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discovered and numerically
When plotting the number of species in a plant community that fell in each 20-percentile frequency class from very frequent, i. e. numerically dominant, to very infrequent, Raunkiær discovered that most species were either very common or very rare.

discovered and its
He was outraged by the book and announced that he had discovered fifty technical errors in its account of church practices.
One morning, we discovered not only that the pennies were missing from the idol but that a cigarette had been stubbed out in its lap.
Grey slashed public expenditure against heavy opposition, although its impact was negligible at this point: silver was discovered in Glen Osmond that year, agriculture was well underway, and other mines sprung up all over the state, aiding Adelaide's commercial development.
Another amino acid that was discovered in the early 19th century was cystine, in 1810, although its monomer, cysteine, was discovered much later, in 1884.
The stone was given its name by Theophrastus, a Greek philosopher and naturalist, who discovered the stone along the shore line of the river Achates () sometime between the 4th and 3rd centuries BC.
* Take two: Aspirin, New uses and new dangers are still being discovered as aspirin enters its 2nd century.
The Alfred jewel, discovered in Somerset in 1693, has long been associated with King Alfred because of its Old English inscription " AELFRED MEC HEHT GEWYRCAN " ( Alfred ordered me to be made ).
He discovered that, although matter may change its form or shape, its mass always remains the same.
* The dinosaur Diplodocus carnegiei ( Hatcher ) was named for Carnegie after he sponsored the expedition that discovered its remains in the Morrison Formation ( Jurassic ) of Utah.
Since its disappearance from the Biblical narrative, there have been a number of claims of having discovered or of having possession of the Ark, and several possible places have been suggested for its location.
This replica was discovered in a cave by a Swedish German missionary named Harald von Sicard in the 1940s and eventually found its way to the Museum of Human Science in Harare.
A significant contribution to the chemistry of alkaloids in the early years of its development was made by the French researchers Pierre Joseph Pelletier and Joseph Bienaimé Caventou, who discovered quinine ( 1820 ) and strychnine ( 1818 ).
It was discovered in 1725 and later explained by the third Astronomer Royal, James Bradley, who attributed it to the finite speed of light and the motion of Earth in its orbit around the Sun.
The Antarctic region had no indigenous population when first discovered, and its present inhabitants comprise a few thousand transient scientific and other personnel working on tours of duty at the several dozen research stations maintained by various countries.
Roughly 88 % of people affected with AVM are asymptomatic ; often the malformation is discovered as part of an autopsy or during treatment of an unrelated disorder ( called in medicine " an incidental finding "); in rare cases its expansion or a micro-bleed from an AVM in the brain can cause epilepsy, deficit or pain.
The Judia (" Jewess ", for the ancestry of its owner Fernão de Loronha ) was the Portuguese ship that discovered the feature by running aground on it in 1506.
" This tradition ended on berkelium, though, as the naming of the next discovered actinide, californium, was not related to its lanthanide analogue dysprosium, but after the discovery place.
Disraeli's biographers agree that Vivian Grey was a thinly veiled re-telling of the affair of The Representative, and it proved very popular on its release, although it also caused much offence within the Tory literary world when Disraeli's authorship was discovered.
Despite its toxicity, a considerable fraction of petroleum oil entering marine systems is eliminated by the hydrocarbon-degrading activities of microbial communities, in particular by a remarkable recently discovered group of specialists, the so-called hydrocarbonoclastic bacteria ( HCCB ).
He discovered a relationship between the redshift of a galaxy and its distance.
The country has not discovered sources of fossil fuels — apart from minor coal deposits — but its mountainous terrain and abundant rainfall have permitted the construction of a dozen hydroelectric power plants, making it self-sufficient in all energy needs, except oil for transportation.
The most notable star in Cetus is Mira, designated Omicron Ceti, the first variable star to be discovered and the prototype of its class.

discovered and solutions
After learning the rules, they discovered Judit was able to find solutions to the problems they were studying and she began to be invited into the group.
Later, other types of traversable wormholes were discovered as allowable solutions to the equations of general relativity, including a variety analyzed in a 1989 paper by Matt Visser, in which a path through the wormhole can be made where the traversing path does not pass through a region of exotic matter.
In 1818, Seebeck discovered the optical activity of the solutions of sugar.
In 1902, Norris and Kehrman independently discovered that colorless triphenylmethanol gave deep yellow solutions in concentrated sulfuric acid.
Together with Juliusz Schauder, he discovered a topological invariant, now called the Leray – Schauder degree, which they applied to prove the existence of solutions for partial differential equations lacking uniqueness.
This possibility was first raised by Kurt Gödel in 1949, who discovered a solution to the equations of general relativity ( GR ) allowing CTCs known as the Gödel metric ; and since then other GR solutions containing CTCs have been found, such as the Tipler cylinder and traversable wormholes.
The first such solutions were discovered in the case of four-dimensional Euclidean space compactified to the four-dimensional sphere, and turned out to be localized in space-time, prompting the names pseudoparticle and instanton.
In 1783 Carl Wilhelm Scheele discovered that gold dissolved in aqueous solutions of cyanide.
Over the years, various improved solutions to the maximum flow problem were discovered, notably the shortest augmenting path algorithm of Edmonds and Karp and independently Dinitz ; the blocking flow algorithm of Dinitz ; the push-relabel algorithm of Goldberg and Tarjan ; and the binary blocking flow algorithm of Goldberg and Rao.
However, the problem still remained insurmountable, until in 1953 Max Perutz discovered that the phase problem in analysis of the diffraction patterns could be solved by multiple isomorphous replacement — comparison of patterns from several crystals ; one from the native protein, and others that had been soaked in solutions of heavy metals and had metal ions introduced in different well-defined positions.
Studying instanton solutions of Yang-Mills theories ,'t Hooft discovered that spontaneously breaking a theory with SU ( N ) symmetry to a U ( 1 ) symmetry will lead to the existence of magnetic monopoles.
They were discovered at the beginning of the 1980s by Alexei Ekimov in a glass matrix and by Louis E. Brus in colloidal solutions.
In support of this, Keck observations in 2007 of eight newly discovered ultra-faint Milky Way dwarf satellites showed that six were around 99. 9 % dark matter ( with a mass to light ratio of about 1000 ) Other solutions may be that dwarf galaxies tend to be gobbled up or tidally stripped apart by larger galaxies due to complex interactions.
Beketov discovered displacement of metals from solutions of their salts by hydrogen under pressure.
Since then, very efficient solutions have been discovered.
But from his numerous equations he discovered two classes of constant-pattern solutions: collinear, in which one of the distances is the sum of the other two, and equiangular, in which the three distances are equal.
Like solutions of the Rubik's Cube, the solutions of Square One depend on the use of algorithms discovered either by trial and error, or by using computer searches.
Unlike classical control and classification problems, the solutions are complex and must be discovered and optimized in multidimensional space.
These instantons were discovered in 1975 by Belavin, Polyakov, Schwartz and Tyupkin as topologically stable solutions to the Yang-Mills field equations.
In 1960, Trautman and Ivor Robinson discovered an important family of exact solutions of the Einstein field equation, the Robinson-Trautman gravitational waves.
In 1965, he discovered the Kerr-Newman electrovacuum, one of the best known of all exact solutions.
I found myself before a problem that I solved and for which I discovered a great many solutions ; looking deeper for its solutions, I obtained two thousand six hundred and seventy-six correct ones.

1.399 seconds.