When Af for each i, we shall have Af, because the operator Af will then be 0 on the range of Af.

When three dice are tossed repeatedly, what is the probability that the number of aces is 0 ( or 1, or 2, or 3 )??

When the functions J < sub > n </ sub >( x ) are plotted on the same graph, though, none of the zeros seem to coincide for different values of n except for the zero at x = 0.

The island of Sal receives an average of 0. 0mm in May, When the rain come, if it comes, can be very strong.

When U and V are two independent normally distributed random variables with expected value 0 and variance 1, then the ratio U / V has the standard Cauchy distribution.

When Newton's method is used to find the solution for the maximum likelihood estimate, the middle 24 % order statistics can be used as an initial solution for x < sub > 0 </ sub >.

When b is zero and A ≠ 0 the origin is an equilibrium ( or singular ) point of the flow, that is, if x < sub > 0 </ sub > = 0, then the orbit remains there.

When b = 0, the eigenvalues of A determine the structure of the phase space.

When the eigenvalues of J are not in the unit circle, the dynamics near the fixed point x < sub > 0 </ sub > of F is called hyperbolic and when the eigenvalues are on the unit circle and complex, the dynamics is called elliptic.

When the eccentricity is 0 the foci coincide with the center point and the figure is a circle.

When n > 0, it can be shown that

When Freenet 0. 5 ( FCon or Freenet Classic Opennet ) forked into Freenet 0. 7, most users moved to Freenet 0. 7.

When that interval is 0. 5 / T, the applicable reconstruction formula is the Whittaker – Shannon interpolation formula.

When the World Cup began, Banks was in goal as England got through their group containing Uruguay, Mexico and France, drawing 0 – 0 with the former and clinching 2 – 0 victories over the latter.

When considered over a countable language, the completeness and compactness theorems are equivalent to each other and equivalent to a weak form of choice known as weak König's lemma, with the equivalence provable in RCA < sub > 0 </ sub > ( a second-order variant of Peano arithmetic restricted to induction over Σ < sup > 0 </ sup >< sub style =" margin-left :- 0. 6em "> 1 </ sub > formulas ).

When people are asked to make up a random-looking sequence of coin tosses, they tend to make sequences where the proportion of heads to tails stays closer to 0. 5 in any short segment than would be predicted by chance ( insensitivity to sample size ); Kahneman and Tversky interpret this to mean that people believe short sequences of random events should be representative of longer ones.

When inspired air contains CO levels as low as 0. 02 %, headache and nausea occur ; if the CO concentration is increased to 0. 1 %, unconsciousness will follow.

When, in late afternoon on the last day in June, he saw two people top the ridge to the south and walk toward the house, he quit work immediately and strode to his rifle.

When they were closer and he saw that one was a woman, he was more puzzled than ever.

When the meal was ready, he told Jones to wash up, and going into the front room, woke the girl.

When they were finally satisfied, Jones said, `` I think he's going to give us work ''.

When he saw the expression in her eyes, he knew he couldn't send them on.

When he had finished he led him and the mare to the porch.

When they turned in the saddle they could see the men behind them, strung out on the prairie in a flat black line.

When the phone rang he answered it.

When one of the men in the hall behind us spat on the floor and scraped his boot over the gob of spittle I noticed how the clerk winced.

When he saw me coming he turned his radio off.

When I asked him what, if anything, I could do about it, he surprised me by referring me to the director of the hall.

When I went for my interview with the director I saw why.

When they learn you're in the hills though, they'll rally, don't worry about that ''.

When they reached their neighbor's house, Pamela said a few polite words to Grace and kissed Melissa lightly on the forehead, the impulse prompted by a stray thought -- of the type to which she was frequently subject these days -- that they might never see one another again.

When the station wagon drew abreast of the dusty dirt road that led up to the porch of the Culver house, Pamela turned the wheel, guiding the car to its familiar parking spot close to the house, and stopped.

When he regained consciousness he was in Lord's house, in the office of Doctor Lord, the deputy's deceased father.

When several minutes had passed and Curt hadn't emerged from the livery stable, Brenner reentered the hotel and faced Summers across the counter.

When his eyes began to focus, he saw Jess charging at him with a pitchfork.

When his head came down, Curt grabbed him by the hair and catapulted him head first into the wall.

When it was followed by a second, whining even closer, Cobb swerved sharply aside into a depression.

When the sea was visible ahead of them, the relief was as great as if the sun had come out.

When I fell on my back, I saw a vulture hovering.

Joyce went on, `` When we'd finished, Lou -- Mr. Thor -- asked me to stay a little longer.

When my Uncle offered me a part-time job which would take care of my normal expenses and give me time to paint I accepted.

When she appeared at the store to help out for a few hours even my looking at her was surreptitious lest my Uncle notice it.