Bleeding edge - Similar to 'cutting edge', this implies a technology or process that is at the forefront or beyond current practices. However, because it is unproven, it is often dangerous to use (hence the 'bleeding').
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Cutting edge - Something that is cutting edge is at the forefront of progress in its area.
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Double-edged sword - If someone uses an argument that could both help them and harm them, then they are using a double-edged sword sword; it cuts both ways.
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Rough around the edges - If someone is rough around the edges, they haven't mastered something, though they show promise.
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Rough edges - If something has rough edges, it is still not a finished product and not all of a uniform standard.
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Take the edge off - To reduce the effect of something, usually something unpleasant.
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Two-edged sword - If someone uses an argument that could both help them and harm them, then they are using a two-edged sword; it cuts both ways.
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In literature:
It is not so contemptible a feat to rein up on the edge of that `zanca.
"The White Chief" by Mayne Reid
Now with draw shave and rasp work the edges off both Nos.
"Home Taxidermy for Pleasure and Profit" by Albert B. Farnham
If this edge is to be gilded, special care is taken to have the edges cut smoothly.
"The Building of a Book" by Various
In the eastern sky, the young moon began to climb above the ragged edge of the firs.
"The History of Sir Richard Calmady" by Lucas Malet
The front edge should be rounded and the edge and sides sanded.
"Mission Furniture" by H. H. Windsor
At last Big Jim and 'Masso were laid side by side upon the brown grass at the quarry edge.
"Still Jim" by Honoré Willsie Morrow
At the water's edge they at length dismount, when the Indians, drawing forth flint and steel, set fire to the grass on the bank.
"The Western World" by W.H.G. Kingston
It lay along the edge of a torrent that leaped and foamed over its rocky bed.
"The Forest Exiles" by Mayne Reid
From the edge of the world, behind, to the very edge of these far-distant hills, the ground was flat.
"Space Platform" by Murray Leinster
She walked back to the inside edge of the road and sat down, and bye-and-bye she felt quieter.
"Stubble" by George Looms
Albert, seeing the look in his eye, instinctively edged out of reach.
"Two on the Trail" by Hulbert Footner
Notice now that all the solder runs to the bottom edge, leaving the top edge cold.
"Elements of Plumbing" by Samuel Dibble
Make the bottom edges meet evenly and press the paste-covered edge over the other side edge.
"Little Folks' Handy Book" by Lina Beard
We were only a few yards from the edge of the girl's village.
"Astounding Stories of Super-Science, May, 1930" by Various
We are near the northern edge of that circle.
"Astounding Stories of Super-Science, October, 1930" by Various
And hardly had the echoes of that shout faded than six brawny fighting-men rose from the edge of the jungle, directly in Tharn's path!
"Warrior of the Dawn" by Howard Carleton Browne
The copper knives are all one-edged with straight back (22) down to the XVIIIth Dynasty, when two-edged symmetrical knives (23) become usual.
"Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 1" by Various
Disc of p. yellow, edge brown; g. dark ochre.
"European Fungus Flora: Agaricaceae" by George Massee
It was cut in even scallops all round; I say even to show that they were sewn-edged, not jagged and rough-edged.
"English Costume" by Dion Clayton Calthrop
Thus awakened, she arose and walked over toward the field at the edge of the forest.
"On the Heights" by Berthold Auerbach
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In poetry:
And he came to the edge of the lake
Where no curlew cried overhead:
Silent and bare from the shaking reeds
The lake-waters spread;
"The Ballad Of Downal Baun" by Padraic Colum
Did you ever stand on the ledges,
On the brink of the great plateau
And look from their jagged edges
On the country that lay below?
"The Time to Decide" by Bruce Kiskaddon
Or at the edge of a pale path
that encircles the farmlands,
or upon the rim of a trembling fountain,
whitened by a shimmering moon?
"To See Him Again" by Gabriela Mistral
Nor sound was heard, nor passing gale
Sigh'd thro' the long lank sedge,
The air was hushed, no little wave
Dimpled the water's edge.
"Donica - A Ballad" by Robert Southey
"And then uprose before me,
Upon the water's edge,
The huge and haggard shape
Of that unknown North Cape,
Whose form is like a wedge.
"Discoverer Of The North Cape. A Leaf From King Alfred's Orosius. (Birds Of Passage. Flight The First" by Henry Wadsworth Longfellow
I look for a moment over the ledge
To see the grasses spring,
And trail their length within the edge,
Where the stream was wont to sing.
"The Old Ruins" by Alexander Anderson
In news:
What To Do When Your Brooklyn Neighborhood Loses Its Edge.
