# coefficient

## Definitions

• WordNet 3.6
• n coefficient a constant number that serves as a measure of some property or characteristic
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Webster's Revised Unabridged Dictionary
• Coefficient (Math) A number or letter put before a letter or quantity, known or unknown, to show how many times the latter is to be taken; as, 6x; bx; here 6 and b are coefficients of x.
• Coefficient (Physics) A number, commonly used in computation as a factor, expressing the amount of some change or effect under certain fixed conditions as to temperature, length, volume, etc.; as, the coefficient of expansion; the coefficient of friction.
• Coefficient That which unites in action with something else to produce the same effect.
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Century Dictionary and Cyclopedia
• coefficient Coöperating; acting in union to the same end.
• n coefficient That which unites in action with something else to produce a given effect; that which unites its action with the action of another.
• n coefficient In algebra, a number or other constant placed before and multiplying an unknown quantity or variable or an expression containing such quantities; also, a number multiplying a constant or known quantity expressed algebraically—that is, by the letters a, b, etc. Thus, 3 is the coefficient of x, 2ab the coefficient of y, and 2 the coefficient of ab. in the polynomial 3x + 2aby.
• n coefficient In physical, a numerical quantity, constant for a given substance, and used to measure some one of its properties: as, the coefficient of expansion of any substance is the amount which the unit of length (surface or volume) expands in passing from 0° to 1° C.
• n coefficient Same as coefficient of variation.
• n coefficient Superior lethal coefficient, that medium concentration of a disinfectant which will kill bacteria spores in water at a temperature of 20–25° C. in the shortest time.
• n coefficient The coefficient of change in electrical resistance of a substance with variation of temperature. The temperature coefficient is given by the equation: in which r is the resistance of the substance at the temperature to, and ro, its resistance at 0°.
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Chambers's Twentieth Century Dictionary
• n Coefficient kō-ef-fish′ent that which acts together with another thing:
• n Coefficient kō-ef-fish′ent (math.) the numerical or literal factor prefixed to an unknown quantity in any algebraic term
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## Etymology

Webster's Revised Unabridged Dictionary
Cf. F. coefficient,

## Usage

### In literature:

The quotient = phenol coefficient at 2-1/2 minutes.
"The Elements of Bacteriological Technique" by John William Henry Eyre
Durability is determined also by the different coefficients of expansion of the constituent minerals of the rock.
"The Economic Aspect of Geology" by C. K. Leith
The value of such a fraction is the positive root of a quadratic equation whose coefficients are real and of which one root is negative.
"Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 2" by Various
Suppose the coefficient of association be n, i.e.
"Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 1" by Various
Why, thass the hence an' the whence that my constituents an' coefficients calls me School-house Leggett.
"John March, Southerner" by George W. Cable
Coefficient of variability, 3.8 (2.39 = 3.8+ % of 62.5 inches).
"The Social Direction of Evolution" by William E. Kellicott
Invar pendulum rods are often made of steel with coefficients of expansion of about .0000012 linear per 1 deg.
"Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 5" by Various
She regarded him as one of the coefficients of the age.
"Eden" by Edgar Saltus
Mean Temperature Coefficients taken at 15 deg.
"Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 8" by Various
Expressed in percentages, these are called coefficients of digestibility.
"Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4" by Various
Its coefficient of expansion for each degree between 0 deg.
"Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 2" by Various
The simplest case which thus presents itself is that in which there are two variables while the coefficients are rational integers.
"Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6" by Various
The coefficient of friction will be thereby reduced; slipping will ensue, and the transmission may cease either in whole or in part.
"The Energy System of Matter" by James Weir
The correlation coefficient between rainfall and the percentage of adult females with a vaginal orifice was 0.53.
"A Population Study of the Prairie Vole (Microtus ochrogaster) in Northeastern Kansas" by Edwin P. Martin
The fundamental artifice of the calculus is the artifice of forming differentials without first forming differential coefficients.
"Encyclopaedia Britannica, 11th Edition, Volume 14, Slice 5" by Various
What is the coefficient of friction?
"Physics" by Willis Eugene Tower
This result points to a temperature coefficient of about 1.5 to 10 deg.
"Scurvy Past and Present" by Alfred Fabian Hess
The coefficient of velocity is determined directly by measuring the parabolic path of a horizontal jet.
"Encyclopaedia Britannica, 11th Edition, Volume 14, Slice 1" by Various
This might be termed the Recognition, the other the Perception, coefficient.
"Studies in Logical Theory" by John Dewey
Pitch coefficient (or ratio).
"The Theory and Practice of Model Aeroplaning" by V. E. Johnson
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### In news:

Hence, these coefficients are a measure of differential solubility of the compound between these two solvents.
Can you help me with determining the flow coefficient .
Would the CV (flow coefficient ) of a shut-off/isolation globe valve be the same as that of a globe control valve with linear flow characteristic.
How do I calculate the vessel side heat transfer coefficient .
Low Coefficient of Friction Silicone Coating for Healthcare Applications.
John Ashcroft's Coefficient of Unity.
Although one can measure static friction coefficients, most of the friction studies on skin have, for simplicity, dealt with dynamic friction coefficients wherein the two surfaces move at a relative constant velocity.
This overview references the dynamic coefficient of friction, unless otherwise noted.
A positive temperature coefficient resistor (PTCR) is a resistor that varies its resistance with its temperature.
Singpurwalla, R Soyer, "Assessing (Software) Reliability Growth Using a Random Coefficient Autoregressive Process and Its Ramifications," IEEE Transactions on Software Engineering, vol 11, no 12, pp 1456-1464, December, 1985.
In general, polymers with high power-law coefficients should be processed at lower screw speeds and on shorter L/D screws than those with low coefficients .
Polymers that have lower power-law coefficients will see a greater change in viscosity with changing shear.
The Birko entryway foamer has a high flow coefficient value that provides more air to create thicker, longer-lasting foam with reduced amounts of chemicals.
The use of interpolation can save coefficients and required signal-processing power when implementing Nyquist FIR filters and multichannel filter banks.
Jacket -side film coefficients can be determined a number of ways depending on whether condensation, boiling or single phase flow exists.
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### In science:

The coefficient (cid:80) is interaction intensity of the hyper-strong field.
Octonionic Hyper-strong and Hyper-weak Fields and Their Quantum Equations
The coefficient b = (cid:33) H-S is the Plank-like constant.
Octonionic Hyper-strong and Hyper-weak Fields and Their Quantum Equations
A3) (21) where, X = X H-W(cid:3)is the physical quantity in octonionic space H-W; khw is the coefficient.
Octonionic Hyper-strong and Hyper-weak Fields and Their Quantum Equations
The coefficient (cid:80) is interaction intensity of the hyper-weak field.
Octonionic Hyper-strong and Hyper-weak Fields and Their Quantum Equations
The coefficient b = (cid:33) H-W is the Plank-like constant.
Octonionic Hyper-strong and Hyper-weak Fields and Their Quantum Equations
E-G are coefficients. K = KB EGSW is the coefficient. B S-W is the field strength in strong-weak field, and B E-G is the field strength in electromagnetic-gravitational field. The mark (*) denotes sedenion conjugate. The coefficient (cid:80) is interaction intensity of the sedenion field EG-SW.
Compounding Fields and Their Quantum Equations in the Sedenion Space
H-W are coefficients in the trigintaduonion space. The coefficient (cid:80) is interaction intensity of trigintaduonion field T-B.
Compounding Fields and Their Quantum Equations in the Trigintaduonion Space
Hamblen, Distribution of Roots of Quadratic Equations with Random Coefficients, Ann.
Distributions of Roots of Reduced Cubic Equations with Random Coefficients
The nature of the coefficients is determined by the singularities of F(z). The singularities nearest the origin will dominate the behavior for large n. If the dominant singularity is on the positive real axis, the coefficients will eventually all have the same sign.
Conjectures on exact solution of three - dimensional (3D) simple orthorhombic Ising lattices
Conversely, if the dominant singularity is on the negative real axis, the coefficients will eventually alternate the sign.
Conjectures on exact solution of three - dimensional (3D) simple orthorhombic Ising lattices
It is a fact that all systematic methods for the determination of series coefficients are at some level graphical or diagrammatic.
Conjectures on exact solution of three - dimensional (3D) simple orthorhombic Ising lattices
With each coefficient is associated a set of graphs of some given topological type. To each graph corresponds a numerical contribution according to a well-defined rule. To calculate the required coefficient, one simply sums all contributions.
Conjectures on exact solution of three - dimensional (3D) simple orthorhombic Ising lattices
All of the coefficients for the terms up to b10, except for b0, embodied in wy and wz are negative. Ansatz 1 is introduced to extend this tendency to all the terms inside the square root.
Conjectures on exact solution of three - dimensional (3D) simple orthorhombic Ising lattices
Table 2 The low temperature series coefficients mn, the ratio mn+1/mn, the difference Δ(n+1,n) = (mn+2/mn+1 - mn+1/mn) between the neighboring ratios mn+1/mn and the (mn)-1/n for magnetization of the three – dimensional Ising model on a simple cubic lattice.
Conjectures on exact solution of three - dimensional (3D) simple orthorhombic Ising lattices
D.S. Gaunt and A.J. Guttmann, Asymptotic Analysis of Coefficients, in Phase Transitions and Critical Phenomena, C.
Conjectures on exact solution of three - dimensional (3D) simple orthorhombic Ising lattices
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