However, by formulating the problem as the solution of a Toeplitz matrix and using Levinson recursion, we can relatively quickly estimate a filter with the smallest mean squared error possible.

" There are many positive and useful uses of critical thinking, for example formulating a workable solution to a complex personal problem, deliberating as a group about what course of action to take, or analyzing the assumptions and the quality of the methods used in scientifically arriving at a reasonable level of confidence about a given hypothesis.

By formulating MAX-2-SAT as a problem of finding a cut ( that is, a partition of the vertices into two subsets ) maximizing the number of edges that have one endpoint in the first subset and one endpoint in the second, in a graph related to the implication graph, and applying semidefinite programming methods to this cut problem, it is possible to find in polynomial time an approximate solution that satisfies at least 0. 940 ... times the optimal number of clauses.

It may be possible to overcome this problem, only by formulating the criticism as briefly as possible, and communicate it in a form which takes the least time to understand it.

If, as in this case, we can find a unique such invariant measure, that solves the problem of formulating accurately what ' random line ' means ; and expectations become integrals with respect to that measure.

In 1963, Roger Penrose imported from algebraic geometry the essential innovation, now called conformal compactification, and in 1972, Robert Geroch used this to circumvent the tricky problem of suitably defining and evaluating suitable limits in formulating a truly coordinate-free definition of asymptotic flatness.

The idea of formulating the IFR is to clearly define the goal of improvement and to work back from that point, thus eliminating rework by solving the right problem initially.

Another approach for formulating this problem is POMDP Partially observable Markov decision process.

The term refers to the idea of formulating propositions, subjecting them to philosophical critique and then following a ' path ' to realize them.

In his major work, Economy and Society he used this term in arbitrary chronological and geographical frames, e. g., he wrote that " this Christian preoccupation with the formulation of dogmas was in Antiquity particularly influenced by the distinctive character of ' intelligentsia ', which was the product of Greek education " When formulating major social classes of his time, Weber combines intelligentsia with other social categories, e. g., he defines a major class consisting of " the propertyless intelligentsia and specialists ( technicians, various kinds of white-collar employees, civil servants – possible with considerable social differences depending on the cost of their training )" and yet other " classes privileged through property and education ".

During his term, Bhutto was known to be formulating aggressive geostrategic and foreign policies towards India.

However the key assumption he made in formulating the collision term was " molecular chaos ", an assumption which breaks time-reversal symmetry as is necessary for anything which could imply the second law.

Contributions for which Luce is known include formulating Luce's choice axiom formalizing the principle that additional options should not affect the probability of selecting one item over another, defining semiorders, introducing graph-theoretic methods into the social sciences, and coining the term " clique " for a complete subgraph in graph theory.

Rather than formulating it as the last refuge of capitalism organising to defend itself against the working class, the party's writers and speakers tended to view it as a particular type of reform movement.

This raised numerous questions about how various formulations relate to one another, how adequate the formulation is to various philosophical tasks ( in particular, the task of formulating physicalism ), and whether it avoids or entails reductionism.

The theory of Cartan connections was developed by Élie Cartan, as part of ( and a way of formulating ) his method of moving frames ( repère mobile ).< ref > Although Cartan only began formalizing this theory in particular cases in the 1920s, he made much use of the general idea much earlier.

Many types of sums are used in formulating particular problems ; applications require usually a reduction to some known type, often by ingenious manipulations.

This is in an effort to expose how the observer of the activity assembles, or constitutes, the activity for the purposes of formulating any particular description.

Similar to general risk management, financial risk management requires identifying its sources, measuring it ( see: Risk measure: Well known risk measures ), and formulating plans to address these, and can be qualitative and quantitative.

Those proponents of rational choice models associated with the Chicago school of economics do not claim that a model's assumptions are a full description of reality, only that good models can aid reasoning and provide help in formulating falsifiable hypothesis, whether intuitive or not.

In China, the Traditional Chinese Medicine approach is used in formulating natural herbal teas and they are very popular in enhancing health and addressing core issues within the body ; e. g. formulated recipes like hawthorn plus oolong / pu-er can address the high fat level in body's bloodstream.

