# diverge

## Definitions

• WordNet 3.6
• v diverge move or draw apart "The two paths diverge here"
• v diverge be at variance with; be out of line with
• v diverge extend in a different direction "The lines start to diverge here","Their interests diverged"
• v diverge have no limits as a mathematical series
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Webster's Revised Unabridged Dictionary
• Diverge To differ from a typical form; to vary from a normal condition; to dissent from a creed or position generally held or taken.
• Diverge To extend from a common point in different directions; to tend from one point and recede from each other; to tend to spread apart; to turn aside or deviate (as from a given direction); -- opposed to converge; as, rays of light diverge as they proceed from the sun.
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Century Dictionary and Cyclopedia
• diverge To move or lie in different directions from a common point; branch off: opposed to converge.
• diverge In general, to become or be separated from another, or one from another; take different courses or directions: as, diverging trains of thought; lives that diverge one from the other.
• diverge To differ from a typical form; vary from a normal state or from the truth.
• diverge In mathematics, to become larger (in modulus) without limit: said of an infinite series when, on adding the terms, beginning with the first, the sum increases indefinitely toward infinity. A series may be divergent without diverging. See divergent series, under divergent.
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Chambers's Twentieth Century Dictionary
• v.i Diverge di-vėrj′ to incline or turn apart: to tend from a common point in different directions: to vary from the standard
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## Quotations

• Robert Frost
“Two roads diverge in a wood, and I took the one less traveled by, and that has made all the difference.”

## Etymology

Webster's Revised Unabridged Dictionary
L. di-, = dis-, + vergere, to bend, incline. See Verge
Chambers's Twentieth Century Dictionary
L. dis, asunder, vergĕre, to incline.

## Usage

### In literature:

What was the ultimate cause of this glaring divergency?
"The Framework of Home Rule" by Erskine Childers
Followed the river for some distance, and then diverged towards the N.W.
"Journals of Travels in Assam, Burma, Bhootan, Afghanistan and TheNeighbouring Countries" by William Griffith
Still there are divergent lines of thought, the most important of which are Hinduism and Buddhism.
"Hinduism and Buddhism, Vol I. (of 3)" by Charles Eliot
In the first place, we notice a wider divergence between the imago and the larva.
"The Life-Story of Insects" by Geo. H. Carpenter
These lenses diverge the rays and make them focus on the retina.
"The Science of Human Nature" by William Henry Pyle
As maturity approaches, the sexes diverge.
"Sex in Education" by Edward H. Clarke
They diverge slightly, and at 65 feet are about 12 feet apart.
"Archeological Investigations" by Gerard Fowke
The exception is when the forks run parallel after bifurcating and then diverge.
"The Science of Fingerprints" by Federal Bureau of Investigation
We recognize at once an immense divergence from our inherited forms of religious faith.
"Modern Religious Cults and Movements" by Gaius Glenn Atkins
Of these divergent tendencies it is easy to see which must conquer.
"The Atlantic Monthly, Volume 13, No. 77, March, 1864" by Various
Another point of divergence is, that the African elephant has only three nails on the hind feet, whereas the Asiatic has four.
"Natural History of the Mammalia of India and Ceylon" by Robert A. Sterndale
A divergence appears with the determination of the other elements of the vertebrae.
"Form and Function" by E. S. (Edward Stuart) Russell
Beyond that common conclusion, opinions diverged widely.
"Integration of the Armed Forces, 1940-1965" by Morris J. MacGregor Jr.
But the sand became gradually higher and forced us to diverge to the north-east.
"From Pole to Pole" by Sven Anders Hedin
Warder and his companion did not require to diverge in order to follow these tracks.
"The Red Man's Revenge" by R.M. Ballantyne
Does Monsieur intend to make a divergence to the Col de Balme?
"Rivers of Ice" by R.M. Ballantyne
The more, therefore, that the savage diverged, the more did his pursuers diverge in their determination to have him.
"The Rover of the Andes" by R.M. Ballantyne
Why, then, this remarkable divergence?
"My Studio Neighbors" by William Hamilton Gibson
So long as in practice things ran smoothly, divergences of opinion were easily tolerable.
"Sea Power in its Relations to the War of 1812" by Alfred Thayer Mahan
His divergence was perceptible, though the angle was obtuse.
"Footprints in the Forest" by Edward Sylvester Ellis
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### In poetry:

From the common urges,
From the human highest
Far thy path diverges:
Following thou fliest…
"Time Without End" by Arthur Rimbaud
TWO travellers, worn with sun and rain
And gropings o'er dim paths unknown,
Meet where long separate ways have grown
To one, and then diverge again.
"Sundered Paths" by Mathilde Blind
Then from my heart will young petals diverge,
As rays of the sun from their focus;
I from the darkness of earth will emerge,
A happy and beautiful crocus.
"The Crocus's Soliloquy" by Hannah Flagg Gould
We've reached diverging paths, dear heart,
'Tis pity, but 'tis true, we part;
It may be thine, it may be mine;
But truly the fault seems thine.
But place it, dear, just where you will,
The fault, let it be mine.
"The Love That Would Not Keep" by Samuel Alfred Beadle
Still I passed on until I reached at length, not knowing
Whither the tangled and diverging paths might lead,
A land of baser men, whose coming and whose going
Were urged by fear, and hunger, and the curse of greed.
"The Land Of Pallas" by Archibald Lampman
Young life and young thought are alike barred,
And no unheralded noises jolt old nerves,
And old wheezy breaths
Pass around old thoughts, dry as snuff,
And there is no divergence and no friction
Because life is flattened and ground as by many mills.
"The Ghetto" by Lola Ridge

### In news:

Poll finds divergent views on Eagles' Andy Reid, Michael Vick.
Motorola Solutions, Motorola Mobility fortunes still divergent .
Radically divergent visions on display as Colombian peace talks launch in Norway.
Shailene Woodley in talks for ' Divergent '.
Fed officials offer divergent views on inflation risks.
Teens Pick ' Divergent ' as Favorite Novel.
The young adult division of the American Library Association announced Monday that Roth's " Divergent " was picked No.
Neil Burger in talks to helm Summit's ' Divergent '.
" Divergent ," by Veronica Roth.
States divergent in plans for health care ruling.
While the picture of a new Rx-to-OTC switch paradigm is being painted with a broad stroke brush, already there are two divergent pathways emerging around what that new paradigm landscape might look like.
Divergent was a New York Times bestseller, while the second book in the series, Insurgent, was released last week.
On Twitter, divergent strategies for Romney, Gingrich.
Divergent beam photoelectric sensors detect transparent, small, glossy targets without a reflector.
The Divergent Fortunes of Saab and Volvo.
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### In science:

Equations (16) and (17) follows from the fact, that divergency of the usual energy momentum tensor and divergency of the ”additional energy - momentum tensor”, stipulated by the interaction, equals to zero.
Macroscopic Einstein equations for a system of interacting particles and their cosmological applications
Here, the low-energy excitations are rare; they are typically spaced by distance Lω , which diverges as a power-law at low energy and thus is much larger than the excitation’s typical size, which is diverging only logarithmically.
Dynamics and transport in random quantum systems governed by strong-randomness fixed points
In other words, an ultraviolet divergence gets replaced by a divergence as p2 → 0.
The Utility of Quantum Field Theory
There is constant divergence transverse to the surface, and this divergence leads to contraction on the surface.
Mechanism of synchronization in a random dynamical system
Phase diagram The phase diagram can be obtained as usually by the evolution of the maximum of some diverging quantity, let say the susceptibility for example which diverges at criticality in the thermodynamic limit.
Quenched bond dilution in two-dimensional Potts models
If we calculate these divergences in the methods of dimensional regularization, the form of these divergence will not violate gauge symmetry of the theory[36, 37].
Gauge Theory of Gravity
Notice that the CLF expression (Eq. 6) diverges for N → N0 , while the previous formula this divergence does not occur.
Reptation in the Rubinstein-Duke model: the influence of end-reptons dynamics
Such unfortunate situations are, in general, associated with modes of zero energy, which then leads to divergent number of bosons (or divergent magnetization).
Modified spin-wave study of random antiferromagnetic-ferromagnetic spin chains
On cooling towards Tc , α relaxation times are predicted to diverge with a fractional power law in T − Tc . A comparison with measured relaxation times and viscosities shows that such a divergence does not correctly describe the glass transition .
Structural Relaxation and Mode Coupling in a Simple Liquid: Depolarized Light Scattering in Benzene
Hence, if g is any metric in M and φi is any divergent sequence of diffeomorphisms, then gi = φ∗ i g is a divergent sequence in M, (at least if the manifold M is compact for instance).
Cheeger-Gromov Theory and Applications to General Relativity
As noted above, any given solution may, apriori, have unbounded curvature, i.e. |Ricg | may diverge to inﬁnity on divergent sequences in Σ.
Cheeger-Gromov Theory and Applications to General Relativity
If we choose to renormalize the theory in the usual way then the remaining IR divergence becomes a source of trouble since it leads, in general, to non-integrable divergences in higher loop orders jeopardizing renormalizability.
Noncommutative Supersymmetric Theories
Since the UV/IR mixing appears at the level of quadratic divergences a candidate theory would be a supersymmetric one because it does not have such divergences.
Noncommutative Supersymmetric Theories
In the four-point function there is a partial cancellation of divergences but a logarithmic divergence still survives.
Noncommutative Supersymmetric Theories
If the Poincar´e series diverges at s = DΓ then Γ is called divergent.
Quasiconformal Rigidity of Negatively Curved Three Manifolds
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