This method in general solved the problem of obtaining fairly equal concentrations of reactants in each of the six cells from a set.

This will be more or less our general method for the second problem.

If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.

Combinatorics is an example of a field of mathematics which does not, in general, follow the axiomatic method.

A general method for analysis of concentration involves the creation of a calibration curve.

Justice Holmes cautioned that “ the proper derivation of general principals in both common and constitutional law ... arise gradually, in the emergence of a consensus from a multitude of particularized prior decisions .” Justice Cardozo noted the “ common law does not work from pre-established truths of universal and inflexible validity to conclusions derived from them deductively ,” but “ ts method is inductive, and it draws its generalizations from particulars .”

As a general rule of thumb, if the condition number, then you may lose up to digits of accuracy on top of what would be lost to the numerical method due to loss of precision from arithmetic methods.

The book describes the general pattern of the past official dynastic historiography on structure, method, order of arrangement, sequence, caption and commentary back to the pre-Qin era.

Some of the suspicions about hidden weaknesses in the S-boxes were allayed in 1990, with the independent discovery and open publication by Eli Biham and Adi Shamir of differential cryptanalysis, a general method for breaking block ciphers.

Processes ( in general ) are treated as a product of design, not the method of design.

“ Our author ( Diophantos ) not the slightest trace of a general, comprehensive method is discernible ; each problem calls for some special method which refuses to work even for the most closely related problems.

Exponentiating by squaring is a general method for fast computation of large integer powers of a number.

* Fixed-point iteration, a general method to compute a function's fixed point

Though this method can backfire, as the general opinion of feet can depend on the culture and society of the area.

Paul Erdős was the first to prove the general result, using the probabilistic method.

For he, following the example of no previous general, with teachers summoned from the gladiatorial training school of C. Aurelus Scaurus, implanted in the legions a more sophisticated method of avoiding and dealing a blow and mixed bravery with skill and skill back again with virtue so that skill became stronger by bravery's passion and passion became more wary with the knowledge of this art.

In practice, this method is only feasible for small numbers ; computing prime factorizations in general takes far too long.

According to many Marxists influenced by Soviet Marxism, historical materialism is a specifically sociological method, while dialectical materialism refers to a more general, abstract, philosophy.

The extension ψ is in general not uniquely specified by φ, and the proof gives no explicit method as to how to find ψ: in the case of an infinite dimensional space V, it depends on Zorn's lemma, one formulation of the axiom of choice.

For the benefit of users wishing to produce statistics and indexes oriented towards medical care, the Ninth Revision included an optional alternative method of classifying diagnostic statements, including information about both an underlying general disease and a manifestation in a particular organ or site.

Wallis generalized Cavalieri's method, computing integrals of x to a general power, including negative powers and fractional powers.

He was best known to the general public for inventing a method to treat milk and wine in order to prevent it from causing sickness, a process that came to be called pasteurization.

The general method of matrix addressing consists of sequentially addressing one side of the matrix, for example by selecting the rows one-by-one and applying the picture information on the other side at the columns row-by-row.

In one application, it is actually a benefit: the password-hashing method used in OpenBSD uses an algorithm derived from Blowfish that makes use of the slow key schedule ; the idea is that the extra computational effort required gives protection against dictionary attacks.

Further improvement upon the idea of instruction pipelining led to the development of a method that decreases the idle time of CPU components even further.

Martin Luther King, Jr. was opposed to the idea of gradualism as a method of eliminating segregation.

They expanded the range of geometry to many new kinds of figures, curves, surfaces, and solids ; they changed its methodology from trial-and-error to logical deduction ; they recognized that geometry studies " eternal forms ", or abstractions, of which physical objects are only approximations ; and they developed the idea of the " axiomatic method ", still in use today.

By using this method students gain the big idea they're taught and later are more willing to learn and keep the specifics of the concept or theory taught.

