radical intermediate could be formed by 1-electron reduction of MPP+, or by 1-electron oxidation of 1-methyl-4-phenyl-1,2-dihydropyridine, the free base form of MPDP+.
  • (15) The author uses an eclectic theoretical frame of reference which includes some elements of psychodynamic, object relations, and structural and strategic family therapy theory.
  • (16) Survival ranged from 2 to 20 M, with a median survival time of 6 M. Tolerance to the subsequent CT, normal tissue reaction to accelerated RT, and the theoretical advantage of accelerated RT over conventional RT for SCCL were evaluated.
  • (17) Reduced mineral absorption is fairly well documented and has sound theoretical support from basic chemistry.
  • (18) Comparison of these theoretical results with variations in reabsorption observed in micropuncture studies makes it possible to place upper and lower bounds on the difference between interstitial oncotic and hydrostatic pressures in the renal cortex of the rat.
  • (19) How can the interaction between theoretical neuroscientists and their experimental counterparts be improved?
  • (20) The most substantial deviations between actual and theoretical osmolarity values occurred with the calcium chloride, sodium bicarbonate, potassium chloride and dextrose solutions.