" SS2PL ( or Rigorousness ) is also the name of the set of all schedules that can be generated by this mechanism, i. e., these are SS2PL ( or Rigorous ) schedules, have the SS2PL ( or Rigorousness ) property.

Rigorous statistical analysis had demonstrated that on-base percentage and slugging percentage are better indicators of offensive success, and the A's became convinced that these qualities were cheaper to obtain on the open market than more historically valued qualities such as speed and contact.

Rigorous and scientifically defensible studies are clearly possible on all its aspects.

Rigorous test cases are used to ensure that products from different equipment vendors can interoperate in a wide variety of configurations.

Rigorous treatments of the method of steepest descent and the method of stationary phase, amongst others, are based on the Riemann – Lebesgue lemma.

The strategic thrusts and approaches based on the above mentioned framework of VIEWS: Visionary Leadership, Innovative & Rigorous Programmes, Excellence in Teaching & Learning, Warm & Nurturing School Environment, Supportive & Satisfied Stakeholders are outlined to create a sense of ownership among staff and students towards the mission, vision, directions and desired outcomes of the Institute.

* " Philosophy as Rigorous Science ", translated in Quentin Lauer, editor, 1965 Phenomenology and the Crisis of Philosophy.

* RAISE, Rigorous Approach to Industrial Software Engineering, was developed as part of the European ESPRIT II LaCoS project in the 1990s, led by Dines Bjørner.

Rigorous treatment of the Dirac delta requires measure theory or the theory of distributions.

Rigorous attempts to warn of tornadoes began in the United States in the mid-20th century.

Only the Count Palatine Louis II of Upper Bavaria " the Rigorous " promised to choose Albert.

Inner Contradictions of Rigorous Research.

2 on The Daily Beast's 2011 edition of " Most Rigorous Colleges in America.

When this is not the case, total least squares also known as Errors-in-variables models, or Rigorous least squares, should be used.

* Rigorous selection of gifted and creative young individuals.

Rigorous academic program offers all courses required for the State of Texas 3 graduation plans.

Rigorous safety precautions ensured there were no fatal accidents during the construction.

Rigorous stallion inspections were held beginning in 1715 in Ostfrisia, and spread to Oldenburg in 1755.

The artist Russell FitzGerald was a good friend of Delany's and did a number of book and magazine covers for him ( including the cover for the first edition of Nova and the cover for the Magazine of Fantasy and Science Fiction edition of " We, in Some Strange Power's Employ, Move on a Rigorous Line " ) and the three covers for the English paperback edition of the three volumes of Delany's Fall of the Towers trilogy.

Rigorous hygiene practices, including washing with soap and water daily and disinfecting wounds can help heal infected surfaces, and slow and potentially reverse existing tissue damage.

Rigorous courses include: International Baccalaureate, Advanced Placement, Gifted / Talented and ACP ( Advance College Project ) through Indiana University.

Rigorous touring, frustrations, and disappointments caused tensions that split the band in two.

Rigorous cost-saving and an austere regime ensured the school ’ s survival when many other schools closed.

One motivation for this use is that a number of generally accepted mathematical results, such as Tychonoff's theorem, require the axiom of choice for their proofs.

* Metamath-a language for developing strictly formalized mathematical definitions and proofs accompanied by a proof checker for this language and a growing database of thousands of proved theorems ; while the Metamath language is not accompanied with an automated theorem prover, it can be regarded as important because the formal language behind it allows development of such a software ; as of March, 2012, there is no " widely " known such software, so it is not a subject of " automated theorem proving " ( it can become such a subject ), but it is a proof assistant.

These are called conditional proofs: the conjectures assumed appear in the hypotheses of the theorem, for the time being.

The theory of field extensions ( including Galois theory ) involves the roots of polynomials with coefficients in a field ; among other results, this theory leads to impossibility proofs for the classical problems of angle trisection and squaring the circle with a compass and straightedge, as well as a proof of the Abel – Ruffini theorem on the algebraic insolubility of quintic equations.

A number of false proofs and false counterexamples have appeared since the first statement of the four color theorem in 1852.

In 1976, while other teams of mathematicians were racing to complete proofs, Kenneth Appel and Wolfgang Haken at the University of Illinois announced that they had proven the theorem.

The four color theorem has been notorious for attracting a large number of false proofs and disproofs in its long history.

This fact can be used to give proofs of the Brouwer fixed point theorem and the Borsuk – Ulam theorem in dimension 2.

Gödel's incompleteness theorem, another celebrated result, shows that there are inherent limitations in what can be achieved with formal proofs in mathematics.

The Pythagorean theorem has at least 370 known proofs

The same is true of proofs, which are often expressed as logically organized and clearly worded informal arguments, intended to convince readers of the truth of the statement of the theorem beyond any doubt, and from which arguments a formal symbolic proof can in principle be constructed.

Some, on the other hand, may be called " deep ": their proofs may be long and difficult, involve areas of mathematics superficially distinct from the statement of the theorem itself, or show surprising connections between disparate areas of mathematics.

The Pythagorean theorem and the law of quadratic reciprocity are contenders for the title of theorem with the greatest number of distinct proofs.

This term sometimes connotes a statement with a simple proof, while the term theorem is usually reserved for the most important results or those with long or difficult proofs.

However, lemmas are sometimes embedded in the proof of a theorem, either with nested proofs, or with their proofs presented after the proof of the theorem.

Sometimes corollaries have proofs of their own which explain why they follow from the theorem.

Recently, some formalist mathematicians have proposed that all of our formal mathematical knowledge should be systematically encoded in computer-readable formats, so as to facilitate automated proof checking of mathematical proofs and the use of interactive theorem proving in the development of mathematical theories and computer software.

Some proofs of the theorem only prove that any non-constant polynomial with real coefficients has some complex root.

A large number of non-algebraic proofs of the theorem use the fact ( sometimes called “ growth lemma ”) that an n-th degree polynomial function p ( z ) whose dominant coefficient is 1 behaves like z < sup > n </ sup > when | z | is large enough.