b) What is the probability that balls numbered 1 and 2 are inside the same box, if we know that there is at least one ball in each box?

Badanie wpływu modyfikatora palladowego na liniowość krzywej kalibracji Aby zapobiec tworzeniu się trudno lotnych węglików, ograniczyć niepożądane reakcje oraz zapobiec

The association between statin therapy and the risk of incident diabetes was stronger in older patients, women, and patients with lower baseline LDL-C levels, lower achieved

The method is to check relation between soil amend- ments added to the soil sample and the amount of biomass produced by some plant species (Sinapis alba L., Hordeum

(ii) Given that the student selected is female, calculate the probability that the student does not play football.. Calculate the probability that neither

(i) Copy the tree diagram and add the four missing probability values on the branches that refer to playing with a stick.. During a trip to the park, one of the dogs is chosen

Fill- in proof sheet 6 on the CD-ROM, ‘Remainder theorem’, shows you that the same reasoning can be applied when dividing any polynomial by a linear factor.. Th is leads us to

(b) Find the probability that a randomly selected student from this class is studying both Biology and

(d) Copy and complete the following table, which gives a probability distribution for the

For infinite I, use Theorem 2.9 of [9], which says that if all the τ -additive topological product measures on finite subproducts are com- pletion regular, and all but countably many

In particular, we show (Theorem 3.7) that a point of a hyperelliptic curve (of odd degree) is 2-divisible in Pic X (hence is a unique wild point of some self-equivalence) if and only

Also the proof of the theorem is similar and is based on the comparison with the geometric series (the reader is advised to carry out the proof in the case of positive terms).

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2. 2% of newly manufactured processors have damaged cores. A laptop with a damaged core overheats; overheating also appears in 0.002% of laptops with fully functional cores. We

Mr Smith buys one randomly chosen lottery ticket every day (we assume that tickets from the two lotteries are equally numerous on all days); the choices on different days

In 2016, Geiß, Leclerc and Schr¨ oer introduced, for any field K and every Cartan datum (C, D, Ω), a finite dimensional 1-Gorenstein K- algebra H = H(C, D, Ω) defined by a quiver

So, the following theorem extends the Krengel–Lin decomposition which is discussed in [KL] only for compact groups..

Let us now recall the notion of α-proper forcing for a countable ordinal α saying that, given an ∈-chain of length α of countable elementary sum- bodels of some large enough structure

We give a direct proof of this characterization and get stronger results, which allows us to obtain some other results on ω-limit sets, which previously were difficult to prove.. Let

As a corollary, we obtain the following main theorem of this paper: Chainable continua admit no expansive homeomorphisms2. There are no expansive homeomorphisms on chainable

It is shown that associated with each metric space (X, d) there is a com- pactification u d X of X that can be characterized as the smallest compactification of X to which each

An Open Coloring Axiom type principle is formulated for uncountable cardinals and is shown to be a consequence of the Proper Forcing Axiom.. Several appli- cations

Furthermore, iterating this forcing through all α < κ ++ , we obtain a notion of forcing that preserves cardinals and such that in the corresponding generic extension there is

Observe also that Ketonen and Solovay [5] use a slightly different notion of {λ}(n).. We shall call the sequence {λ}(n) the fundamental sequence