Whereas analog filters are usually analysed in terms of transfer functions in the s plane using Laplace transforms, digital filters are analysed in the z plane in terms of Z-transforms.

Whereas the Auschwitz II ( Auschwitz – Birkenau ) and Majdanek camps were parts of a labor camp complex, the Operation Reinhard camps and the Chełmno camp were exclusively for the quick extermination of many people ( primarily Jews ) within hours of their arrival.

Whereas the central Maoist leaders encouraged the masses to criticize reactionary " ideas " and " habits " among the alleged 5 % of bad cadres, giving them a chance to " turn over a new leaf " after they had undergone " thought reform ," the Ultra-Left argued that " cultural revolution " had to give way to " political revolution " – " in which one class overthrows another class ".

It was the difficulty in using the longbow which led various monarchs of England to issue instructions encouraging their ownership and practice, including the Assize of Arms of 1252 and King Edward III's declaration of 1363: " Whereas the people of our realm, rich and poor alike, were accustomed formerly in their games to practise archery – whence by God's help, it is well known that high honour and profit came to our realm, and no small advantage to ourselves in our warlike enterprises ... that every man in the same country, if he be able-bodied, shall, upon holidays, make use, in his games, of bows and arrows ... and so learn and practise archery.

Whereas in the binary search tree, we always add a leaf, in the red – black tree leaves contain no information, so instead we add a red interior node, with two black leaves, in place of an existing black leaf.

Meursault and the ' Robot Lady ' – Whereas Meursault just likes life to happen as it does, this lady ( whom he met at Celeste's diner ) is the exact opposite.

Whereas the king had only levied three lay subsidies until 1294, four such taxes were granted in the years 1294 – 97, raising over £ 200, 000.

Whereas he had been required to undertake much fieldwork and excavation whilst at Edinburgh, at the Institute his position as Director meant that this was not necessary, although he did undertake one excavation at Maes Howe, a Neolithic burial tomb plundered by Early Medieaval Norse raiders, during 1954 – 55.

Whereas they found the early data inconclusive, the results of 2004 – 2007 were accepted as identification of element 114.

Whereas home form continued to waver with a 2 – 0 defeat to Leicester, away form picked up dramatically, with a convincing 3 – 0 away win at struggling Nottingham Forest, despite Lambert's absence.

Whereas most older audiences were tuning into shows like the western Bonanza, the younger generation — ages 15 – 25 — were watching the Smothers ' more socially relevant humor.

Whereas Peruvian – U. S. relations early in Fujimori's presidency had been dominated by questions of coca eradication, Fujimori's autogolpe immediately became a major obstacle to international relations, as the United States immediately suspended all military and economic aid to Peru, with exceptions for counter-narcotic and humanitarian-related funds.

Whereas the Gelsenkirchen of that time – not including today's north-end communities, such as Buer – was put in the Amt of Wattenscheid in the Bochum district, in the governmental region of Arnsberg, Buer, which was an Amt in its own right, was along with nearby Horst joined to Recklinghausen district in the governmental region of Münster.

Whereas most older audiences were tuning into shows like the western Bonanza, the younger generation — ages 15 – 25 — were watching the Smothers ' more socially relevant humor.

Whereas the second, third, and Boyce – Codd normal forms are concerned with functional dependencies, 4NF is concerned with a more general type of dependency known as a multivalued dependency.

Whereas most leaders had come from or identified with the independence movement Sinn Féin ( in its 1917 – 22 phase ), Bruton identified more with the more moderate Irish Parliamentary Party ( IPP ) tradition that Sinn Féin had eclipsed at the 1918 general election.

Whereas the aurantiirostris-fuscater / mexicanus-dryas group indeed forms a distinct lineage – probably living close to the genus ' center of origin – the Russet Nightingale-Thrush is closest to the Hermit Thrush.

Whereas Social Statics had been the work of a radical democrat who believed in votes for women ( and even for children ) and in the nationalization of the land to break the power of the aristocracy, by the 1880s he had become a staunch opponent of female suffrage and made common cause with the landowners of the Liberty and Property Defence League against what they saw as the drift towards ' socialism ' of elements ( such as Sir William Harcourt ) within the administration of William Ewart Gladstone – largely against the opinions of Gladstone himself.

Whereas the focus there is on philosophy and integration with the theories created within knowledge management – a holistic approach – the focus of PIM research is on collecting statistically relevant data to support the core hypothesis of PIM ( see for example the work of Steve Whittaker ), and on creating and validating tools for PIM ( see works by William Jones or David Karger ).

