By eliminating ρ and J, using Maxwell's equations, and manipulating using the theorems of vector calculus, this form of the equation can be used to derive the Maxwell stress tensor σ, in turn this can be combined with the Poynting vector S to obtain the electromagnetic stress-energy tensor T used in general relativity.

By manipulating space in this way, Voidhawks can open wormholes and jump long distances ( many light years ) instantaneously.

By manipulating food's taste, sugar and fat content, and directing their advertising to children, the suit argued that the company purposely misleads the public about the nutritional value of its product.

By juxtaposing, usurping and manipulating images and ideas in surprising ways, a conceit invites the reader into a more sophisticated understanding of an object of comparison.

By damaging, or manipulating, specific areas of the brain repeatedly under controlled conditions ( e. g. in monkeys ) and reliably obtaining the same results in measures of mental state and abilities, neuroscientists have shown that the relation between damage to the brain and mental deterioration is likely causal.

By 1997, search engines recognized that webmasters were making efforts to rank well in their search engines, and that some webmasters were even manipulating their rankings in search results by stuffing pages with excessive or irrelevant keywords.

By manipulating the appearance of images through what some called " ennobling processes ", such as gum or bromoil printing, pictorialists were able to create unique photographs that were sometimes mistaken for drawings or lithographs.

By manipulating the mass media, Phibulsonggram supported fascism and nationalism.

By manipulating the magnetic lenses of the microscope, the diffraction pattern may be observed by projecting it onto the screen instead of the image.

By manipulating the input power into the two ends of the fiber, there will be an increase of a " optical stretching " that can be used to measure viscoelastic properties of cells, with sensitivity sufficient to distinguish between different individual cytoskeletal phenotypes.

By 1977, however, the same allegations that had been made against Morosi in the political world were being made in the alternative lifestyle movement: specifically, that she was manipulating Cairns, and that her husband was manipulating both of them for financial gain.

By manipulating the VGA's control registers the programmer can decide how some or all of these 4 planes will be affected by each write or read operation.

By manipulating Westminster Council's public housing stock, the fraudsters were able to move voters more likely to vote for their electoral rivals from marginal wards to the wards that they were going to lose anyway.

By manipulating the culture ( values and mores ) of the society, the ruling class can intellectually dominate the other social classes with an imposed worldview that ideologically justifies the social, political, and economic status quo as natural and normal, inevitable and perpetual.

By manipulating this non-conductive layer, p – n junctions are commonly used as diodes: circuit elements that allow a flow of electricity in one direction but not in the other ( opposite ) direction.

By gathering clues and manipulating the environment, the player solves thematically linked puzzles.

By manipulating his blood to form words, he asks Zatanna to consign his soul to the ' abyss ', a realm Hell cannot affect.

By manipulating the brain in this way, Emergent managers induce obsession with a single idea or specialty, which they call Focus, essentially turning people into brilliant appliances.

By creating and manipulating crises, such as by suddenly raising interest rates, poorer nations can be forced into bankruptcy, and agreeing to such deals like that of the structural adjustment programs can yield more damages to those nations.

By interleaving independent instructions between the memory fetch instruction and the instructions manipulating the fetched operand, the time occupied by the memory fetch could be used for other computation.

By manipulating Oscar's traction device, the vengeful Mimi crippled Oscar, so that he became a paraplegic.

By manipulating the franchise, the government obtained progressively more conservative, but less representative, Dumas.

By manipulating the Mafia's rules and eliminating rivals, the Corleonesi came to completely dominate the Commission.

By the end of that decade, calculator prices had reduced to a point where a basic calculator was affordable to most and they became common in schools.

By the late twentieth century, Chianti was often associated with basic Chianti sold in a squat bottle enclosed in a straw basket, called a fiasco.

By the 1930s, Ben Duncan and others popularized streamlined trap kits leading to a basic four piece drum set standard: bass, snare, tom-tom, and floor tom.

By design, the 286 could not revert from protected mode to the basic 8086-compatible " real mode " without a hardware-initiated reset.

By this point Kenilworth Castle consisted of the great keep, the inner bailey wall, a basic causeway across the smaller lake that preceded the creation of the Great Mere, and the local chase for hunting.

By the middle of the 19th century, the Leyden jar had become common enough for writers to assume their readers knew of and understood its basic operation.

By using discrete unit-volume droplets, a microfluidic function can be reduced to a set of repeated basic operations, i. e., moving one unit of fluid over one unit of

By discovering diatomic gases, Avogadro completed the basic atomic theory, allowing the correct molecular formulae of most known compounds — as well as the correct weights of atoms — to be deduced and categorized in a consistent manner.

By around the 5th century BC, people of the Dong Son culture, who lived in what is now Vietnam, had mastered basic metal working.

By attaching a resonant chamber to the basic whistle, it may be tuned to a particular note and made louder.

By 1776, the position of the British Secretary at War was a sophisticated managerial role, but the duties in 1661 to 1666 of England's first Secretary at War, Sir William Clarke, were more basic ones of literally handling the secretarial duties of managing official correspondence, memoranda, military orders, and financial accounts.

By the time the human reaches adulthood, the body consists of close to 100 trillion cells, the basic unit of life.

:" By May 1928, basic principles of guerilla warfare, simple in nature and suited to the conditions of the time, had already been evolved ....

By this time, however, Cray's own designs, like the Cray-1, were using the same basic design techniques as the STAR, but were computing much faster.

By separating a site into these basic, discrete units, archaeologists are able to create a chronology for activity on a site and describe and interpret it.

By using basic colors and the original sound effects, effort was put forth to capture the look and feel of classic Disney.

By contrast, Yahtzee needs only one cup and set of dice regardless of the number of players ( the basic Yahtzee game does have other practical limitations ).

By 2001, Disney Channel was available to approximately 70 million cable and satellite subscribers, largely consisting of those who already received the channel via a basic tier as well at the remnants of its pay subscriber base.

By the time the Soviet Union was dissolved in 1991 and the Soviet space station program was concluded, it had seen space station technology evolve from basic, engineering development stage, single-docking port stations to complex, multi-ported long-term orbital outposts with impressive scientific capabilities, whose technological legacy continues to the present day.

By the end of 1941, Camp Lee was the center of both basic and advanced training of Quartermaster personnel and held this position throughout the war.

By the late 1970s, stress had become the medical area of greatest concern to the general population, and more basic research was called for to better address the issue.

This variant of the Burnside problem can also be stated in terms of certain universal groups with m generators and exponent n. By basic results of group theory, the intersection of two subgroups of finite index in any group is itself a subgroup of finite index.

By the early 1970s the basic concept had been well developed, and the hovercraft had found a number of niche roles where its combination of features were advantageous.

By the 1230s, Constantinople-even with its drastically reduced population-was facing a major shortage of basic foodstuffs.