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

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

Indeed, one can assume that exactly one parallel through a point outside a line exists, or that infinitely many exist.

Indeed, the International Committee for Weights and Measures ( CIPM ) notes that " its definition applies only within a spatial extent sufficiently small that the effects of the non-uniformity of the gravitational field can be ignored.

Indeed, Disraeli had objected to Murray about Croker inserting " high Tory " sentiment, writing that " it is quite impossible that anything adverse to the general measure of Reform can issue from my pen.

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

Indeed, it turns out that numerous important constructions can be described in a purely categorical way.

( 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 )).

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 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, Winograd showed that the DFT can be computed with only irrational multiplications, leading to a proven achievable lower bound on the number of multiplications for power-of-two sizes ; unfortunately, this comes at the cost of many more additions, a tradeoff no longer favorable on modern processors with hardware multipliers.

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 it can be shown that any Q-automorphism must preserve the ordering of the real numbers and hence must be the identity.

Indeed, the importance of the concepts of good and evil can be regarded as distinguishing mark between high fantasy and sword and sorcery.

Indeed, an intuitive summary of inertial frames can be given as: In an inertial reference frame, the laws of mechanics take their simplest form.

Indeed, the entrenched nature of command-and-control can be seen in the way that recent layoffs have been conducted with management ranks affected far less than employees at the lower levels.

Indeed, this can be extended to the observation that introducing a DNA-binding sequence within the nucleosome increases the accessibility of adjacent regions of DNA when bound.

Indeed, he argues that any course of action can be made out to accord with some particular rule, and that therefore a rule cannot be used to explain an action.

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

Indeed Ingram's influence on Powell's later work can be detected, especially in its themes in illusion, dreaming, magic and the surreal.

Indeed, the scientific method, and the scientists themselves, can be prepared in many other ways to harness luck and make discoveries.

* " Indeed men too often take upon themselves in the prosecution of their revenge to set the example of doing away with those general laws to which all can look for salvation in adversity, instead of allowing them to subsist against the day of danger when their aid may be required " ( Strassler 201 / 3. 84. 3 ).

Indeed Fermat's principle does not hold standing alone, we now know it can be derived from earlier principles such as Huygens ' principle.

i. e., z is a vector orthogonal to the vector v ( Indeed, z is the projection of u onto the plane orthogonal to v .) We can thus apply the Pythagorean theorem to

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 richer humor is to be found in the whole of American literature than in the letters of the semi-literate men who wore the blue and the gray.

Indeed, he must consider himself no less guilty than this poor bishop ; at least to the extent that he made no concealment of his wish that all synagogues should be destroyed, that no such places of blasphemy be further allowed to exist.

Indeed, naive set theory might be said to be based on this notion.

Indeed, scientific consensus is that the breeding population of such an animal would be so large that it would account for many more purported sightings than currently occur, making the existence of such an animal an almost certain impossibility.

Indeed, based on their previous experience of the Greeks, the Persians might be excused for this ; Herodotus tells us that the Athenians at Marathon were " first to endure looking at Median dress and men wearing it, for up until then just hearing the name of the Medes caused the Hellenes to panic ".

Indeed, the ethical value of ( negative ) freedom is grounded on the idea that conscience cannot be coerced, and is thus the ultimate standard of morality.

Indeed, Robert Spitzer, a past editor and leading proponent of scientific impartiality in the DSM, conceded that a significant reason that certain diagnoses ( the paraphilias ) would not, in his opinion, be removed from the DSM is because " it would be a public relations disaster for psychiatry ".

Indeed, many years after St. Dominic reacted to the Cathars, the first Grand Inquistor of Spain, Tomás de Torquemada, would be drawn from the Dominican order.

Indeed, there was little sense in which the Bahr Negash could be said to " control " the area.

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

Indeed, after finishing third in the 1926 season, it was to be 14 years before Essendon would even contest a finals series.

Indeed, some Bayesians have argued the prior state of knowledge defines the ( unique ) prior probability-distribution for " regular " statistical problems ; cf.

Indeed, proponents of ethical naturalism have argued that humanity needs to invest in their science of morality – although the existence of such a science is debated.

( Indeed Arnauld's contemporary Descartes famously argued so, regarding the concept " God " ( discourse 4, Meditation 5 )).

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, it has recently been argued that low protein diets cause poor bone health.

Indeed, it has been argued that iron ore is " more integral to the global economy than any other commodity, except perhaps oil ".

Indeed, " some social theorist have argued that the late-20th century preoccupation with the self serves as a tool of social control: soothing political unrest ... one's own pursuit of self-invention.

Indeed, it has been argued, that their future success in operations such as " Overlord " was in part due to the early failures such as " Ambassador " as many lessons were learned as a result of these failures that proved vital in the planning and conduct of future Commando operations.

" Indeed it has also been argued that although parts of its ideology overlapped with fascism the LEL was in fact much too reactionary to be considered truly fascist, given the revolutionary nature of that ideology.

Indeed it has been argued that the shape of the feeding traces is incompatible with a radula, and that despite the molluscan body form, the lack of this synapomorphy places it well outside the molluscan crown group.

Indeed, in a 2005 article, E. O. Wilson argued that kin selection could no longer be thought of as underlying the evolution of extreme sociality, for two reasons.

Indeed, he argued that the Qur ' an alone was sufficient as a basis for Islam.

Indeed, it could be argued that many failures in the early days of Balanced Scorecard could be attributed to this problem, in that early Balanced Scorecards were often designed remotely by consultants.

Indeed, some have argued that divine command theory is incompatible with ordinary conceptions of moral supervenience.

Indeed, some black leaders argued that the flood was ultimately beneficial for the city's black community.

Indeed, abolitionists and others argued both before and after " Scott " that the Due Process Clause actually prohibited the federal government from recognizing slavery.

Indeed, many scholars have argued that the government has been overstating the role of the fire in the history of public housing in Hong Kong.

Indeed, it can be argued that self-reference is a necessary consequence of Aristotle's Law of non-contradiction, a fundamental philosophical axiom.

Indeed, it could be argued that lesbian feminism pre-empted if not laid the groundwork for queer theory to posit sexuality as culturally specific.

Indeed, it can be argued that the very process of consciously designing a building makes it not vernacular.

Indeed, it can be argued that Ayres was not an " institutionalist " in any normal sense of the term ; since he identified institutions with sentiments and superstition and in consequence institutions only played a kind of residual role in this theory of development which core center was that of technology.

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, the Commune's vision of a communal France based on a federation of delegates bound by imperative mandates issued by their electors and subject to recall at any moment echoes Bakunin's and Proudhon's ideas ( Proudhon, like Bakunin, had argued in favour of the " implementation of the binding mandate " in 1848 ... and for federation of communes ).

Indeed Schumacher says it could be argued that only humans are the truly ' real ', given only they experience all the levels of being.