• WordNet 3.6
    • n reciprocation mutual interaction; the activity of reciprocating or exchanging (especially information)
    • n reciprocation alternating back-and-forth movement
    • n reciprocation the act of making or doing something in return
    • ***
Webster's Revised Unabridged Dictionary
    • Reciprocation Alternate recurrence or action; as, the reciprocation of the sea in the flow and ebb of tides.
    • Reciprocation The act of reciprocating; interchange of acts; a mutual giving and returning; as, the reciprocation of kindness.
    • ***
Century Dictionary and Cyclopedia
    • n reciprocation A going back and forth; alternation of movement.
    • n reciprocation The act of reciprocating; interchange of acts; a mutual giving and returning: as, the reciprocation of kindnesses.
    • n reciprocation In logic, the relation of two propositions each the converse of the other.
    • n reciprocation The process of taking the reciprocal (of a curve, proposition, or quantity).
    • n reciprocation In geometry, the correlation of two reciprocal figures. See reciprocal, a., 4.
    • ***
Chambers's Twentieth Century Dictionary
    • Reciprocation interchange of acts: alternation
    • ***


  • 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.”


Webster's Revised Unabridged Dictionary
L. reciprocatio,: cf. F. réciprocation,
Chambers's Twentieth Century Dictionary
L. reciprocus.


In literature:

Pierre accepted the galette, reciprocated the civil speeches, but kept his eyes open.
"My Lady Ludlow" by Elizabeth Gaskell
This view of the reciprocal causal independence of mind and matter has no basis except in metaphysical theory.
"The Analysis of Mind" by Bertrand Russell
And affection, when reciprocated, gives rights.
"Howards End" by E. M. Forster
Love, reciprocal love, uplifts.
"Garrison's Finish" by W. B. M. Ferguson
Adams replied that he and his associates reciprocated this sentiment.
"Jefferson and his Colleagues" by Allen Johnson
The Yankee scorned the Southerner, who reciprocated with a double measure of dislike.
"The Old Northwest" by Frederic Austin Ogg
There was no reciprocity in this.
"Table-Talk" by William Hazlitt
Blaine, who was once more Secretary of State, began a vigorous agitation in favor of adding reciprocity provisions to the bill.
"The Cleveland Era" by Henry Jones Ford
So that you made us also," says he, "reciprocally sanctify and adore you.
"Essays and Miscellanies" by Plutarch
If the British commanders underrated their opponents, there is ample evidence that the mistake was reciprocal.
"The Great Boer War" by Arthur Conan Doyle
There ought to be reciprocity.
"Summer in a Garden, and Calvin, A Study Of Character" by Charles Dudley Warner
The present meeting, however, seemed likely to initiate such a reciprocity.
"Two on a Tower" by Thomas Hardy
In 1902 Hay arranged with Sir Robert Bond, Prime Minister of Newfoundland, a new reciprocity agreement.
"The Path of Empire" by Carl Russell Fish
She was not over-anxious to be gracious, and did not reciprocate his familiarity.
"Doctor Thorne" by Anthony Trollope
Reciprocally also, the Civill Law is a part of the Dictates of Nature.
"Leviathan" by Thomas Hobbes
He knoweth that protection and allegiance are reciprocal duties.
"Trial of the Officers and Crew of the Privateer Savannah, on the Charge of Piracy, in the United States Circuit Court for the Southern District of New York" by A. F. Warburton
This feeling was but faintly reciprocated by Byron.
"Harper's New Monthly Magazine, v. 3, number 18" by Various
Gradually these reciprocal instincts open upon the child the first thing it knows; namely, that it is dependent for the means of life.
"Guide to the Kindergarten and Intermediate Class and Moral Culture of Infancy." by Elizabeth P. Peabody
But the other in no wise reciprocated that warming sentiment.
"Fordham's Feud" by Bertram Mitford
Reciprocity is the rule some persons never seem to comprehend.
"The Women of the Confederacy" by J. L. Underwood

