In literature:
Then he pushed open the garden gate and walked up the path to the door.
"The Book of Stories for the Storyteller" by Fanny E. Coe
He walked up the little path, and fitted the key with which Allbut George had provided him, into the lock.
"Antony Gray,--Gardener" by Leslie Moore
Their path and our path draws together an' enters the valley as one path.
"A Virginia Scout" by Hugh Pendexter
The path of Jupiter is thus about 5.2 times as great in diameter as the path pursued by the earth.
"The Story of the Heavens" by Robert Stawell Ball
My wooing promised to be anything but easy; my love-path was likely to be a rugged one.
"The Quadroon" by Mayne Reid
But there was no path, and I saw it would be useless carrying the pursuit any further till we should have the light of morning.
"The Free Lances" by Mayne Reid
For weeks thereafter, go where I would, he would suddenly appear on the path behind me, poising in his right hand that same Goliath spear.
"The Story of John G. Paton" by James Paton
The path was so flowery and bright that I had no fear of the turnings of the way.
"A Vanished Hand" by Sarah Doudney
Father Claude came up the path, walking slowly and wearily, and entered the hut.
"The Road to Frontenac" by Samuel Merwin
One thing was sure: the path did not end here, if it really was a path, and not a chance formation.
"The Web of the Golden Spider" by Frederick Orin Bartlett
It is said that on one occasion his path was crossed by a brook twenty feet wide.
"Ferdinand De Soto, The Discoverer of the Mississippi" by John S. C. Abbott
Benda's mind did not work along the paths of symbolism.
"Astounding Stories of Super-Science September 1930" by Various
On the way, Hansel broke his in his pocket, and, stooping every now and then, dropped a crumb upon the path.
"Boys and Girls Bookshelf (Vol 2 of 17)" by Various
He tried to avoid the man but Galitzin planted himself firmly in his path, scrutinizing him eagerly.
"The Vagrant Duke" by George Gibbs
The little party ascended the sloping path.
"The Hound From The North" by Ridgwell Cullum
He slipped, reeled, threw out his hands, and sank down unconscious on the grass at the side of the path.
"Astounding Stories of Super-Science, October, 1930" by Various
The path is a little ahead.
"The Pathless Trail" by Arthur O. (Arthur Olney) Friel
Slipping away from her sister, Hertha sought one of the little paths in the sand that led toward the river.
"The Shadow" by Mary White Ovington
The path made a sudden turn, and stopped.
"East Angels" by Constance Fenimore Woolson
We are treading the wrong path, a path full of peril.
"On the Heights" by Berthold Auerbach
***
In poetry:
The river road is wide and fair,
The prairie-path is free,
And still the old earth waits to give
Her strength and joy to thee.
"The Call" by Virna Sheard
O Thou! by Whom we come to God,
The Life, the Truth, the Way;
The path of prayer Thyself hast trod:
Lord, teach us how to pray.
"What Is Prayer?" by James Montgomery
Down the little brown path through the woodland
I went in my dreaming last night
and saw near the brackens uncurling
Anemones white.
"The Little Brown Path" by Fay Inchfawn
I hear thy victims' ceaseless wails,
I view the path my race hath trod,
And at the sight my spirit quails,
And cries in agony to God!
"The Waif" by John Lawson Stoddard
And thus each tint or shade which falls,
From sunset cloud or waving tree,
Along my pilgrim path, recalls
The pleasant thought of thee.
"My Thanks," by John Greenleaf Whittier
"Stop!" Caleb cried, "you've lost the path;
"The water's close before;
"I see it shine, 'tis very deep,--
"Why, don't you hear it roar?"
"The Drunken Father" by Robert Bloomfield
In news:
His turbulent path to 'Breaking Bad.
N o one in the restaurant world has followed a career path quite like Mathieu Palombino's.
Brain trust sees bike paths, solar energy, gateway improvements in Rifle.
Brainstorming A Path To Sustainability.
Gadget-shoppers: Pick your path carefully.
Terror Suspect's Path From Streets to Brig .
GT Savannah's 'Path Forward' a strange one.
Michele Bachmann, in Iowa on Tuesday, hopes to follow Mike Huckabee's path to victory there.
