• Chambers's Twentieth Century Dictionary
    • Reciprocant (math.) a contravariant expressing a certain condition of tangency: a differential invariant
    • ***


  • Samuel Johnson
    “Life cannot subsist in society but by reciprocal concessions.”
  • Washington Irving
    “Love is never lost. If not reciprocated, it will flow back and soften and purify the heart.”
  • Louis K. Anspacher
    Louis K. Anspacher
    “Marriage is that relation between man and woman in which the independence is equal, the dependence mutual, and the obligation reciprocal.”


Chambers's Twentieth Century Dictionary
L. reciprocus.


In literature:

The baddish boy reciprocated fluency.
"Christie Johnstone" by Charles Reade
A Declaration of Rights is, by reciprocity, a Declaration of Duties also.
"The Writings of Thomas Paine, Volume II" by Thomas Paine
Hatred is increased by being reciprocated, and can on the other hand be destroyed by love.
"The Ethics" by Benedict de Spinoza
I was only wondering whether a suggestion of reciprocation might not have been wise.
"The Witch of Prague" by F. Marion Crawford
Nor would any nice woman let a man take such a journey on her behalf unless she reciprocated his feelings.
"The Lamp of Fate" by Margaret Pedler
At first nothing passed but reciprocal compliments and observations from Cardinal Bissy, appropriate to the subject.
"The Memoirs of Louis XIV., His Court and The Regency, Complete" by Duc de Saint-Simon
We loved each other without shame or mystery, and wished to continue our reciprocal affection.
"The Confessions of J. J. Rousseau, Complete" by Jean Jacques Rousseau
And, when this influence is reciprocal, it is the relation of community or reciprocity.
"The Critique of Pure Reason" by Immanuel Kant
In what manners did she reciprocate?
"Ulysses" by James Joyce
It amounted to a reciprocal dislike, an irritation provoked by each other's presence.
"Thyrza" by George Gissing
The elevation of Caesar placed him not above discharging reciprocally the social duties in the intercourse of life.
"The Lives Of The Twelve Caesars, Complete To Which Are Added, His Lives Of The Grammarians, Rhetoricians, And Poets" by C. Suetonius Tranquillus
He was not deficient in expressions of reciprocal regard.
"The Adventures of Ferdinand Count Fathom, Complete" by Tobias Smollett
We must now determine their reciprocal rights, and find which of them is the real master in our soul.
"The Aesthetical Essays" by Friedrich Schiller
Indeed, we cannot find one of them that is not erected on the reciprocal influence between God and man, and between man and God.
"Letters To Eugenia" by Paul Henri Thiry Holbach
If you can grant me my desire, I will reciprocate.
"The Money Gods" by Ellery H. Clark
A strong reciprocal affection between Master and disciple in each case.
"The World's Sixteen Crucified Saviors" by Kersey Graves
We may in this manner rationally and satisfactorily account for the origin of the doctrine of the reciprocal principles.
"Ophiolatreia" by Anonymous
And almost at once his love was reciprocated.
"Superwomen" by Albert Payson Terhune
But they are stimuli only in case their manipulation to form a new whole occasions resistance, and thus reciprocal tension.
"Studies in Logical Theory" by John Dewey
It conditions comparison and reciprocal distinction.
"Essays in Experimental Logic" by John Dewey

In poetry:

My friends will me forget;
But why should I regret?
Nor human love nor hate
I then reciprocate.
"Of Death And Life" by Alfred Gibbs Campbell
Urit spes animi credula mutui.—Hor.
Fond hope of a reciprocal desire
Inflames the breast.
"Ode, written 1739" by William Shenstone
Symbol of what you are,
Reciprocal, that star
Burns with your life, no less
Quick with your consciousness
Than your own vital brain.
Cell, muscle, nerve, and vein.
"Idealism" by E J Rupert Atkinson
OUR hero felt a thousand times more blessed
Than when he first the beauteous fair caressed;
For when a flame reciprocal is raised,
The bliss redoubles, and by all is praised.
"Richard Minutolo" by Jean de La Fontaine
Theft is theft and raid is raid
Though reciprocally made.
Lovers, the conclusion is
Doubled sighs and jealousies
In a single heart that grieves For lost honour among thieves.
"The Thieves" by Robert Graves
Who seek a friend should come dispos’d
To exhibit, in full bloom disclos’d,
The graces and the beauties
That form the character he seeks,
For ‘tis a union that bespeaks
Reciprocated duties.
"Friendship" by William Cowper

