All-the-results-of-arithmetical-algebra-which-are

All the results of arithmetical algebra which are deduced by the application of its rules, and which are general in form though particular in value, are results likewise of symbolical algebra where they are general in value as well as in form ; thus the product of and which is when and are whole numbers and therefore general in form though particular in value, will be their product likewise when and are general in value as well as in form ; the series for determined by the principles of arithmetical algebra when is any whole number, if it be exhibited in a general form, without reference to a final term, may be shown upon the same principle to the equivalent series for when is general both in form and value.

Page "George Peacock" ¶ 18

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All and results

The Lions however experienced mixed results during the New Zealand leg of the tour, as well as losing all of the tests against the All Blacks.

All these methods produce essentially similar results, even though most genetic variation has no influence over external morphology.

All results of its activities, VCheKa had either to transfer to the Investigatory Commission of Revtribunal or to dismiss a case.

All allegations were investigated by the National Electoral Board of Ethiopia in cooperation with election monitors, a process which delayed the release of the final results.

All results are in agreement with general relativity.

All legal marks will be recorded but only the longest legal jump counts towards the results.

All of the results from geometrical optics can be recovered using the techniques of Fourier optics which apply many of the same mathematical and analytical techniques used in acoustic engineering and signal processing.

All gathered data, including the experimental or environmental conditions, are expected to be documented for scrutiny and made available for peer review, allowing further experiments or studies to be conducted to confirm or falsify results.

All participating parties and international observer groups accepted the results as " free and fair.

All realities are in themselves good ; they produce bad results only incidentally ; and consequently the ultimate cause of evil is fundamentally good, as well as the objects in which evil is found.

All support a common set of benchmarks and share a common design process ; as a result, things such as aliens ( sophonts ), genetic engineering, world environments, robots, weapons, equipment, armor, vehicles, smallcraft, starships, and animals are not only consistent and compatible with each other and the game system, but also are used as test cases to ensure that results are consistent with Traveller's assumptions about such things.

All the English counties south of the River Tees and River Ribble are included, and the whole work seems to have been mostly completed by 1 August 1086, when the Anglo-Saxon Chronicle records that William received the results and that all the chief magnates swore the Salisbury Oath, a renewal of their oaths of allegiance.

All four detectors produced the same results: a statistically significant increase in the amount of nuclear emissions due to sonofusion when compared to background levels ..."

All the dowsers signed a statement agreeing this was a fair test of their abilities and that they expected a 100 percent success rate, however the results were no better than chance.

All attempts to repeat the results " failed to produce significant effects ", and thus " do not support the existence of psychic ability.

In a work titled Euclides ab Omni Naevo Vindicatus ( Euclid Freed from All Flaws ), published in 1733, Saccheri quickly discarded elliptic geometry as a possibility ( some others of Euclid's axioms must be modified for elliptic geometry to work ) and set to work proving a great number of results in hyperbolic geometry.

All in all the results of the climate change will be a loss in biodiversity, altitude shifts in species ranges and community reshuffling and, in some areas, complete loss of cloud forests.

All messages return results, so the receiver ( if present ) and arguments can be themselves the result of other messages.

All vehicles either used for training or actual racing were sold off to privateers, many kept racing with noticeable results until the early 1980s.

All of these features should be considered when comparing results obtained from different studies, with respect to both safety and efficacy.

All skepticism about his story were eased as he began to do spiritual work that created positive results for those around him.

All Saints Catholic Grade School ( Pre-K though 8th grade ) closed in June 2006 with several other Catholic schools in the Roman Catholic Diocese of Trenton due to low enrollment, after 75 years of operation, based on the results of recommendations issues in 2005 that recommended the closure to help improve diocese finances.

All these changes, the church admits, have organizationally brought about " catastrophic results ," though they believe that it is spiritually the best thing that ever happened to them.

All commonly used statins show somewhat similar results, however the newer statins, characterized by longer pharmacological half-lives and more cellular specificity, have had a better ratio of efficacy to lower adverse effect rates.

All and arithmetical

* All algebraic numbers are computable and therefore definable and arithmetical.

