[permalink] [id link]
Page "Curvature of Riemannian manifolds" ¶ 31
from Wikipedia
Promote Demote Fragment Fix

Some Related Sentences

Then and one
Then he became involved in a ruckus remarkably similar to the one in Plymouth.
Then we have surviving at least one instance of a poem prepared for another, in Naturam non Pati Senium, and perhaps also the De Idea Platonica.
Certainly, the meaning is clearer to one who is not familiar with Biblical teachings, in the New English Bible which reads: `` Then Jesus arrived at Jordan from Galilee, and he came to John to be baptized by him.
Then one day Dick's classmate Jimmy, from next door, let the cat out of the bag.
Then, one after another, the villagers tied the waiting cotton strings around our wrists.
Then the boycott would not be secondary, but a primary one.
Then, when the case went to the jury, the judge excused one of the jurors, saying the juror had told him he had been accosted by masked men at his motel the night before the trial opened.
Then one day, early in January, 1960, I sat down at my desk, and suddenly I was aware of the crucifix.
Then there is a matchmaker, one Mikeen Flynn, a role for which Eddie Foy was happily selected.
Then one of the guests showed his merriment.
Then, he said, `` Unfortunately, only one lamechian linguist exists, and he is too old for this expedition.
Then, a little later, Shilkret discovered there was no one to play the brief celesta solo during the slow section, so he hastily asked Gershwin if he might play the solo ; Gershwin said he could and so he briefly participated in the actual recording.
Then, about halfway through, or sometimes even during the final act, one of the suspects usually dies, often because they have inadvertently deduced the killer's identity and need silencing.
Then England won in 1911 – 12 by four matches to one.
Then one can rewrite the field in the form
Then one of the prelates of the upper bar made an abstract, and another prelate of the same bar revised it.
Then they suggested Abd al-Malik ibn Marwan ( one the greatest of the Umayyad caliphs ), but again no.
Then comes her one solo, " Liaisons ", in which her character thinks back on the art of love as a profession in a gilded age, when sex ' was but a pleasurable means to a measurable end.
Then one day he emerged from the fort with the help of villagers to break down the door.
In " A Village Sketch ," author Miss Mitford wrote: " Then comes a sun-burnt gipsy of six, beginning to grow tall and thin and to find the cares of the world gathering about her ; with a pitcher in one hand, a mop in the other, an old straw bonnet of ambiguous shape, half hiding her tangled hair ; a tattered stuff petticoat once green, hanging below an equally tattered cotton frock, once purple ; her longing eyes fixed on a game of baseball at the corner of the green till she reaches the cottage door, flings down the mop and pitcher and darts off to her companions quite regardless of the storm of scolding with which the mother follows her runaway steps.
Then, in a virtually unprecedented move, the Court invited William T. Coleman, Jr. to argue the government's position in an amicus curiae brief, thus ensuring that the prosecution's position would be the one the Court wished to hear.
Then, one must locate any relevant statutes and cases.
Then one must extract the principles, analogies and statements by various courts of what they consider important to determine how the next court is likely to rule on the facts of the present case.
Then, one applies that law to the facts.
Then he will confirm a covenant with many for one week.

Then and can
Then, all but blind, he said there was nothing in Back to Methuselah --, -- `` G.B.S. ought to have known that '', -- and `` I look at my bookshelves despairingly, knowing that I can have nothing more to do with them ''.
Then you can do the finishing touches at your leisure.
Then during washing, the greasy soil rolls back at the edges so that emulsified droplets can disengage themselves from the sorbed oil mass, with the aid of mechanical action, and enter the aqueous phase.
Then every linear operator T in V can be written as the sum of a diagonalizable operator D and a nilpotent operator N which commute.
Then the enthusiasm and energy of all elements can be channeled to produce cumulative progress toward a common objective.
Then, after I'm back, another fifty so you can put some mileage on yourself and have a solid alibi somewhere while I take care of your seat cover boy ''.
Then, with the hymn writer of old, you can say:
Then our choice function can choose the least element of every set under our unusual ordering.
Then we can express the variables as the sum of the ( time averaged ) mean field () that varies in space and a small fluctuating field () that varies in space and time.
Then the momentum equation can be expressed as
Then the mass balance equation can be written as
Then the mass balance equation can be expressed as
Then nodules of blue earth have to be removed and an opaque crust must be cleaned off, which can be done in revolving barrels containing sand and water.
Then, in 1828, Friedrich Wöhler published a paper on the synthesis of urea, proving that organic compounds can be created artificially.
Then the bra can be computed by normal matrix multiplication.
Then the reservists have to serve up to three weeks a year and can be called up to serve two weeks during a non-military crisis.
Then we can solve for f ′.
Then it can be shown that one can write a thermodynamic version of the above calorimetric rules:
Then, according to Adkins ( 1975 ), it can be shown that one can write a further thermodynamic version of the above calorimetric rules:
Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.
Then each point p of the line can be specified by its distance from O, taken with a + or − sign depending on which half-line contains p.
Then the Cartesian product set D < sub > 1 </ sub > D < sub > 2 </ sub > can be made into a directed set by defining ( n < sub > 1 </ sub >, n < sub > 2 </ sub >) ≤ ( m < sub > 1 </ sub >, m < sub > 2 </ sub >) if and only if n < sub > 1 </ sub > ≤ m < sub > 1 </ sub > and n < sub > 2 </ sub > ≤ m < sub > 2 </ sub >.

0.087 seconds.