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Mathematical coefficient used in mass transfer calculations
In mass transfer, the sieving coefficient is a measure of equilibration between the concentrations of two mass transfer streams. It is defined as the
Sieving_coefficient
Rate constant in engineering
and thus use units of pressure. Mass transfer Separation process Sieving coefficient Seader, J. D.; Henley, Ernest J. (23 January 1998). Separation Process
Mass_transfer_coefficient
Factorization algorithm
small primes and on the average value that the polynomial takes over the sieving area. The best reported results were achieved by the method of Thorsten
General_number_field_sieve
Number of subsets of a given size
certain symmetries (an instance of the cyclic sieving phenomenon). The definition of the binomial coefficient can be generalized to infinite cardinals by
Binomial_coefficient
Topics referred to by the same term
Sieving coefficient, used in transport phenomena, in chemistry Sieve tube element, an elongated cell in the phloem tissue of flowering plants Sieve,
Sieve_(disambiguation)
q-binomial coefficient above, then ( X n , k , C n , f n , k ( q ) ) {\displaystyle (X_{n,k},C_{n},f_{n,k}(q))} exhibits the cyclic sieving phenomenon
Cyclic_sieving
Transport of substances between two fractions with the help of permeable membranes
membrane area for a targeted separation at given conditions. The solute sieving coefficient is defined by the equation: S = C p C f {\displaystyle S={\frac {C_{p}}{C_{f}}}}
Membrane_technology
Pharmacokinetic measurement
Creatinine clearance Kt/V Pharmacokinetics Renal clearance ratio Sieving coefficient Standardized Kt/V Table of medication secreted in kidney Urea reduction
Clearance_(pharmacology)
Integer factorization algorithm
smaller and more tractable. The quadratic sieve searches for smooth numbers using a technique called sieving, discussed later, from which the algorithm
Quadratic_sieve
Mathematical description of fluid movements
there is a continuous flow of water with small solutes. The molecular sieving properties of the capillary wall reside in a recently discovered endocapillary
Starling_equation
Protein used as a biomarker of kidney function
rate. The glomerular sieving coefficients for 10–30 kDa plasma proteins in the human kidney are relatively high with coefficients between 0.9 and 0.07
Cystatin_C
Classification of grainy soils based on the sizes of their grains
particular sieve. This means that if 40% of the sample is retained on the No. 200 sieve then there is 60% passing the No. 200 sieve. The coefficient of uniformity
Soil_gradation
Family of polynomials
binomial coefficients (also called Gaussian coefficients, Gaussian polynomials, or q-binomial coefficients) are q-analogs of the binomial coefficients. The
Gaussian_binomial_coefficient
Special-purpose integer factorization algorithm
pairs are found through a sieving process, analogous to the Sieve of Eratosthenes; this motivates the name "Number Field Sieve". For each such pair, we
Special_number_field_sieve
Math method
The large sieve is a method (or family of methods and related ideas) in analytic number theory. It is a type of sieve where up to half of all residue
Large_sieve
Any of a range of techniques used to break an azeotrope in distillation
Added in the liquid phase, the new component can alter the activity coefficient of various compounds in different ways thus altering a mixture's relative
Azeotropic_distillation
Property of a soil
offering another flow chart. Sieving is a long-established but still widely used soil analysis technique. In sieving, a known weight of sample material
Soil_texture
Function representing relative sizes of particles in a system
8-inch-diameter (200 mm) sieve trays. Two common uses in the powder industry are wet-sieving of milled limestone and dry-sieving of milled coal. Disadvantages:
Particle-size_distribution
Diameter of a sphere of the same volume as an irregularly-shaped subject
diffusion coefficient D as the particle, in the same fluid and under the same conditions. The relationship between the diffusion coefficient D and the