Residents on the north side of Peachtree Industrial Boulevard who want to take the family to PlayTown Suwanee will soon have a path.
Buddhists believe that through that path one awakens to what already is – "the natural great perfection".
Job coaches capitalize on their own bull market as the downsized and unemployed beat a path to their door.
Everything in its path would be ground up and pushed away.
We're constantly keeping an eye on the path of Sandy as the.
Weil by Nature 's Path Veri-Berry Hot Oatmeal.
View full size John Munson/The Star-Ledger A passenger gets on a train at the Harrison PATH station last month.
***
In science:
We refer to such a path as a C -taut path. (A zero-taut path is called simply a taut path.) Let x′ be the ﬁrst time in Q a vertex equal to the initial vertex of Pi , modulo T , occurs.
Random Surfaces
Then we can replace Q with a new C -taut path by moving the translating the path Pi so that it begins at x, and translating the path between x′ and z1 so that it begins at x + (yi − xi ).
Random Surfaces
The set of paths of arbitrary length is called path space of the graph (see for precise de ﬁnitions.) Notice that the conditio n that two subsequent vertices must be an allowed edge prevents some sequences of vertices from being a path.
Bindweeds or random walks in random environments on multiplexed trees and their asympotics
Deﬁnition ( V –paths ) By a V –path we shall mean an edge path in Θ whose initial and terminal vertices lie in V .
Automorphisms and abstract commensurators of 2-dimensional Artin groups
If the end points at z = N are separated by r ≪ N ν , the paths remain separated (each path exploring an independent disordered region) until they join at ∆z ∼ r1/ν , after which they follow the same path.
Directed polymers and Randomness
This sequence of steps is called a path γxy of length |γxy | = k (paths may have repeated vertices, but a given edge appear at most once in a given path).
Ramdom walks on hypergroup of circles in finite fields
Just as we may uniquely factorize a path in a directed graph into its constituent edges, given a path λ ∈ Λ and any m, n ∈ Nk such that d(λ) = m + n, there are unique paths ξ , η ∈ Λ such that d(ξ ) = m, d(η) = n and λ = ξη .
Topological higher-rank graphs and the $C^*$-algebras of topological 1-graphs
Intersection of paths. between the backward path and the path of an independent random walk.
Limiting velocity of high-dimensional random walk in random environment
Path optimization may be shortcut if, at every Tn , a random path choice is effected – resulting in what we term random path DD (RPD) [7, 22].
Enhanced Convergence and Robust Performance of Randomized Dynamical Decoupling
Therefore, the only way that the path in Tk from xi to xj can traverse some but not all of the vertices labeled h is if one of the other paths Pb with b > g(h) hits the path Pg(h) at one of the vertices labeled h.
The loop-erased random walk and the uniform spanning tree on the four-dimensional discrete torus
Because the path in Tk from xi to xj traverses portions of these paths, and the path in T ∗ from ζi to ζj traverses the corresponding paths in T ∗ , it follows that if h ∈ J c then h ∈ Si,j if and only if there is a vertex labeled h on the path in Tk from xi to xj .
The loop-erased random walk and the uniform spanning tree on the four-dimensional discrete torus
The distance ˜d(yi , yj ) is the number of vertices on the path between yi and yj in ˜T , and the distance ˜d∗ (yi , yj ) is the length of the path between yi and yj in the tree ˜T ∗ , unless the path goes through ρ in which case ˜d∗ (yi , yj ) = ∞.
The loop-erased random walk and the uniform spanning tree on the four-dimensional discrete torus
The inﬁnitely continued path with the beginning in vertex I is a path with the beginning in I , which is not a subset of a larger path with the beginning in I .
Replica symmetry breaking related to a general ultrametric space I: replica matrices and functionals
We use the following notation for paths: • γ : v — w undirected path connecting v and w. • γ : v −→ w directed path from v to w. • γ : v ←→ w directed path from v to w or from w to v .
The Random Edge Simplex Algorithm on Dual Cyclic 4-Polytopes
For the SLEκ process, this predicts the existence of a κ → κ′ = 16/κ duality which associates simple (κ′ ≤ 4) SLE paths as external frontiers of non-simple paths (κ > 4) paths.
Conformal Random Geometry
***