The main purpose of a program evaluation can be to " determine the quality of a program by formulating a judgment " Marthe Hurteau, Sylvain Houle, Stéphanie Mongiat ( 2009 ).

Stability of certain drugs can be improved, and the elimination of a wetting and drying process can be beneficial when formulating drugs that are thermolabile or moisture sensitive.

Public administration can be defined as a department in the executive arm of government responsible for the formulating and implementation of government policies and programmes.

We can begin by formulating the complex integral

In a ferromagnetic work piece, plastics can be induction-welded by formulating them with metallic or ferromagnetic compounds, called susceptors.

He is best known for formulating Dunbar's number, roughly 150, a measurement of the " cognitive limit to the number of individuals with whom any one person can maintain stable relationships ".

Hx ) of a patient is information gained by a physician by asking specific questions, either of the patient or of other people who know the person and can give suitable information ( in this case, it is sometimes called heteroanamnesis ), with the aim of obtaining information useful in formulating a diagnosis and providing medical care to the patient.

ENG abnormalities can be useful in the diagnosis and localization of site of lesion ; however, many abnormalities are nonlocalizing ; therefore, the clinical history and otologic examination of the patient are vital in formulating a diagnosis and treatment plan for a patient presenting with dizziness or vertigo.

It can help in planning and formulating policies for the companies.

The temporary Peace Corps will be a source of information and experience to aid us in formulating more effective plans for a permanent organization.

Most manufacturers also seem to be concentrating on formulating fire-resistant or self-extinguishing grades of urethane foam that are aimed specifically at the burgeoning building markets.

Psychologists believe that the search for meaning is common in conspiracism and the development of conspiracy theories, and may be powerful enough alone to lead to the first formulating of the idea.

:" We are not there because of our friendship, we are there because, like you, we believe it is right to be there and, like you, we shall stay there as long as it seems necessary to achieve the purposes of the South Vietnamese Government and the purposes that we join in formulating and progressing together.

In London, where the family was reduced to poverty, Marx continued writing and formulating his theories about the nature of society and how he believed it could be improved, and also campaigned for socialism — he became a significant figure in the International Workingmen's Association.

In response, SETI advocates note, among other things, that the Drake Equation was never a hypothesis, and so never intended to be testable, nor to be " solved "; it was merely a clever representation of the agenda for the world's first scientific SETI meeting in 1961, and it serves as a tool in formulating testable hypotheses.

Broad step in logo design process would be formulating concept, doing initial sketch, finalizing the logo concept, deciding the theme colors and format.

Brainiac knew that if the Kryptonian elders learned of it, Brainiac would be tasked with formulating an evacuation plan.

In order to promote the establishment and maintenance of international peace and security with the least diversion for armaments of the world's human and economic resources, the Security Council shall be responsible for formulating, with the assistance of the Military Staff Committee referred to in Article 47, plans to be submitted to the Members of the United Nations for the establishment of a system for the regulation of armaments.

According to Greene and Armstrong, some strategists assert adhering to the fundamental principles guarantees victory, while others claim war is unpredictable and the general must be flexible in formulating a strategy.

Information technology and its systems have become so important that the CIO has come to be viewed in many organizations as the key contributor in formulating strategic goals for an organization.

Albert Einstein's central insight in formulating special relativity was that, for full consistency with electromagnetism, mechanics must also be revised such that Lorentz invariance replaces Galilean invariance.

Some linguists, most notably Edgar H. Sturtevant and Warren Cowgill, have argued that it should be classified as a sister language to Proto-Indo-European, rather than a daughter language, formulating the Indo-Hittite hypothesis.

She may also be viewed as an emerging feminist figure, able to defend herself with her knobkerry and — although naïve — capable of formulating searching theological questions.

According to it, scientific inquiry proceeds by formulating a hypothesis in a form that could conceivably be falsified by a test on observable data.

Opponents of quantum indeterminism suggested that determinism could be restored by formulating a new theory in which additional information, so-called hidden variables