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, a random process is a sequence of random variables describing a process whose outcomes do not follow a deterministic pattern, but follow an evolution described by probability distributions.

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 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 of just studying Halakha, Louis Ginzberg wrote responsa, formal responses to questions of Jewish law.

Instead, a student's performance is related in absolute terms: " Jane knows how to write the letters of the alphabet " or " Jane answered 80 % of questions correctly " instead of " Jane answered more questions correctly than Mary.

Instead appealing to others could be interpreted as the solipsist fulfilling its own rules it itself created ( this leads to interesting questions as to why the solipsist's rules would require it to reach agreements in a code the solipsist made with agents the solipsist created for the personal gratification of the solipsist ).

Instead, in an attempt to save the Prince from any embarrassment, he declared that he had no questions for His Royal Highness, thus saving the Prince's honour.

Instead of each family member going up to answer a question, only one person on each team was required and the two contestants participated in all three questions.

Instead, agroecologists may study questions related to the four system properties of agroecosystems: productivity, stability, sustainability and equitability.

Instead of asking “ What ’ s the problem ?”, some other methods couch the question in terms of challenges, which AI argues maintains a basis of deficiency, the thinking behind the questions assuming that there is something wrong, or that something needs to be fixed or solved.

Instead, the one member who had a vote only on legislative questions came to be appointed by the Sovereign, and the other three members by the Secretary of State for India.

Instead, CWA is suggesting that because there are questions about the long term effect of the vaccine, parents, not the government should be making this decision.

Instead, the posts discussed time travel in general, the first one being the " six parts " description of what a time machine would need to have to work ( see below ) and responses to questions about how such a machine would work.

Instead, the contestant was strapped to a spinning circular platform surrounded by ten numbered television monitors and was asked ten questions ( usually about TV ).

Instead, the articles that established the Conferation simply suggested that trade and transportation questions be discussed at a later date.

Instead, the player is asked a series of a questions, ostensibly by the police, to prove that Laura had solved the crimes and discovered the secrets of the other suspects.

Instead of asking questions of their potential date, the bachelor / bachelorette was presented with two pun-laden statements, each pertaining to one of the potential dates.

Instead he implies questions, such as "... it is not so clear how small a palace can be ... What we can infer from the palace buildings is that there are administrative centres ... each centre of administration implies an administrator, whether he be an independent monarch, a semi-autonomous prince, or a local baron ...."

Instead of retelling the story, it chooses to answer a few questions the anime never did concerning Edmond Dantes ' time in prison, the origin of the Count's vast fortune, and his strange physical appearance.

Instead of the show being divided into rounds, teams were asked 100 questions – one from each of the previous 99 episodes, and one new question, " What is the last question on our 100th episode?

Instead, the only questions that Robinson recorded was Truth asking were: "... can any man do more than that?

Instead of examining the device itself, he started asking Bonassoli questions about the Omega's capability to detect various common objects through a wall.

Instead the locals were asked questions which affirmed perceptions of how bad discrimination against indigenous Australians was in rural areas.