Equivalent_spherical_diameter
Type of mathematical generalization
define the q-binomial coefficients, also known as Gaussian coefficients, Gaussian polynomials, or Gaussian binomial coefficients: ( n k ) q = [ n ] q
Q-analog
Amount of water an aquifer releases while staying saturated
Interferometric synthetic-aperture radar. Storativity or the storage coefficient is the volume of water released from storage per unit decline in hydraulic
Specific_storage
Fluid found in the cavities of synovial joints
metabolic wastes from the chondrocytes in the surrounding cartilage molecular sieving - pressure within the joint forces hyaluronan in the fluid against the
Synovial_fluid
Polynomial with reversed root positions
{\displaystyle p(x)=a_{0}+a_{1}x+a_{2}x^{2}+\cdots +a_{n}x^{n},} with coefficients from an arbitrary field, its reciprocal polynomial or reflected polynomial
Reciprocal_polynomial
Device that removes nitrogen from air
affected by the penetrant size. Larger gas molecules have a lower diffusion coefficient. The membrane gas separation equipment typically pumps gas into the membrane
Oxygen_concentrator
Fractal composed of triangles
The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, is a fractal with the overall shape of an equilateral triangle, subdivided
Sierpiński_triangle
Mathematical structure
conjectures proposed that certain properties of equations with integral coefficients should be understood as geometric properties of the algebraic variety
Grothendieck_topology
Mathematical sequences in combinatorics
between them. A common property of all three kinds is that they describe coefficients relating three different sequences of polynomials that frequently arise
Stirling_number
Dutch mathematician (born 1956)
first polynomial time algorithm to factor polynomials with rational coefficients in the seminal paper that introduced the LLL lattice reduction algorithm
Arjen_Lenstra
Method for computing the relation of two integers with their greatest common divisor
addition to the greatest common divisor (gcd) of integers a and b, also the coefficients of Bézout's identity, which are integers x and y such that a x + b y
Extended_Euclidean_algorithm
and low aqueous solubility characterized by the compound's Henry's law coefficient, which is the ratio of the concentration in air that is in equilibrium
Air_stripping
Laboratory technique
elimination) of particle size analysis equipment has been developed. Sieving Sieve analysis Laser diffraction analysis Sedimentation Elutriation Microscope
Particle_size_analysis
Technology for splitting specific gases out of mixtures
in a material with reasonably large pores. The second (c), molecular sieving, is the case where the pores of the membrane are too small to let one component
Membrane_gas_separation
Counting technique in combinatorics
R_{B'}(x)} with coefficients r k ( B ′ ) . {\displaystyle r_{k}(B').} It is sometimes convenient to be able to calculate the highest coefficient of a rook polynomial
Inclusion–exclusion_principle
Measurement in molecular physics
particles, respectively. We define an intensive quantity, the scattering coefficient α, as the product of the gas number density and the scattering cross
Kinetic_diameter
Computer system for solving algebra problems
integer matrices which uses floating point numbers for the Gram–Schmidt coefficients, but such that the result is rigorously proven to be LLL-reduced. Commutative
Magma (computer algebra system)
Magma_(computer_algebra_system)
Statistical method for fitting a line
Kendall because of its relation to the Kendall tau rank correlation coefficient. Theil–Sen regression has several advantages over Ordinary least squares
Theil–Sen_estimator
Ratio of inertial to viscous forces acting on a liquid
transport theorem – 3D generalization of the Leibniz integral rule Drag coefficient – Dimensionless parameter to quantify fluid resistance Deposition (geology) –
Reynolds_number
Topics referred to by the same term
bands or lines and transmits others, while maintaining a nearly zero coefficient of absorption for all wavelengths of interest Dichroic filter, a very
