Danny Boyle: 28 Days Later and Slumdog Millionaire: Trance, a stylized shape-shifting thriller in which an art thief undergoes hypnosis to help him recover a misplaced painting, followed in 2013. Steve Jobs (2015) chronicles the career of the titular Apple cofounder (played by Michael Fassbender) by way of the backstage happenings at three…

mysticism: Trance: Mystical experiences can be categorized not only according to their contents but also according to the alternate states of consciousness during which they occur. For example, St. Teresa of Ávila distinguished four stages of mystical prayer. In “the prayer of simplicity,” a prayer that…

electronic dance music: London and Berlin: …Frankfurt, was the origin of trance. Trance began as hard, minimalist, and hypnotic—as on “The Age of Love (Watch Out for Stella Club Mix)” (1992), a remix by the German duo Jam & Spoon of a track by Italian producers Age of Love—but by the mid-1990s it had become the…

securitization: …sold in smaller chunks called tranches, with each tranch representing a claim to a portion of the receipts from the underlying debt instruments. Tranching gives smaller investors the opportunity to purchase such instruments and enables lenders to raise more money by selling them to a broader market.

John Coltrane was an American jazz saxophonist, bandleader, and composer, an iconic figure of 20th-century jazz. Coltrane’s first musical influence was his father, a tailor and part-time musician. John studied clarinet and alto saxophone as a youth and then moved to Philadelphia in 1943 and

Trang, town, southern Thailand, on the Malay Peninsula. Trang is an inland town on the Trang River and is a centre for rubber production. A spur links Trang and the nearby port of Kantang to the Bangkok-Singapore railway. Its airport has scheduled flights to other southern Thai towns. Pop. (2000)

zheng, Chinese plucked board zither roughly 47 inches (120 cm) long and 12 inches (30 cm) wide. Its resonator is galley-shaped, and in cross section the top is curved and the bottom flat. The strings are stretched over the surface, fastened at the left end and at the right where there are pegs for

Trani, town and archiepiscopal see, Puglia (Apulia) regione, southeastern Italy. It lies along the Adriatic Sea, northwest of Bari city. Trani originated in Roman times and flourished under the Norman and Swabian (Hohenstaufen) kings of Sicily by means of its trade with the Middle East. Its

metalwork: Italy: …of the 12th century, however, Barisano da Trani made relief door panels for churches in Astrano, in Ravello (a town near Amalfi), and in Monreale. Bronze relief doors were also made in the 12th century for S. Paolo fuori le mura in Rome and for churches in northern Italy (S.…

Xiangkhoang Plateau, dissected upland of complex geologic structure in north-central Laos. The plateau constitutes a western extension of the northern Annamite Chain; it is drained principally by the Ngum and Ngiap (Nhiêp) rivers to the south and the Khan River to the north, all of which are Mekong

tranquilizer, drug that is used to reduce anxiety, fear, tension, agitation, and related states of mental disturbance. Tranquilizers fall into two main classes, major and minor. Major tranquilizers, which are also known as antipsychotic agents, or neuroleptics, are so called because they are used

Apollo 11: … had touched down in the Sea of Tranquility, an area selected for its level and smooth terrain.

tranquilizer, drug that is used to reduce anxiety, fear, tension, agitation, and related states of mental disturbance. Tranquilizers fall into two main classes, major and minor. Major tranquilizers, which are also known as antipsychotic agents, or neuroleptics, are so called because they are used

Ignazio Silone was an Italian novelist, short-story writer, and political leader, world famous during World War II for his powerful anti-Fascist novels. Born into a rural family, Silone was educated in the town of his birth until he was 15, when an earthquake killed his mother and left the family

tranquilizer, drug that is used to reduce anxiety, fear, tension, agitation, and related states of mental disturbance. Tranquilizers fall into two main classes, major and minor. Major tranquilizers, which are also known as antipsychotic agents, or neuroleptics, are so called because they are used

Suetonius was a Roman biographer and antiquarian whose writings include De viris illustribus (“Concerning Illustrious Men”), a collection of short biographies of celebrated Roman literary figures, and De vita Caesarum (Lives of the Caesars). The latter book, seasoned with bits of gossip and scandal

