golden mean

Definitions

  • WordNet 3.6
    • n golden mean the middle between extremes
    • n golden mean the proportional relation between two divisions of line or two dimension of a plane figure such that short : long :: long : (short + long)
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Webster's Revised Unabridged Dictionary
    • Golden mean the way of wisdom and safety between extremes; sufficiency without excess; moderation.
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Chambers's Twentieth Century Dictionary
    • Golden mean the middle course between two extremes: a wise moderation
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Etymology

Chambers's Twentieth Century Dictionary
O. Fr. meien (Fr. moyen)—L. medianus, enlarged form of medius.

Usage

In literature:

He read its meaning, and saw his golden opportunity.
"The Story of Red Feather" by Edward S. (Edward Sylvester) Ellis
This author has struck the golden mean.
"The Atlantic Monthly, Volume 14, No. 85, November, 1864" by Various
He regarded it as the golden mean.
"Robert Elsmere" by Mrs. Humphry Ward
I had last night a most peculiar one, and I will give this golden coin to whomsoever is able to explain its meaning.
"Pharaoh's Broker" by Ellsworth Douglass
Hold fast the golden mean (II, x, 5).
"Horace" by William Tuckwell
Moreover the golden mean is suggested, that principle of action so familiar in later Greek philosophy.
"Homer's Odyssey" by Denton J. Snider
He gathered the leaves by means of a golden sickle, which was set apart expressly to this use.
"Nero" by Jacob Abbott
Freedom is the golden mean between license and slavery.
"Flowers of Freethought" by George W. Foote
It means that I have brought you another Golden Lily in place of the one you said I spoiled.
"Mrs. Tree" by Laura E. Richards
Yours said, 'a golden treasure,' but that doesn't mean a gold mine.
"Silver and Gold" by Dane Coolidge
He was a sworn foe to the unusual and the conspicuous, a praiser of the golden mean, a kind of city uncle modified by Cheeryble.
"The Works of Robert Louis Stevenson, Volume 9" by Robert Louis Stevenson
There is but one conceivable means of showing them, namely to represent them as golden.
"The Stones of Venice, Volume III (of 3)" by John Ruskin
And yet it was mean, it was very mean in you, sir, thus to overstep the golden mean of manners.
"The Advocate" by Charles Heavysege
We choose to shoot like a philosopher as we are, and to preserve the golden mean in murder.
"Recreations of Christopher North, Volume I (of 2)" by John Wilson
All prudent counsel, as to what befits The golden mean, is lost on such an one.
"The Voice of Science in Nineteenth-Century Literature" by Various
I mean the one yonder on the white stallion; he is carrying the narrow red banner with the golden dragon.
"The Scarlet Banner" by Felix Dahn
She has the golden mean, without any touch of the mediocre.
"Margaret Fuller (Marchesa Ossoli)" by Julia Ward Howe
Chrysostom means golden mouth.
"Historia Amoris: A History of Love, Ancient and Modern" by Edgar Saltus
They embody the doctrine of the golden mean.
"Letters from a Father to His Son Entering College" by Charles Franklin Thwing
Yes; it would be a golden opportunity, and I see your meaning.
"With Wolseley to Kumasi" by F.S. Brereton
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In poetry:

He loves when age and youth are met,
Fervent old age and youth serene,
Their high and low in concord set
For sacred song, Joy's golden mean.
"St. Simon And St. Jude" by John Keble
Ah, Rose, assume a gentle Avarice
And hoard the soft Allurements that entice;
For One will come who holds the Golden Means
To buy your Blushes at the Standard Price.
"The Rubáiyát of Omar Khayyám Jr." by Wallace Irwin
He that holds fast the golden mean,
And lives contentedly between
The little and the great,
Feels not the wants that pinch the poor,
Nor plagues that haunt the rich man's door,
Imbittering all his state.
"Horace. Book II. Ode X. " by William Cowper
To that high goal
Where self, for England's sake, was self-effaced,
In silence reining-in his soul
On the strait difficult line by wisdom traced,
'Twixt gulf and siren, avalanche and ravine,
Guarding the golden mean.
"A Home In The Palace" by Francis Turner Palgrave
Hail! steep ascents and winding ways,
Glimmering through melting morning haze,
Hail! mountain herd—bells chiming clear!
Hail! meads and cherry—orchards green,
And hail, thrice hail! thou golden mean,
The châlet's simple cheer!
"Celestial Heights" by Alfred Austin
All saints revile her, and all sober men
Ruled by the God Apollo's golden mean -
In scorn of which we sailed to find her
In distant regions likeliest to hold her
Whom we desired above all things to know,
Sister of the mirage and echo.
"The White Goddess" by Robert Graves

In news:

