Dolmabahçe Palace (, ) located in the Beşiktaş district of Istanbul, Turkey, on the European coastline of the Bosphorus strait, served as the main administrative center of the Ottoman Empire from 1856 to 1922, apart from a 22-year interval ( 1887 – 1909 ) in which Yıldız Palace was used.

* Bangor ( 1856 ) ( BoT accident report )-defective interval working-passenger train predictably caught up with goods train-block working recommended.

The Euler – Maclaurin formula provides expressions for the difference between the sum and the integral in terms of the higher derivatives ƒ < sup >( k )</ sup > at the end points of the interval m and n. Explicitly, for any natural number p, we have

The Euler – MacLaurin summation formula can thus be seen to be an outcome of the representation of functions on the unit interval by the direct product of the Bernoulli polynomials and their duals.

# Cretaceous – Paleogene extinction event ( End Cretaceous, K-T extinction, or K-Pg extinction ): 65. 5 Ma at the Cretaceous. Maastrichtian-Paleogene. Danian transition interval.

A sufficient condition for recovering s ( t ) ( and therefore S ( ƒ )) from just these samples is that the non-zero portion of s ( t ) be confined to a known interval of duration P, which is the frequency domain dual of the Nyquist – Shannon sampling theorem.

When that interval is 0. 5 / T, the applicable reconstruction formula is the Whittaker – Shannon interpolation formula.

One example of a commonly adopted definition of an apnea ( for an adult ) includes a minimum 10 second interval between breaths, with either a neurological arousal ( a 3-second or greater shift in EEG frequency, measured at C3, C4, O1, or O2 ) or a blood oxygen desaturation of 3 – 4 % or greater, or both arousal and desaturation.

The Stone – Weierstrass theorem generalizes the Weierstrass approximation theorem in two directions: instead of the real interval, an arbitrary compact Hausdorff space X is considered, and instead of the algebra of polynomial functions, approximation with elements from more general subalgebras of C ( X ) is investigated.

* 20. 8 microseconds – sampling interval for digital audio with 48000 samples / s

* 22. 7 microseconds – sampling interval for CD audio ( 44100 samples / s )

* 125 microseconds – sampling interval for telephone audio ( 8000 samples / s )

The Cauchy – Schwarz inequality proves that this definition is sensible, by showing that the right hand side lies in the interval, and justifies the notion that ( real ) Hilbert spaces are simply generalizations of the Euclidean space.

After an interval of Angevin rule ( 1266 – 1282 ), Sicily came under the house of Aragon.

The genera Escherichia and Salmonella diverged around 102 million years ago ( credibility interval: 57 – 176 mya ), which coincides with the divergence of their hosts: the former being found in mammals and the latter in birds and reptiles.

UTF-16 ( 16-bit Unicode Transformation Format ) is a character encoding for Unicode capable of encoding 1, 112, 064 < ref >, where is the BMP, is the interval U + D800 – U + DFFF, and are the higher planes .</ ref > numbers ( called code points ) in the Unicode code space from 0 to 0x10FFFF.

A very common interval in the United States for 8 – 12 hours of use 5 days per week is six months.

In the theta mode, the EEG is dominated by large regular waves with a frequency range of 6 – 9 Hz, and the main groups of hippocampal neurons ( pyramidal cells and granule cells ) show sparse population activity, which means that in any short time interval, the great majority of cells are silent, while the small remaining fraction fire at relatively high rates, up to 50 spikes in one second for the most active of them.

Meta-analytic interval estimation for standardized and unstandardized mean differences, Psychological Methods, 14, 225 – 238.

Meta-analytic interval estimation for bivariate correlations, Psychological Methods, 13, 173 – 189.

This section of the fault has an earthquake-recurrence interval of roughly 140 – 160 years.

A few real-time systems refresh a portion of memory at a time determined by an external timer function that governs the operation of the rest of a system, such as the vertical blanking interval that occurs every 10 – 20 ms in video equipment.

* 12 attoseconds – record for shortest time interval measured as of May 12, 2010.

One application of SVD to rather large matrices is in numerical weather prediction, where Lanczos methods are used to estimate the most linearly quickly growing few perturbations to the central numerical weather prediction over a given initial forward time period – i. e. the singular vectors corresponding to the largest singular values of the linearized propagator for the global weather over that time interval.

