Whereas the Laplace – Stieltjes transform of a real-valued function is a special case of the Laplace transform of a measure applied to the associated Stieltjes measure, the conventional Laplace transform cannot handle vector measures: measures with values in a Banach space.

Whereas many role-playing video games limit the usage of their forms of magic to battles as offensive and defensive measures, Psynergy spells are also heavily used in puzzles and exploration.

Whereas the TDC measures the time between a start and a stop pulse, the delay generator gets a start pulse at its inputs, then counts down and outputs a stop pulse.

Whereas the pacific settlement of disputes provided by the former is underpinned by the consent of the parties, binding measures in terms of Chapter VII are characterised by the absence of such consent.

Whereas the holotype of O. edmontonicus, CMN 8632, preserves a second metacarpal eighty-four millimetres long, the same element with O. velox measures only fifty-three millimetres.

Whereas the embryo measures 3. 2 to 3. 5 mm in length, the cotyledons are 1. 5 in length by 1. 5 mm in width.

In the European Union directive 96 / 61 / EC emission limit values were to be based on the best available techniques, as described in item # 17: " Whereas emission limit values, parameters or equivalent technical measures should be based on the best available techniques, without prescribing the use of one specific technique or technology and taking into consideration the technical characteristics of the installation concerned, its geographical location and local environmental conditions ; whereas in all cases the authorization conditions will lay down provisions on minimizing long-distance or transfrontier pollution and ensure a high level of protection for the environment as a whole.

Whereas the usual organic surface-active agent is strongly sorbed at oil - water interfaces, the highly charged ions are most strongly sorbed at interfaces between water and insoluble materials exhibiting an ionic structure ( see Table 26-2 on p. 1678 ).

Whereas the eighteenth century had been a time in which man sought justice, the nineteenth and twentieth have been centuries in which men are satisfied with law.

Whereas, John Brown has cheerfully risked his life in endeavoring to deliver those who are denied all rights and is this day doomed to suffer death for his efforts in behalf of those who have no helper: Therefore,

Whereas for certain other language families, such as the speakers of Indo-European, Uralic, and Austronesian, we are able to frame substantial hypotheses, in the case of the proposed Altaic family everything remains to be done.

Whereas a biotic stress would include such living disturbances as fungi or harmful insects, abiotic stress factors, or stressors, are naturally occurring, often intangible, factors such as intense sunlight or wind that may cause harm to the plants and animals in the area affected.

Whereas other nations have soothsayers and diviners who attempt to discover the will of their gods, according to Heschel the Hebrew prophets are characterized by their experience of what he calls theotropism — God turning towards humanity.

It exists in four major polymorphs: α, β, γ and T. Whereas α, β and T phases are based on B < sub > 12 </ sub > icosahedra, the γ-phase can be described as a rocksalt-type arrangement of the icosahedra and B < sub > 2 </ sub > atomic pairs.

Whereas the first part of the film takes place in society restrained by law and order, the second part, including the flashback scene, occurs in the world of individuals and thus the characters seen in the first part of the film are revealed in their true form.

Whereas it is paramagnetic at ambient conditions, it becomes antiferromagnetic upon cooling, and other magnetic transitions are also observed for many curium compounds.

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 several figures common to English Country Dance, e. g. arming and the straight hey, are found in the traditional dances and display dances such as morris, ECD's origins rest among the gentry, first at court, then spreading to bourgeois-London, finally moving into country manors around England.

Whereas arithmetic deals with specific numbers and operators ( e. g. 3 + 2 = 5 ), algebra introduces variables, which are letters that represent non-specified numbers ( e. g. 3a + 2a = 5a ).

Whereas most other pure metals are gray or silvery white, gold is yellow.

Whereas a hyponym is one of the items included in the generic, such as peach and oak are included in tree, and cruiser and steamer in ship, " brother " and " sister " in " family ".

Whereas his references to Judah are of a general kind, Ephraim or Samaria being sometimes mentioned in the same connection or more frequently alone, the situation implied throughout and the whole tone of the addresses agree with what we know of the Northern Kingdom at the time, and his references to places and events in that kingdom are so numerous and minute as to lead to the conclusion that he not only prophesied there, but that he was a native of that part of the country.

Whereas Jewish philosophers often debate whether God is immanent or transcendent, and whether people have free will or their lives are determined, Halakha is a system through which any Jew acts to bring God into the world.

Whereas " private property " grants an individual exclusive control over a thing whether it is in use or not, and regardless of its productive capacity, " possession " grants no rights to things that are not in use.

Whereas fracture and cleavage describes the surfaces that are created when a mineral is broken, tenacity describes how resistant a mineral is to such breaking.

Whereas the pH of a saturated morphine hydrate solution is 8. 5, the salts are acidic.

Whereas ' state-driven ' national unification's, such as in France, England or China, are more likely to flourish in multiethnic societies, producing a traditional national heritage of civic nations, or territory-based nationalities.

Whereas games of chance provided the impetus for the mathematical study of probability, fundamental issues are still obscured by the superstitions of gamblers.

Whereas enzymes are limited in their binding affinity for their substrates by the necessity of conducting their reaction, antibodies have no such constraints.

Whereas commercial agreements or prenuptial agreements generally do not require legal formalities to be observed, when married couples enter a property agreement, stringent requirements are imposed, including notarization, witnesses, special acknowledgment forms.

Whereas the written Torah has a fixed form, the Oral Torah is a living tradition that includes not only specific supplements to the written Torah ( for instance, what is the proper manner of shechita and what is meant by " Frontlets " in the Shema ), but also procedures for understanding and talking about the written Torah ( thus, the Oral Torah revealed at Sinai includes debates among rabbis who lived long after Moses ).

Whereas the k-opt methods remove a fixed number ( k ) of edges from the original tour, the variable-opt methods do not fix the size of the edge set to remove.

Whereas Alberti and Trithemius used a fixed pattern of substitutions, Bellaso's scheme meant the pattern of substitutions could be easy changed simply by selecting a new key.

Whereas fixed copper lines have been subject to theft due to the value of copper, optical fibers aren't worth anything as they cannot be converted into something else, whereas copper can be melted.

Whereas the Principal Allied Powers have agreed, for the purpose of giving effect to the provisions of Article 22 of the Covenant of the League of Nations, to entrust to a Mandatory selected by the said Powers the administration of the territory of Palestine, which formerly belonged to the Turkish Empire, within such boundaries as may be fixed by them ;

Whereas there is evidence that the chains listed above are time-progressive, it has, however, been shown that they are not fixed relative to one another.

Whereas the Thach Weave is used as aircraft move towards a point in space, the Lufbery is employed over a fixed point.

Whereas formerly with the Direct Ratio, the quotient between the two terms was fixed, in the Inverse Ratio it becomes alterable.

Whereas some argue that immigrants displace domestic workers, others believe this to be a fallacy, arguing that such a view relies on a belief that the number of jobs in the economy is fixed, whereas in reality immigration increases the size of the economy, thus creating more jobs.

" Whereas Newton observed the colour spectrum cast on a wall at a fixed distance away from the prism, Goethe observed the cast spectrum on a white card which was progressively moved away from the prism ... As the card was moved away, the projected image elongated, gradually assuming an elliptical shape, and the coloured images became larger, finally merging at the centre to produce green.

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 above reciprocity theorems were for oscillating fields, Green's reciprocity is an analogous theorem for electrostatics with a fixed distribution of electric charge ( Panofsky and Phillips, 1962 ).

Whereas fighters are equipped with fixed guns, corvettes have one or more rotating turrets.