A secretary in the merchandising department suggested El Dorado , meaning "the golden one" but also referring to the legendary South American "Lost City of Gold" that taunted explorers for years.
The budding relationship between Alexander the Great and Aristotle in Annabel Lyon's historical fiction makes The Golden Mean worth a read.
The Not So Golden Mean .
In this case, the key to unlocking Obama's speech may be Aristotle's golden mean , the search for a mid-point between extremes.
Robert Downey Jr Calls Ricky Gervais' Golden Globes ' Hugely Mean-Spirited'.
Cast your minds back, film fans, to that golden era long, long ago when "13 Going on 30" and "Mean Girls" ruled the box office.
Leftover mashed potato es mean crisp, golden potato cakes the following morning.
Robert Downey Jr Calls Ricky Gervais' Golden Globes 'Hugely Mean-Spirited '.
(SAN FRANCISCO) – These days, in the city of the Golden Gate Bridge, your birthday suit better mean a nice outfit from Brooks Brothers.
Departures of Crowder , Johnson-Odom mean Golden Eagles will have to spread the scoring wealth.
Basically, the Golden State spent way beyond its means and as a result is being urged to release almost 30 percent of its prison population.
The Golden Globes nominations have been announced and, for many, that means award season is in full gear.
Against the backdrop of the magnificent Sierra Nevada mountains in Granada , the Alhambra, meaning "red castle" in Arabic, was named for the reddish-golden hue of its walls.
The Vancouver Sun's book club is discussing Annabel Lyon 's new novel The Sweet Girl, a follow up to The Golden Mean.
Philosophy gives us yin and yang, the golden mean and the balance of the humors.
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In science:

The charmed meson was identified in the golden decay channel D±∗ → K ∓π±π± and low momentum protons were identified by means of measuring the specific energy loss.
New Results from the H1 Collaboration
While these processes are also the golden modes in MFV or “effective MFV” with flavour blind phases, they can be generated in U (2)3 even in the absence of flavour blind phases by means of the new phase γ .
Minimal Flavour Violation and Beyond
In our study, we choose s to be the inverse golden ratio, s = (√5 − 1)/2, a choice motivated by the fact that the golden mean is considered to be the most irrational number . j allows the phase of the potential to be shifted, and will be used later to average over different realizations in our finite systems.
Quenches in a quasi-disordered integrable lattice system: Dynamics and statistical description of observables after relaxation
The number of A-sites in the lattice is ∼ τ N in the Fibonacci case and N/2 in the Thue-Morse case, where τ = limn→∞ (Fn−1 /Fn ) = (√5− 1)/2 is the inverse golden mean.
Soliton pinning by long-range order in aperiodic systems
In practice, such a golden rule is a reasonable zero-order approximation, which is expected to give the correct order of magnitude of the mean mass produced at a given resolution.
The Cosmological Mass Function
We can achieve this by choosing a sequence of rational approximants M /N of heff = 1/(d + g ), with d ∈ N and the golden mean g = (√5 − 1)/2 ≈ 0.618.
Universality in the flooding of regular islands by chaotic states
For the block Nx = Ny = 400, while the lattice space of the substrate b ≈ a/φ, where φ = (1+√5)/2 is the golden mean, in order to avoid the formation of commensurate structures at the interface.
Contact mechanics with adhesion: Interfacial separation and contact area
When s = 1, the golden mean in the elliptic case, several difficulties arise in the parabolic case.
Initial-Boundary Value Problems for Parabolic Equations
The double full line: the route of the maximum possible changes: from 0 to 1 and vice versa in any step (the route corresponding to the ‘Golden mean route’ on the Farey tree). The codon order after the rules given by R.
Genetic Code: The unity of the stereochemical determinism and pure chance
Arithmetic mean for both: 102±1. Notice also that the arrangement-ordering of “golden” AAs is the same as in Table 2.
Genetic Code: The unity of the stereochemical determinism and pure chance
OT] Popov, E. M. (1989) Strukturnaya organizaciya belkov, Nauka, Moscow. Rakočević, M. M. (1998) The genetic code as a Golden mean determined system, Biosystems 46, 283-291. Rakočević, M. M. (2004) A harmonic structure of the genetic code, J.
Genetic Code: The unity of the stereochemical determinism and pure chance
The stable and unstable foliated space structures are the Kronecker flows for angles θ and θ ′ , respectively, where θ = tan−1 (−γ ), θ ′ = tan−1(γ −1 ), and γ is the golden mean γ = (1 + √5)/2.
K-Theoretic Duality for Hyperbolic Dynamical Systems
The normalised radius ran is given in terms of σ and the golden mean τ from Eq. (24) and Eq. (29) as follows.
Scale-free Universal Spectrum for Atmospheric Aerosol Size Distribution for Davos, Mauna Loa and Izana
This settles in particular the golden mean universality conjecture.
Asymptotic rigidity of scaling ratios for critical circle mappings
An important corollary to Theorem A is the so-called golden mean universality conjecture.
Asymptotic rigidity of scaling ratios for critical circle mappings
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