Neil Young: Harvest, Rust Never Sleeps, and Harvest Moon: …punkish Re-ac-tor (1981), the proto-techno Trans (1982), which led his new record company to sue him for producing an “unrepresentative” album, and the rockabilly-flavored Everybody’s Rockin’ (1983). On Freedom (1989), he resurrected the social engagement and musical conviction of earlier triumphs such as “Ohio.” This disc marked yet another creative…

coordination compound: Substitution: The trans effect may be used for synthetic purposes; thus, the reaction of the tetrachloroplatinate(2−) ion with ammonia yields cis-diamminedichloroplatinum, whereas the reaction of the tetraammineplatinum(2+) ion with the chloride ion gives the trans isomer, trans-diamminedichloroplatinum. The reactions are shown below.

trans fat, fat produced from the industrial process of hydrogenation, in which molecular hydrogen (H2) is added to vegetable oil, thereby converting liquid fat to semisolid fat. The synthesis of hydrogenated compounds originated in the 1890s, when French chemist Paul Sabatier discovered that metal

trans fat, fat produced from the industrial process of hydrogenation, in which molecular hydrogen (H2) is added to vegetable oil, thereby converting liquid fat to semisolid fat. The synthesis of hydrogenated compounds originated in the 1890s, when French chemist Paul Sabatier discovered that metal

Amy Sherald: Exhibitions and market: Forming Liberty (2024), depicting a Black transgender woman in the pose of the Statue of Liberty, might draw negative attention from U.S. Pres. Donald Trump. His administration had been scrutinizing the Smithsonian since the president issued an executive order earlier in 2025 to remove “improper, divisive, or anti-American…

Golgi apparatus: Structure: …layers of cisternae), and “trans” (cisternae farthest from the endoplasmic reticulum). Two networks, the cis Golgi network and the trans Golgi network, which are made up of the outermost cisternae at the cis and trans faces, are responsible for the essential task of sorting proteins and lipids that are…

Trans World Airlines, Inc. (TWA), former American airline that maintained extensive routes in the United States and to Europe, the Caribbean, and the Middle East. TWA was absorbed by American Airlines in 2001. TWA was formed on July 16, 1930, in the amalgamation of divisions of Western Air Express

Ansonia Board of Education v. Philbrook: Majority opinion: …endorsed its earlier finding in Trans World Airlines, Inc. v. Hardison (1977) that an accommodation causes undue hardship for an employer if the cost of making it is more than “de minimis” (trifling).

isomerism: Cis and trans forms: For example, cis- and trans-1,2-dimethylcyclopropane are stereoisomers. (In the figure below, “bp” stands for “boiling point.”)

polyisoprene: Trans-1,4 polyisoprene: Trans-1,4 polyisoprene is the dominant isomer in gutta-percha and balata, two materials that, like natural rubber, are derived from the milky exudate of certain trees. Unlike the cis-1,4 polymer, however, the trans-1,4 polymer is highly crystalline, so balata and gutta-percha are tough, hard,…

isomerism: Cis and trans forms: …possible isomers of cis- and trans-1,4-dimethylcyclohexane. If one methyl group is in the lower-energy equatorial position, then the cis compound, with both methyl groups on the same side of the ring, can be made only by placing the second methyl group in the higher-energy axial position. In constructing the trans…

isomerism: Cis and trans forms: …are traditionally called cis-2-butene and trans-2-butene or, in slightly more modern terms, (Z)- and (E)-2-butene. The Z and E stand for the German words for “together” (zusammen) and “apart” (entgegen). In principle, cis- and trans-2-butene are conformational isomers; in theory, they could be interconverted by a simple rotation about the…

chemoreception: Primer pheromones: Queen honeybees secrete “queen substance” from their mandibular glands. When an unfertilized queen leaves the colony, queen substance acts as an olfactory attractant for males. The same compound within the colony modifies the behavior of workers, preventing them from rearing more queens, and also affects their physiology, disrupting…

Trans-Alai Range, mountain range on the frontier between Kyrgyzstan and Tajikistan. It is the most northerly range of the Pamirs and extends for about 150 miles (240 km) east-west in an unbroken chain of snow-covered peaks between the lush summer pastures of the broad Alai Valley between the Trans

Pamirs: Geology of Pamirs: It is separated from the Trans-Alai subzone by the Karakul fracture, through which flows the Kyzylsu-Surkhob-Vakhsh river system. The Trans-Alai subzone is highly complex. Its western part is a fan-shaped anticline in the centre of which emerge Jurassic deposits; radiating outward are more recent, dislocated rocks of the Early Cretaceous…

Trans-Alaska Pipeline, pipeline that connects the oil fields of Prudhoe Bay in northern Alaska, U.S., with the harbour at Valdez, 800 miles (1,300 km) to the south. The discovery of oil on Alaska’s North Slope in 1968 spurred the creation of a safe and efficient way to bring those reserves to

