Independently, Adolf Hurwitz analyzed system stability using differential equations in 1877, resulting in what is now known as the Routh – Hurwitz theorem.

Independently, Georges Lemaître derived in 1927 the equations of an expanding universe from the General Relativity equations.

: * Independently operated in the Catholic tradition.

This was the deployment of the Multiple Independently targetable Reentry Vehicle ( MIRV ) system, allowing a single ICBM to deliver as many as ten separate warheads at a time.

Independently of Stone, the Campbell wing of the movement was launched when Thomas Campbell published the Declaration and Address of the Christian Association of Washington, in 1809.

Independently from Ibn al-Nafis, Michael Servetus rediscovered the pulmonary circulation, but this discovery did not reach the public cause it was written down for the first time in the " Manuscript of Paris " in 1546, and later published in the theological work which he paid with his life in 1553.

Independently and at the same time, superconductivity phenomenon was explained by Nikolay Bogoliubov by means of the so-called Bogoliubov transformations.

Independently, the cardinal-nephew of Pope Adrian IV, Cardinal Boso intended to extend the Liber Pontificalis from where it left off with Stephen V, although his work was only published posthumously as the Gesta Romanorum Pontificum alongside the Liber Censuum of Pope Honorius III.

Independently from Johannes Nicolaus Brønsted he has developed the Brønsted – Lowry acid – base theory and was as a founder-member and president ( 1928 – 1930 ) of the Faraday Society.

Independently, the superconductivity phenomenon was explained by Nikolay Bogolyubov.

Independently from Ibn Al-Nafis, Michael Servetus identified pulmonary circulation, but this discovery did not reach the public because it was written down for the first time in the Manuscript of Paris in 1546.

Independently, substantial work in the field was carried out by the Shanghai-born American physicists An Wang and Way-Dong Woo, who created the pulse transfer controlling device in 1949.

Independently produced by Jeremy Thomas, it was directed by Bertolucci and released in 1987 by Columbia Pictures.

Independently from each other, compound interest was studied and probability theory emerged as a well understood mathematical discipline.

Independently from TV IV another community effort has begun to rebuild what was lost through the TVTome acquisition.

Independently of this division, Serbia was further divided into 29 districts ( okrug ) and the city of Belgrade.

Independently, the discovery of " an invisible, antagonistic microbe of the dysentery bacillus " by d ' Herelle was announced on September 3, 1917.

Independently, it was later found by Vincent Wisniewski on August 1, and Alexis Bouvard on August 2 the same year.

Independently produced, this first album's recording quality was mediocre, and the band would release new recorded versions of a few of these songs on later albums.

The Aerocar IMP ( for Independently Made Plane ) was an unconventional light aircraft designed by Moulton Taylor and marketed for homebuilding.

Independently, she released two compilations of songs from her back catalog: Concentrated is a selection of " greatest hits " with a few oddities ( such as the Underdog remix of " Lovesick "); Rare, Unusual or Just Bad Songs, however, is composed entirely of rarities ( like " Breathe Acrost Texas ", which was omitted from the reissue of Happiness ) and tracks that had never been available before, and each copy came with an insert painted by Germano herself.

Independently recorded and distributed, the EP was made available exclusively through The Aquabats ' website and concerts.

Independently of the possible succession, the Aremo was quite powerful in his own right.

Independently, in the same year, the BBC hired screenwriter Maggie Wadey to adapt and finish the novel for a television serial adaptation, which was produced by the BBC and American PBS broadcaster WGBH, and screened on BBC One in the UK and in the Masterpiece Theatre series in the United States, airing in 1995.

Independently of his acting, throughout the 1990s, Simm was a founding member, songwriter and guitarist with the rock band Magic Alex ( named after the Beatles self-styled electronics wizard " Magic Alex " Mardas ).

Independently of the Hollywood Conference, which was attended by Jo Vallentine, the then independent Peace Senator for Western Australia, Paul Llewellyn, Nadine Lapthorne and Kim Herbert had independently registered " The Green Party " as a name for a political party.

Independently of Nambu and Susskind, he was the first to propose that the Veneziano model was actually a theory of strings and this is why he is considered among the fathers of string theory.

Independently, the Chinese developed their own advanced water clocks （ 水鐘 ） in 725 A. D., passing their ideas on to Korea and Japan.

Independently and contemporaneously, a 19-year-old American student named Robert Lee Moore published an equivalent set of axioms.

Independently, these two trends show the form becoming highly artificial — more like a puzzle to solve than a medium for personal poetic expression.

Independently from Henson in 1973 the group of scientists from USSR directed by Prof. Bochvar made the quantum-chemical analysis of stability of C < sub > 60 </ sub > and calculated electronic structure of the molecule.

Independently, Ruth Bettina Birn ( the world's leading authority on the archives that Goldhagen had consulted and chief historian for War Crimes with the Canadian Department of Justice ) did the same-she and Finkelstein worked together on A Nation on Trial: The Goldhagen Thesis and Historical Truth.

Independently of this, Bydgoszcz-Szwederowo airport, located about 50 km from Toruń city center, serves the whole Bydgoszcz-Toruń metropolitan area, with a number of regular flights to European cities.

Independently of the Lambengolmor, Daeron of Doriath invented the Cirth or Elvish-runes.

Independently from annual rainfall, it is recommended to water young trees at least during summer and early autumn.

Independently, there were investigations into the chemical nature of creosote.

Independently, some other damaged clips from the film made their way to the UCLA Film & Television Archive.

Independently from Emmanuel Joseph Sieyès's introduction of the term in 1780, Comte re-invented " sociologie ", and introduced the term as a neologism, in 1838.

Physical chemistry involves the use of calculus in deriving equations.

Physical chemistry involves the use of infinitesimal calculus in deriving equations.

* ideal allows the drawing of pictures declaratively, deriving the picture by solving a system of simultaneous equations based on vectors and transformations described by its input.

Study of functions defined in this more general setting thus provides a convenient method of deriving results about the way functions vary in space as well as time or, in more mathematical terms, partial differential equations, where this technique is known as separation of variables.

An example of this comes after we see the historical Thomasina deriving her mathematical equations to describe the forms of nature ; we later see Val, with his computer, plotting them to produce the image of a leaf.

* 1963 — Roy Kerr solves the Einstein vacuum field equations for uncharged symmetric rotating systems, deriving the Kerr metric

A historical note on methods of deriving Fowler-Nordheim-type equations is necessary.

There are several possible approaches to deriving these equations, using free-electron theory.

Swift continued with these equations, deriving expressions for the acoustic power in thermoacoustic devices.

This can be proven by deriving the following equations:

In overview, the XSL attack relies on first analyzing the internals of a cipher and deriving a system of quadratic simultaneous equations.

A more-sophisticated method of deriving the beaming equations starts with the quantity.

However, deriving the set of equations used to iteratively update the parameters often requires a large amount of work compared with deriving the comparable Gibbs sampling equations.

Attempts to unify those models or to create a complete mechanical description of them did not succeed, but after considerable work by many scientists, including Michael Faraday and Lord Kelvin, James Clerk Maxwell ( 1864 ) developed an accurate theory of electromagnetism by deriving a set of equations in electricity, magnetism and inductance, named Maxwell's equations.