Indeed, we should say, on the contrary, that the accident of our later discovery made no difference whatever to the badness of the animal's pain, that it would have been every whit as bad whether a chance passer-by happened later to discover the body and feel repugnance or not.

Indeed, of all that is his every man is by nature and reason and therefore by conscience obligated to regard himself as a custodian.

( 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.

Another way to describe G-sets is the functor category, where is the groupoid ( category ) with one element and isomorphic to the group G. Indeed, every functor F of this category defines a set X = F and for every g in G ( i. e. for every morphism in ) induces a bijection F < sub > g </ sub >: X → X.

Indeed, as Edward Muir points out, “ by the sixteenth century virtually every word, gesture and act that the doge made in public was subject to legal and ceremonial regulation ”.

Indeed his treatment of what he calls " political justice " derives from his discussion of " the just " as a moral virtue derived as the mean between opposing vices, just like every other virtue he describes.

Indeed merely identifying every one of those systems may be difficult.

Since every central subgroup is normal, it follows that every minimal normal subgroup of a finite p-group is central and has order p. Indeed, the socle of a finite p-group is the subgroup of the center consisting of the central elements of order p.

Indeed, the nuclear reactions in stars produce every naturally occurring chemical element.

Indeed, the Heine – Borel definition of compactness — that every covering of a space by open sets admits a finite subcovering — is relatively recent.

Indeed, the conditions surrounding every instance of friction ridge deposition are unique and never duplicated.

Indeed, on Yom Kippur, the Shofar was sounded to announce the Jubilee Year ( every 50 years, Jews were granted forgiveness, debts were forgiven, indentured Israelites were granted freedom, and the fields " shall become owned by the priests.

" Indeed, there is now every indication that the late precontact Huron and their immediate antecedents developed in a distinct Huron homeland in southern Ontario along the north shore of Lake Ontario.

Indeed, the concept of self-esteem is approached since then in humanistic psychology as an inalienable right for every person, summarized in the following sentence:

Indeed, Muhammad Yunus propagated the notion that every person has the potential to become an entrepreneur.

* Indeed, every Polish space

Indeed some Greeks might have had every reason to hate the Romans, who had devastated their home, robbed temples and public buildings, decimated the population and brought many Greeks to Rome as slaves.

Indeed, every issue provided brief write-ups of game ideas, and SPI would design the games which received the highest ratings.

Indeed, in theory, an entire match could be played with no change of service, the same player serving every point.

Indeed, in every lion I saw during our searches I recognized the intrinsic nature of Elsa, Jespah, Gopa and Little Elsa, the spirit of all the magnificent lions in Africa ".

Indeed each incidence structure gives a spherical building of rank 2 ( see ); and Ballmann and Brin proved that every 2-dimensional simplicial complex in which the links of vertices are isomorphic to the flag complex of a finite projective plane has the structure of a building, not necessarily classical.

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, Li ' l Abner incorporates such a panoply of characters and ideas that it defies summary ," according to cultural historian Anthony Harkins.

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, the format is ideally suited to such analysis because the viewer is afforded the opportunity to see how a person reacts on the outside through the constant recording of their actions and also what they feel on the inside through the Diary Room / Confession Room.

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, scholars have referred to the presence or absence of such features as one source of evidence for dating the remains.

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, the ancient Greeks attributed the lack of large mammals such as bears, wolves, jackals, and poisonous snakes, to the labour of Hercules ( who took a live Cretan bull to the Peloponnese ).

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, 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, 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, a number of studies dispute the reality of this statistical distinction or its increasing occurrence, or both, either arguing the reliable record is too short to detect such a distinction, finding no distinction or trend using other statistical approaches, or that other types should be distinguished, such as standard and extreme El Niños.

Indeed, between parody, satire and such subgenres as romantic comedy, comedy as a whole often relies on either formulaic elements, or the mocking of such elements.

Indeed, according to various historical accounts, after that point few mathematicians tackled the issues and the work of those who did remained obscured largely because of resistance to such unfamiliar emerging concepts, which were sometimes referred to as mathematical " monsters ".

" ( Indeed, it is not unusual for such conjunctions to be true — for example, whenever one is wrong about the weather forecast.

Indeed, the usefulness of this area of mathematics to linguistics has borne organizations such as TextGraphs, as well as various ' Net ' projects, such as WordNet, VerbNet, and others.

Indeed, subsequently, new confederations appear such as Kutrigur, Utigur, Onogur / ( Onoghur ), Sarigur, etc., which were collectively called " Huns "," Bulgarian Huns ", or " Bulgars ".

Indeed, the similarities between harmonicas and so-called " diatonic " accordions or melodeons is such that in German the name for the former is " Mundharmonika " and the later " Handharmonika ," which translate as " mouth harmonica " and " hand harmonica.

Indeed some, such as consultants and providers of investment services, offer no guarantees of the value for price paid.

Indeed " he people of Southern Europe, as well as South-East Asia, will be fighting their way into countries such as Canada, Australia and Britain ".