All and algebra

* All the powerful tools of linear algebra can be used to manipulate and understand wave functions.

All can be determined by using Boolean algebra and a truth table.

All strictly triangular matrices are nilpotent, and the set of strictly upper ( or lower ) triangular matrices forms a nilpotent Lie algebra, denoted This algebra is the derived Lie algebra of, the Lie algebra of all upper triangular matrices ; in symbols, In addition, is the Lie algebra of the Lie group of unitriangular matrices.

All these concepts prepare for linear algebra where the reflection concept is expanded.

All skew-Hermitian < var > n </ var >×< var > n </ var > matrices form the u (< var > n </ var >) Lie algebra, which corresponds to the Lie group U (< var > n </ var >).

All three spaces are complete ( they are Banach spaces ) with respect to the same norm defined by the total variation, and thus is a closed subset of, and is a closed set of for Σ the algebra of Borel sets on X.

All algorithms that work this way are referred to as Krylov subspace methods ; they are among the most successful methods currently available in numerical linear algebra.

All and which

All of her movements were careful and methodical, partaking of the stealth of a criminal who has plotted his felony for months in advance and knows exactly which step to take next in the course of the final execution of his crime.

All such imitations of negative quality have given rise to a compensatory response in the form of a heroic and highly individualistic humanism: if man can neither know nor love reality as it is, he can at least invent an artistic `` reality '' which is its own world and which can speak to man of purely personal and subjective qualities capable of being known and worthy of being loved.

All of which brings up another problem in the use of psychoanalytic insight in a literary work.

All of which makes it more imperative than ever that the biological and genetic effects of fallout be understood.

Of straight dramas, there are All The Way Home, which owes much of its poetic power to the James Agee novel, A Death In The Family ; ;

All students are invited to participate in any of the musical organizations for which they qualify.

All framing in Hotei is one-inch mahogany which, in the dressed state you buy it, is about the 13/16-inch thickness specified in the drawings.

All subsequent measurements were made on material which had been heated to 375-degrees-C for one hour.

All samplers were operated for a period of two hours except one, which was operated for four hours.

All this near tragedy, which to us borders on comedy, enables us to tell the story over and over again, always warming ourselves with a glow of complacency.

All this emphasis on Centrality and on the number 5 as a symbolic expression of the Center, which seems to have begun as far back as 400 B.C., also may conceivably have led to the development of the Five-Elements School and the subsequent efforts to fit everything into numerical categories of five.

All this works severely against the kind of cross-cultural communication for which Christian missions stand.

All modern amphibians are included in the subclass Lissamphibia, superorder Salientia, which is usually considered a clade, a group of species that have evolved from a common ancestor.

All numbers which can be obtained from the integers using a finite number of integer additions, subtractions, multiplications, divisions, and taking nth roots ( where n is a positive integer ) are algebraic.

In 1906, the Aga Khan was a founding member and first president of the All India Muslim League, a political party which pushed for the creation of an independent Muslim nation in the north west regions of South Asia, then under British colonial rule, and later established the country of Pakistan in 1947.

* All Tomorrow's Parties ( music festival ), a music festival which takes place in Great Britain

All the valuable ancient artifacts are situated in the Acropolis Museum, which resides on the southern slope of the same rock, 280 metres from the Parthenon.

Omari obtained a fake United States ID card from All Services Plus in Passaic County, New Jersey, which was in the business of selling fake documents, including another to Khalid al-Mihdhar.

All the cars established a good racing pedigree for the firm, but the DB4 was the key to establishing the company's reputation, which was cemented by the famous DB5 in 1963.

All the city's fortifications were destroyed, aside from the citadel, which was left as residence of the governor and a garrison for the emiral troops.

The Aberdare Athletic Ground was the venue of the first rugby league international between Wales and the New Zealand All Golds on New Year's Day 1908, which was won by the Welsh 9-8.

All rays which issue from O and pass through the aperture stop also pass through the entrance and exit pupils, since these are images of the aperture stop.

All of these names are recorded on a war memorial, an imposing white stone cenotaph, which stands in Oak Hill Park in the south of the town.

All colonies contain autozooids, which are responsible for feeding and excretion.

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