Instead they are dominated by generally older, more evolved stars that are orbiting the common center of gravity in random directions.

Instead of describing a process which can only evolve in one way ( as in the case, for example, of solutions of an ordinary differential equation ), in a stochastic or random process there is some indeterminacy: even if the initial condition ( or starting point ) is known, there are several ( often infinitely many ) directions in which the process may evolve.

Instead of revealing a new companion, the third door ( labeled " The Pusher ") instead reveals a new adversary for Roland: Jack Mort, a sociopath who takes sadistic pleasure in injuring and killing random strangers — and the man responsible for the head trauma that created Odetta Holmes's alternate personality, the loss of Odetta / Detta's legs, and the death of Jake Chambers.

Instead of firing the exhaust out of a small hole in the middle of a bell, an aerospike engine avoids this random distribution by firing along the outside edge of a wedge-shaped protrusion, the " spike ".

Instead, DRAM memories came onto the market in the early 1970s that rapidly replaced all previous random access memory systems.

Instead of simply sending out photons in random directions, they are sent in the direction of a known object that is a desired photon manipulator to either focus or diffuse the light.

Instead, he took all the random clips and put it in a database, which Svilova later edited.

Instead, a zone of breccia or cataclasite is formed, with the rock milled and broken into random fragments.

Instead of a random or constant output intensity, the modes of the laser will periodically all constructively interfere with one another, producing an intense burst or pulse of light.

Instead, the population is continuous ; however, mating is not random.

Instead, each movement is predetermined in a seemingly random pattern, but is actually a predetermined pattern.

Instead of dealing with only one possible reality of how the process might evolve under time ( as is the case, for example, for solutions of an ordinary differential equation ), in a stochastic or random process there is some indeterminacy in its future evolution described by probability distributions.

Instead of random questions, players ' buzz in ' to set the amount of money the question is worth.

Instead of calling a random person in a city, the host calls a bartender in a random pub within the UK to host the question.

Instead, to break the random oracle assumption, one must discover some unknown and undesirable property of the actual hash function ; for good hash functions where such properties are believed unlikely, the considered protocol can be considered secure.

Instead, they rely on a few simple algorithms such as spiral cleaning ( spiraling ), room crossing, wall-following and random walk angle-changing after bumping into an object or wall.

* Instead of simply giving the purported proof to the verifier on a tape, give it random access to the proof.

Instead of using random or system generated part numbers at specific locations to count, they selectively choose specific locations and count everything in those locations.

Instead, he notes that Richardson's empirical law is compatible with the idea that geographic curves, such as coastlines, can be modelled by random self-similar figures of fractional dimension.

Instead, if actively observed for a few minutes, one becomes aware of an apparent disorganized motion, a random field of lightness / darkness that overlays the redness / blackness of your closed eyelids.

Instead of generating random paths, new sampling paths are created as slight mutations of existing ones.

Instead a different process, that of producing an alternative book, led to the publication of Series 1, 2 and 3 in the 1960s, the 1980 Alternative Service Book and subsequently to the 2000 Common Worship series of books.

Instead the differentiation process is studied using E. invadens, a reptilian parasite that causes a very simiilar disease to E. histolytica and which can be induced to encyst in vitro.

Instead, during the upload process, the files are broken into chunks and stored on a variety of other computers on the network.

Instead, France's economic growth and industrialisation process was slow and steady along the 18th and 19th centuries.

Instead, it referred to the process of one's training-the strengthening of the body and the mind, the learning and the perfection of one's skills-rather than to what was being trained.

Instead, doctors encourage immediate abstinence from drug use, rather than the gradual process that methadone substitution therapy entails.

Instead, bombarding < sup > 238 </ sup > U with slow neutrons causes it to absorb them ( becoming < sup > 239 </ sup > U ) and decay by beta emission to < sup > 239 </ sup > Np which then decays again by the same process to < sup > 239 </ sup > Pu ; that process is used to manufacture < sup > 239 </ sup > Pu in breeder reactors.

Instead of the accumulation of knowledge, a time-based, conditioning function he identified with the past, he stressed observation as a continuous process of learning, a timeless process that happens always in the present.

Instead of seeing perception as a passive process determined entirely by the features of an independently existing world, enactivism suggests that organism and environment are structurally coupled and co-determining.