Bill Bolling has built an early fundraising edge over his rival for next year's Republican gubernatorial nomination, Attorney General Ken Cuccinelli.
Bonga Perkins edges ahead of Kai Lenny in dying minutes to win SUP Sunset Beach Pro.
Visit the koi in the pond, settle into the sculptural hut at the pond's edge, or just marvel at the beauty and age of these trees.
I love the softened edges, pegged joinery, square motifs and overall lightness of their work.
The Barons edge out a hard-fought win on the road.
Oh, what a rush off the edge for the Ducks.
Late payment rate on US credit cards edged higher in 3Q, debt per borrower up.
Despite a big rally lately, there are still questions about Netflix's competitive edge and profitability.
Johnson currently holds an edge, scoring more points than Keselowski at 4 races.
Braids are also being used as a way to give elegant updos edge.
The small-plates restaurant and tavern whips up imaginative creations on the edge of Little Tokyo.
Being 8 Years Old Can Be Stressful I'm Sure This Helps Take The Edge Off.
Based off the classic board game, the show will have the audience on the edge of their seats as everyone tries to figure out just who killed Mr Boddy.
Fleshy century plant leaves have been mainly damaged at the tips and along the edges.
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In science:
For this it is enough to choose J − c edges (out of 2l odd edges) starting or ending a sequence of odd edges and decide for each of the chosen J − c edges whether it starts or ﬁnishes a sequence.
Wigner random matrices with non-symmetrically distributed entries
The edges of E1 are called the reality edges, and the edges of E2 are called the desire edges.
How Overlap Determines the Macronuclear Genes in Ciliates
We identify the edges edges f1 and f2 of B ′ into a single edge f with edge group hBf1 , Bf2 i and label (a, e, b).
On accessibility of finitely generated groups
We identify the edges edges f1 and f2 of B ′ into a single edge f with edge group hBf1 , Bf2 i and label (a, e, b).
On accessibility of finitely generated groups
In the case of folds of type IA and IIIA we can further assume that the two edges e1 and e2 have the same edge group which is also the edge group of the edge π(e1 ) = π(e2 ) as otherwise a fold of type IIA would be possible.
On accessibility of finitely generated groups
Note that an α-curve corresponds to each thick edge and the two outgoing thin edges, while a β -curve corresponds to a thick edge and two incoming thin edges.
Floer homology and singular knots
In fact we can take a ﬁrst half-edge of the network and we have 2L − 1 choices to match it with one of the other half edges. then we can take another half-edges and we have (2L − 3) possible choices of other half-edges to link to, giving rise to (2L − 1)!! networks.
The entropy of randomized network ensembles
Each edge explored in the exploration process will correspond to precisely one edge in the tree and these two edges are coupled such that they are open or closed together; the rest of the edges in the tree will be open with probability p and closed otherwise, independently of all other choices.
Mean-field conditions for percolation on finite graphs
In any decomposition of G into cycles, we have the obvious matching of in-edges with out-edges, by associating to each in-edge the out-edge that follows it in the cycle.
From random matrices to random analytic functions
Let us orient the edges of q′′ that are duals of the old edges of q′ : an old edge of q′′ whose dual edge has label (i, i + 1) is oriented so that it has the largest label i + 1 on its right hand side (see Figure 5).
A bijection for rooted maps on orientable surfaces
But Part II can not begin with a u edge, i.e., all edges (if exist) starting form i(cid:13) are h edges, so we should further partition Part II into three parts, by ﬁnding the last i, denoted by i∗ , in counterclockwise order such that ( i(cid:13),i∗ ) is an h edge which contributes an y t, see Figure 3.
Pattern Avoidance in Generalized Non-crossing Trees
These geometric operations reduce n and m by one without changing the Euler characteristic: the number of edges and the number of vertices are reduced by 1; the faces are preserved – in the case of edge ﬂip in Fig. 2, the edges of the face from which we remove the edge, after reduction follow the same order.
Duality of real and quaternionic random matrices
Their methods are based on independent sampling of edges with carefully chosen edge probabilities and require Ω(n log n) edges to get any approximation; with fewer edges, the subgraph obtained could be disconnected.
Expanders via Random Spanning Trees
Observe that every alternative path contains a shortcut edge from one of the following three categories: (1) edges that connect vertices in Vi and Vj , where i ≤ k and j ≥ k + 1; (2) edges of type 3&i where i ≤ k − 3; (3) edges of type 2&i where i ≤ k − 3.
Transitive-Closure Spanners
In the client/server problem, we only wish to span a subset of edges of G, called client edges, and we may only use a subset of edges of G for spanning, called server edges.
Transitive-Closure Spanners
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