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( 1 ) P → • S ( 0 ) # start rule
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1 and P
Therefore each binomial trial can be thought of as producing a value of a random variable associated with that trial and taking the values 0 and 1, with probabilities Q and P respectively.
The photocathode sensitivities S, phosphor efficiencies P, and anode potentials V of the individual stages shall be distinguished by means of subscripts 1, and 2, in the text, where required.
* If the balance factor of L is + 1, a single right rotation ( with P as the root ) is needed ( Left-Left case ).
The running time of the new computation will be the length of time the unimproved fraction takes ( which is 1 − P ), plus the length of time the improved fraction takes.
In the case of parallelization, Amdahl's law states that if P is the proportion of a program that can be made parallel ( i. e., benefit from parallelization ), and ( 1 − P ) is the proportion that cannot be parallelized ( remains serial ), then the maximum speedup that can be achieved by using N processors is
In practice, performance to price ratio falls rapidly as N is increased once there is even a small component of ( 1 − P ).
As an example, if P is 90 %, then ( 1 − P ) is 10 %, and the problem can be sped up by a maximum of a factor of 10, no matter how large the value of N used.
A great part of the craft of parallel programming consists of attempting to reduce the component ( 1 – P ) to the smallest possible value.
Illustrative is the hydration of phenylacetylene gives acetophenone, and the ( Ph < sub > 3 </ sub > P ) AuCH < sub > 3 </ sub >- catalyzed hydration of 1, 8-nonadiyne to 2, 8-nonanedione:
Additionally, though the Chronicler's principal source is the Deuteronomistic History, coming primarily, as stated above, from the books of 2 Samuel and 1 – 2 Kings and other public records and sources ( see above ), the Chronicler also uses other biblical sources, particularly from the Pentateuch, as redacted and put together by P ( the Priestly Source ).
Given points P < sub > 0 </ sub > and P < sub > 1 </ sub >, a linear Bézier curve is simply a straight line between those two points.
A quadratic Bézier curve is the path traced by the function B ( t ), given points P < sub > 0 </ sub >, P < sub > 1 </ sub >, and P < sub > 2 </ sub >,
which can be interpreted as the linear interpolant of corresponding points on the linear Bézier curves from P < sub > 0 </ sub > to P < sub > 1 </ sub > and from P < sub > 1 </ sub > to P < sub > 2 </ sub > respectively.
1 and →
For each element a of a group G, conjugation by a is the operation φ < sub > a </ sub >: G → G given by ( or a < sup >− 1 </ sup > ga ; usage varies ).
: R < sub > 1 </ sub >- CH = CH-R < sub > 2 </ sub > + O < sub > 3 </ sub > → R < sub > 1 </ sub >- CHO + R < sub > 2 </ sub >- CHO + H < sub > 2 </ sub > O
* Historical Situation → The historical situation goes through three stages: in chapters 1 – 39 the prophet speaks of a judgment which will befall the wicked Israelites ; in chapters 40 – 55 the destruction of Jerusalem and the Temple ( 587 BCE ) is treated as an accomplished fact and the fall of Babylon as an imminent threat ; and in chapters 56 – 66 the fall of Babylon is already in the past.
The systematic name for sucrose, O-α-D-glucopyranosyl -( 1 → 2 )- D-fructofuranoside, indicates four things:
This is because we arrange things such that for every integer, there is a distinct odd integer: ... − 2 → − 3, − 1 → − 1, 0 → 1, 1 → 3, 2 → 5, ...; or, more generally, n → 2n + 1.
1 and •
* Scanning: If a is the next symbol in the input stream, for every state in S ( k ) of the form ( X → α • a β, j ), add ( X → α a • β, j ) to S ( k + 1 ).
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