According to this definition, supplemented with the constancy of the speed of light, inertial frames of reference transform among themselves according to the Poincaré group of symmetry transformations, of which the Lorentz transformations are a subgroup.

According to some definitions, the term " Lorentz force " refers specifically to the formula for the magnetic force, with the total electromagnetic force ( including the electric force ) given some other ( nonstandard ) name.

According to Lorentz, the Krajniacki dialect most probably was originally a part of the Polish language.

According to the representation theory of the Lorentz group, these quantities are built out of scalars, four-vectors, four-tensors, and spinors.

According to special relativity, all Lorentz observers watching a particle move will compute the same value for the quantity

According to general representation theory of Lie groups, one first looks for the representations of the complexification of the Lie algebra of the Lorentz group.

According to the theories of Fresnel and Lorentz a relative motion to an immobile ether had to be determined by this experiment, however, the result was negative.

According to him, this extension of the electron theories of Lorentz and Larmor led to " the physical impossibility to demonstrate the translational motion of the earth ".

According to this doctrine, the universe was ruled by Heaven, T'ien -- as a natural force, or in the personification of a Supreme Sky-god -- governing all things by means of a process called the Tao, which can be roughly interpreted as `` the Order of the Universe '' or `` the Universal Way ''.

According to Xenophon, Agesilaus, in order to gain money for prosecuting the war, supported the satrap Ariobarzanes II in his revolt against Artaxerxes II in 364 BC ( Revolt of the Satraps ), and in 361 BC he went to Egypt at the head of a mercenary force to aid the king Nectanebo I and his regent Teos against Persia.

According to Gildas, Ambrosius organised the survivors into an armed force and achieved the first military victory over the Saxon invaders.

According to the standard modern text on the work, Lamar Ronald Lacey's The Myth of Aktaion: Literary and Iconographic Studies, the most likely original version of the myth is that Actaeon was the hunting companion of the goddess who, seeing her naked in her sacred spring, attempts to force himself on her.

According to the document the military of the Republic of Bulgaria should include two mechanized brigades, four regiments ( Logistics, Artillery, Engineering, SpecOps ), four battalions ( Reconnaissance, Mechanized, NBC, PsyOps ) in the Land Forces ; Fighter base, helicopter base, SAM air defense brigade and Air force training base in the Air Force ; and two naval bases in the Navy.

According to Tacitus, he amassed a force including his own Legio XIV Gemina, some vexillationes ( detachments ) of the XX Valeria Victrix, and any available auxiliaries.

According to the concept of vitalism, organic matter was endowed with a " vital force " and distinguished from inorganic materials.

According to the myth, cattle are slow-moving, slow-witted and weak-legged, and can easily be pushed over without much force, both because they have a high center of gravity, and because they sleep standing.

According to Hailsham, a former chairman of the British Conservative Party, " Conservatism is not so much a philosophy as an attitude, a constant force, performing a timeless function in the development of a free society, and corresponding to a deep and permanent requirement of human nature itself.

According to biographer Ray Spangenburg, these early years as Sagan tried to understand the mysteries of the planets, became a " driving force in his life, a continual spark to his intellect, and a quest that would never be forgotten.

According to Lactantius, he came armed with plans to reconstitute the Tetrarchy, force Diocletian to step down, and fill the Imperial office with men compliant to his will.

According to the Peterson Institute for International Economics and other proponents of demographic structural approach ( cliodynamics ), the basic problem Egypt has is unemployment driven by a demographic youth bulge: with the number of new people entering the job force at about 4 % a year, unemployment in Egypt is almost 10 times as high for college graduates as it is for people who have gone through elementary school, particularly educated urban youth, who are precisely those people that were seen out in the streets during 2011 Egyptian revolution.

According to a controversial essay titled " The Death of Environmentalism " ( Michael Shellenberger and Ted Nordhaus, 2004 ) American environmentalism has been remarkably successful in protecting the air, water, and large stretches of wilderness in North America and Europe, but these environmentalists have stagnated as a vital force for cultural and political change.

According to the regulation in force in 2010 this obligation has to be met within three months after the start of its activities in Spain.

According to Klein and Ralston, the merging of companies into giant corporations or the privatization of government-run industry and national assets often result in monopolies ( or oligopolies ) requiring government intervention to force competition and reasonable prices.