Trans-Alaska Pipeline, pipeline that connects the oil fields of Prudhoe Bay in northern Alaska, U.S., with the harbour at Valdez, 800 miles (1,300 km) to the south. The discovery of oil on Alaska’s North Slope in 1968 spurred the creation of a safe and efficient way to bring those reserves to

Trans-Alai Range, mountain range on the frontier between Kyrgyzstan and Tajikistan. It is the most northerly range of the Pamirs and extends for about 150 miles (240 km) east-west in an unbroken chain of snow-covered peaks between the lush summer pastures of the broad Alai Valley between the Trans

Gobi: Physiography: The Trans-Altai Gobi is situated between the eastern spurs of the Mongolian Altai and Gobi Altai mountains to the north and east, respectively, and the Bei Mountains to the south. The plain is elevated, sharp, and rugged. Alongside the plains and the isolated group of low,…

South America: The Trans-Amazonian cycle: Trans-Amazonian rocks can be subdivided into three distinct groups: orogenic belts, such as the Maroni-Itacaiúnas belt of the Amazonia craton or the Salvador-Juazeiro belt of the São Francisco; stable cover rocks, such as the Chapada Diamantina formation in Bahia or the Carajás and…

Trans-Arabian Pipeline, crude oil pipeline in southwestern Asia. It extended 1,069 miles (1,720 km) from Al-Dammām on the Persian Gulf coast of Saudi Arabia to Sidon, Lebanon, on the Mediterranean Sea. The pipeline was built by a subsidiary of the Arabian American Oil Company (Aramco) and began

Fremantle: A terminus of the Trans-Australian Railway, Fremantle is also linked by rail to the state’s chief agricultural areas. Exports include petroleum, grains, flour, wool, mineral concentrates, and refrigerated meats. The large industrial complex of Kwinana is nearby. The outer harbour is 73 square miles (190 square km) in extent,…

fumaric acid, organic compound related to maleic acid

Air Canada, airline established by the Canadian Parliament in the Trans-Canada Air Lines Act of April 10, 1937. Known for almost 28 years as Trans-Canada Air Lines, it assumed its current name on January 1, 1965. Air Canada’s headquarters are in Montreal. Initially flying a scheduled route between

Trans-Canada Highway, principal highway of Canada and the world’s longest national road. The road extends west-east between the Pacific and Atlantic coasts across the breadth of the country for 4,860 miles (7,821 km), between Victoria (Vancouver Island, British Columbia) and St. John’s

Paraguay: Roads: …bridge links Asunción to the Trans-Chaco Highway, which runs about 470 miles (760 km) northwest to the Bolivian border. Although the highway was completely paved by 2008, large sections of it were subject to rapid deterioration.

Alain Robbe-Grillet: …them L’Immortelle (1963; “The Immortal”), Trans-Europ-Express (1966), and L’Homme qui ment (1968; The Man Who Lies). His best-known work in the medium, however, is the screenplay for Alain Resnais’s film L’Année dernière à Marienbad (1961; Last Year at Marienbad). Ultimately, Robbe-Grillet’s work raises questions about the ambiguous relationship of objectivity…

Chris Burden: For Trans-fixed, perhaps his best-known work, he had his hands nailed to the back of a Volkswagen Beetle, as if he were reenacting the crucifixion of Jesus. From 1978 through 2004, Burden taught art at the University of California, Los Angeles.

Trans-Himalayas, eastward continuation of the most northerly ranges of the Himalayas in the southern part of the Tibet Autonomous Region of China. It consists of an ill-defined mountain area about 600 miles (1,000 km) long and 140 miles (225 km) wide in the center, narrowing to a 20-mile (32-km)

North America: 2.0 to 1.8 billion years ago: …province to form the bowlike Trans-Hudson orogenic belt, the crest of which underlies Hudson Bay. The zonation of the Trans-Hudson belt is typical of collision zones: granitic rocks representing the eroded roots of a continental volcanic arc occur along the Churchill province margin, the medial zone comprises relics of oceanic…

Tien Shan: Physiography: To the south the Ile Alataū (Trans-Ili) Range rises abruptly above the Ili depression to a height of 16,315 feet (4,973 metres). The successive transition of climatic zones, determined by elevation, from arid and dry steppe at lower levels to glacial at the summit, is evident on the northern…

Pakistan: The submontane plateau: …plateau has four distinct divisions—the Trans-Indus plains, the Potwar Plateau, the Salt Range, and the Sialkot region.

