* If the balance factor of L is + 1, a single right rotation ( with P as the root ) is needed ( Left-Left case ).

* Every quadratic Bézier curve is also a cubic Bézier curve, and more generally, every degree n Bézier curve is also a degree m curve for any m > n. In detail, a degree n curve with control points P < sub > 0 </ sub >, …, P < sub > n </ sub > is equivalent ( including the parametrization ) to the degree n + 1 curve with control points P '< sub > 0 </ sub >, …, P '< sub > n + 1 </ sub >, where.

: 4 PH < sub > 3 </ sub > + 5 O < sub > 2 </ sub > → 2 P < sub > 2 </ sub > O < sub > 5 </ sub > + 6 H < sub > 2 </ sub >

It is known that there exists a unique Delaunay triangulation for P, if P is a set of points in general position ; that is, there exists no k-flat containing k + 2 points nor a k-sphere containing k + 3 points, for 1 ≤ k ≤ d − 1 ( e. g., for a set of points in < big > ℝ </ big >< sup > 3 </ sup >; no three points are on a line, no four on a plane, no four are on a circle, and no five on a sphere ).

The sum of the distances from any point P on the ellipse to those two foci is constant and equal to the major axis ( PF < sub > 1 </ sub > + PF < sub > 2 </ sub > = 2a ).

: RCO < sub > 2 </ sub > H + R ' OH + P ( C < sub > 6 </ sub > H < sub > 5 </ sub >)< sub > 3 </ sub > + R < sub > 2 </ sub > N < sub > 2 </ sub > → RCO < sub > 2 </ sub > R ' + OP ( C < sub > 6 </ sub > H < sub > 5 </ sub >)< sub > 3 </ sub > + R < sub > 2 </ sub > N < sub > 2 </ sub > H < sub > 2 </ sub >

Clearly, P² = 1 ( the identity operator ), so the eigenvalues of P are + 1 and − 1.

* For x and y in P, both x + y and xy are in P.

::( P ( 0 ) ∧ ∀ x ( P ( x ) → P ( x + 1 ))) → ∀ y P ( y ).

In other words, it is equal to the absolute value of the first derivative of quantity with respect to price ( dQ < sub > d </ sub >/ dP ) multiplied by the point's price ( P ) divided by its quantity ( Q < sub > d </ sub >).

* If | ΔP | is infinitesimal ( an infinitely small amount —'— usually expressed in standard analysis as a limit: ), then ΔF ( P ) is known as an infinitesimal difference, with specific denotations of dP and dF ( P ) ( in calculus graphing, the point is almost exclusively identified as " x " and F ( x ) as " y ").

1 +(( dP / dQ ) * ( Q / P ))

where P is pressure, V is volume, and dP / dV denotes the derivative of pressure with respect to volume.

: R ' = < R >+ ( dP / dQ ) ( Q / P )

If at a height of z the atmosphere has density ρ and pressure P, then moving upwards at an infinitesimally small height dz will decrease the pressure by amount dP, equal to the weight of a layer of atmosphere of thickness dz.

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.

On C, from the point P at Af to the point Q at Af, we construct the chord, and upon the chord as a side erect a square in such a way that as S approaches zero the square is inside C.

As S increases we consider the two free corner points of the square, Af and Af, adjacent to P and Q respectively.

We again consider a fixed point P at Af and a variable point Q at Af on C.

We erect a square with PQ as a side and with free corners Af and Af adjacent to P and Q respectively.

Moreover, if Af and Af are two planes intersecting in a line l, tangent to Q at a point P, the two free intersections of the image curves Af and Af must coincide at P', the image of P, and at this point Af and Af must have a common tangent l'.

Here P represents the value of the stream in state P and Q the cost of operating the stage with conditions Q.

P denotes the state at any point T and Q the vector of operating variables there.

# If P, then Q.

Since P was never asserted as the only sufficient condition for Q, other factors could account for Q ( while P was false ).

J. P. Mallory and D. Q.

* Slightly more generally, given four sets M, N, P and Q, with h: M to N, g: N to P, and f: P to Q, then

Thus, intuitionists are ready to accept a statement of the form " P or Q " as true only if we can prove P or if we can prove Q:

The luminous gain of a single stage with Af ( flux gain ) is, to a first approximation, given by the product of the photocathode sensitivity S ( amp / lumen ), the anode potential V ( volts ), and the phosphor conversion efficiency P ( lumen/watt ).

1997 / P. L.

1997 / P. L.

Alternative WD1770 / DFS Interfaces such as the P. R. E. S AP4 left & PAGE at E00h.

The length of time for the improved part of the computation is the length of the improved part's former running time divided by the speedup, making the length of time of the improved part P / S.

In the limit, as N tends to infinity, the maximum speedup tends to 1 / ( 1 − P ).

New York: Jeremy P. Tarcher / Putnam, 1998.

The market prices for privately held companies are typically viewed from a return on investment perspective ( such as 25 %), whilst publicly held and or exchange listed companies trade on a Price to earnings ratio ( P / E ) ( such as a P / E of 10, which equates to a 10 % ROI ).

( V, T, P, S ), where N / V is the Non-terminal Variable, and Σ / T is the Terminal ) is context-sensitive if all rules in P are of the form

* http :// www. weeklystandard. com / Content / Public / Articles / 000 / 000 / 004 / 570mubbw. asp A review essay by P. J.

* Right-wing women: from conservatives to extremists around the world / P Bacchetta., 2002

Eddington's proposed solution to the perceived problem was to modify relativistic mechanics so as to make the law P = K < sub > 1 </ sub > ρ < sup > 5 / 3 </ sup > universally applicable, even for large ρ.

* 1913 Frederick P. Bellamy / Thomas Winston Churchill