Harmonically, both of these composers ( and Hindemith ) made use of harmonies based on the interval of a fourth – known as ' quartal ' – to replace the classic ' functional ' harmony that had been around since at least 1600.

Except for an interval of work in Boston, Massachusetts, in 1857 – 1865, he remained there until 1897 as a member of an artistic colony that included Robert and Elizabeth Barrett Browning and Hiram Powers.

He resigned in 1854, and was ambassador in London the next year, which he occupied with a short interval ( 1858 – 1859 ) until 1860, when he resumed the portfolio of the interior.

However, the pioneering work of Max Planck ( 1858 – 1947 ) in the field of quantum physics suggests that there is, in fact, a minimum distance ( now called the Planck length, 1. 616 × 10 < sup >− 35 </ sup > metres ) and therefore a minimum time interval ( the amount of time which light takes to traverse that distance in a vacuum, 5. 391 × 10 < sup >− 44 </ sup > seconds, known as the Planck time ) smaller than which meaningful measurement is impossible.

After working as editor of a newspaper in Edinburgh, and after an interval of rest rendered necessary by a breakdown in health, Baynes resumed journalistic work in 1858 as assistant editor of the Daily News.

When the hay wagon had gone, and an interval passed, a huckster's cart might turn the corner.

It was not that they had been contracted for during the interval ; ;

For the 2004 semi-final of the Eurovision Song Contest, staged in Istanbul thirty years after ABBA had won the contest in Brighton, Benny appeared briefly in a special comedy video made for the interval act, entitled " Our Last Video ".

The emperor finally succeeded in concentrating his forces at Valenciennes, although John was out of the picture, and in the interval Philip Augustus had counter marched northward and regrouped.

One of the most pronounced features of early Renaissance European art music was the increasing reliance on the interval of the third ( in the Middle Ages, thirds had been considered dissonances ).

The Roman Catholic Church responded with a Counter-Reformation put in to motion by the Council of Trent — the most important ecumenical council since Nicaea II 800 years earlier ( at the time, there had not been an ecumenical council since Lateran IV over 300 years prior, a length only to be matched by the interval between Trent and Vatican I )— and spearheaded by the Society of Jesus.

In the interval a considerable number of the survivors and fugitives had been brought together by Hermocrates, and established within its walls.

" The interval was long ( a half hour ) as the elaborate picture gallery needed to be set up, but D ' Oyly Carte had anticipated this and had printed indulgence slips which were distributed.

In the interval he had taken the degree of D. D.

The Bourbon Restoration existed from ( about ) 6 April 1814 until the popular uprisings of the July Revolution of 1830, excepting the interval of the " Hundred Days ", less than a full year into the Restoration, when the Bourbon monarchy had again made themselves so unpopular with the general population of France that the family was again forced to flee Paris and France for Ghent, ahead of exploding civil disorders and collapsing civil authority.

After an interval spent in the pursuit of Antiochus and the pacification of Greece, Cato was sent to Rome by the Consul Glabrio to announce the successful outcome of the campaign, and he performed his journey with such celerity that he had started his report in the senate before the arrival of Lucius Cornelius Scipio Asiaticus, the later conqueror of Antiochus, who had been sent off from Greece a few days before him.

Election in absentia was unusual enough, but at some time after 152 BC a law had been passed dictating a ten-year interval between consulships, and there is even some evidence to indicate that by 135 BC a law had been passed that prohibited second consulships altogether.

Before the soundie, even dramatic movies typically had a musical interval, but the soundie put the music in the forefront ; virtually all known jazz performers appeared in soundie shorts.

The Pastoral pipes had four drones: these three plus one more that would play a harmony note at the fourth or fifth interval.

The reason for this interval in the composer's creative life is unknown, although it is possible he had a falling-out with the authorities at the Académie royale de la musique.

In doing so, he recognised that then-recent work quoting results in the form of an estimate plus-or-minus a standard deviation indicated that interval estimation was actually the problem statisticians really had in mind.

After an interval of about eighteen months, however, he decided on an academic career, which began at Heidelberg, where two vacancies had occurred in the theological faculty of the university.

For the 2004 semi-final of the Eurovision Song Contest, staged in Istanbul thirty years after ABBA had won the contest in Brighton, Lyngstad appeared in a special comedy video made for the interval act, entitled Our Last Video.

Lucius, three years his junior, was granted the same honours after the appropriate interval had elapsed.

He would frequently repeat without making a mistake a lesson which he had learned one or two years before and had never seen in the interval.