Newfoundland and Labrador: Transportation and telecommunications: The Trans-Labrador Highway, completed in 2009, connects southern, central, and western Labrador to the road network of Quebec.

Nebraska: Statehood and growth: …the site to host the Trans-Mississippi and International Exposition of 1898, an event that was meant to revive the country’s economy and alleviate the financial panic of the 1890s. The exposition attracted more than two million people to Omaha over a four-month period. Prosperity returned by 1900 and continued for…

Mongolia: Transportation and telecommunications: …important transportation artery is the Trans-Mongolian Railway (officially, the Ulaanbaatar Railway), which runs north-south through the central part of the country. It links Mongolia to Russia and China and provides the shortest overland route between Moscow and Beijing. The railway, built as a Mongolian-Soviet joint venture, utilizes the Russian broad-gauge…

Kuiper belt: …may represent the transition from Kuiper belt objects [KBOs] to short-period comets.) Although its existence had been assumed for decades, the Kuiper belt remained undetected until the 1990s, when the prerequisite large telescopes and sensitive light detectors became available.

Nun River: In 1965 the Trans-Niger Pipeline was completed, and oil from the Nun River fields was piped to Rumuekpe, where there is a link with the Trans-Niger line. At the turn of the 21st century, however, control of Nigeria’s oil wealth at the Nun River and elsewhere was an…

Stephen Harper: Majority government of Stephen Harper: …that Canada would join the Trans-Pacific Partnership, a series of talks designed to create a huge Asia-Pacific free-trade zone that would include Australia, Brunei, Chile, Japan, Malaysia, Mexico, New Zealand, Singapore, and the United States, among others.

Trans-Siberian Orchestra, American rock band known for its symphonic heavy metal renditions of Christmas songs and classical music. Its theatrical concerts during holiday-season tours include laser light shows, pyrotechnics, and other visual effects. Its first album, Christmas Eve and Other Stories

Trans-Siberian Railroad, the longest single rail system in the world, stretching 5,771 miles (9,288 km) across Russia between Moscow and Vladivostok. If its connection to the port station of Nakhodka is also included, the system reaches a total of 5,867 miles (9,441 km). The Trans-Siberian Railroad

Karakum Desert: Physiography: …three parts: the elevated northern Trans-Unguz Karakum; the low-lying Central Karakum; and the southeastern Karakum, through which runs a chain of salt marshes. Along the border of the Trans-Unguz and Central Karakum runs the Unguz chain of saline, isolated, eolian (wind-formed) hollows.

transuranium element: …are referred to as the transactinoids. All the transuranium elements are unstable, decaying radioactively, with half-lives that range from tens of millions of years to mere fractions of a second.

commercial transaction, in law, the core of the legal rules governing business dealings. The most common types of commercial transactions, involving such specialized areas of the law and legal instruments as sale of goods and documents of title, are discussed below. Despite variations of detail,

computer science: Information management: …of data integrity is the transaction, defined as an indivisible operation that transforms the database from one state into another. To illustrate, consider an electronic transfer of funds of $5 from bank account A to account B. The operation that deducts $5 from account A leaves the database without integrity…

transaction cost, economic losses that can result from arranging market relationships on a contractual basis. In the field of economics, the study of transaction costs originated from the use of aggregative social modeling and its underlying assumption of individuals operating under competitive

information system: Operational support and enterprise systems: Transaction processing systems support the operations through which products are designed, marketed, produced, and delivered. In larger organizations, transaction processing is frequently accomplished with large integrated systems known as enterprise systems. In this case, the information systems that support various functional units—sales and marketing, production,…

humanistic psychology: …is the technique known as transactional analysis, developed by Eric Berne. Its goal is to build a strong state of maturity by learning to recognize the “child” and “parent” aspects of personality in oneself and others.

immunity: …two types of criminal immunity—transactional immunity and use immunity. A person granted transactional immunity may not be prosecuted for any crime about which that person testifies as a result of the immunity grant. The testimony of a person granted use immunity may not be used against that person, but…

rationalism: Types and expressions of rationalism: Similarly, rationalism is opposed to transactionalism, a point of view in psychology according to which human perceptual skills are achievements, accomplished through actions performed in response to an active environment. On this view, the experimental claim is made that perception is conditioned by probability judgments formed on the basis of…

accounting: Net income: …might be called a “transactions approach” to income measurement. Ideally they recognize as income only those increases in wealth that can be substantiated from data pertaining to actual transactions that have taken place with persons outside the company. In such systems, income is measured when work is performed for…

transactions tax, multistage sales tax imposed on all business transactions, including the exchange of tangible and intangible economic goods and financial transfers such as bank deposits. It was first adopted in its modern form by Germany in 1918 when a tax levied only on commodity transfers did

