By an auspicious choice of the parameter n < sub > 0 </ sub >, we will arrive at a contradiction.

By 1835, he was the Advocate < nowiki >'</ nowiki > s sole owner.

By sweeping this surface through R < sup > 3 </ sup > as a function of the ion sequence input data, such as via ion-ordering, a volume is generated onto which positions the 2D detector positions can be computed and placed three-dimensional space.

By lowering the activation energy, the enzyme speeds up that reaction by a rate of 10 < sup > 11 </ sup > or more: a reaction that would normally take over 3, 000 years to complete spontaneously might take less than a second with an enzyme.

By construction, h extends to the whole upper hemisphere of S < sup > n </ sup >, and as such is null-homotopic.

By the same principle when the pH is too high, the kidneys excrete bicarbonate ( HCO < sub > 3 </ sub >< sup >-</ sup >) into urine as urea via the Urea Cycle ( aka the Krebs-Henseleit Ornithine Cycle ).

By removing the bicarbonate more H < sup >+</ sup > is generated from carbonic acid ( H < sub > 2 </ sub > CO < sub > 3 </ sub >) which come from CO < sub > 2 </ sub >( g ) produced by cellular respiration.

By the 1870s, British physicist William Crookes and others were able to evacuate tubes to a lower pressure, below 10 < sup >− 6 </ sup > atm.

By moving the unit vectors so their tails coincide, as seen in the circle at the left of the image above, it is seen that u < sub > ρ </ sub > and u < sub > θ </ sub > form a right-angled pair with tips on the unit circle that trace back and forth on the perimeter of this circle with the same angle θ ( t ) as r ( t ).

By comparison, when Mount St. Helens erupted in 1980, it released ~ 1. 2 km < sup > 3 </ sup > ( DRE ) of ejecta.

By studying the spectral properties of the linear operator U it becomes possible to classify the ergodic properties of Φ < sup > t </ sup >.

( By modern convention, the sequence begins with F < sub > 0 </ sub > = 0.

By applying voltage to G, one can control I < sub > D </ sub >.

By Euclid's lemma p < sub > 1 </ sub > must divide one of the q < sub > j </ sub >; relabeling the q < sub > j </ sub > if necessary, say that p < sub > 1 </ sub > divides q < sub > 1 </ sub >.

By comparison, the density of lead is 11, 340 kg / m < sup > 3 </ sup >, and that of the densest element, osmium, is 22, 610 kg / m < sup > 3 </ sup >.

By increasing the concentration of oxygen in the air, the effects of lower barometric pressure are countered and the level of arterial pO < sub > 2 </ sub > is restored toward normal capacity.

By the 1990s, the term was in wide use, even in formal engineering papers such as " Towards unobtainium < nowiki > composite materials for space applications < nowiki ></ nowiki >.

By extension, a < nowiki >'</ nowiki > world < nowiki >'</ nowiki > may refer to any planet or heavenly body, especially when it is thought of as inhabited, especially in the context of science fiction or futurology.

By Marathon Infinity, all three of the UESC Marathon < nowiki >'</ nowiki > s artificial intelligences reach rampancy.

By the end of the 1994 – 95 season, Murder, She Wrote < nowiki >'</ nowiki > s eleventh, Lansbury began to consider ending the series, as her advancing age became a concern ( she had just turned seventy ).

By using the product rule, one gets the derivative ƒ < nowiki > '</ nowiki >( x ) = 2x sin ( x ) + x < sup > 2 </ sup > cos ( x ) ( since the derivative of x < sup > 2 </ sup > is 2x and the derivative of sin ( x ) is cos ( x )).

By the time the radio show entered its final season, The Great Gildersleeve < nowiki >'</ nowiki > s remaining radio audience heard only reruns of previous episodes.

Bradley won by 17, 760 votes to 10, 540 in the first election and by 17, 552 votes to 10, 400 in the second .< ref >" Complete Returns ," Los Angeles Times, April 4, 1963, page 2 < code >< nowiki > Library card required </ nowiki ></ code > By then he had retired from the police force, and he was sworn in as a councilman at the age of 45 on April 15, 1963, " the first Negro ever elected to the council.

Seven new minced oaths are first recorded between 1598 and 1602, including < nowiki >' sblood </ nowiki > for By God's blood from Shakespeare, < nowiki >' slight </ nowiki > for God's light from Ben Jonson, and < nowiki >' snails </ nowiki > for By God's nails from the historian John Hayward.

By the time of Minor Disturbance < nowiki >'</ nowiki > s release, Nelson and MacKaye had already formed Minor Threat.

