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:
Timber covered it from edge to edge, but over to the left a keen eye could see a thinning of the foliage.
"Brand Blotters" by William MacLeod Raine
Large 8vo, cloth extra, gilt edges, 5/-; extra cloth, gilt, 2/6.
"The Girls of St. Olave's" by Mabel Mackintosh
The remaining eastern edge is the Wasatch Mountains; the remaining western edge is the Sierra.
"The Book of the National Parks" by Robert Sterling Yard
Quinton Edge straightened up and passed his lace-edged handkerchief across his lips.
"The Doomsman" by Van Tassel Sutphen
Finally, each segment is decked at the hinder edge with two spots of a fairly bright red.
"The Glow-Worm and Other Beetles" by Jean Henri Fabre
Near the edge of the glade, on the side opposite to that by which the hunter has come in, is a fallen tree.
"The Wild Huntress" by Mayne Reid
Soak the edge along one end of the blotter in paraffine (Index) for about 1/4 in.
"How Two Boys Made Their Own Electrical Apparatus" by Thomas M. (Thomas Matthew) St. John
The rim of the hat must reach out to the edges of your case and be tacked there.
"Scouting For Girls, Official Handbook of the Girl Scouts" by Girl Scouts
Finish the edge by turning down the spokes as in the edge of the mat, or bend them down flat with the edge of the basket.
"Construction Work for Rural and Elementary Schools" by Virginia McGaw
Thrown properly, the sharp-edged disk would slice into an opponent like a knife.
"The Saracen: Land of the Infidel" by Robert Shea
She sat in silence on the edge of the bed while he lay there, brooding.
"The Saracen: The Holy War" by Robert Shea
Everything was in confusion, and all nerves on edge.
"Kings in Exile" by Sir Charles George Douglas Roberts
Extinguishing the lights, Peter slipped out on deck, leaned over the edge, and peered into the murk.
"Peter the Brazen" by George F. Worts
Two steps forward and he would fall over the edge and be killed.
"Shaman" by Robert Shea
Eject them quietly upon the fork and quickly deposit them upon the edge of the plate.
"Social Life" by Maud C. Cooke
The cigar-box wood should project a little over the edges to form a canopy.
"Boys' Book of Model Boats" by Raymond Francis Yates
Wet the edges of the crust, close it up well, make a few holes in the top, and bake it in a moderate oven.
"The Cook and Housekeeper's Complete and Universal Dictionary; Including a System of Modern Cookery, in all Its Various Branches," by Mary Eaton
But we are only on its edge and things are different here.
"Partners of the Out-Trail" by Harold Bindloss
Bythewood, after dismounting, also walked down to the edge of the stream in full view.
"Cudjo's Cave" by J. T. Trowbridge
We never thought to run to the bluff's edge and clamber down the shelving, precipitous sides.
"The Price of the Prairie" by Margaret Hill McCarter
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In poetry:
Edges of the world
Ever should be far;
Sand is not fair linen,
Rock a star.
"Desert Horizon" by Norman MacLeod
Seek ye no peace who tread the night;
I felt above my head
Blowing the cloud's edge, faces wry
In pale fury spread.
"The Kelso Road" by Frank Prewett
Sun with a mellower fall
Plot of your garden edges,
Slants through the house in hedges
Down through gaps in the wall.
"Visit" by Stefan Anton George
The word of Christ, our Lord,
With whom we have to do;
Is sharper than a two-edged sword,
To pierce the sinner through.
"The Word Quick And Powerful" by John Newton
It fell about the edge of dark,
Between the sun and moon,
The yeoman's son came home again
With the mire upon his shoon —
"The Yeoman's Son" by Cicely Fox Smith
A thicket of young pines arose,
Midway upon that frosty ground;
A shelter from the winds and snows,
And by its edge I found
"Under One Blanket" by James Barron Hope
In news:
Given the Sturm und Drang surrounding the economy and the financial markets over the past two years, it is tempting to believe that we are yet again on the edge of such a happy occasion.
The 7.5-mile course wound through meadows, woods, and the edges of the Catoctin Ridge.
Monday's Edge: This Edge needs some burping .
Lafayette edges Oxford in JV action.
Politics Bilbray edges out Busby .
But if the juxtaposition of the words "extreme" and "pumpkin" weren't already glee-inducing (that's what we like to see around the house — squash on the edge.
