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

Indeed, the expert system quickly developed in front of the expert shows him if the future application should be programmed.

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 it has been noted it is difficult if not impossible to define one category without contrasting it with the other.

Indeed it was argued that, if the nature of reality itself was in question, and if previous restrictions which had been in place around human activity were dissolving, then art, too, would have to radically change.

Indeed, in 1603 Johann Bayer gave three of these clusters designations as if they were single stars.

Indeed, even if the photoelectric effect is the favoured reaction for a particular single-photon bound-electron interaction, the result is also subject to statistical processes and is not guaranteed, albeit the photon has certainly disappeared and a bound electron has been excited ( usually K or L shell electrons at nuclear ( gamma ray ) energies ).

Indeed, if a husband had no natural brothers, he would adopt another man to be his brother so that he would be allowed to marry.

" Indeed, Diodorus goes so far as to say that " But if any man, putting envy aside, will estimate closely not only the man's natural gifts but also his achievements, he will find that on both counts Themistocles holds first place among all of whom we have record.

Indeed, if ( A, φ ) is an initial morphism and k: A → A ′ is any isomorphism then the pair ( A ′, φ ′), where φ ′ =

Indeed, if the sapling dies, the mature tree gains nutrients from the decaying sapling.

As historian Richard Lane concludes, " Indeed, if there is one work that made Hokusai's name, both in Japan and abroad, it must be this monumental print-series ...".

Indeed, a totally ordered set ( with its order topology ) is compact as a topological space if it is complete as a lattice.

Indeed, those who refused to leave were generally removed from their barracks, sometimes by force, even if they had no place to go.

Indeed, a set is nowhere dense if and only if its closure is nowhere dense.

) 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, if the order the winning cards are placed is fixed it is possible to create an infinite loop wherein neither side will win and the game will not end.

Indeed, even if the interest of the bonds it holds ( for example ) is paid semi-annually, the value of its book of bond will increase daily, thanks to accrued interest being accounted for, and therefore the bank will be able to re-invest these daily accrued interest ( by lending additional money or buying more financial products ).

Indeed if:, and

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, the effect was quite the contrary, psychology began to thrive: " perhaps, in the early days of scientific progress, a subject often grows all the more surely if its workers have to meet difficulties, improvise their apparatus, and rub very close shoulders one with another.

Indeed the curl is in the positive z direction for negative x and in the negative z direction for positive x, as expected.

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, the center consists solely of the identity element and x < sup > 2 </ sup >.

Indeed, the closed form expression can often be interpreted as a function that can be evaluated at ( sufficiently small ) concrete values of x, and which has the formal power series as its Taylor series ; this explains the designation " generating functions ".

Indeed, any " point " p < sub > x </ sub >: 1 → X in Top is mapped to a morphism Ω ( p < sub > x </ sub >): Ω ( X ) → Ω ( 1 ).

Indeed it is a free Z-module, and thus has an integral basis, that is a basis b < sub > 1 </ sub >,..., b < sub > n </ sub > ∈ O < sub > K </ sub > of the Q-vector space K such that each element x in O < sub > K </ sub > can be uniquely represented as

Indeed, thanks to the comparison of total degree first, the reversal of subsequent comparisons can be interpreted informally as follows: the monomial with a smaller power of x < sub > n </ sub > necessarily has a higher power of some ( unspecified ) x < sub > i </ sub > with i < n ( indeed it has greater total degree with respect to all indeterminates other than x < sub > n </ sub >).

Indeed, consider a point in the plane, say ( x < sub > 0 </ sub >, y < sub > 0 </ sub >).

Indeed, interchanging the roles of x and y and gathering terms,

Indeed, consider the additive polynomials ax and x < sup > p </ sup > for a coefficient a in k. For them to commute under composition, we must have

Indeed, if the surface is given a Riemannian metric, each point x is contained inside a small convex geodesic triangle lying inside a normal ball with centre x.

Indeed, for any x < sub > 0 </ sub > the values f < sub > n </ sub >( x < sub > 0 </ sub >) cannot be bounded as n tends toward infinity.

: Indeed, the only if part is clear, since each of the n functions x < sup > 1 </ sup >,..., x < sup > n </ sup > is a smooth function from M to.

Indeed, let f ( x )= x < sup > 2 </ sup >- a.

Indeed, the first great discovery in the field was in 1986 by T. Story and co-workers where they demonstrated that the ferromagnetic Curie temperature of Mn < sup > 2 +</ sup >- doped Pb < sub > 1-x </ sub > Sn < sub > x </ sub > Te can be controlled by the carrier concentration.

Indeed, Spanish intellectuals between the 19th and 20th centuries complained about the similar pan y toros (" bread and bullfights ").

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

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

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

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.