( Indeed, every production of a context free grammar is of the form V → w where V is a single nonterminal symbol, and w is a string of terminals and / or nonterminals ( w can be empty )).

Observe first the following: if a is a limit point of S, then any finite collection C of open sets, such that each open set U ∈ C is disjoint from some neighborhood V < sub > U </ sub > of a, fails to be a cover of S. Indeed, the intersection of the finite family of sets V < sub > U </ sub > is a neighborhood W of a in R < sup > n </ sup >.

Indeed, Moore never produced work for the Vertigo imprint-having refused to work for parent company DC in the late 1980s-although his DC-published Swamp Thing work and V for Vendetta reprint-maxiseries were subsequently collected as Vertigo-issued TPBs, while the Hellblazer solo title dealt with the character co-created by Moore, but never written by him.

Indeed this rendering is suggested in the margin of the A. V.

Indeed, if V is any smooth region, then by Gauss's law the flux of the electrostatic field E is equal to the charge enclosed ( in appropriate units ):

Indeed, this follows since just as the image of a vector subspace under a linear transformation is a subspace, so is the image of V under L. But the only subspaces ( i. e., k-subspaces ) of k are

Indeed, if G acts on a vector space V over F, each simultaneous eigenspace for every element of G, if such exists, determines a multiplicative character on G ; the eigenvalue on this common eigenspace of each element of the group.

Indeed, Packard Bell B. V. still enjoys a relatively good reputation ; its products, for example, are stocked by John Lewis, a British retailer of high-end consumer goods.

Indeed, if one introduces for g in G a lifted element L ( g ) in lifting from PGL ( V ) back to GL ( V ), the lifts must satisfy

Indeed if V is a compact neighborhood of the identity, let f < sub > V </ sub > be a non-negative continuous function supported in V such that

Indeed, in 1448, the King of Naples Alfonso V of Aragon appealed to Skanderbeg in suppressing a revolt at Naples.

Indeed the simplest definition of a voltage is given by Ohm's law: V = IR, where V is voltage, I is current and R is resistance.

Indeed, in a 2011 review of " I Want My MTV " by Craig Marks and Rob Tannenbaum, Dwight Garner recalled: " Every sentient straight male in the country developed a schoolboy crush on Martha Quinn, one of the first V. J.

Indeed, the Great Western Railway named a whole class of locos after the Kings of Britain and England working backwards from the then current monarch, King George V. Monarchs of other countries were also honoured, though often generically ( e. g. The Belgian Monarch ).

Indeed, you wouldn't live long, for the females either drive the men they've seized from neighboring islands back to their boats after exploiting them for amatory purposes, or they destroy them by revolting but ingenious methods.

Indeed, the old Jeffersonians were far more atune to the Hamilton-oriented Whigs than they were to the Jacksonian Democrats.

Indeed, it seems that only in today's Southern fiction does Tobacco Road, with all the traditional trimmings of sowbelly and cornbread and mint juleps, continue to live -- but only as a weary, overexploited phantom.

Indeed, it is probable that this point is reached the moment the third level of change begins.

Indeed, in the Halma edition of Theon's presentation of The Hypotheses there is a chart setting out ( under six distinct headings ) otherwise unrelated diagrams for describing the planetary motions.

Indeed, he looked more like a well-fleshed lay brother of the Hospice of St. Bernard.

Indeed, he concluded that `` geographical conditions have exercised a great, possibly a preponderating, influence over man's destiny ''.

Indeed, again and again, the space merchants confirm the prediction of the humanists that the conditioners and behavioral scientists, once they have seen through human nature, will have nothing except their impulses and desires to guide them.

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 no.

Indeed, as already noted, the Court proceeded on the assumption that the executives involved in the dealings between Du Pont and General Motors acted `` honorably and fairly '' and exercised their business judgment only to serve what they deemed the best interests of their own companies.

Indeed, if pressed, we would say what the late Robert Henri, American painter, said to a pupil, `` Anything will do for a subject: it's what you do with it that counts ''.

Indeed, a lighter weight works much better because a greater, more extensive split can be performed.

Indeed, it has only been a matter of the last few years that reputable schools of art have granted degrees at all.

Indeed it is possible to separate electron paramagnetic from nuclear effects.

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 experiment is better viewed as consisting of one binomial trial for the entire family.