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
"I doubt it not," said John, "and I
Reciprocate the feeling,
And here, with one despairing cry,
I kneel, and love you, kneeling."
"John And Jane" by Thomas Frederick Young
Reciprocal visits were often,
He slept with me, I slept with him,
Talked till near dawn of daylight,
With fluent and scholarly Tim.
"Tim" by Jared Barhite
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

In news:

This paper shows that reciprocity has significant implications for computer agents that interact with people over time.
In the dance for customers, companies seek waltz partners willing to offer reciprocal deals.
Kentuckians putting trust in God, God unlikely to reciprocate edition.
Tuition reciprocity stokes cross-border rivalry for declining pool of students.
Officials say reciprocity arrangement is mutually beneficial to both states.
Wisconsin, Minnesota use tuition reciprocity to lure best students.
Harper Says Takeover Reciprocity Is Challenge, Post Reports.
It appears an income tax reciprocity agreement between Minnesota and Wisconsin will not be in place for 2013.
Talks on reinstating income tax reciprocity with Minnesota have stalled and an agreement likely will not be reached before 2013.
Hussey said his client became angry and reciprocated by knocking things off a mantle and throwing a vacuum cleaner into a wall outside the upstairs bedroom.
The change means Web sites will not be able to automate the import of a user's Google contacts into their own database, unless they reciprocate the exchange.
Primary sources advance social justice and curricular depth, if they support relevance, respect, and reciprocity.
Reciprocating screw injection molding machines.
Not bombs or violence, but how to reciprocate kindness, is my biggest problem in Palestine.

In science:

We now consider prime reciprocal or D sequences.
A DHT Based Measure of Randomness
Here the star denotes a reciprocal lattice. A2 is the hexagonal lattice, and is its own reciprocal.
Cover art: issues in the metric-guided and metric-less placement of random and stochastic template banks
It is instructive to give the results for the two-point properties also in reciprocal space.
Gravitational force in an infinite one-dimensional Poisson distribution
If the link is reciprocal, there will be two estimation result.
Practical Rate and Route Adaptation with Efficient Link Quality Estimation for IEEE 802.11b/g Multi-Hop Networks
Note that due to the link reciprocity assumption the same pro file is use d for reverse and forward direction of a link.
Practical Rate and Route Adaptation with Efficient Link Quality Estimation for IEEE 802.11b/g Multi-Hop Networks
C p (N← (u)) ; N← denotes the reciprocal function of N .
Importance Sampling for rare events and conditioned random walks
Hasegawa, Spin module versions of weyl’s reciprocity theorem for classical kac-moody lie algebras - an application to branching rule duality, RIMS, Kyoto Univ.
Topological Strings and Quantum Curves
By Frobenius reciprocity, x, y and z are pairwise distinct.
Semisimple Hopf algebras of dimension 60
We will construct the map δY in Section 2.1 and prove the image coincides with the kernel of the reciprocity map ρY .
On the kernel of the reciprocity map of simple normal crossing varieties over finite fields
Therefore we will get a information about the potential injectivity of the reciprocity map ρY by studying on G(Y ) and using the map α(ℓ) .
On the kernel of the reciprocity map of simple normal crossing varieties over finite fields
X is induced by the reciprocity map ρX of the unramified class field theory for X .
On the kernel of the reciprocity map of simple normal crossing varieties over finite fields
We can construct an example of a higher dimensional variety for which the reciprocity map is not injective for any finite scalar extension as follows; Let X be a pro jective smooth and geometrically irreducible variety over k .
On the kernel of the reciprocity map of simple normal crossing varieties over finite fields
Colliot-Th´el`ene, On the reciprocity sequence in the higher class field theory of function fields, in: P.G.
On the kernel of the reciprocity map of simple normal crossing varieties over finite fields
Here G is a reciprocal lattice vector and q is the separation parameter used to effect the Ewald summation; the results are independent of the value of q chosen, but values of q between 1.5 and 2.5 seem to lead to the most rapid convergence.
Pure and Random-Field Quantum Criticality in the Dipolar Ising Model: Theory of $Mn_{12}$ acetates
Reciprocal ly, for any ε > 0 there exists a surface Sε on which the geodesics are ε-dense.
Simple closed geodesics and the study of Teichm\"uller spaces