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Page "Range voting" ¶ 11
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Suppose and voters
Here is an example to illustrate: Suppose the voters ' orders of preference are as follows:
Suppose there are 5 voters, of whom 3 vote for candidate A and 2 vote for candidate B ( so p
Suppose 100 voters have the following preferences:

Suppose and each
Suppose that you add blue, then the blue – red – black tree defined like red – black trees but with the additional constraint that no two successive nodes in the hierarchy will be blue and all blue nodes will be children of a red node, then it becomes equivalent to a B-tree whose clusters will have at most 7 values in the following colors: blue, red, blue, black, blue, red, blue ( For each cluster, there will be at most 1 black node, 2 red nodes, and 4 blue nodes ).
:: “ Suppose that a sheriff were faced with the choice either of framing a Negro for a rape that had aroused hostility to the Negroes ( a particular Negro generally being believed to be guilty but whom the sheriff knows not to be guilty )— and thus preventing serious anti-Negro riots which would probably lead to some loss of life and increased hatred of each other by whites and Negroes — or of hunting for the guilty person and thereby allowing the anti-Negro riots to occur, while doing the best he can to combat them.
Suppose there is a sequence of independent Bernoulli trials, each trial having two potential outcomes called “ success ” and “ failure ”.
Suppose then that each player asks himself or herself: " Knowing the strategies of the other players, and treating the strategies of the other players as set in stone, can I benefit by changing my strategy?
* Suppose & B is equivalent to & D. If we acquire new information A and then acquire further new information B, and update all probabilities each time, the updated probabilities will be the same as if we had first acquired new information C and then acquired further new information D. In view of the fact that multiplication of probabilities can be taken to be ordinary multiplication of real numbers, this becomes a functional equation
: Suppose there are three cottages on a plane ( or sphere ) and each needs to be connected to the gas, water, and electric companies.
Suppose you had a list of unique identifiers for each person in the room, like a social security number in the United States.
Suppose some given data points each belong to one of two classes, and the goal is to decide which class a new data point will be in.
Suppose that you are popping one hundred kernels of popcorn, and each kernel will pop at an independent, uniformly random time within the next hundred seconds.
Suppose that a worm crawls along a 1 metre rubber band and, after each minute, the rubber band is uniformly stretched by an additional 1 metre.
Suppose each circle is a website, and an arrow is a link from one website to another, such that a user can click on a link within, say, website F to go to website B, but not vice versa.
Suppose each level contains
Suppose two people who once loved each other come to be on bad terms ; they must make some condition of reconciliation before the love they previously enjoyed can be revived.
Suppose a company issues warrants which give the holder the right to convert each warrant into one share at $ 500.
Suppose a patient comes to the clinic each day and tells the doctor how she feels.
Suppose a dictionary for each class has already been built.
Suppose that the alternatives can be partitioned into subsets, where each subset has its own cost function, and each alternative belongs to only one subset.
Suppose there are 1000 on / off switches which have to be set to a particular combination by random-based testing, each test to take one second.
Suppose we consider an ANOVA model having 2 qualitative variables, each with 2 categories: Hourly Wages in relation to Marital Status ( Married / Unmarried ) and Geographical Region ( North / Non-North ).
Suppose we imagine the two parts of the electron wave as tiny clocks, each with a single hand that sweeps around in a circle, keeping track of its own phase.
Suppose we want to define an extremely simple XML markup scheme for a book: a book is defined as a sequence of one or more pages ; each page contains text only.
Suppose X is an n × p matrix, each row of which is independently drawn from a p-variate normal distribution with zero mean:

Suppose and decided
Suppose that Alice and Bob had decided to measure spin along the x-axis.

Suppose and grant
Suppose the donor loses capacity to grant permission after the power of attorney has been created ( for example, from Alzheimer's disease or a head injury in a car crash ); then the power will probably no longer be effective.
Suppose that you were analyzing data related to people applying for a grant.

Suppose and from
Suppose that a skydiver jumps from an aircraft.
; Dennett's reply from natural selection: Suppose that, by some mutation, a human being is born that does not have Searle's " causal properties " but nevertheless acts exactly like a human being.
Suppose that u and v are real-differentiable at a point in an open subset of, which can be considered as functions from to.
Suppose that it's against the moral law to steal from the poor, and Sasha knows this.
Suppose John Doe flies from London to New York.
Suppose that and let tend to from above.
Suppose that U: D → C is a functor from a category D to a category C, and let X be an object of C. Consider the following dual ( opposite ) notions:
Suppose ( A < sub > 1 </ sub >, φ < sub > 1 </ sub >) is an initial morphism from X < sub > 1 </ sub > to U and ( A < sub > 2 </ sub >, φ < sub > 2 </ sub >) is an initial morphism from X < sub > 2 </ sub > to U. By the initial property, given any morphism h: X < sub > 1 </ sub > → X < sub > 2 </ sub > there exists a unique morphism g: A < sub > 1 </ sub > → A < sub > 2 </ sub > such that the following diagram commutes:
Suppose for environmental reasons we needed to replace the chlorinated solvent, chloroform, with a solvent ( blend ) of equal solvency using a mixture of two non-chlorinated solvents from this table.
Suppose further, because this is necessary to the alleged case for our nuclear weapon as the defence of last resort, that, as in 1940, the United States was standing aloof from the contest but that, in contrast with 1940, Britain and the Warsaw Pact respectively possessed the nuclear weaponry which they do today.
Suppose in a year an object moves from coordinates ( α, δ ) to coordinates ( α < sub > 1 </ sub >, δ < sub > 1 </ sub >), with angles measured in seconds of arc.
Suppose you recognize one student — call her Anna — from a prior course in which Anna either excelled or did poorly.
Suppose that you have a coin purse containing five quarters, five nickels and five dimes, and one-by-one, you randomly draw coins from the purse and set them on a table.
Suppose there is a sample of n independent and identically distributed observations, coming from a distribution with an unknown probability density function f < sub > 0 </ sub >(·).
Suppose M is an m × n matrix whose entries come from the field K, which is either the field of real numbers or the field of complex numbers.
Suppose a " low density residential " zone requires that a house have a setback ( the distance from the edge of the property to the edge of the building ) of no less than 100 feet ( 30 m ).
Suppose we have an n-dimensional oriented Riemannian manifold, M and a target manifold T. Let be the configuration space of smooth functions from M to T. ( More generally, we can have smooth sections of a fiber bundle over M .)
Suppose we randomly select a journal article from a source with an average of 1000 words per article, with a standard deviation of 200 words.
Suppose a hospital is recording a heart beat ( an ECG ), which is being corrupted by a 50 Hz noise ( the frequency coming from the power supply in many countries ).
Suppose now that an attenuating feedback loop applies a fraction β. V < sub > out </ sub > of the output to one of the subtractor inputs so that it subtracts from the circuit input voltage V < sub > in </ sub > applied to the other subtractor input.
Suppose a mapping takes place from surface to that are boundaries of regions, and which is simply connected with one-to-one correspondence.
Between lines 124 and 125, Henry states " Ah Plantagenet, why seekest thou to depose me ?/ Are we not both Plantagenets by birth ?/ And from two brothers lineally descent ?/ Suppose by right and equity thou be king ...".

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