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

Indeed their achievement scores were somewhat better on an absolute basis although the difference was not significant.

( Indeed, the set of endings can be replaced by the name of a set of endings.

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, the apparent stiffening of the industry's attitude in the recent steel strike has a direct explanation in terms of the model here presented.

Indeed, with developed positivism, the separation of law from justice, or from morality generally, became quite specific.

Indeed, contract was the dominant legal theme of the century, the touchstone of the free society.

Indeed, a study of the individual child is an integral part of the work of the elementary-school teacher, rather than merely an additional chore.

Indeed, after something like thirty years ' experience of international conferences of one kind and another, if I had to pick a team for going into a conference room, Stalin would be my first choice.

Indeed, his father recognized that Jack was a far better painter than he, and also believed that ' some day I will be remembered as the father of a great poet, and the poet is Jack '.

Indeed, it is the only course I could take to be faithful to what I believe.

Indeed Horace begins the first poem of his Odes ( Odes I. i ) by addressing his new patron.

For one example, he expressed this playfulness in what is perhaps his most famous rhyme, a twist on Joyce Kilmer's verse: " I think that I shall never see / a poem lovely as a tree ", which drops " billboard " in place of poem and adds, " Indeed, unless the billboards fall / I'll never see a tree at all.

Indeed, the renowned physicist Richard Feynman once said, " I think I can safely say that nobody understands quantum mechanics.

Indeed, El Cid's first battle experience was gained fighting for a Muslim state against a Christian state, at the Battle of Graus in 1063, where he and other Castilians fought on the side of al-Muqtadir, Muslim sultan of Zaragoza, against the forces of Ramiro I of Aragon.

Indeed, such was the perceived threat of the Ottoman Empire under the reign of Suleiman that ambassador Busbecq warned of Europe's imminent conquest: " On Turks ' side are the resources of a mighty empire, strength unimpaired, habituation to victory, endurance of toil, unity, discipline, frugality and watchfulness ... Can we doubt what the result will be ?... When the Turks have settled with Persia, they will fly at our throats supported by the might of the whole East ; how unprepared we are I dare not say.

Indeed, he later recalled with apparent satisfaction that after that first recruitment meeting in Galena, ' I never went into our leather store again, to put up a package or do other business ..." During this time Grant quickly perceived that the war would be fought for the most part by volunteers, and not professional soldiers.

Indeed, I think that there is a real need, in formalism and elsewhere, to link our understanding of mathematics with our understanding of the physical world.

Indeed, she wrote in a letter: " The world has used me so unkindly, I fear it has made me suspicious of everyone.

Indeed the biological father of Leo VI the Wise ( Basil IIs great-grandfather ) was possibly not Basil I, but Michael III.

" Indeed, Rav Ashi was the man destined to undertake a task similar to that which fell to the lot of Judah I.

Indeed, Brown I itself did not need to rely upon any psychological or social-science research in order to announce the simple, yet fundamental truth that the Government cannot discriminate among its citizens on the basis of race.

Indeed, there was a plot in 993, masterminded by Adalberon, Bishop of Laon and Odo I of Blois, to deliver Hugh Capet into the custody of Otto III.

Indeed, Sir Toby in Twelfth Night is seen saying, in reference to Sir Andrew's hair, that " it hangs like flax on a distaff ; and I hope to see a housewife take thee between her legs and spin it off ;" the Nurse in Romeo and Juliet says that her husband had told Juliet when she was learning to walk that " Yea, dost thou fall upon thy face?

" Indeed, I believe the assertion that there is such a doctrine lends greater coherence to the administration's policies than they deserve.

Indeed, Marie Curie pushed for radiography to be used to treat wounded soldiers in World War I.

Indeed, with fear and terror I imagine the time, when those dark iconoclasts come to power: with their raw fists they will batter all marble images of my beloved world of art, they will ruin all those fantastic anecdotes that the poets loved so much, they will chop down my Laurel forests and plant potatoes and, oh !, the herbs chandler will use my Book of Songs to make bags for coffee and snuff for the old women of the future – oh !, I can foresee all this and I feel deeply sorry thinking of this decline threatening my poetry and the old world order-And yet, I freely confess, the same thoughts have a magical appeal upon my soul which I cannot resist ….