Filter
Type of temper used in clay
(3,240 °F). Its water absorption is maximum 7%. Its thermal expansion coefficient is 5.2 mm/m[clarification needed] and thermal conductivity is 0.8 W/(m·K)
Grog_(clay)
Formal power series
function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions are often expressed in
Generating_function
About simultaneous modular congruences
computers. The search of the solution may be made dramatically faster by sieving. For this method, we suppose, without loss of generality, that 0 ≤ a i
Chinese_remainder_theorem
Zeolite used as a catalyst in oil refining
pores of the ZSM-5 zeolite, para-xylene has a much higher diffusion coefficient than meta-xylene. When the isomerization reaction is allowed to occur
ZSM-5
Analytic function in mathematics
}{\biggl (}1-{\frac {s}{2}}{\biggl )}_{k}{\frac {A_{k}}{k!}}} where real coefficients A k {\displaystyle A_{k}} are given by: A k = ∑ j = 0 k ( − 1 ) j ( k
Riemann_zeta_function
Technology for measuring geometrical dimensions of particle
knowledge of the complex refractive index (including the absorption coefficient) of the particle’s material. The lower theoretical detection limit of
Laser_diffraction_analysis
Model of chemical adsorption
of adsorption equilibrium data of various gases and vapors on molecular-sieving carbon". Journal of Chemical Engineering of Japan. 7 (3): 158–162. doi:10
Polanyi_potential_theory
Used to count, measure, and label
finding the areas of figures; red rods were used to denote positive coefficients, black for negative. The first reference in a Western work was in the
Number
Post-quantum cryptographic algorithm
transmit information of 2 coefficients modulo p2 defining an elliptic curve and 2 elliptic curve points. Each elliptic curve coefficient requires log2 p2 bits
Supersingular isogeny key exchange
Supersingular_isogeny_key_exchange
sciences) Coefficient of coherence – redirects to Coherence (statistics) Coefficient of determination Coefficient of dispersion Coefficient of variation
List_of_statistics_articles
Product of numbers from 1 to n
sequences are closely related to the factorials, including the binomial coefficients, double factorials, falling factorials, primorials, and subfactorials
Factorial
(Mathematical) decomposition into a product
coefficients, which is primitive (that is, the greatest common divisor of the coefficients is 1), and has a positive leading coefficient (coefficient
Factorization
Mathematical procedure
between them, or will determine that no integer relation exists with coefficients whose magnitudes are less than a certain upper bound. For the case n
Integer_relation_algorithm
Prime number with a certain relationship to an elliptic curve
OEIS). These are exactly the primes p {\displaystyle p} for which the coefficient of q p {\displaystyle q^{p}} in η ( τ ) 2 η ( 11 τ ) 2 {\displaystyle
Supersingular prime (algebraic number theory)
Supersingular_prime_(algebraic_number_theory)
American biochemist (1939–2011)
many important characteristics of water-soluble proteins; diffusion coefficient, molecular size, thermodynamics of protein-protein interactions including
Gary_Ackers
interference of 00l peaks. Nonclay minerals can usually be separated by sieving samples at a small enough mesh. Samples should be lightly crushed but not
Clay mineral X-ray diffraction
Clay_mineral_X-ray_diffraction
Number divisible only by 1 and itself
called the sieve of Eratosthenes. The animation shows an optimized variant of this method. Another more asymptotically efficient sieving method for the
Prime_number
Composite material used for paving
grinding the shingles and sieving the grinds to remove oversized particles. The grinds may also be screened with a magnetic sieve to remove nails and other
Asphalt_concrete
Area of combinatorics that deals with the number of ways certain patterns can be formed
number of combinatorial objects of size n is therefore given by the coefficient of x n {\displaystyle x^{n}} . Some common operation on families of combinatorial
Enumerative_combinatorics
Mathematical puzzle
