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, one school superintendent in a large city objects to the use of the term comprehensive high school for the senior high schools in his city, because these schools do not offer strictly vocational programs.

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

Indeed, one of the many famous passages of the Inquiry was on the topic of the incorrigibility of human custom.

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

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

Indeed, even after 1790 Mozart writes about " the rehearsal ", with the implication that his concerts would have only one.

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

Indeed, Catullus was never considered one of the canonical school authors, although his body of work is on the reading lists for American Ph. D. programs in the classics, and is still taught at secondary school level in the United Kingdom.

Indeed the good cross-examiner gets a witness to assert to a series of linked propositions culminating in one that undermines that witnesses ' evidence rather than pursuing an antagonistic approach.

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 first use of these terms is in Languedoc, one of the least Germanized areas of Europe and bordering Muslim Spain.

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

Indeed one of the alternative names for the region was the Slave Coast.

Indeed, the observable universe is far too small to contain an ordinary digital representation of Graham's number, assuming that each digit occupies at least one Planck volume.

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, 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 one of the main roles of the bishops in the early Church was to determine and retain important correct beliefs, and refute contrarian opinions, known as heresies.

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 relationship with the hermit has been interpreted as a same-sex marriage that heterosexual society will not tolerate: " No mistake — this is a marriage, and a viable one ", writes cultural critic Gary Morris for Bright Lights Film Journal.

Indeed, one of the most widespread pastimes of the population is picking Bilberries, Cranberries, mushrooms, and other bounties of the natural environment.

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

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, 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 it can be argued the country has never been independent since there is an arguable legitimate succession of states, systems and entities from the Norman Conquest, 1066.

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, 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