Much of the work on computer music has drawn on the relationship between music theory and mathematics.

Much of mathematics is grounded in the study of equivalences, and order relations.

Much of ML code is similar to mathematics in facility and syntax.

Much constructive mathematics uses intuitionistic logic, which is essentially classical logic without the law of the excluded middle which states that for any proposition, either that proposition is true, or its negation is.

Much later, after Ulam's death, another friend, Gian-Carlo Rota, asserted that the attack did change Ulam's personality ; afterwards, he turned from rigorous pure mathematics to more speculative conjectures concerning the application of mathematics to physics and biology.

Much of human experience does not fall under science or mathematics but under the philosophy of value, including ethics, aesthetics, and political philosophy.

Much of the vocabulary they invented related to chemistry, physics, mathematics or grammar is still in use.

Much of the impetus behind campaign finance reform in the United States and in other countries is an attempt to prevent economic power being used to take political power.

Much of the iron and bronze was reforged from the various weapons Demetrius's army left behind, and the abandoned second siege tower may have been used for scaffolding around the lower levels during construction.

Much of the bookshop's recent history was tied up with Vernon Richards, who was the driving force behind both it and Freedom Newspaper from the 1930s until late in the 90s.

On July 24 the album premiered on the Canadian music channel Much More Music along with a behind the scenes special.

Much later in his career he showed that he could still mount a credible challenge ; he took a share of third place in 1969 ( behind Petrosian and Polugaevsky ) and in 1971, was joint runner-up with Tal, after Savon.

Much of the graffiti covering the toilets was preserved, along with some playbills from the club's 10th anniversary shows in 1983 that were discovered behind a wall.

Much of his work for BP was behind the scenes, where he maintained and implemented advanced statistics for the website.

Since then, the Citytv signage at the front building was replaced with an eTalk logo ; the Citytv logos on the landmark mural behind the Virgin Mobile at Much store were replaced and overhauled with various logos of Bell Media's co-owned television channels, as well as the logo for CTV's entertainment news program eTalk shown one dish ; and the main Citytv signage on the building's east façade was replaced with a CTV logo and a private balcony, looking out from the company's boardroom.

Much of the spleen's protective roles can be maintained if a small amount of spleen can be left behind.

Much of this early pollution lies trapped in sediments behind historic dams on the river and continues to affect the ecosystem today.

Much of the aftermath left behind from World War II is still evident in Kiska.

Much like a spider, the body of a Solifugid has two tagmata, an opisthosoma ( abdomen ) behind the prosoma ( that is in effect a combined head and thorax ).

Much of the old building has been retained, but an extensive new wing has been built behind it to house the Business School.

Much of this is behind camera.

Much of the façade is hidden behind residential and commercial building.

Much of that length is devoted to justifying the authority behind the new constitution — that the new constitution was created under the authority of the constitution of 1835, and that the 1835 constitution was itself created under the authority of the original 1796 convention.

Much of the interface and concepts behind use are the same of those of AutoCAD.

Much of the game is played with the main characters always one step behind their adventurous father.

Much of the stock they left behind was destroyed in a gale the next month.

Much of the population of the far north of Scotland is concentrated in coastal areas and, in places, the railway is almost on the shore, the track running along the raised beaches left behind as land rebounded following the end of the last Ice Age.

Much of the tour takes place beyond public reach, behind closed off limit areas.

Much of the emotion behind the debate arose because the technical criticisms of marginal productivity theory were connected to wider arguments with ideological implications.

Much later in the 90 ’ s, Father Eugene Carrella commissioned the addition of the manger, which replicates the marble columns of the main altar and the green marble facade behind the altar.

Much of its material must have come to its compiler / s from other hands, the letters it contains vary in apparent authenticity, and the documentary sources behind it are no longer extant except, in adapted form, parts of John Knox's account of his time in Frankfurt.

Much information has been gathered relative to quantitative sampling and assesment techniques.

Much of the available information comes not from the Federal government but from an exchange of experiences among states.

Much of the information available is taken from visitation records.

Much military information is not made publicly available, including budget information, the names of the general officers and the military ’ s size ( which is considered a state secret ).

Much of the development during the quantitative revolution is now apparent in the use of Geographic information systems ; the use of statistics, spatial modelling and positivist approaches is still important to many branches of human geography.

Much of the information that others subsequently reported about him is just as fanciful and some of it is vindictive or blatantly absurd, yet it is interesting and therefore worth reporting.

Much of the information in this article is adapted from the CIA World Factbook.

Much of the extant information about the Passion of Osiris can be found on the Ikhernofret Stela at Abydos erected in the 12th Dynasty by Ikhernofret ( also I-Kher-Nefert ), possibly a priest of Osiris or other official ( the titles of Ikhernofret are described in his stela from Abydos ) during the reign of Senwosret III ( Pharaoh Sesostris, about 1875 BC ).

Much of the technical challenge in phenetics revolves around balancing the loss of information in such a reduction against the ease of interpreting the resulting graphs.

Much of statistics is non-mathematical: ensuring that data collection is undertaken in a way that allows valid conclusions to be drawn ; coding and archiving of data so that information is retained and made useful for international comparisons of official statistics ; reporting of results and summarised data ( tables and graphs ) in ways that are comprehensible to those who need to make use of them ; implementing procedures that ensure the privacy of census information.

Much less is known on how the brain accomplishes short-term maintenance and goal-directed manipulation of information.

Much of the biographical information about Plotinus comes from Porphyry's preface to his edition of Plotinus ' Enneads.

Much of such information was usually known to be deficient, especially during the period following puberty when curiosity of sexual matters was the most acute.

Much of the historical information regarding Taiwan's aborigines was collected by these regimes in the form of administrative reports and gazettes as part of greater " civilizing " projects.

Much of the surviving information about the Scythians comes from the Greek historian Herodotus ( c. 440 BC ) in his Histories and Ovid in his poem of exile Epistulae ex Ponto, and archaeologically from the exquisite goldwork found in Scythian burial mounds in Ukraine and Southern Russia.

Much additional basic descriptive and epidemiologic information is still unknown.

* Much of the information in this article has been translated from German Wikipedia.

Much of the above information comes from Landnámabók ( Book of Settlement ), written some three centuries after the settlement.

Much of the information we have gathered about the Mausoleum and its structure has come from a Roman historian Pliny.

" Much of the pro-war faction's information came from INC, even though " most Iraq hands with long experience in dealing with that country's tumultuous politics consider the INC's intelligence-gathering abilities to be nearly nil.

Much of what proceeded after the first shots were fired in the plaza remained ill defined for decades after 1968 ; however, much has been corroborated by since released information from American and Mexican government sources.

Much of the information on the Greek plants may have come from his own observations, as he is known to have travelled throughout Greece, and to have had a botanical garden of his own ; but the works also profit from the reports on plants of Asia brought back from those who followed Alexander the Great: