Whereas this apparent pK < sub > a </ sub > is quoted as the dissociation constant of carbonic acid, it is ambiguous: it might better be referred to as the acidity constant of dissolved carbon dioxide, as it is particularly useful for calculating the pH of CO < sub > 2 </ sub >- containing solutions.

Whereas most small molecule solutions exhibit only an upper critical solution temperature phase transition, at which phase separation occurs with cooling, polymer mixtures commonly exhibit a lower critical solution temperature phase transition, at which phase separation occurs with heating.

Whereas Michael Freedman classified topological four-manifolds, Donaldson's work focused on four-manifolds admitting a differentiable structure, using instantons, a particular solution to the equations of Yang-Mills gauge theory which has its origin in quantum field theory.

Whereas an uncharged linear polymer chain is usually found in a random conformation in solution ( closely approximating a self-avoiding three-dimensional random walk ), the charges on a linear polyelectrolyte chain will repel each other ( Coulomb repulsion ), which causes the chain to adopt a more expanded, rigid-rod-like conformation.

Whereas Lenin and other Marxist anti-imperialists such as Immanuel Wallerstein called for an end to the domination of developed nations through international communism, Kara-Murza and his contemporaries in Russia believe that a restriction of free trade ( especially with the West ), and various methods of state intervention in the economy is the best solution.

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 earlier cases turned rather narrowly upon the availability of adequate state remedies, the new emphasis is upon the nature of the state policy at issue.

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 Bultmann's `` center '' position is structurally inconsistent and is therefore indefensible on formal grounds alone, the general position of the `` right '', as represented, say, by Karl Barth, involves the rejection or at least qualification of the demand for demythologization and so is invalidated on the material grounds we have just considered.

Whereas the claim above suggested that Luke was writing to Rome, this view proposes that Luke may be writing to the church in order to convince the saints of his own view that Rome is not a threat to the church.

Whereas the members of Jewish Christianity were circumcised and adhered to dietary laws, the Pauline Christianity featured in Acts did not require Gentiles to be circumcised or to obey all of the Mosaic laws, which is consistent with Noahide Law.

Whereas the structure is not symmetrical, various mode mixities can be introduced in these tests.

The British Statute of Anne ( 1710 ) further alluded to individual rights of the artist, beginning: " Whereas Printers, Booksellers, and other Persons, have of late frequently taken the Liberty of Printing ... Books, and other Writings, without the Consent of the Authors ... to their very great Detriment, and too often to the Ruin of them and their Families :" A right to benefit financially from the work is articulated, and court rulings and legislation have recognized a right to control the work, such as ensuring that the integrity of it is preserved.

Whereas the mass number simply counts the total number of neutrons and protons and is thus a natural ( or whole ) number, the atomic mass of a single isotope is a real number.

Whereas the philosophical approach to consciousness focuses on its fundamental nature and its contents, the medical approach focuses on the amount of consciousness a person has: in medicine, consciousness is assessed as a " level " ranging from coma and brain death at the low end, to full alertness and purposeful responsiveness at the high end.

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

Whereas consequentialist theories posit that consequences of action should be the primary focus of our thinking about ethics, virtue ethics insists that it is the character rather than the consequences of actions that should be the focal point.

Whereas transition metals sometimes attract most of the attention in the study of catalysis, small organic molecules without metals can also exhibit catalytic properties, as is apparent from the fact that many enzymes lack transition metals.

Whereas we say X is an H-set of Z if every cover of X with open sets of Z has a finite subfamily whose Z closure contains X.

Whereas peptidoglycan is a standard component of all bacterial cell walls, all archaeal cell walls lack peptidoglycan, with the exception of one group of methanogens.

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 it was originally called wau, its most common appellation in classical Greek is digamma, while, as a numeral, it was called episēmon during the Byzantine era.

Whereas in the early days of the practice it was considered wrong to construct words to disguise meaning, this is now an accepted and established practice.

Whereas Plato's demiurge is good wishing good on his creation, gnosticism contends that the demiurge is not only the originator of evil but is evil as well.

" Whereas reason and convenience indicate to us an uniform standard for all quantities ; which I shall call the Georigan standard ; and that is only to divide every integer in each species into eight equal parts, and every part again into 8 real or imaginary particles, as far as is necessary.

Whereas the " normal " critical mass for plutonium is about 11. 8 kilograms, with antimatter catalyzed reactions this could be well under one gram.

Whereas Haas for instance combined bits from the 1887 and 1890 versions of Bruckner's Symphony No. 8 in C minor to make his edition of the work, Nowak put out two separate editions for the two versions.

Whereas a complex triple-slotted flap system on a Boeing 747 delivers a coefficient of lift of about 2. 8, external blowing improves this to about 7, and internal blowing to 9.

Whereas the Dataglove can detect yaw, pitch and roll, uses fiber optic sensors to detect finger flexure and has a resolution of 256 positions ( 8 bits ) per finger for four fingers ( the little finger is not measured to save money, for it usually follows the movement of the ring finger ), the Power Glove can only detect roll, and uses sensors coated with conductive ink yielding a resolution of four positions ( 2 bits ) per finger for four fingers.

Whereas Nimrod would produce around 2 µA at 7 GeV, ISIS produces 200 µA at 0. 8 GeV.

Whereas Gold contained a total of 78 registers in 6 windows, Blue contained 138 registers broken into 8 windows of 16 registers each, with another 10 globals.

Whereas the maintenance rotary fund had in the past sustained losses considerably beyond expectations, the introduction of the cost-billing system plus other control refinements has resulted in keeping the fund on a proper working basis.

`` Whereas, a Bridge over Merrimack River, from the Land of Hon'ble Jonathan Greenleaf, Esquire, in Newbery, to Deer Island, and from said Island to Salisbury, would be of very extensive utility, by affording a safe Conveyance to Carriages, Teams and Travellers at all seasons of the year, and at all Times of Tide.

Whereas a high percentage of the regular students can be expected to read other texts which more or less plow the same ground in a little different direction, the married students chose whole books on specific areas and went into much greater detail in their areas of interest.

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 persons of eighth grade education or less were more apt to avoid or be shocked by nudity, those educated beyond the eighth grade increasingly welcomed and approved nudity in sexual relations.

Whereas the primary meanings of the Lo Shu diagram seemed to have been based on its inner mathematical properties -- and we shall see that even its secondary meanings rested on some mathematical bases -- the urgent desire to place everything into categories of fives led to other groupings based on other numbers, until an exaggerated emphasis on mere numerology pervaded Chinese thought.

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 he was aloof and mistrustful before, he now becomes agreeable and tries hard to make friends.

Whereas if a journalist writes exactly the same set of words, intending them as shorthand notes to help him write a longer article later, these would not be a poem.

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 the United States enjoys a long season that generally runs from March to November, other areas often have much shorter seasons.

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.

Whereas the AMD K6-III + topped out at 570 MHz due to its short pipeline, even when built on the 180 nm process, the Athlon was capable of clocking much higher.

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 bishop of the larger administrative district, diocese, came to be called an exarch.

Whereas philosophers merely had views about things, he taught the Noble Eightfold Path which liberates from suffering.

Whereas in the past, the National and American leagues had separate administrative organizations ( which, for example, allowed for the introduction of different rules such as the designated hitter ), under Selig, Major League Baseball consolidated the administrative functions of both leagues into the Commissioner's Office in 2000.

Whereas D & D merged armor with defense, BRP treated them as separate functions: the act of parrying was a defensive skill that reduced an opponent's chance to successfully land an attack, and the purpose of armor was to absorb damage.