If two players tie for minority, they will share the minority shareholder bonus. Suppose Festival is the chain being acquired.

Proof: Suppose that and are two identity elements of.

Proof: Suppose that and are two inverses of an element of.

Suppose that on these sets X and Y, there are two binary operations and that happen to constitute the groups ( X ,) and ( Y ,).

Suppose, for example, that two particles interact.

Suppose both ISPs have trans-Atlantic links connecting their two networks, but A < nowiki >' s </ nowiki > link has latency 100 ms and B's has latency 120 ms.

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 a line runs through two points: P = ( 1, 2 ) and Q = ( 13, 8 ).

Suppose two curves γ < sub > 1 </ sub >: (- 1, 1 ) → M and γ < sub > 2 </ sub >: (- 1, 1 ) → M with γ < sub > 1 </ sub >( 0 )

: Suppose that we know we are in one or other of two worlds, and the hypothesis, H, under consideration is that all the ravens in our world are black.

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, however, that you pick two tickets rather than one.

Suppose there is a sequence of independent Bernoulli trials, each trial having two potential outcomes called “ success ” and “ failure ”.

Suppose that there are two agents in an economy, one that only values guns and one that only values butter.

Suppose you want to find the shortest path between two intersections on a city map, a starting point and a destination.

Suppose there are two full bowls of cookies.

* 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 exactly two of U, V, W are 0.

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 u ( x ) and v ( x ) are two continuously differentiable functions.

Suppose that X and Y are two plane projective curves defined over a field F that do not have a common component ( this condition is true if both X and Y are defined by different irreducible polynomials, in particular, it holds for a pair of " generic " curves ).

: Suppose that a falling body broke into two pieces.

Suppose I tie the two pieces together.

Suppose two black holes have the same masses, electrical charges, and angular momenta, but the first black hole is made out of ordinary matter whereas the second is made out of antimatter ; nevertheless, they will be completely indistinguishable to an observer outside the event horizon.

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 ...".

Suppose that 0. 5 % of people are users of the drug.

Suppose also that he thinks that it is not ethical to stone people to death merely for being Wiccan.

Suppose, a people rise in revolt.

Suppose that a pie has 9 slices and they are to be divided evenly among 4 people.

Suppose we have a linear traffic graph with people driving along edge.

Suppose the fecal occult blood ( FOB ) screen test is used in 2030 people to look for bowel cancer:

Suppose that a fecal occult blood ( FOB ) screen test is used in 2030 people to detect bowel cancer:

Suppose there is a simple database that lists people and addresses.

Suppose that you were analyzing data related to people applying for a grant.

Suppose a party has six people.

Suppose John Jones, who, for 1960, filed on the basis of a calendar year, died June 20, 1961.

Suppose there is a town with just one barber, who is male.

INTERVIEWER: Suppose someone called you and said there was a kid, nineteen or twenty years old, who has been a very good boy, but all of a sudden this week he started walking around the neighborhood carrying a large cross.

Suppose you have a set of N children who have been identified with an unusual bone marrow antigen.

Suppose their tendency is to regress 10 % of the way toward the mean of 80, so a student who scored 100 the first day is expected to score 98 the second day, and a student who scored 70 the first day is expected to score 71 the second day.

Suppose we want a prior for the running speed of a runner who is unknown to us.

Suppose again, that Neal is a building contractor who has been awarded a contract to build a skyscraper.

Suppose that a French court hears the case of an American national who dies domiciled in California leaving movables in England.