An hour later, the path going over tree roots knotted like serpents, he stumbled and fell.
"1492" by Mary Johnston
In the centre of the lane a row of elm-trees displayed their gnarled, knotted roots.
"Fraternity" by John Galsworthy
A man is a bundle of relations, a knot of roots, whose flower and fruitage is the world.
"Essays, First Series" by Ralph Waldo Emerson
But it may be that you will find great lumps or knots on the root.
"The Library of Work and Play: Gardening and Farming." by Ellen Eddy Shaw
Jim had been busy during the day in picking up pine knots, and digging out old stumps whose roots were charged with pitch.
"Sevenoaks" by J. G. Holland
Crags appeared, and fern-crowded fissures and roots of trees like knots of frozen serpents.
"Foes" by Mary Johnston
On light, sandy soils a fairly good crop may be made, but on such soils, wilt and root-knot are dangerous foes.
"Agriculture for Beginners" by Charles William Burkett
I acted like a worm that had crept into the knot of a lotush-root.
"The Little Clay Cart" by (Attributed To) King Shudraka
He felt no soft pine needles under his moccasined feet, only the knotted roots of trees.
"Stories the Iroquois Tell Their Children" by Mabel Powers
Undoing the slip-knot of his painter, he shoves the canoe clear of its entanglement among the roots of the tree.
"The Death Shot" by Mayne Reid
The tree in Canada called the cedar is low, twisted, and knotted, with straggling roots growing in moist ground.
"Taking Tales" by W.H.G. Kingston
You must cut him close at the roote ende, an handfull vnder the knot.
"A New Orchard And Garden" by William Lawson
Another fault is that the vines are subject to root-knot.
"Manual of American Grape-Growing" by U. P. Hedrick
How deeply the roots of hope still knotted themselves in him he was now to realize.
"Tante" by Anne Douglas Sedgwick
A loathsome knot worked upon the planks, spread, and rooted there.
"The Unknown Sea" by Clemence Housman
Basia stumbled frequently against the knots and curls of those roots covered with snow.
"Pan Michael" by Henryk Sienkiewicz
Be sure to pull up the root, and you will find it covered with small bulbs or knots.
"Flowers Shown to the Children" by C. E. Smith
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Init() initializes a matrix of sknots, where every knot represents the root of a String Tree, i.e. a tree representation of a string.
AMEGIC++ 1.0, A Matrix Element Generator In C++
If no granny exists, i.e. the actual knot is the root, the string of the left knot is set to ’0’.
AMEGIC++ 1.0, A Matrix Element Generator In C++
The uncertainties will be close to the half width at half maximum of the peak divided by the square root of the number of knots.
The Nova Shell and Evolution of the Recurrent Nova T Pyxidis
It is then still possible to define the knotted graph algebra but only where q is an nth root of -1.
Is String Theory in Knots?
There is a choice of basis {x, y} for the group C so that x is the class of a meridian for the torus knot and y coincides with ˜c if ˜c is a primitive element of C and is a primitive root of ˜c otherwise.
On two-generator satellite knots
SAPs rooted at the origin, pΘ0 n is the number of these that contain Θ0 , and pΘ0 n (K ) is the number of the latter that yield a knot-type K SAP after a single strand passage is performed at Θ0 . tn (φ → ¯φ) (needed for the denominator of RK ) is then given by 1 − tn (φ → φ).
Knotting probabilities after a local strand passage in unknotted self-avoiding polygons
The base of the induction, when m = 0 , is evident, since reductions along disjoint spheres commute and thus, just as in the proof of Lemma 2. produce knotted graphs having a common root.
Roots in 3-manifold topology
Theorem 7 For any knotted graph (M , G) the root R(M , G) exists and is unique up to homeomorphism and removal of trivial components.
Roots in 3-manifold topology
According to our deﬁnition of the graph Γ for the case of knotted graphs, its vertices and hence roots of knotted graphs are deﬁned only modulo removing trivial pairs.
Roots in 3-manifold topology
Indeed, the connected components of the efﬁcient root of (M , K ) are exactly the prime factors of the knot K .
Roots in 3-manifold topology
We say ω in S 1 \{1} is regular for a knot K if ω is not a root of the Alexander polynomial of K .
Gordian adjacency for torus knots
If ω is regular for a knot K , then the signature σω (K ) is even, and if ω is a root of unity of prime order, then ω is regular for every knot [Tri69].
Gordian adjacency for torus knots
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