By the time of Bivouac < nowiki >'</ nowiki > s release Schwarzenbach had developed a polyp on his throat, causing him to lose his voice onstage.

By 1955 the Pioneer Zephyr < nowiki >'</ nowiki > s route had been updated to run between Galesburg, Illinois, and Saint Joseph, Missouri ; the trainset had been in continual service since 1934, operating over nearly 3 million miles ( 4. 8 million kilometres ).

By the following April stations across the country had heard about Open House Party < nowiki >'</ nowiki > s success and were signing on.

The episode's reference to North By Northwest was named the 24th greatest film reference in the history of the show by Total Film < nowiki >'</ nowiki > s Nathan Ditum.

A sound sometimes concludes puns .< ref name =" pun "> Dancin < nowiki >'</ nowiki >: By the way, the word scenes ... / Dancin < nowiki >'</ nowiki >: Has nothing to do with my name, cuz my name is not Dan-scene, la, la ...!

Milne had met Howard when the actor starred in Milne ’ s play Mr Pim Passes By in London.

By the end of 2010, Armenia ’ s external debt is projected to form about 42 percent of GDP, and 50 percent in 2012.

Proof: By symmetry, it suffices to prove that there is some constant c such that for all bitstrings s

By its terms the boundary between Alfred ’ s and Guthrum ’ s kingdoms was to run up the River Thames, to the River Lea ; follow the Lea to its source ( near Luton ); from there extend in a straight line to Bedford ; and from Bedford follow the River Ouse to Watling Street.

By picturing Roman authority negatively proponents of this view believe that it is emphasizing the fact that Christian ’ s should obey and submit to Christ ’ s authority ( Acts 4: 19-20 ; 5: 29 ).

By 2005 Colombia had the highest mobile phone density ( 90 percent ) in Latin America, as compared with the region ’ s average density of 70 percent.

By prescribing recent advances in medicine, the Boston ministers modified the doctrine of theological pathogenesis in an attempt to maintain the old order according to which it was the clergy ’ s duty and privilege to interpret illnesses and their cures.

By the time of its independence from Ethiopia in 1993, Eritrea ’ s economy had been destroyed by war and was dependent on income from ports and its small agricultural base.

By supporting those who destroy peace processes in our neighbouring countries, Norway undermines the Ethiopian government ’ s peace work.

By substituting these three verbs, even without clarifying morality ( ought, shall, should, must ) or the actor ( s ) who do or did something, becomes / remains / equals makes clear what time frame of relationship is asserted, and disallows assuming one stable past / present / future timeline-known as single scenario planning or blind linearity and considered a grave error in risk analysis.

By the time of Honorius ’ s death in 423, Britain, Spain and large parts of Gaul had effectively passed into barbarian control.

By 2000, when web publishing of stories became more popular than zine publishing, thousands of media fanzines had been published ; over 500 of them were k / s zines.

By 2500 BC, small settlements were developing in Guatemala ’ s Pacific lowlands in such places as Tilapa, La Blanca, Ocós, El Mesak, and Ujuxte, where the oldest pieces of ceramic pottery from Guatemala has been found.

By focusing on the positive aspects of the in-group ’ s actions rather than the harmful effects, collective guilt can be reduced.

By that time most knowledge of Saxo ’ s work came from a summary located in Chronica Jutensis, from around 1342, called Compendium Saxonis.

By 2006 Hungary ’ s economic outlook had deteriorated.

By 1810 the town ’ s population reached approximately 700, with about 130 houses.

By definition, these clouds must have a v < sub > lsr </ sub > greater than 90 km s < sup >− 1 </ sup >, where v < sub > lsr </ sub > is the local standard rest velocity.

By 1997, the phrase had entered the legal lexicon as seen in an opinion by Supreme Court of the United States Justice John Paul Stevens, ' An example of " junk science " that should be excluded under the Daubert standard as too unreliable would be the testimony of a phrenologist who would purport to prove a defendant ’ s future dangerousness based on the contours of the defendant ’ s skull.

By ordering the solids correctly — octahedron, icosahedron, dodecahedron, tetrahedron, cube — Kepler found that the spheres could be placed at intervals corresponding ( within the accuracy limits of available astronomical observations ) to the relative sizes of each planet ’ s path, assuming the planets circle the Sun.

By the mid-1930s, Hitler ’ s most powerful subordinates were Hermann Göring, as head of the Four Year Plan for crash rearmament, and Heinrich Himmler, head of the SS and police apparatus.