Indeed, the spiral Af, with the two endpoints connected by a straight line possesses only one inscribed square.

Indeed most Arminians reject all accusations of Pelagianism ; nonetheless, primarily due to Calvinist opponents, the two terms remain intertwined in popular usage.

Indeed, arrays with one or two indices are often called vectors or matrices, respectively.

Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.

Indeed, his famous discussion of the subject is merely a restatement of Arnauld's doctrine that in the proposition " God is omnipotent ", the verb " is " signifies the joining or separating of two concepts such as " God " and " omnipotence ".

Indeed, the Epimenides paradox is usually classified as a variation on the liar paradox, and sometimes the two are not distinguished.

Indeed, two of the vessels were over fifty years of age, and three over 30 years, with an average age of thirty-five.

Indeed, amongst many ancient writers, Moses himself was seen as an Egyptian rather than a Jew, and two manuscripts likely dating to the 4th century, both of which purport to be the legendary eighth Book of Moses ( the first five being the initial books in the Biblical Old Testament ), present him as a polytheist who explained how to conjure gods and subdue demons.

Indeed, researchers found significant genetic divergence between the two groups, as well as between them and another isolated population of C. a. alleganiensis.

Indeed these last two series were designed specifically for international sales.

Indeed, two of the nearest countries to the islands — South Africa and Namibia — also drive on the left.

Indeed, the power of theta frequency in the EEG increases with working memory load, and oscillations in the theta band measured over different parts of the skull become more coordinated when the person tries to remember the binding between two components of information.

Indeed, on 4 July 1376, two days after Wenceslaus ' election, fourteen Swabian cities bound together into an independent Swabian League to defend their rights against the newly-elected King, attacking the lands of Eberhard II, Count of Württemberg.

Indeed, Beiderbecke had met Hardy and the clarinetist Leon Roppolo in Davenport in 1921 when the two joined a local band and played in town for three months.

Indeed, two roads, which diverged at Othoca ( modern Santa Giusta ) connected Caralis to Turris, the more important keeping inland and the other following the west coast.

Indeed, the correlation of forces and means between the two suggests the possibility of a potential reciprocal nuclear weapon drawdown to low levels consistent with minimum credible deterrence – and, beyond that – to ultimate levels comparable with the nuclear force levels of the other great powers – achievable within the next decade.

Indeed, the first two forms above will yield vacuous truth in any logic that uses material conditional, but there are other logics which do not.

) Indeed, if a space is Hausdorff then it is T < sub > 0 </ sub >, and each T < sub > 0 </ sub > regular space is Hausdorff: given two distinct points, at least one of them misses the closure of the other one, so ( by regularity ) there exist disjoint neighborhoods separating one point from ( the closure of ) the other.

Indeed, modern productions of Shakespeare's plays often reflect the world in which they are performed as much as the world for which they were written: and the Moscow theatre scene in 1994 provided an example, when two very different productions of the play ( those by Sergei Zhonovach and Alexei Borodin ), very different from one another in their style and outlook, were both reflections on the break-up of the Soviet Union.

Indeed, similarly to the definition for formal power series, the coefficient of of two series with respective sequences of coefficients and is

Indeed, two of his children were married to two of hers in a double ceremony in February 1568: Bess's daughter Mary Cavendish, aged 12, was given in marriage to Shrewsbury's eldest son Gilbert, aged 16 ; while Bess's son, Sir Henry Cavendish, aged 18, married Shrewsbury's daughter Lady Grace Talbot, aged 8.

However, a cursory glance at the Proto-Celtic lexicon reveals that * belatu-is reconstructible for Proto-Celtic with the meaning ‘ death ’ and that * kadro-is a reconstructible element meaning ‘ decorated .’ So the name Belatucadros may also be interpreted as a compound of two Gallic words descended from two Proto-Celtic elements * belatu-and * kadro-which together as a compound adjective would literally mean ‘ death-decorated .’ Indeed, this is hardly an original proposal for the meaning of the name of this god associated with Mars: MacCulloch as early as 1911 ( p135 ) glossed this god ’ s name as ‘ comely in slaughter ’.

Indeed, the earliest theories and practices of hypnotism, even those of Braid, resemble the cognitive-behavioural orientation in some respects.

Indeed no less than nine out of seventeen of his mind-body relationship theories are now classified as falling under the category of Neutral monism.

Indeed, Hobbes ' work helped to serve as a basis for the realism theories of international relations, advanced by E. H. Carr and Hans Morgenthau.

Indeed, some theories that predict a variable fine-structure constant also predict that the value of the fine-structure constant should become practically fixed in its value once the universe enters its current dark energy-dominated epoch.

Indeed one factor that distinguishes it from other theories of creativity is that it focuses on not just restructuring as it pertains to the conception of the task, but as it pertains to the worldview as a whole.

Indeed, it was rejected by most conservatives because of Welch's conspiracy theories.