According to Michel Samaha, Lebanon ’ s minister of information, Hezbollah is seen as a legitimate resistance organization that has defended its land against an Israeli occupying force and has consistently stood up to the Israeli army.

" According to the BBC, Verity Linn's " diary mentioned the teachings of self-proclaimed prophet Jasmuheen who believes people can draw nourishment from the ' divine life force in the form of liquid light '.

According to well-known teacher and translator Eknath Easwaran, kundalini means " the coiled power ," a force which ordinarily rests at the base of the spine, described as being coiled there like a serpent.

According to a modern history of the regiment, the idea for creating this unique force was proposed by Jacques Prevost, a Swiss soldier and adventurer who was a friend of The Duke of Cumberland ( William, who was the King's second son and was Commander-in-Chief of the Forces.

According to the Military Balance published by the International Institute for Strategic Studies, the force was organized into one armored, one infantry, and one paratroop / commando brigade.

According to Newton's second law of motion, if a body of fixed mass M is subjected to a force F, its acceleration α is given by < sup > F </ sup >/< sub > M </ sub >.

According to state law a slave had to be at least thirty years old before he could be freed.

According to the 1977 constitution of the Republic of Afghanistan ( 1973 – 78 ), all Afghans are equal in rights and obligations before the law.

According to some interpretations, the concept of ahimsa as expounded in the scriptures and law books is not meant to imply pacifism ; war is seen as a normal part of life and the natural duty of the warriors.

According to Arkansas state and Federal law, a seriously mentally impaired inmate cannot be executed.

According to Blake, Disraeli believed in upholding Britain's greatness through a tough, " no nonsense " foreign policy that put Britain's interests above the " moral law " that advocated emancipation of small nations.

According to Brazilian law, BCG is given again to professionals of the health sector and to people close to patients with tuberculosis or leprosy.

According to the synoptic gospels, Christ generalised the law into two underlying principles ; The first is Hear, O Israel: The Lord our God, the Lord is one ; and you shall love the Lord your God with all your heart, and with all your soul, and with all your mind, and with all your strength.

* Entropic forces: According to the second law of thermodynamics, a system progresses to a state in which entropy is maximized.

According to Ampère's circuital law | Ampère's law, an electric current produces a magnetic field.

According to article 37, paragraph 4 of Charter of Fundamental Rights and Basic Freedoms people who do not speak Czech have the right to get an interpreter in a court of law.

According to Alan Ryan, the ideology of the original classical liberals argued against direct democracy, where law is made by majority vote by citizens, " for there is nothing in the bare idea of majority rule to show that majorities will always respect the rights of property or maintain rule of law.

According to this viewpoint, citizens are sovereign, morally autonomous beings with duties to pay taxes, obey the law, engage in business transactions, and defend the nation if it comes under attack, but are essentially passive politically, and their primary focus is on economic betterment.

According to international law a blockade is an act of war, but the Kennedy administration did not think that the USSR would be provoked to attack by a mere blockade.

According to social mores and the prevailing law, marriages, entrance into religious life and migration from one ’ s place of birth to another land required official permission from upper strata ( the lord and the council commissioner ).

According to the prevalent view, Montesquieu is regarded as the ' father ' of comparative law.

According to David, the Romano-Germanic legal systems included those countries where legal science was formulated according to Roman Law, whereas common law countries are those where law was created from the judges.

According to non-Orthodox Jews and critical historians, Jewish law too has been affected by surrounding cultures ( for example, some scholars argue that the establishment of absolute monotheism in Judaism was a reaction against the dualism of Zoroastrianism that Jews encountered when living under Persian rule ; Jews rejected polygamy during the Middle Ages, influenced by their Christian neighbors ).

According to Joseph McCabe, the council was attended by roughly 29 cardinals, 100 " learned doctors of law and divinity ," 134 abbots, and 183 bishops and archbishops.

According to Tibor R. Machan, " Without a market in which allocations can be made in obedience to the law of supply and demand, it is difficult or impossible to funnel resources with respect to actual human preferences and goals.

According to Lenz's law, the field of these electrons will oppose the magnetic field changes provided by the applied field.

According to the Greek nationality law, Greeks born abroad may transmit citizenship to their children from generation to generation indefinitely.

According to Avogadro ’ s law this volume is same for all ideal gases and if we consider ‘ n ’ moles of an ideal gas at STP, then the equation becomes