Influential to thinkers associated with Postmodernism are Heidegger's critique of the subject-object or sense-knowledge division implicit in Rationalism, Empiricism and Methodological Naturalism, his repudiation of the idea that facts exist outside or separately from the process of thinking and speaking them ( however, Heidegger is not specifically a Nominalist ), his related admission that the possibilities of philosophical and scientific discourse are wrapped up in the practices and expectations of a society and that concepts and fundamental constructs are the expression of a lived, historical exercise rather than simple derivations of external, apriori conditions independent from historical mind and changing experience ( see Johann Gottlieb Fichte, Heinrich von Kleist, Weltanschauung and Social Constructionism ), and his Instrumentalist and Negativist notion that Being ( and, by extension, reality ) is an action, method, tendency, possibility and question rather than a discreet, positive, identifiable state, answer or entity ( see also Process Philosophy, Dynamism, Instrumentalism, Pragmatism and Vitalism ).

He rejected the idea that the method was necessary to meet the population's increasing demand, explaining that animals in factory farms have to eat food grown explicitly for them, and they burn up most of the food's energy just to breathe and keep their bodies warm.

Dotmocracy is an established paper-based group facilitation method that invites participants to brainstorm ideas and then vote on a range of agreement for each idea in order to recognize which ideas have the most collective agreement.

It further develops the idea of serendipity as scientific " method " ( as juxtaposed with purposeful discovery by experiment or retrospective prophecy ).

The philosophical significance of such a method for Wittgenstein was that it alleviated a confusion, namely the idea that logical inferences are justified by rules.

Other science fiction books have promoted the idea of virtual reality as a partial, but not total, substitution for the misery of reality, or have touted it as a method for creating breathtaking virtual worlds in which one may escape from Earth.

This method of marketing to an extremely expansive user-base while maintaining the idea that the product was made for each individual " the best of all possible worlds — mass marketing and personal differentiation ".

Robert Blumenschine proposed the idea of confrontational scavenging, which involves challenging and scaring off other predators after they have made a kill, which he suggests could have been the leading method of obtaining protein rich meat by early humans.

While her organelle genesis ideas are widely accepted, symbiotic relationships as a current method of introducing genetic variation is something of a fringe idea.

For that matter, schematic painting was not Hals ' own idea ( the approach already existed in 16th century Italy ), and Hals was probably inspired by Flemish contemporaries, Rubens and Van Dyck, in his painting method.

" The reciprocal teaching method, which involves the teacher modeling the designated activities and gradually turning the procedure over to the students themselves, uses Vygotsky's idea of scaffolding.

The idea with the above method is you first find the general case for a kth moment where you have k different x variables-and then you can simplify this accordingly.

The basic idea of Nash's solution of the embedding problem is the use of Newton's method to prove the existence of a solution to the above system of PDEs.

Under Anderson, Wired has produced some widely noted articles, including the April 2003 " Welcome to the Hydrogen Economy " story, the November 2003 " Open Source Everywhere " issue ( which put Linus Torvalds on the cover and articulated the idea that the open source method was taking off outside of software, including encyclopedias as evidenced by Wikipedia ), the February 2004 " Kiss Your Cubicle Goodbye " issue ( which presented the outsourcing issue from both American and Indian perspectives ), and an October 2004 article by Chris Anderson, which coined the popular term " Long Tail.

An example of a device using elastic straps is the T-Tape method, which was developed in the 1990s with the idea of enabling restoration to take place more rapidly.

It is widely conjectured that there is no computationally inexpensive method to solve chess even in the very weak sense of determining with certainty the value of the initial position, and hence the idea of solving chess in the stronger sense of obtaining a practically usable description of a strategy for perfect play for either side seems unrealistic today.

Leonardo Da Vinci is frequently credited with introducing the idea of contact lenses in his 1508 Codex of the eye, Manual D, where he described a method of directly altering corneal power by submerging the eye in a bowl of water.

The phenomenological method serves to momentarily erase the world of speculation by returning the subject to his or her primordial experience of the matter, whether the object of inquiry is a feeling, an idea, or a perception.

The client presumes that the gateway is a NAT in layer-3, and it does not have any idea about the inside of the packet, but through this method the layer-3 packets are sent to the layer-7 proxy for investigation.