# modulus

## Definitions

• WordNet 3.6
• n modulus (physics) a coefficient that expresses how much of a specified property is possessed by a specified substance
• n modulus the absolute value of a complex number
• n modulus an integer that can be divided without remainder into the difference between two other integers "2 is a modulus of 5 and 9"
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Webster's Revised Unabridged Dictionary
• n Modulus (Math., Mech., & Physics) A quantity or coefficient, or constant, which expresses the measure of some specified force, property, or quality, as of elasticity, strength, efficiency, etc.; a parameter.
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Century Dictionary and Cyclopedia
• n modulus In mathematics, a real positive number that serves as measure or parameter of a function or effect. Represented by M. or μ.
• n modulus In physics, the measure of an effect under conditions whose measure is unity. Thus, a physical modulus is not a number, but a physical quantity.
• n modulus [capitalized] In conchology, a genus of gastropods, referred to the Littorinidæ or periwinkles, or made type of the family Modulidæ. The shell is depressed and trochiform, with a deeply cut columellar tooth and many-whorled operculum.
• n modulus then the modulus of transformation is
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Chambers's Twentieth Century Dictionary
• Modulus (math.) a constant multiplier in a function of a variable, by which the function is adapted to a particular base:—pl. Moduli (mod′ū-lī)
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## Etymology

Webster's Revised Unabridged Dictionary
L., a small measure. See Module (n.)
Chambers's Twentieth Century Dictionary
L. modulāri, -ātusmodulus, dim. of modus, a measure.

## Usage

### In literature:

A large modulus indicates a stiff material.
"The Mechanical Properties of Wood" by Samuel J. Record
J: Modulus of rupture, in pounds per square inch.
"Transactions of the American Society of Civil Engineers, vol. LXX, Dec. 1910" by W. B. Gregory
Modulus of Simple Rigidity at 20 deg.
"On Laboratory Arts" by Richard Threlfall
It is the Modulus of both God and Nature regarding Man.
"The New Avatar and The Destiny of the Soul" by Jirah D. Buck
No Australian timber in the foregoing list has a less modulus than 13,100 lb.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 8" by Various
The modulus of compression and the rigidity are quantities of the same kind as Young's modulus.
"Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2" by Various
The modulus is obtained by dividing the stress by the strain; if this is done with the above example, the ratio will give the bulk modulus.
"The New Gresham Encyclopedia" by Various
In other words, the modulus of exp (z) is exp (x) and the phase is y.
"Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3" by Various
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### In news:

Teleflex Medical OEM, in conjunction with researchers at the University of Connecticut, has developed a tough, high-modulus composite with potential for bone fixation.
Wally-built yacht 'Better Place' sails the Mediterranean with a Hall Spars 67.5 m (221.4 ft) high modulus carbon mast.
Kaija Saariaho's work to be performed at Music on Main's Modulus Festival.
Modulus Video has introduced several new configurations of its MRE2000 receiver MPEG-4 AVC HD and SD series encoder to meet the unique needs of telecommunications operators.
Modulus Video, a provider of MPEG-4 AVC video encoding systems for IPTV, has introduced several new configurations of its MRE2000 series receiver encoder, each designed to meet the needs of telecommunications operators.
Modulus Video has introduced the MRE2000 family, a new class of video receiver/encoder systems that streamlines direct broadcast satellite (DBS) and IPTV headend operations.
At NAB2007 in Las Vegas, Modulus Video will introduce StatmuxIP, a statistical multiplexing system for the ME2000 family of HD/SD MPEG-4 AVC video encoders from Modulus Video.
Modulus Video, Inc, a leading provider of MPEG-4 AVC video compression systems, announced that its ME6000 is the first high definition (HD) MPEG-4 AVC video encoder to be certified for the Microsoft TV IPTV Edition software platform.
Modulus Video, a provider of MPEG-4 AVC video compression systems for television, has opened the doors to its new world headquarters in Sunnyvale, CA.
STP873 High Modulus Fiber Composites in Ground Transportation and High Volume Applications.
HPC provides enhanced mechanical properties in precast concrete structural elements, including higher tensile and compressive strengths, and heightened modulus of elasticity (stiffness).
Full range of products from Direct Fire to extra low modulus.
Figure 6 shows the measurements of probe tack and modulus as a function of the temperature.
Tack reaches a maximum when the modulus drastically decreases and tan ?
Cold-applied, low modulus horizontal joint sealant.
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### In science:

C (cid:18) ρ where Es and ρs are the Young’s modulus and density of the solid skeleton and p = ρ/ρs is the reduced density.
Elastic moduli of model random three-dimensional closed-cell cellular solids
To check the effect of resolution for the ﬁnite element metho d we measured the Young’s modulus (E100 ) of two tetrakaidecahedral models with edges of thickness 4 pixels and 8 pixels, respectively.
Elastic moduli of model random three-dimensional closed-cell cellular solids
Figure 3: The Young’s (◦) modulus of the Voronoi tessellation (◦) and Gaussian random ﬁeld model ( △).
Elastic moduli of model random three-dimensional closed-cell cellular solids
In the absence of cell walls, the edges have a modulus of E /Es ≈ p2 e , and the cell walls should contribute a term which depends linearly on pf .
Elastic moduli of model random three-dimensional closed-cell cellular solids
Indeed F (pf ) is seen to increase nearly linearly with pf indicating that the additional contribution of the mass in the cell walls to the Young’s modulus approximately follows a quadratic law.
Elastic moduli of model random three-dimensional closed-cell cellular solids
Figure 10 shows that the 3-point bound still does not provide a good estimate of the Young’s modulus and computation is necessary.
Elastic moduli of model random three-dimensional closed-cell cellular solids
By the maximum modulus principle we may assume |fi |sup ≤ 1 for all i.
Ramification of local fields with imperfect residue fields
We show that this problem reduces to the study of the modulus of a random product of matrices.
Random walks on hyperbolic groups and their Riemann surfaces
N dimensional momentum space of particles in the ﬁnal state, the delta function represents energy conservation, and |M|2 is the modulus squared of the matrix element for the 2 → N process.
Remarks on the extraction of freeze-out parameters
We can always get a sequence with full period, if m, b and a are properly chosen. 8 The modulus m is usually taken as 2t−1 − 1, where t is the number of bits used to store an integer and hence is machine speciﬁc.
An Introduction to Monte Carlo Simulation of Statistical physics Problem
For this to happen the largest eigenvalue of W must be real, nondegenerate15 and unity; 16 all other eigenvalues must be smaller than unity in modulus; also the eigenvectors of W must form a complete set.
An Introduction to Monte Carlo Simulation of Statistical physics Problem
The modulus m is usually taken as 2t−1 − 1, where t is the number of bits used to store an integer and hence is machine speciﬁc.
Monte Carlo: Basics
Note that the quadratic term in α under the modulus may not have a limit with r ↑ ∞, for general sets Γ, even in the i.i.d. case.
Universal bounds on the selfaveraging of random diffraction measures
Let us ﬁnally treat the last cluster sum under the modulus on the l.h.s. of (2.19) involving two single-bond polymers.
Universal bounds on the selfaveraging of random diffraction measures
Then we derive the distance modulus of each region using the information given above.
Determination of the Distance to M33 Based on the Tip of the Red Giant Branch and the Red Clump
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