He gave Abel a quick glance and moved closer to the wheel, hugging it to him, and Abel caught this briefest of allusions to guilt.

In mid-1823, Professor Rasmussen gave Abel a gift of 100 speciedaler so he could travel to Copenhagen and visit Ferdinand Degen and other mathematicians there.

For his birthday, Cain, Abel, and Eve gave him a sampler that said " If you're so smart, why don't you have your own book?

Austrian referee Gunter Benko awarded the spot kick for a handball after Abel Xavier blocked a shot from Sylvain Wiltord ( Benko initially gave France a corner but changed his mind after consulting with Slovak linesman Igor Sramka ).

* Staten Landt, the name Abel Tasman gave to the then newly-discovered New Zealand

On August 6, 2010, Poehler gave birth to son Abel James Arnett.

Guitarist Abel Zarate gave Malo a distinctive two-guitar sound with intricate harmony and dual solos the norm.

The theory of field extensions ( including Galois theory ) involves the roots of polynomials with coefficients in a field ; among other results, this theory leads to impossibility proofs for the classical problems of angle trisection and squaring the circle with a compass and straightedge, as well as a proof of the Abel – Ruffini theorem on the algebraic insolubility of quintic equations.

His solution contained a gap, which Cauchy considered minor, though this was not patched until the work of Norwegian mathematician Niels Henrik Abel, who published a proof in 1824, thus establishing the Abel – Ruffini theorem.

One of the fundamental theorems of Galois theory states that an equation is solvable in radicals if and only if it has a solvable Galois group, so the proof of the Abel – Ruffini theorem comes down to computing the Galois group of the general polynomial of the fifth degree.

While Cauchy felt that the assumption was minor, most historians believe that the proof was not complete until Abel proved this assumption.

The theorem is thus generally credited to Niels Henrik Abel, who published a proof that required just six pages in 1824.

The proof that four is the highest degree of a general polynomial for which such solutions can be found was first given in the Abel – Ruffini theorem in 1824, proving that all attempts at solving the higher order polynomials would be futile.

Among his work was an incomplete proof ( Abel – Ruffini theorem ) that quintic ( and higher-order ) equations cannot be solved by radicals ( 1799 ), and Ruffini's rule which is a quick method for polynomial division.

This polynomial sequence is of binomial type: conversely, every polynomial sequence of binomial type may be obtained from the Abel sequence in the umbral calculus.

This is a result of Galois theory ( see Quintic equations and the Abel – Ruffini theorem ).

For, in 1823, Abel had at last proved the impossibility of solving the quintic equation in radicals ( now referred to as the Abel – Ruffini theorem ).

Abel had sent most of his work to Berlin to be published in Crelles Journal, but he had saved what he regarded his most important work for the French Academy of Sciences, a theorem on addition of algebraic differentials.

In 1824, Niels Henrik Abel proved the striking result that there can be no general ( finite ) formula, involving only arithmetic operations and radicals, that expresses the roots of a polynomial of degree 5 or greater in terms of its coefficients ( see Abel-Ruffini theorem ).

The birth of Galois theory was originally motivated by the following question, whose answer is known as the Abel – Ruffini theorem.

In algebra, the Abel – Ruffini theorem ( also known as Abel's impossibility theorem ) states that there is no general algebraic solution — that is, solution in radicals — to polynomial equations of degree five or higher.

The Abel – Ruffini theorem says that there are some fifth-degree equations whose solution cannot be so expressed.

Higher-degree polynomials have no such general solution, according to the Abel – Ruffini theorem ( 1824, 1799 ).

Niels Henrik Abel ( 1802 – 1829 ), a Norwegian, and Évariste Galois, ( 1811 – 1832 ) a Frenchman, investigated into the solutions of various polynomial equations, and proved that there is no general algebraic solution to equations of degree greater than four ( Abel – Ruffini theorem ).

The roots of a cubic, like those of a quadratic or quartic ( fourth degree ) function but no higher degree function ( by the Abel – Ruffini theorem ), can always be found algebraically ( as a formula involving simple functions like the square root and cube root functions ).

However, there is no formula for general quintic equations over the rationals in terms of radicals ; this is known as the Abel – Ruffini theorem, first published in 1824, which was one of the first applications of group theory in algebra.

In an 1850 paper, On the Solution of the General Equation of the Fifth Degree, Kronecker solved the quintic equation by applying group theory ( though his solution was not in terms of radicals, since this was already proven impossible by Abel – Ruffini theorem ).

The original examples are Abel's theorem showing that if a series converges to some limit then its Abel sum is the same limit, and Tauber's theorem showing that if the Abel sum of a series exists and the coefficients are sufficiently small ( o ( 1 / n )) then the series converges to the Abel sum.

Abel ignored the half-expressed bid for confirmation.

There was the day Uncle Izaak had, in an unexpected grandiose gesture, handed over the pretty sloop to Abel for keeps, on condition that he never fail to let his brother accompany him whenever younger the boy wished.

There is no prize awarded for mathematics, but see Abel Prize.

Abel left the Wings for Chicago following the season, and his spot on the roster was replaced by Alex Delvecchio.

Epinephrine was chosen as the generic name in the United States because John Abel, who prepared extracts from the adrenal glands in 1897, used that name for his extracts.

* 1962 – Captured American U2 spy-plane pilot Gary Powers is exchanged for captured Soviet spy Rudolf Abel.

In 1765 he returned to Berlin, only to leave again in 1767 to work for three years as a dramaturg and adviser at the Hamburg National Theatre ( the Hamburgische Entreprise ), whose main backer was Abel Seyler.

The exchange was for Soviet KGB Colonel Vilyam Fisher ( aka Rudolf Abel ), who had been caught by the FBI and jailed for espionage.

Toward the end of his life he wrote a letter for general circulation pointing out that Abel, Noah, Abraham, Jacob, Moses and David were all keepers of sheep or cattle and therefore that a learned education should not be seen as a necessary qualification for ministry.

Another hypothesis for the origin of the term dates back to 1907, " when John Brandtjen convinced two young machinists from Oslo, Norway named Abel and Eneval Kluge to service and install presses for his fledgling printing equipment firm " ( see external link, history of the Kluge Platen Press ).

Later, it was discovered that this symphony was actually the work of Abel, copied by the boy Mozart — evidently for study purposes — while he was visiting London in 1764.

The Abel Prize is named for him.

In early 1823, Niels Abel published his first article in " Magazin for Naturvidenskaberne ", Norway's first scientific journal, which had been co-founded by Professor Hansteen.

Abel published several articles, but the journal soon realized that this was not material for the common reader.

After returning from Copenhagen, Abel applied for a government scholarship in order to visit top mathematicians in Germany and France ; but instead, he was granted 200 speciedaler yearly for two years, to stay in Cristiania and study German and French.

All this time, Crelle had been searching for a new job for Abel in Berlin, and had actually managed to have him appointed a professor at a university.