It is compounded like a common noise out of jumbled vibrations, each of which has its period and would in itself be musical.
"The Life of Reason" by George Santayana
After the first jumbled speeches of surprise, Ellsworth introduced the two.
"Heart's Desire" by Emerson Hough
What a dumb, helpless jumble of humanity!
"Out To Win" by Coningsby Dawson
Mounds and pyramids of jumbles and iced cakes abounded.
"Prince Lazybones and Other Stories" by Mrs. W. J. Hays
The richest jumbles are made from either the rule for Pound or Dover Cake, with flour enough added to roll out.
"The Easiest Way in Housekeeping and Cooking" by Helen Campbell
Her baggage lay in a forlorn heap with Louis's, all jumbled together just as the Customs Officers had left it.
"Captivity" by M. Leonora Eyles
Everything is a jumble of so many kinds of joys that I've been crazy all day.
"Mary Cary" by Kate Langley Bosher
But what a jumbled, inconsequent, muddled-up library!
"T. De Witt Talmage" by T. De Witt Talmage
Or else he had so many that they got jumbled up in his throat and would not come out.
"Pee-wee Harris on the Trail" by Percy Keese Fitzhugh
It was the most marvelous jumble that ever ran through any kaleidoscope.
"The Texan Star" by Joseph A. Altsheler
What they see, and consequently what they say, is a good deal of a jumble.
"The Unpopular Review, Volume II Number 3" by Various
It jumbles all things together, and brings forward just that provoking reason which ought to have nothing whatever to do with the question.
"Essays on Political Economy" by Frederic Bastiat
This jumble of people on the lawn seemed unreal and detached.
"The Trumpeter Swan" by Temple Bailey
We wondered uneasily, too, what Flora Clark would say about her jumbles.
"The Jamesons" by Mary E. Wilkins Freeman
He tried to speak, but made only an inarticulate jumble of sounds.
"Jerome, A Poor Man" by Mary E. Wilkins Freeman
It had taken a god, or a jumbled legacy from an older, greater race, to forestall them.
"Warlord of Kor" by Terry Gene Carr
In it all his former experiences are jumbled hopelessly together, his life is in itself a paradox.
"The Loom of Youth" by Alec Waugh
It's all a jumble of smells.
"The Prairie Wife" by Arthur Stringer
A jumble of charred wood and twisted iron behind had been her shop.
"The New York Times Current History: the European War, February, 1915" by Various
It is, in fact, a jumble of the early Gothic with a Moorish entablature and a balustrade parapet.
"Lippincott's Magazine, Vol. 22, August, 1878" by Various
***
The dust and sun is life and fun;
The hot and sultry weather
A higher zest gives every breast,
Thus jumbled all together.
"The Journey From School And To School" by Charles Lamb
How low men were, and how they rise!
How high they were, and how they tumble!
O vanity of vanities!
O laughable, pathetic jumble!
"Vanitas Vanitatum" by William Makepeace Thackeray
All those that jumble wrong with right,
And good, with evil turns, requite,
Still shew themselves my constant foes,
And still their ranc'rous thoughts disclose.
"Psalm XXXVIII." by Rees Prichard
Mighty converters torn from their axis,
Flung to the furnaces, vomiting fire,
Jumbled in white-heaten masses disshapen…
Writhing in flame-tortured levers of iron…
"The Song Of Iron" by Lola Ridge
Or else we make a scarecrow of the day,
Loose ends and jumble of our common world,
And stuff and nonsense of our own free will;
Or else our changing flesh may never know
There must be sorrow if there can be love.
"Canzone" by W H Auden
She says that table's "awful" and it drives her to despair;
Perhaps it does, but method's in what seems confusion there-
I know where every paper is, each book and magazine.
That jumbled pile was sacred in the eyes of Josephine.
"Josephine" by John O Brien
Cohan has a complete jumble of a piece over at The New York Times 's Opinionator site.
LONDON — With its hilariously quirky Olympic opening ceremony, a wild jumble of the celebratory and the fanciful.
LOS ANGELES — Michael Clarke Duncan was one big, irresistible jumble of contradictions.
Woman gets ' Jumble ' surprise for her 70th birthday.
Scott Dixon's blog: A jumble of feelings.
The Bike Jumble is coming this Saturday.
Mariner rotation still a jumble .
), and McDonald's current campaign spoofs the jumbled construction of Hinglish sentences with its campaign, "What your bahana is".
THE FRIDAY JUMBLE was repeated in Sunday's edition, and the wrong answers to that puzzle was published Monday.
Lakers have looked a jumbled mess so far this preseason.
'The Paperboy' review: Jumbled 'Paperboy' can't quite deliver.
Essex rejoins Steelers' jumbled offensive line.
'The Paperboy ' review: Jumbled ' Paperboy ' can't quite deliver.
Her mother, Rosal, picks among the jumble of debris where her kitchen used to be.
Cars and trucks are jumbled together on Interstate 10 in southeast Texas.
***
In the next section we will discuss various formal deﬁnitions of the notion of pseudo-randomness, from the so called jumbled graphs of Thomason to the (n, d, λ)-graphs deﬁned by Alon, where pseudo-randomness is connected to the eigenvalue gap.
Pseudo-random graphs
Observe for example that if G is (p, α)-jumbled then the complement ¯G is (1 − p, α)-jumbled.
Pseudo-random graphs
However as we shall see very soon if G is known to be (p, o(np))-jumbled, quite a lot can be said about its properties.
Pseudo-random graphs
Therefore in principle a (p, α)-jumbled graph can have subsets of size |U | = O(α/p) spanning by a constant factor less or more edges then predicted by the uniform distribution.
Pseudo-random graphs
If no pair of vertices of G has more than np2 + l common neighbors, then G is (p, p(p + l)n)-jumbled.
Pseudo-random graphs
Comparing (4) with the deﬁnition of jumbled graphs by Thomason we see that an (n, d, λ)graph G is (d/n, λ)-jumbled.
Pseudo-random graphs
Thomason extended this result to jumbled graphs.
Pseudo-random graphs
The Chv´atal-Erd˝os Theorem has also been used by Thomason in , who proved that a (p, α)jumbled graph G with minimal degree δ(G) = Ω(α/p) is Hamiltonian.
Pseudo-random graphs
Part (b) of Theorem 4.29 improves signiﬁcantly Corollary 2.9 of Thomason which estimates from below the number of Hamilton cycles in jumbled graphs.
Pseudo-random graphs
O(√np))-jumbled for all not too small values of the edge probability p.
Minors in expanding graphs
Moreover, one can show (see ) that if a graph G on n vertices is (p, β )-jumbled, then β = Ω(√np); for this reason (p, β )-jumbled graphs G with β = Θ(√np) are considered very good pseudo-random graphs.
Minors in expanding graphs
X ⊆ V (G), implying that an (n, d, λ)-graph is (d/n, λ)-jumbled.
Minors in expanding graphs
Much less is known in the case of pseudo-random (or jumbled) graphs.
Minors in expanding graphs
The next our result is about minors in pseudo-random (or jumbled) graphs.
Minors in expanding graphs
Theorem 4.4 Let G be a (p, β )-jumbled graph of order n such that β = o(np).
Minors in expanding graphs
***