Indeed, these two theories do not necessarily contradict each other, as the Balkan word is said to be derived from the Turkish word haiduk or hayduk ( bandit ), while the Turkish is in turn believed to have been borrowed from Hungarian and to have originally referred to Hungarian mercenaries who guarded the Hungarian-Turkish border.

Indeed, Borochov's vision of class struggle in Palestine was widely viewed as untenable by the 1910s, with Jewish migrants to Palestine struggling to establish an economic foothold and with interclass cooperation seemingly necessary, and his theories dimmed in popularity there.

Indeed, theoretical definitions contain built-in theories ; they cannot be simply reduced to describing a set of observations.

Indeed, it can be argued that the term " institutionalists " was misplaced from the very beginning, since Veblen, Hamilton and Ayres were preoccupied with the evolutionary ( and " objectifying ") forces of technology and institutions had a secondary place within their theories.

Indeed, many contemporary theories postulate that hillforts may not have been the main focus of settlement, but served more as a marketplace-cum-stronghold in times of danger, and in fact most of the time, the population was concentrated in the valleys.

Indeed, the mundane portrayal of Ivan ’ s life coupled with the dramatization of his long and grueling battle with death seems to directly reflect Tolstoy ’ s theories about moral living, which he largely derived during his sabbatical from personal and professional duties in 1877.

Indeed, we must expect that some idealizations admitted by previous theories may not be admitted at all by succeeding theories.

Indeed, for energy-momentum tensors arising from effective field theories on Minkowski spacetime, the averaged null energy condition holds for everyday quantum fields.

Indeed it might be a more appropriate vehicle than NATO for the development of a parliamentary organ of the Atlantic nations, because it could encompass all of the members of the Atlantic community including those, like Sweden and Switzerland, who are unwilling to be associated with an essentially military alliance like Aj.

Indeed, when the proper inorganic constituents are employed, practically any wetting or surface-active agent will do a reasonably good job when present in sufficient amount in a hard-surface cleaning formulation.

Indeed, the failure of home-building as a whole to respond this year to somewhat greater availability of mortgage financing, and the increasing reports of pockets of unsold homes and rising vacancy rates in apartment buildings, may also signal in part that the lush days of big backlog demand for housing are reaching an end.

Indeed, we are forced to go much farther.

Indeed, there are some cities where the suburban shopping pulls customers who are geographically much nearer to downtown.

`` Indeed you are!!

Indeed, bongos are the only Tragelaphid in which both sexes have horns.

Indeed, one such clause can be rewritten as, that is, if are all true, then y needs to be true as well.

Indeed, methods for constructing " objective " ( alternatively, " default " or " ignorance ") priors have been developed by avowed subjective ( or " personal ") Bayesians like James Berger ( Duke University ) and José-Miguel Bernardo ( Universitat de València ), simply because such priors are needed for Bayesian practice, particularly in science.

Indeed, as Rebekah Nathan suggests in her book, My Freshman Year, we are actually drawn to developing communities totally based on sameness, despite stated commitments to diversity, such as those found on university websites.

Indeed, his straightforward nature and barbarism are constants in all the tales.

Indeed, estimates of the number of metabolites in single cells such as E. coli and baker's yeast predict that under 1, 000 are made.

Indeed, in the United States, cross-examination is seen as a core part of the entire adversarial system of justice, in that it " is the principal means by which the believability of a witness and the truth of his testimony are tested.

Indeed, the symbiosis with root fungi is quite common among the order representatives, and there are even three kinds of it which can be found exclusively among Ericales ( namely, ericoid, arbutoid and monotropoid mycorrhiza ).

Indeed, the map of Barsaive and its neighboring regions established that most of the game takes place where the Ukraine and adjacent Russia are in our world.

Indeed, there are few dichotomies in many Indigenous and non-European languages ( Battiste and Henderson 76 ).

Indeed, the difficulties are insurmountable.

Indeed, reported results of people generating EDIF 3 0 0 translators was that the writers were now much more difficult to get right, due to the great number of semantic restrictions, and the readers are comparatively trivial to develop.

Indeed, many traditional singers are quite creative and deliberately modify the material they learn.

In a ring all of whose ideals are principal ( a principal ideal domain or PID ), this ideal will be identical with the set of multiples of some ring element d ; then this d is a greatest common divisor of a and b. But the ideal ( a, b ) can be useful even when there is no greatest common divisor of a and b. ( Indeed, Ernst Kummer used this ideal as a replacement for a gcd in his treatment of Fermat's Last Theorem, although he envisioned it as the set of multiples of some hypothetical, or ideal, ring element d, whence the ring-theoretic term.

Indeed, in the great shakta scripture known as the Devi Mahaamya, all the goddesses are shown to be aspects of one presiding female force, one in truth and many in expression, giving the world and the cosmos the galvanic energy for motion.

Indeed, plants growing in a typical traditional gravel filter bed, with water circulated using electric powerhead pumps, are in effect being grown using gravel hydroponics.