Randall Robinson: …(1977) the TransAfrica Forum (now TransAfrica), an organization established to influence U.S. policies toward Africa and the Caribbean. Robinson notably called for the United States to make reparations to African Americans for the institution of slavery. He was not the first person to call for financial reparations for African Americans.…

Randall Robinson: …(1977) the TransAfrica Forum (now TransAfrica), an organization established to influence U.S. policies toward Africa and the Caribbean. Robinson notably called for the United States to make reparations to African Americans for the institution of slavery. He was not the first person to call for financial reparations for African Americans.…

Transalpine Gaul, in Roman antiquity, the land bounded by the Alps, the Mediterranean, the Pyrenees, the Atlantic, and the Rhine. It embraced what is now France and Belgium, along with parts of Germany, the Netherlands, and Switzerland. The Romans first ventured into Transalpine Gaul in 121 bce to

Transamazonian highway, system of paved and unpaved roads in Brazil that is designed to facilitate settlement and exploitation of the vast underpopulated Amazon River Basin. The system consists of several major parts. A 3,400-mile (5,100-kilometre) east-west segment extends from Recife, on the

Transamerica Corporation, major American diversified financial-services corporation. Headquarters were formerly in the Transamerica Pyramid building in San Francisco. In July 1999 Transamerica was acquired by Aegon NV, an insurance company in the Netherlands. The company, incorporated in 1928,

Transamerica Pyramid, skyscraper in San Francisco that was designed by architect William Pereira and completed in 1972. It served as the headquarters of the Transamerica Corporation until 1999. Considered a San Francisco landmark, the Transamerica Pyramid was originally a building of much ridicule

transaminase, any of a group of enzymes that catalyze the transfer of the amino group (―NH2) of an amino acid to a carbonyl compound, commonly an a-keto acid (an acid with the general formula RCOCOOH). The liver, for example, contains specific transaminases for the transfer of an amino group from

Transantarctic Mountains, mountain system subdividing the Antarctic continent into an eastern (East Antarctica) and a western (West Antarctica) region. The Transantarctic Mountains stretch for more than 2,000 miles (3,200 km) from Victoria Land to the shores of the Weddell Sea. Rising to 14,856

James Wong Howe: In Transatlantic (1931) Howe pioneered in using a wide-angle lens, deep focus, and ceilinged sets to replicate shipboard claustrophobia. He was one of the first cameramen to use a hand-held camera. He shot the boxing scenes in Body and Soul (1947) while being pushed on roller…

Wilfrid Sheed: …novels included The Hack (1963), Transatlantic Blues (1978), and The Boys of Winter (1987). Among his nonfiction books are Frank and Maisie: A Memoir with Parents (1985), the biographies Muhammad Ali (1975) and Clare Boothe Luce (1982), the essay collections The Good Word & Other Words (1978) and

telephone: Undersea cable: The first transatlantic cable was laid in 1956 between Canada and Scotland—specifically, between Clarenville, Newfoundland, Canada, and Oban, Scotland, a distance of 3,584 km (2,226 miles). This system made use of two coaxial cables, one for each direction, and used analog FDM to carry 36 two-way voice…

Alfred Hitchcock: The Hollywood years: Rebecca to Dial M for Murder: …formed his own production company, Transatlantic Pictures, which would make films in America and England. Its first film was also his first color film, Rope (1948), which was based on the sensational 1924 Leopold-Loeb murder case. Jimmy Stewart starred as the vainglorious protagonist, a former professor whose dangerously amoral philosophizing…

Henry James: Career—first phase: …his art and his passions; Transatlantic Sketches, his first collection of travel writings; and a collection of tales. With these three substantial books, he inaugurated a career that saw about 100 volumes through the press during the next 40 years.

transatlantic slave trade, segment of the global slave trade that transported between 10 million and 12 million enslaved Africans across the Atlantic Ocean to the Americas from the 16th to the 19th century. It was the second of three stages of the so-called triangular trade, in which arms,

Death Cab for Cutie: …Cab for Cutie’s next album, Transatlanticism (2003), refers to the distances that had separated the band members during the album’s preparation. The success of Transatlanticism, songs from which were featured on the 2003–07 television series The O.C., led the band to sign with Atlantic Records in 2005. Plans, the group’s…

thoracic outlet syndrome: The other is the transaxillary approach, which is made by an incision in the armpit. Transaxillary operations are ideal for operating near the lower brachial plexus. Surgery for TOS is controversial, in part because of the high potential for complications such as nerve or vascular injury. Even after surgical…

