What's the difference between statement and theorem?

Statement


Definition:

  • (n.) The act of stating, reciting, or presenting, orally or in paper; as, to interrupt a speaker in the statement of his case.
  • (n.) That which is stated; a formal embodiment in language of facts or opinions; a narrative; a recital.

Example Sentences:

  • (1) Unfortunately, due to confidentiality clauses that have been imposed on us by the Department of Immigration and Border Protection, we are unable to provide our full names and … titles … However, we believe the evidence that will be submitted will validate the statements that we are making in this submission.” The submission detailed specific allegations – including names and dates – of sexual abuse of child detainees, violence and bullying of children, suicide attempts by children and medical neglect.
  • (2) Of course the job is not done and we will continue to remain vigilant to all risks, particularly when the global economic situation is so uncertain,” the chancellor said in a statement.
  • (3) A statement from the company said it had assigned all its assets for the benefit of creditors, in accordance with Massachusetts' law.
  • (4) As May delivered her statement in the chamber, police helicopters hovered overhead and a police cordon remained in place around Westminster, but MPs from across the political spectrum were determined to show that they were continuing with business as usual.
  • (5) So too his statement that "in Zulu culture you cannot leave a woman if she is ready.
  • (6) We are pleased to see the process moving forward and look forward to its resolution,” a Target spokeswoman, Molly Snyder, said in an emailed statement.
  • (7) 12pm, Channel 4 press office: "I refer you to the statement put out last night."
  • (8) In conjunction with the development of a computerized goal-oriented record system at Forest Hospital Des Plaines, Illinois, research staff developed a psychiatric goal list from goal statements most frequently used at the hospital.
  • (9) Local and international media and watchdog organisations such as the World Association of Newspapers , Committee to Protect Journalists and Reporters Without Borders have issued statements strongly condemning the prison sentence.
  • (10) Whilst we deeply regret all these incidents and acknowledge that the care of these patients could have been better, this is a relatively low number of incidents for a hospital of this size,” it said in a statement.
  • (11) In a statement the Los Angeles County department of public health said: "Though legionella bacteria was identified in a water sample taken from the Playboy Mansion, this bacteria has not been determined as the source of the respiratory outbreak.
  • (12) In a statement, a St James's Palace spokesman said: "The Duchess of Cambridge has been discharged from the King Edward VII hospital and will now head to Kensington Palace for a period of rest.
  • (13) Pressure test and impact test are leading to different strength statements.
  • (14) • Written, oral and video statements of self-incrimination and self-renunciation by the detainees, apparently induced by the authorities, have been released through official media channels (for example, lawyer Zhang Kai was induced to make such a statement, which he later retracted).
  • (15) However, financial markets seem unconcerned: 10-year gilts have rallied since the statement.
  • (16) A statement from the club read: "Everybody at Sheffield United is extremely shocked and saddened to learn of the death of former player and manager Gary Speed.
  • (17) I suppose he’ll have to go to QPR.” Lampard released a statement confirming his departure from Chelsea that read: “When I arrived at this fantastic club 13 years ago I would never have believed that I would be fortunate enough to play so many games and enjoy sharing in so much success.
  • (18) The report says this tactic has helped the west uncover at least one of Iran's secret nuclear sites and, according to official statements by the Iranians, has caused enrichment centrifuges to break.
  • (19) Their only clues were two statements involving contrasting mental terms, with each statement referring to one of the possible hiding places.
  • (20) According to Israeli media reports, the US statement had caused "senior officials in Jerusalem to tear out their hair".

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.