Redskins lived on the edge, but then fell off.
Marketers can gain an edge by supporting retailers' strategies.
COLUMBIA — Alina Rogers watched as her short putt wobbled across the green then off the outside edge of the cup.
We've been trained to be on the edge in fear of fiscal calamity .
Since 1824, a structure has been perched on the edge of Kilauea caldera to shelter visitors to the lava-strewn landscape.
Since we are on the edge of what could be a great harvest season for you, I would like to take a little time and give you some information on the importance of yield monitor calibration .
The HQView510 adds edge blending.
The HQView520 includes warp mapping and edge blending.
Our sandcastles and camping arena for the night was a high-top dune that overlooked the lakes edge.
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In science:
Use the collapsing map G ։ G1 to put weights on the edges of G1 ; thus the weight on an edge of G1 is the sum of weights of the edges of G that map to that edge.
Semigroups, rings, and Markov chains
At each step, we keep track of such a vector xt and a set Et of edges, namely, the edges on which xt is random; all other edges will be colored 0.
The Randomness Recycler: A new technique for perfect sampling
Any vertex v = (b, p) of the tree (except the root) has one ingoing edge and 0, 1 or 2 outgoing edges, in the latter case the vertex is called binary, then two other vertices of these two edges are in the points (k, j ) and (b − k, p − j − 1).
Gibbs and Quantum Discrete Spaces
In fact, we are interested here not in the complete degree of the vertex reached by following an edge from A, but in the number of edges emerging from such a vertex other than the one we arrived along, since the latter edge only leads back to vertex A and so does not contribute to the number of second neighbours of A.
Random graphs as models of networks
Let us now deﬁne a subset T (Q) of edges of Q′ by two selection rules: • In each conﬂuent face of Q, the edge that was added to form Q′ is selected. • For each simple face f of Q, an edge e is selected: let v be the vertex with maximal label in f, then e is the edge leaving v with f on its left.
Random Planar Lattices and Integrated SuperBrownian Excursion
We now construct a random graph Gπ = (V, Eπ ) having vertex set V and, for each e ∈ E, having exactly π (e) edges in parallel joining the endvertices of the edge e [the original edge e is itself removed].
The Random-Cluster Model
They are deﬁned as statistical lattice models, for which the conﬁguration maps σ go from the set of edges of the lattice to T = {0, 1}, where σ (e) = 1 iff the edge e is occupied by a loop edge.
Geometrically Constrained Statistical Models on Fixed and Random Lattices: From Hard Squares to Meanders
We begin by calculating the probability that no edge connects a source node with K outgoing edges and a target node with R incoming edges.
Subgraphs in random networks
The result now follows from the fact that every edge of Dn is an edge of at least one simplex and at most d! simplices of ˆDn—and each edge of a simplex of ˆDn is also an edge of the graph Dn .
Random Surfaces
Since a bad edge is the ﬁrst or the last edge of the path, if e = (z, z ′ ) ∈ γ (x, y ) is a bad edge then we have either z ∈ B and x = z or z ′ ∈ B and z ′ = y .
Convergence to equilibrium for finite Markov processes, with application to the Random Energy Model
Recall that the number of possible partitions P of the 4r edges of our quadruple of circuits into |P | distinct groups of s-matching edges, with at least two edges in each group, is independent of n.
Spectral measure of large random Hankel, Markov and Toeplitz matrices
If the invariance conditions are fulﬁlled on the edge of the initial approximation, f # M, accurate to the k−th derivative in time, then the Newton method leads to the fact that after the (k + 1)−th iteration the edges of the manifold will be changed (the ﬁlm tears off the edge).
Geometry of irreversibility: The film of nonequilibrium states
The network consists of an out-hub with ten outgoing edges, an in-hub with ten incoming edges, and ten nodes with one incoming edge and one outgoing edge each.
On the uniform generation of random graphs with prescribed degree sequences
For ϑ ∈ Tk, let eroot be the length of the unique edge connected to the root, and for e < eroot write ϑ − e for the tree with edge-lengths that has same skeleton and same edge-lengths as ϑ, but for the edge pointing outward the root which is assigned length eroot − e.
The genealogy of self-similar fragmentations with negative index as a continuum random tree
Therefore, the groupoid P is generated by the set of edges, although it is not freely generated, since composition of edges may produce new edges.
On the structure of the space of generalized connections
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