Instead of resisting the admission of this paradox in the search for understanding, Heidegger requires that we embrace it through an active process of elucidation he called the " Hermeneutic Circle ".

Instead of conscious planning, the Soviet economy was based on a process whereby the plan was modified by localized agents and the original plans went largely unfulfilled.

Instead, Leninism advocates the concept of democratic centralism as a process to ensure the voicing of concern and disagreement and to refine policy.

Instead they grow the set as the search process continues.

Instead of moving, a Bomb need merely explode to effect the destruction of both friendly pieces and enemy pieces adjacent to itself, and suiciding in the process.

Instead they proposed a rule based on a partially computable process which having read any N elements of the sequence, decides if it wants to select another element which has not been read yet.

Instead of relying on reading ingredients on labels, Orthodox Jews require their manufactured and processed food to be certified or checked ( year round ) to see that it qualifies with Halacha in both the ingredients and tools used to process and manufacture the food.

Instead, paper cartridges were used mainly because they sped up the loading process.

Instead, he saw the later period of the 19th century imperialism as a degenerative process in European civilization.

Instead of emotional recrimination, loaded phrases and sloganeering, we need a dispassionate study of the facts, a better understanding of the opposite viewpoint and a more serious effort to extend the areas of agreement until a solution is reached.

Instead of Catholics' being obliged or even encouraged to beget the greatest possible number of offspring, as many Non-Catholics imagine, the ideal of responsible parenthood is stressed.

Instead -- and not just to prove my objectivity -- I hasten to report that it's a highly amusing film which probably does a fairly accurate job of reporting on the Easter vacation shenanigans of collegians down in Fort Lauderdale, and that it seems to come to grips quite honestly with the moral problem that most commonly vexes youngsters in this age group -- that is to say, sex.

Instead of her old confidence in the simplest, purest, most moving musical expression, Miss Schwarzkopf is letting herself be tempted by the classic sin of artistic pride -- that subtle vanity that sometimes misleads a great artist into thinking that he or she can somehow better the music by bringing to it something extra, some personal dramatic touch imposed from the outside.

Instead, the element is prepared, in milligram amounts, by the neutron irradiation of < sup > 226 </ sup > in a nuclear reactor.

Instead, providence is a power that emanates from the heavens to the sublunar region, and is responsible for the generation and destruction of earthly things, without any direct involvement in the lives of individuals.

Instead, it is negotiated by or configured at the endpoints on a per-virtual-connection basis.

Instead of the gradual transition through the capillaries from arteries to veins that is typical of normal functioning vasculature, AVMs cause direct associations of the arteries and veins.

Since the 2002 edition, the Apostles ' Creed is included in the Roman Missal with the indication, " Instead of the Niceno-Constantinopolitan Creed, especially during Lent and Easter time, the baptismal Symbol of the Roman Church, known as the Apostles ’ Creed, may be used.

Instead, it is put in parallel with chapter 4 ( C ) where divine judgements are pronounced against the Babylonian kings.

Instead, the Hebrew name Ahasuerus accords with an inscription of the time that notes that Artaxerxes II was named also Arshu, understood as a shortening of Achshiyarshu the Babylonian rendering of the Persian Khshayarsha ( Xerxes ), through which the Hebrew Achashverosh ( Ahasuerus ) is derived.

Instead, Pasternak was told, " Comrade Stalin is busy.

Instead it is part of the Intelligence and Security Directorate ( DIS ) which reports directly to the Minister of the Presidency.

Instead, murder is treated as a civil crime and is covered by the law of retaliation, whereby the relatives of the victim decide whether the offender is punished with death by the authorities or made to pay diyah as compensation.

Instead of listing every single element, sometimes an ellipsis ("...") is used, if the writer believes that the reader can easily guess what is missing ; for example, presumably denotes the set of integers from 1 to 100.

Instead, these efforts, it is argued, were made in order to advance Western development and reinforce Western hegemony.

Instead, the decree states that Christ is " really, truly, substantially present " in the consecrated forms.

Instead, non-return-to-zero, inverted encoding is used: a change from pit to land or land to pit indicates a one, while no change indicates a series of zeros.

Instead, it is important that support for the CRM system is companywide.

Instead, this is just an indication that sugar and / or fat has separated due to poor storage.