In the XSL attack, a specialized algorithm, termed XSL ( eXtended Sparse Linearization ), is then applied to solve these equations and recover the key.

Linearization is an effective method for approximating the output of a function at any based on the value and slope of the function at, given that is continuous on ( or ) and that is close to.

Linearization and resampling are widely used techniques for data from complex sample designs.

* Linearization via Taylor expansion.

Moon, Keith Playford, P. Tucker Withington, A Monotonic Superclass Linearization for Dylan, in Proceedings of OOPSLA 96, October 1996.

proposed an improved algorithm for MQ known as XL ( for eXtended Linearization ), which increases the number of equations by multiplying them with all monomials of a certain degree.

See Linearization, below, for more details.

Linearization makes it possible to use tools for studying linear systems to analyze the behavior of a nonlinear function near a given point.

According to one principle of classification, an emergent coastline is a coastline which has experienced a fall in sea level, because of either a global sea level change, or local uplift.

Psychology is not separate from the study of properties emergent from the interaction of neurons and synapses.

Hofstadter's thesis about consciousness, first expressed in Gödel, Escher, Bach ( GEB ) but also present in several of his later books, is that it is an emergent consequence of seething lower-level activity in the brain.

The nature of connections in ecological communities cannot be explained by knowing the details of each species in isolation, because the emergent pattern is neither revealed nor predicted until the ecosystem is studied as an integrated whole.

There is an emergent homeostasis or homeorhesis in the structure of the nest that regulates, maintains and defends the physiology of the entire colony.

The Gaia hypothesis states that there is an emergent feedback loop generated by the metabolism of living organisms that maintains the temperature of the Earth and atmospheric conditions within a narrow self-regulating range of tolerance.

As a result, the dichotomy between " evangelical " and " mainline " denominations is increasingly complex, particularly with such innovations as the " emergent church " movement.

A consequence of this structure is fractals may have emergent properties ( related to the next criterion in this list ).

This criticism of economic growth is echoed by his intellectual heirs in the now emergent field of ecological economics.

In a free market, the system of prices is the emergent result of a vast number of voluntary transactions, rather than of political decrees as in a controlled market.

The organic metaphor is thus very appropriate: biological organisms seem to have emergent properties which cannot be found anywhere in their individual parts.

It is composed of the emergent coral rubble spits and all waters out to.

Pasteur demonstrated fermentation is caused by the growth of micro-organisms, and the emergent growth of bacteria in nutrient broths is not due to spontaneous generation, but rather to biogenesis ( Omne vivum ex vivo " all life is from life ").

A new and emergent behavior called Bufferbloat can also cause increased latency that is an order of magnitude or more.

Persons have been said to engage in militia in response to a " call up " by any person aware of the emergent threat requiring the response, and thence to be in " called up " status until the emergency is past.

During a period ( the 1970s and 80s ) when nativist Transformational Generative Grammar was becoming dominant in Linguistics, and called " Standard Theory ", linguists who questioned these tenets were disenfranchised and Cognitive Linguistics and Computational Psycholinguistics were born and the more general term Emergentism developed for the anti-nativist view that language is emergent from more fundamental cognitive processes that are not specifically linguistic in nature.

It is ranked 30th in the world in terms of GDP ( PPP ) as of 2011, and its emergent, though currently underperforming manufacturing sector is the third-largest on the continent, producing a large proportion of goods and services for the West African region.

Netwar is a term developed by RAND researchers John Arquilla and David Ronfeldt to describe an emergent form of low intensity conflict, crime, and activism waged by social networked actors.

An often stated ambition of systems biology is the modeling and discovery of emergent properties, properties of a system whose theoretical description is only possible using techniques which fall under the remit of systems biology.

The field, then, is ripe for new Southerners to step to the fore and write of this twentieth-century phenomenon, the Southern Yankeefication: the new urban economy, the city-dweller, the pains of transition, the labor problems ; ;

Both the extent to which this is true and the limits of the field of perceptual skill involved should be acknowledged.

`` It would be a disgrace, and, as I have already said to the people of Tennessee, if Hearst is nominated, we may as well pen a dispatch, and send it back from the field of battle: ' All is lost, including our honor ' ''.

Some historians have found his point of view not to their taste, others have complained that he makes the Tory tradition appear `` contemptible rather than intelligible '', while a sympathetic critic has remarked that the `` intricate interplay of social dynamics and political activity of which, at times, politicians are the ignorant marionettes is not a field for the exercise of his talents ''.

One's daily work becomes sacred, since it is performed in the field of influence of the moral law, dealing as it does with people as well as with matter and energy.

To obey the moral law is just ordinary common sense, applied to a neglected field.

Such is the field for exercising our reverence.

In the field of political values, it is certainly true that students are not radical, not rebels against their parents or their peers.

Although because of the important achievements of nineteenth century scholars in the field of textual criticism the advance is not so striking as it was in the case of archaeology and place-names, the editorial principles laid down by Stevenson in his great edition of Asser and in his Crawford Charters were a distinct improvement upon those of his predecessors and remain unimproved upon today.

For it is their catastrophic concept of the Anglo-Saxon invasions rather than Kemble's gradualist approach which dominates the field.

The national average is more than $4 and that figure is considered by experts in the mental health field to be too low.

This is one of the most constructive suggestions made in this critical field in years, and I certainly hope it sparks some action.

A small business is defined as one which is independently owned and operated and which is not dominant in its field.

The Office of Foreign and Domestic Commerce is also active in the field of international trade, assisting Rhode Island firms in developing and enlarging markets abroad.

We do not favor one field over another: we think that all inquiry, all scholarly and artistic creation, is good -- provided only that it contributes to a sense and understanding of the true ends of life, as all first-rate scholarship and artistic creation does.

Recently added is the Brown & Sharpe turret drilling machine which introduces the company to an entirely new field of tool development.

Under the auspices of the Women's Recreation Association, interclass competition is organized in badminton, basketball, field hockey, golf, tennis, and swimming.

Mossberg's latest contribution to the field is the Model 500 ( from $73.50 ) ; ;

It is usually helpful to make a sketch map in the field, showing the size and location of the features of interest and to take photographs at the site.

Your competition is now proportionately greater -- you are competing not only against manufacturers in the same field but also against a vast array of manufacturers of other appealing consumer products.

New to the field is a duplex type butyrate laminate in which the two sheets of the laminate are of different color.