What's the difference between expected and theorem?

Expected


Definition:

  • (imp. & p. p.) of Expect

Example Sentences:

  • (1) Philip Shaw, chief economist at broker Investec, expects CPI to hit 5.1%, just shy of the 5.2% reached in September 2008, as the utility hikes alone add 0.4% to inflation.
  • (2) This study compares the mortality of U.S. white males with that of Swedish males who have had the highest reported male life expectancies in the world since the early 1960s.
  • (3) Life expectancy and the infant mortality rate are considered more useful from an operational perspective and for comparisons than is the crude death rate because they are not influenced by age structure.
  • (4) Compound Z has the properties expected of an oxidized MPT precursor.
  • (5) Paradoxically, each tax holiday increases the need for the next, because companies start holding ever greater amounts of their tax offshore in the expectation that the next Republican government will announce a new one.
  • (6) Hearing loss at 8 kHz would shorten the I-V interval, while a loss at 4 kHz would be expected to lengthen the interval.
  • (7) Moreover, one may expect satisfactory results in most cases.
  • (8) But not only did it post a larger loss than expected, Amazon also projected 7% to 18% revenue growth over the busiest shopping period of the year, a far cry from the 20%-plus pace that had convinced investors to overlook its persistent lack of profit in the past.
  • (9) The image was altered in the expected way, which means that the device is suitable for investigating the possibilities of different filters to improve the diagnostic ability.
  • (10) One would expect banks to interpret this in a common sense and straightforward way without trying to circumvent it."
  • (11) But if you want to sustain a long-term relationship, it's important to try to develop other erotic interests and skills, because most partners will expect and demand that.
  • (12) A reduction in neonatal deaths from this cause might be expected if facilities for antenatal diagnosis and termination of pregnancy were made available, although this raises grave ethical problems.
  • (13) The presence of the expected C19 neutral and C18 phenolic steroids was confirmed.
  • (14) It is proposed that microoscillations of the eye increase the threshold for detection of retinal target displacements, leading to less efficient lateral sway stabilization than expected, and that the threshold for detection of self motion in the A-P direction is lower than the threshold for object motion detection used in the calculations, leading to more efficient stabilization of A-P sway.
  • (15) A dozen peers hold ministerial positions and Westminster officials are expecting them to keep the paperwork to run the country flowing and the ministerial seats warm while their elected colleagues fight for votes.
  • (16) "We presently are involved in a number of intellectual property lawsuits, and as we face increasing competition and gain an increasingly high profile, we expect the number of patent and other intellectual property claims against us to grow," the company said.
  • (17) The process of integrating the two banks is expected to take three years, with predictions that up to 25,000 roles could eventually be eliminated.
  • (18) Contrary to expectations, low SES was not associated with greater levels of hyperglycemia or grades of retinopathy.
  • (19) In these conditions, glucose uptake was sensitive and correlated to the expected membrane potentials.
  • (20) This fact suggested that TCTFP may be metabolized intensively by glutathione (GSH) conjugation and therefore, like hexachlorobutadiene, would be expected to be nephrotoxic.

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.