Suppose we do get our fears out in the open, what then??

Unicity: Suppose satisfies, then by Theorem 1. 8,.

Player 1 moves first and chooses either F or U. Player 2 sees Player 1s move and then chooses A or R. Suppose that Player 1 chooses U and then Player 2 chooses A, then Player 1 gets 8 and Player 2 gets 2.

Suppose that the universe were not expanding, and always had the same stellar density ; then the temperature of the universe would continually increase as the stars put out more radiation.

Suppose that the set of indices such that is decidable ; then, there exists a function that returns if, and otherwise.

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 whenever P ( β ) is true for all β < α, then P ( α ) is also true ( including the case that P ( 0 ) is true given the vacuously true statement that P ( α ) is true for all ).

Suppose then that a female is speaking continuously for an hour.

* 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 then that n observations have been made

* Suppose that is a sequence of Lipschitz continuous mappings between two metric spaces, and that all have Lipschitz constant bounded by some K. If ƒ < sub > n </ sub > converges to a mapping ƒ uniformly, then ƒ is also Lipschitz, with Lipschitz constant bounded by the same K. In particular, this implies that the set of real-valued functions on a compact metric space with a particular bound for the Lipschitz constant is a closed and convex subset of the Banach space of continuous functions.

Suppose that L is a lattice of determinant d ( L ) in the n-dimensional real vector space R < sup > n </ sup > and S is a convex subset of R < sup > n </ sup > that is symmetric with respect to the origin, meaning that if x is in S then − x is also in S.

Suppose the maximum temperature is 125 ° C, and the ambient temperature is 25 ° C ; then ΔT is 100 ° C.

Suppose that we have pages: de: Zug,: en: Train and: fr: Train, then we need:

Suppose T = 2 sec (~ lunar distance ) then delta-phi = 8000 radians, i. e. ( 8000 * 180 )/ Pi.

No. Suppose the Lord should touch your eyes that you might see, could you then see the spirits?

Suppose then that Bob bids $ 2. 00 for the item.

Suppose V is a subset of R < sup > n </ sup > ( in the case of n = 3, V represents a volume in 3D space ) which is compact and has a piecewise smooth boundary S. If F is a continuously differentiable vector field defined on a neighborhood of V, then we have

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 then that we have a random classifier that guesses that you have the disease with that same probability and guesses you do not with the same probability.

Suppose that voters each decided to grant from 0 to 10 points to each city such that their most liked choice got 10 points, and least liked choice got 0 points, with the intermediate choices getting an amount proportional to their relative distance.

:: “ 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 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 that a certain slot machine costs $ 1 per spin and has a return to player ( RTP ) of 95 %.

Suppose a player is under heavy attack, and an additional pawn would mate him.

:: Suppose the player has a neutral marker in the 7-column, with two un-played.

Suppose two players reach the final round of the game ; the second player will do better by defecting and taking a slightly larger share of the pot.

Suppose in limit hold ' em a player named Arnold holds < font color = blue > A ♦</ font >< font color = green > K ♣</ font > and the flop is K ♠< font color = red > 9 ♥ 3 ♥</ font >, giving him top pair with best kicker.