problem Diophantine analysis is the study of equations with rational coefficients requiring integer solutions. In Diophantine problems, there are fewer
The_monkey_and_the_coconuts
Fiber obtained from cashmere goats and other types of goat
that exceed 30 microns. the average fiber diameter may be subject to a coefficient of variation around the mean that shall not exceed 24 percent. Raw –
Cashmere_wool
Recursive integer sequence
Catalan number can be expressed directly in terms of the central binomial coefficients by C n = 1 n + 1 ( 2 n n ) = ( 2 n ) ! ( n + 1 ) ! n ! for n ≥ 0. {\displaystyle
Catalan_number
Algorithm checking for prime numbers
binomial theorem together with the following property of the binomial coefficient: ( n k ) ≡ 0 ( mod n ) {\displaystyle {n \choose k}\equiv 0{\pmod {n}}}
AKS_primality_test
Optimization problem in computer science
enumeration and random sampling reduction, while the latter includes lattice sieving, computing the Voronoi cell of the lattice, and discrete Gaussian sampling
Lattice_problem
Average uncertainty in variable's states
October 2023 at the Wayback Machine "Open question: The parity problem in sieve theory". 5 June 2007. Archived from the original on 7 August 2023. Aoki
Entropy_(information_theory)
Figurate number
{\displaystyle \textstyle {n+1 \choose 2}} is notation for a binomial coefficient. It represents the number of distinct pairs that can be selected from
Triangular_number
Culmination of a multiple pregnancy where two or more offspring are born
about decuplet brothers with superpowers Three Identical Strangers "Coefficient of relationship - ISOGG Wiki". isogg.org. Retrieved 2021-04-03. "Glossary:
Multiple_birth
Algorithmic runtime requirements for common math procedures
consider operations over polynomials and n denotes their degree; for the coefficients we use a unit-cost model, ignoring the number of bits in a number. In
Computational complexity of mathematical operations
Computational_complexity_of_mathematical_operations
Computational problem possibly useful for post-quantum cryptography
doi:10.1137/S0097539700373039. ISSN 0097-5397. Schneider, Michael (2011). "Sieving for Shortest Vectors in Ideal Lattices". Cryptology ePrint Archive. "cr
Ring_learning_with_errors
Concept in combinatorics
in the OEIS). If n! denotes the factorial, and we denote the binomial coefficients by ( n k ) = n ! k ! ( n − k ) ! , {\displaystyle {n \choose k}={\frac
Cake_number
Branch of soil physics and applied mechanics that describes the behavior of soils
size range. Fine particles tend to stick to each other, and hence the sieving process is not an effective method. If there are a lot of fines (silt and
Soil_mechanics
Set of laboratory techniques for separation of mixtures
the stationary phases. Subtle differences in a compound's partition coefficient result in differential retention on the stationary phase and thus affect
Chromatography
Prosthetic device
Properties of Polysulfone Membranes Containing the Mesoporous Molecular Sieve MCM-41". Chemistry of Materials. 13 (7): 2366–2373. doi:10.1021/cm000931+
Artificial_lung
Polymer harvested from certain trees
preparation of dry rubber or transferred into air-tight containers with sieving for ammoniation. Ammoniation, invented by patent lawyer and vice-president
Natural_rubber
industrial use — Determination of particle size distribution by mechanical sieving [Withdrawn without replacement] ISO 3119:1976 Boric acid, boric oxide and
List of ISO standards 3000–4999
List_of_ISO_standards_3000–4999
Image reconstruction algorithms
used. A cost function that is to be minimized to estimate the image coefficient vector. Often this cost function includes some form of regularization
Iterative_reconstruction
Alternate way to define a function in APL
⍝ determinant of a square complex matrix ⍺←1 ⍝ product of co-factor coefficients so far 0=≢⍵:⍺ ⍝ result for 0-by-0 (i j)←(⍴⍵)⊤⊃⍒|,⍵ ⍝ row and column index
Direct_function
Canadian mathematician
Michael; Ford, Kevin; Konyagin, Sergei; Pomerance, Carl; Yu, Gang (2006). "Sieving by large integers and covering systems of congruences". J. Amer. Math.
