Various generalizations of the Cauchy – Schwarz inequality exist in the context of operator theory, e. g. for operator-convex functions, and operator algebras, where the domain and / or range of φ are replaced by a C *- algebra or W *- algebra.

Various generalizations of the Lie derivative play an important role in differential geometry.

Various generalizations of the Hilbert transform, such as the bilinear and trilinear Hilbert transforms are still active areas of research today.

Various generalizations and reinterpretations of the connection form were formulated subsequent to Cartan's initial work.

Various generalizations of Euler's problem are known ; these generalizations add linear and inverse cubic forces and up to five centers of force.

Various tissues can capture the chylomicrons, releasing the triglycerides to be used as a source of energy.

Various calculi that attempt to capture the theoretical properties of object-oriented programming may be derived from system F < sub ><:</ sub >.

Various methods are available to capture the value of urban trees, each designed to analyse a specific type of green space ( individual trees, parks, trees on golf courses etc .).

Various supernatural accounts of his execution, and of his escaping capture by the French authorities, are preserved in island folklore, and are widely depicted in paintings and popular art.

Various sensor technologies are used to capture physical data such as bending of fingers.

Various attempts were made to substantiate the " abstract idea " test, which suffers from abstractness itself, but eventually none of them was successful.

Various ASN. 1 encoding rules provide the transfer syntax ( a concrete representation ) of the data values whose abstract syntax is described in ASN. 1.

Various wrappers were developed by Microsoft that took over some of the more low level functions of the Windows API, and allowed applications to interact with the API in a more abstract manner.

Various LU alumni have excelled in art, fashion, movies and music, they include: Alice Baber, American abstract expressionist painter.

Various methods can be used to evaluate abstract quality, e. g. rating by readers, checklists ( not necessary in structured abstracts ), and readability measures ( such as Flesch Reading Ease ).

* Various conceptual comics, such as Le dormeur and Psychanalyse, both of which were created entirely with a single photocopied panel, while Bleu and La nouvelle pornographie are both billed as " abstract comic books ".

Various Arab and Berber tribes fought each other for varying degrees of power, some cities tried to break away and form their own state, and even members of Abd al-Rahman's family tried to wrest power from him.

Various History — for the most part preserved only in an abridged form — is Aelian's other well-known work, a miscellany of anecdotes and biographical sketches, lists, pithy maxims, and descriptions of natural wonders and strange local customs, in 14 books, with many surprises for the cultural historian and the mythographer, anecdotes about the famous Greek philosophers, poets, historians, and playwrights and myths instructively retold.

Various collections of such recipes have been published in book form in Esperanto, e. g. Internacie kuiri (“ Cooking Internationally ”) by Maria Becker-Meisberger, published by FEL ( Flemish Esperanto League ), Antwerp 1989, ISBN 90-71205-34-7, Manĝoj el sanigaj plantoj (“ Healthy Vegetable Dishes ”) by Zlata Nanić, published by BIO-ZRNO, Zagreb 2002, ISBN 953-97664-5-1.

Various factors such as low pH, high CO < sub > 2 </ sub > and high 2, 3 BPG at the level of the tissues favor the taut form, which has low oxygen affinity and releases oxygen in the tissues.

Various studies have found that, even in this corrected form, the test is less powerful for testing normality than the Shapiro – Wilk test or Anderson – Darling test.

Various nongovernmental and grassroots environmental organizations also have begun to form, some closely tied to the current government and others assuming an opposition stance.

Various methods have existed for removing the werewolf form.

Various types are used to cut and form metal, to initiate nuclear weapons, to penetrate armor, and to " complete " wells in the oil and gas industry.

Various orders of knighthood have been created ( see below ) as well as awards for military service, bravery, merit, and achievement which take the form of decorations or medals.

Various countries recognize some form of due process under customary international law.

Various algorithms can be used to choose these individual samples, depending on the exact form of the multivariate distribution: some possibilities are adaptive rejection sampling, a one-dimensional Metropolis – Hastings step, or slice sampling.

