# extremum

## Definitions

• WordNet 3.6
• n extremum the point located farthest from the middle of something
• n extremum the most extreme possible amount or value "voltage peak"
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## Usage

### In literature:

The old horse should be left to graze out his last days, Ne peccet ad extremum ridendus.
"The Prime Minister" by Anthony Trollope
Non laetus accubui, cibum modice sumpsi, ne intemperantia ad extremum peccaretur.
"Life Of Johnson, Volume 4 (of 6)" by Boswell
Extremum gaudii luctas occupat.
"The Anatomy of Melancholy" by Democritus Junior
Peccet ad extremum ridendus et ilia ducat.
"Diderot and the Encyclopædists" by John Morley
AD EXTREMUM (L.), to the extreme.
"Chambers's Twentieth Century Dictionary (part 4 of 4: S-Z and supplements)" by Various
Ah miser, extremum cui mortis munus iniquae Eripitur, non posse mori!
"Thalaba the Destroyer" by Robert Southey
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### In news:

From extreme to extremum .
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### In science:

Usually this is not a problem: all modules searching for seeds are constantly moving preventing any ﬁxed local extremum.
Multiagent Control of Self-reconfigurable Robots
When the conditions of Eq. (2.19) are satisﬁed, the functional integral giving Z (α) is dominated by the extremum of the action S , namely the instanton.
Hopping between Random Locations: Spectrum and Instanton
Interestingly, this equation also follows form the extremum of the logarithm of the distribution function (36) with respect to η .
Instanton approach to the Langevin motion of a particle in a random potential
Proposition 3.7 Let T be a tiling of a polygon P . A vertex v in the interior of P is a local extremum of the height function hT if and only if it is the center of a hexagon tiled with three lozenges.
An algorithm to generate exactly once every tiling with lozenges of a domain
Suppose that the ﬂuctuating ﬁelds locally satisfy the extremum condition of Eq. (48).
Correlation function of random heteropolymer solutions
By increasing |α|, we reach the situation (b) where a third extremum 3 merges with them.
Critical and Tricritical Hard Objects on Bicolorable Random Lattices: Exact Solutions
We can proceed in the standard way, as in the theory of the random ﬁelds, by looking for extremum V tra jectory, and then substituting the result into the functional integral (2.24) that will be now the integral only over x,y.
Space-Time Evolution of the Oscillator, Rapidly moving in a random media
In a corresponding equilibrium problem, the stationarity condition is also an extremum condition and provides a bound on the free energy.
Embedding a Native State into a Random Heteropolymer Model: The Dynamic Approach
This means that any interpretation of Eq. (36) as an extremum condition for Fdyn has to be given up.
Embedding a Native State into a Random Heteropolymer Model: The Dynamic Approach
It is found that a change of stability in the series of equilibria occurs in the microcanonical ensemble when the energy is extremum and in the canonical ensemble when the temperature is extremum.
Generalized thermodynamics and Fokker-Planck equations. Applications to stellar dynamics, two-dimensional turbulence and Jupiter's great red spot
The reasonable choice for this point is (see, e. g., Ref. ) the approximate position of the last extremum of the wave function zλ (x).
A generalized Numerov method for linear second-order differential equations involving a first derivative term
The value φ0 = 0 is an extremum point for the potential V ′ (φ0 ) = 0, but the second derivative is negative V ′′ (φ0 ) < 0, what corresponds to the presence of the tachyon in the vicinity of this point.
String Theory or Field Theory?
Kerr–de Sitter solution) as a true extremum of two different action principles which correspond to two different thermodynamical problems.
de Sitter Black Holes with Either of the Two Horizons as a Boundary
If the horizon is treated as dynamical, one does not hold ﬁxed anything at ρ = 0, and therefore the action should have an extremum with respect to variations of g 1/2 and πφ ρ .
de Sitter Black Holes with Either of the Two Horizons as a Boundary
The curve α = −β ln β obtained from Eq. (4) has an extremum at α = β = e−1 ∼= 0.36788 thereby implying the bounds: α, β < e−1 .