In news:

Hats off to Reciprocity 's luncheon.
PEO Reciprocity Bureau President Lucretia Knutson joins scholarship recipients Carrie Brubaker, Heather Campion Payne and Holly Hodges at the group s Founder s Day luncheon.
Michigan Becomes First State to Achieve Maximum Reciprocity for Concealed Carry Across the Nation.
Owens votes in favor of gun-control ' reciprocity '.
Reciprocity News & Trends.
Several US states have reciprocal arrangements for recognizing and granting licenses to real estate licensees from other states.
It's a great opportunity for key members of a company's management team to see the gyratory reciprocating motion, and learn how Rotex machines make an operation more efficient and increase revenue.
My sister has always been my best friend, with whom I could share it all, but the blinders about reciprocity, support and validation are slipping off.
The WaveOne single-file reciprocating system.
In light of the Washington Post 's Pulitzer-worthy piece today on Mitt Romney's time in high school, conservatives decided to reciprocate and dig a little into the president's past.
"Outside my office window two young squirrels are at play– it's easy to imagine reciprocal tickling binds them during their lively wrestling and racing through the tree branches," akin to human " tickle battles" that sometimes wind up in sex.
Support policies that promote American interests by requiring full reciprocity, fairness and transparency in all US trade agreements.
Cincinnati Council could end tax reciprocity.
Just like humans, our primate relatives grapple with issues of dominance, family organization, reciprocation, competition and altruism.
Cincinnati Council could end tax reciprocity.

In science:

It may require a different formalism as the reciprocal space description of Eq. 5 is bound to break down for truly random systems.
First-principles study of the optical properties of MgxTi(1-x)H2
For the reciprocal, assume that µi − µj = ǫ(λσi − λσj ).
On Morita equivalence for simple Generalized Weyl algebras
We denote by g ij the reciprocal (inverse) to gij d-tensor f ield.
Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
Following dif ferent geometric techniques, introducing anti-commuting/noncommuting variables, performing Seiberg–Witten transforms in gauge gravity, or using Born’s reciprocity principle etc, noncommutative and nonsymmetric metrics and connections are generated to be mutually related as certain f ield variables.
Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
Castro C., On Born’s deformed reciprocal complex gravitational theory and noncommutative gravity, Phys.
Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
N = LD , and where ρ(q) is the coarse-grained density of modes on the reciprocal lattice.
Global fluctuations in physical systems: a subtle interplay between sum and extreme value statistics
Indeed, we can assign to each |ψi a unit vector nψ = (sin θψ cos ϕψ , sin θψ sin ϕψ , cos θψ ) on the Bloch sphere and, reciprocally, to each unit vector nψ ∈ S 2 it corresponds a normalized qubit-state |ψi (modulo a phase).
A non-local hidden-variable model that violates Leggett-type inequalities
Then, formally, from root test asymptotics, the pressure would be the reciprocal of the location of the singularity.
Large deviations for the leaves in some random trees
At the opposite, the longer the extension of the injected plume and the more persistent are the effects of the reciprocal interactions, before eventually dispersion takes over.
A nonlinear random walk approach to concentration-dependent contaminant transport in porous media
This model seeks to incorporate in random graphs the notion of reciprocity, that is, the larger than expected number of triangles and other small subgraphs.
Mixing time of exponential random graphs
One network model that attempts to incorporate reciprocity is the exponential random graph model.
Mixing time of exponential random graphs
Recall that the effective resistance is the reciprocal of the effective conductance.
Cutpoints and resistance of random walk paths
Therefore the property of orthogonality of arrays is reciprocal.
Multivariate Statistical Analysis: A Geometric Perspective
Moore, On the reciprocal of the general algebraic matrix, Bull.
On generalized inverses and Green's relations
The inverse of −η restricted to πk 1 (UK ) coincides with the reciprocity isomorphism θ : πk I (K ab/K ) of Serre and Hazewinkel ([Ser61], [DG70]), where I denotes the inertia group.
Some remarks on the local class field theory of Serre and Hazewinkel