Zabaykalye, kray (territory) in Siberia, Russia. The territory was created in 2008 by the merger of the former oblast (region) of Chita with the former autonomous okrug (district) of Agin Buryat. The name of the territory means “east of Lake Baikal.” Although Zabaykalye and Lake Baikal are not

Ukraine: Transcarpathia: Lying south of the Carpathian Mountains, Transcarpathia was long isolated, both geographically and politically, from other ethnically Ukrainian lands. A domain of Kyivan Rus, after 1015 Transcarpathia was absorbed by Hungary, of which it remained a part for almost a millennium. With Hungary, it…

Turkmenistan: Turkmen tribes and Russian invasion: …1881 this district became the Transcaspian province, which in 1899 was made part of the governorate-general of Turkistan. There was fierce resistance to Russian encroachment, but this was finally broken by Gen. Mikhail Dmitriyevich Skobelev at the Battle of Gök-Tepe (now Gökdepe) in 1881. The Turkmens took an active part…

Turkmen: These groups are called the Transcaspian Turkmen. Pockets of Turkmen are found in northern Iraq and Syria. Smaller groups live in central Turkey, where they have experienced minority discrimination, especially after 1958.

Transcaucasia, small but densely populated region to the south of the Caucasus Mountains. It includes three independent states: Georgia in the northwest, Azerbaijan in the east, and Armenia, situated largely on a high mountainous plateau south of Georgia and west of Azerbaijan. Together these

history of Transcaucasia, history of the region from prehistoric times to the present. Food-gathering cultures of Mesolithic type, as represented by discoveries near Nalchik (Russia) in the central Caucasus, continued in this region until quite late. They were replaced in the later part of the 3rd

religious experience: The self and the other: …interpretation of the divine are transcendence and immanence; each is meant to express the relation between the divine and finite realities. Transcendence means going beyond a limit or surpassing a boundary; immanence means remaining within or existing within the confines of a limit. The divine is said to transcend humanity…

Johnny Depp: Later films: …artificial-intelligence researcher in the thriller Transcendence, a detective in the horror film Tusk, and a wolf in the cinematic adaptation of Sondheim’s musical fairy tale Into the Woods. In 2015 Depp evinced a talent for the farcical as the title character in the comic spy caper Mortdecai before exuding menace…

Ray Kurzweil: Transcendent Man (2009), a documentary, chronicles Kurzweil’s life and features interviews with both supporters and detractors of his predictions.

Aleksandr Osipovich Gelfond: …Transtsendentnye i algebraicheskie chisla (1952; Transcendental and Algebraic Numbers). In Ischislenie konechnykh raznostey (1952; “Calculus of Finite Differences”), he summarized his approximation and interpolation studies.

transcendental argument, in philosophy, a form of argument that is supposed to proceed from a fact to the necessary conditions of its possibility. A transcendental argument is simply a form of deduction, with the typical pattern: q is true only if p is true; q is true; therefore, p is true. As this

transcendental ego, the self that is necessary in order for there to be a unified empirical self-consciousness. For Immanuel Kant, it synthesizes sensations according to the categories of the understanding. Nothing can be known of this self, because it is a condition, not an object, of knowledge.

mathematics: Newton and Leibniz: …of his calculus to investigate transcendental curves, the very class of “mechanical” objects Descartes had believed lay beyond the power of analysis, and derived a simple analytic formula for the cycloid.

Transcendental Études, series of 12 musical études by Franz Liszt, published in their final form in the early 1850s. They are highly varied and technically demanding, and they exhibit little of the sense of overall structure that someone such as Beethoven would have employed. These energetic études

transcendental function, In mathematics, a function not expressible as a finite combination of the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extracting a root. Examples include the functions log x, sin x, cos x, ex and any functions containing

transcendental idealism, term applied to the epistemology of the 18th-century German philosopher Immanuel Kant, who held that the human self, or transcendental ego, constructs knowledge out of sense impressions and from universal concepts called categories that it imposes upon them. Kant’s

Transcendental Meditation, technique of meditation in which practitioners mentally repeat a special Sanskrit word or phrase (mantra) with the aim of achieving a state of inner peacefulness and bodily calm. The technique was taught by the Hindu monk Swami Brahmananda Saraswati, also known as Guru