Various species, which vary greatly in size and form, can be found growing natively on every continent except Antarctica.

Various textual sources ( including his own ) would be cut literally into pieces with scissors, rearranged on a page, and pasted to form new sentences, new ideas, new stories, and new ways of thinking about words.

Various other parts were added and a stable form finally appeared in 1540.

Various islands in the Caribbean that were colonies of the United Kingdom, including Trinidad and Tobago, Barbados, Jamaica, and those on the Leeward and Windward Islands, came together to form the Federation, with its capital in Trinidad.

Various albums ( e. g. from the early State of Mind to the recent Artificial Soldier ) spell the name in compound form (" Frontline Assembly ") while the majority spell it in three words.

Various methods might form a layer or cloud of plasma around a vehicle to deflect or absorb radar, from simpler electrostatic to RF more complex laser discharges, but these may be difficult in practice.

Various letters and testimonies by captured sailors described their captivity as a form of slavery, even though Barbary Coast imprisonment was different from slavery practiced by the U. S. and European powers of the time.

Various features of this society, particularly the form of government, the existence of Alderson Drive and Langston Field technology, and the limited access to Murcheson's Eye on the other side of the Coalsack, were ideal for their purposes.

Various patterns are discernible in the form of digraphs.

Various kinds of Polish kielbasa From the top down: Biała kiełbasa ( white sausage ), Kabanos ( or ' Kabanosy ' in plural form ) ; Wiejska kiełbasa ( country sausage ) with mustard.

Character Sketches of Life, Characters, and Manners, in Various Countries ; including the Memoirs of A French Lady of Quality " was a powerfully written anti-French Revolution novel in three volumes in the form of 34 character sketches of famous politicians, royalty, generals, the wealthy, and the celebrity of the day.

Various ecclesiastical features of which the apse may form part are drawn together here:

Various " grammar frameworks " have been developed in theoretical linguistics since the mid 20th century, in particular under the influence of the idea of a " universal grammar " in the United States.

Various episodes, notably " The Sound of Drums ", also note that the TARDIS generates a perception filter to reinforce the idea that it is perfectly ordinary.

Various other ancient philosophers also questioned the idea of an objective standard of morality.

Various derivative uses of the word have sprung from the root idea of obligation, a concept involved in the notion of duty ; thus it is used in the services performed by a minister of a church, by a soldier, or by any employee or servant.

Various other conferences were held in the next 20 years at which the question came up, in which Parkes took a leading part, but in October 1884 he was blowing cold and suggesting that it would be " better to let the idea of federation mature in men's minds ", and New South Wales then stood out of the proposed federal council scheme.

Various members of the Council were rewarded with economic incentives as a result of their ' yes ' vote, and those who initially opposed the resolution were discouraged from voting ' no ' with the idea of economic penalties, particularly by the United States.

* Various episodes of popular television series such as The X-Files, Psi Factor and Judging Amy, use the idea of multiples with a hidden " killer personality ".

Various connecting threads among these varied uprisings include a concern for the " Rights of Man " and freedom of the individual ; an idea ( often predicated on John Locke or Jean-Jacques Rousseau ) of popular sovereignty ; belief in a " social contract ", which in turn was often codified in written constitutions ; a certain complex of religious convictions often associated with Deism or Voltairean agnosticism, and characterized by veneration of reason ; abhorrence of feudalism and often of monarchy itself.

Kierkegaard put it this way in his Upbuilding Discourses of 1843-1844 and in his Upbuilding Discourses in Various Spirits 1847: The idea so frequently stressed in Holy Scripture for the purpose of elevating the lowly and humbling the mighty, the idea that God does not respect the status of persons, this idea the apostle wants to bring to life in the single individual for application in his life.

* Various forms of animism, such as Japan's Shinto and African traditional religion, focus on invisible beings that represent or connect with plants, animals ( sometimes called " Animal Fathers )", or landforms ( kami ): translators usually employ the English word " spirit " when trying to express the idea of such entities.

Various individuals and schools of thought have informed the idea of the landscape as historical ecologists conceive of it.