: QUOTE – " By the King: Whereas, some differences hath arisen between Our subjects of South and North Britaine travelling by Seas, about the bearing of their Flagges: For the avoiding of all contentions hereafter.

Whereas Traunstein was a district free city from 1948 – 1972, it became capital of the district denominated by the same name in 1972.

Whereas the technique of the Fourier transform can be extended to obtain the frequency spectrum of any slowly growing locally integrable signal, this approach requires a complete description of the signal's behavior over all time.

Whereas the wavelet transform is based on wavelets of the form g ( ax + b ), the p-type chirplet transform is based on chirplets of the form g (( ax + b )/( cx + 1 )), where a is the scale, b is the translation, and c is the chirpiness ( chirp-rate, as defined by the degree of perspective, or projection ).

Whereas the plan of Garner Ted Armstrong was to ease his aging father into retirement, the plan of Stanley Rader and his aide Robert Lawrence Kuhn was to transform Herbert W. Armstrong from an elderly evangelist into a more secular leader, casting him as a vital " Ambassador for World Peace without portfolio ".

Whereas Gompers presumed that the great mass of workers would learn the value of solidarity through direct experience, Foster and his supporters favored a more top-down approach .... With amalgamation as its slogan, industrial unionism as its goal, and ' boring from within ' the established trade unions as its method, the TUEL promised to transform otherwise ' timid and muddled ' AFL affiliates into ' scientifically constructed, class conscious weapons in the revolutionary struggle.

Whereas the corresponding inverse transform can mathematically be performed by replacing ω with ω < sup >− 1 </ sup > ( and possibly multiplying by an overall scale factor, depending on the normalization convention ), one may also directly invert the butterflies:

Whereas his Gymnasium senior thesis argued that religion had as its primary social aim the promotion of solidarity, here Marx sees the social function of religion in terms of highlighting / preserving political and economic status quo and inequality.

Whereas phonetics is about the physical production and perception of the sounds of speech, phonology describes the way sounds function within a given language or across languages.

Whereas a third party logistics ( 3PL ) service provider targets a function, a 4PL targets management of the entire process.

Whereas after puberty, the ability for learning a language without an accent has been rerouted to function in another area of the brain — most likely in the frontal lobe area promoting cognitive functions, or in the neural system of hormone allocated for reproduction and sexual organ growth.

Whereas the Commission on Human Rights was a political forum where states debated all human rights concerns ( since June 2006, replaced by the Council in that function ), the Human Rights Committee is a treaty-based mechanism where a group of experts examines reports and rules on individual communications pertaining only to the International Covenant on Civil and Political Rights.

Whereas I / O on 704 was a programmed function of the central processor-data words were transferred to or from the I / O register, one at a time, using a " copy " instruction-the 709 came with the IBM-766 Data Synchronizer, which provided two independently " programmed " I / O channels.

Whereas normal integration sums a function, f ( x ), over a continuous range of values of x, functional integration sums a functional, G, over a continuous range of functions, f. Most functional integrals cannot be solved exactly but must be solved using perturbation methods.

Whereas compact matrix pseudogroups are typically versions of Drinfeld-Jimbo quantum groups in a dual function algebra formulation, with additional structure, the bicrossproduct ones are a distinct second family of quantum groups of increasing importance as deformations of solvable rather than semisimple Lie groups.

Whereas the trace is a scalar valued function on operators, the partial trace is an operator-valued function.

Whereas a standard rack-mount server can function with ( at least ) a power cord and network cable, blade servers have many components removed to save space, minimize power consumption and other considerations, while still having all the functional components to be considered a computer.

Whereas the lambda calculus has only one function type,

Whereas Mars is matter above spirit, as martial function and necessity precedes tranquility.

Whereas the iteration of a function naturally leads to a study of the orbits of points of X under iteration ( the study of point dynamics ), the transfer operator defines how ( smooth ) maps evolve under iteration.

Whereas buck converters usually function as voltage regulators, delivering a constant DC voltage into a variable load and can only source current ( one-quadrant operation ), a class D amplifier delivers a constantly changing voltage into a fixed load, where current and voltage can independently change sign ( four-quadrant operation ).

Whereas the instrumentalist position argues that the institutions of the state are under the direct control of those members of the capitalist class in positions of state power, the structuralist perspective takes the position that the institutions of the state must function in such a way as to ensure ongoing viability of capitalism more generally.

Whereas ( 6 ) is a relation between specific slopes and variable values, ( 7 ) is a relation between slope functions and function variables.