Julian_Sahasrabudhe
Set of polynomials where any two are orthogonal to each other
matrices have either coefficients that are matrices or the indeterminate is a matrix. There are two popular examples: either the coefficients { a i } {\displaystyle
Orthogonal_polynomials
Muirhead's inequality Newton's inequalities Stein–Strömberg theorem Binomial coefficient bounds Factorial bounds XYZ inequality Fisher's inequality Ingleton's
List_of_inequalities
Equipment which allows the user to breathe at hypoxic altitudes
affected by the penetrant size. Larger gas molecules have a lower diffusion coefficient. The membrane gas separation equipment typically pumps gas into the membrane
High-altitude breathing apparatus
High-altitude_breathing_apparatus
Prime number of the form 2^n – 1
form f(2n), where f(x) is a low-degree polynomial with small integer coefficients. An example is 264 − 232 + 1, in this case, n = 32, and f(x) = x2 − x
Mersenne_prime
Algorithm for public-key cryptography
5 gigabytes of disk storage was required and about 2.5 gigabytes of RAM for the sieving process. Rivest, Shamir, and Adleman noted that Miller has shown that –
RSA_cryptosystem
Finite sum formed using the exponential function
summed over a finite sequence of real numbers xn. If we allow some real coefficients an, to get the form ∑ n a n e ( x n ) {\displaystyle \sum _{n}a_{n}e(x_{n})}
Exponential_sum
Species of marine plant
the leaf surface area compared to that of the meadow as a percentage. Coefficient "A" is percentage of leaves that have lost their apices. Lepidochronological
Posidonia_oceanica
Algorithm in computational number theory
polynomial-time algorithms for factorizing polynomials with rational coefficients, for finding simultaneous rational approximations to real numbers, and
Lenstra–Lenstra–Lovász lattice basis reduction algorithm
Lenstra–Lenstra–Lovász_lattice_basis_reduction_algorithm
Multiplication algorithm
the same coefficients due to linearity under the Fourier transform, and because these polynomials only consist of one unique term per coefficient: f ^ (
Schönhage–Strassen_algorithm
Method of separating chemical or biological samples
molecules) are also common. For example, in capillary sequencing of DNA, the sieving polymer (typically polydimethylacrylamide) suppresses electroosmotic flow
Capillary_electrophoresis
Tool
Gyratory equipment, used in mechanical screening and sieving is based on a circular motion of the machine. Unlike other methods, gyratory screen operates
Gyratory_equipment
Algorithm for computing the greatest common divisor
algorithm, fits in the first kind of extension, as it provides the Bézout coefficients in addition to the GCD: integers a {\displaystyle a} and b {\displaystyle
Binary_GCD_algorithm
Inherent difficulty of computational problems
inexact: a polynomial-time solution with large degree or large leading coefficient grows quickly, and may be impractical for practical size problems; conversely
Computational complexity theory
Computational_complexity_theory
Number that remains the same when its digits are reversed
three-digit groups, but also the values of the groups are the binomial coefficients. For instance, ( 1001 ) 6 = 1 , 006 , 015 , 020 , 015 , 006 , 001 {\displaystyle
Palindromic_number
Algorithm for multiplying large numbers
219876\\n_{0}&{}=54321098\end{aligned}}} We then use these digits as coefficients in degree-(k − 1) polynomials p and q, with the property that p(B) = m
Toom–Cook_multiplication
Overview of and topical guide to combinatorics
power series Cyclic sieving Schrödinger method Exponential generating function Stanley's reciprocity theorem Binomial coefficients and their properties
Outline_of_combinatorics
Branch of pure mathematics
{\displaystyle ax+by=1} . A Diophantine equation has several unknowns and integer coefficients. Another kind of Diophantine equation is described in the Pythagorean
Number_theory
Numbers obtained by adding the two previous ones
2 preceding numbers. The Pell numbers have Pn = 2Pn−1 + Pn−2. If the coefficient of the preceding value is assigned a variable value x, the result is
Fibonacci_sequence
Number theory conjecture
nonconstant irreducible polynomials over the integers with positive leading coefficients, one of the following conditions holds: There are infinitely many positive
Schinzel's_hypothesis_H
Algorithm for computing greatest common divisors
Finally, the coefficients of the polynomials need not be drawn from integers, real numbers or even the complex numbers. For example, the coefficients may be
Euclidean_algorithm
Two raised to an integer power
number written as n 1s). Each of these is in turn equal to the binomial coefficient indexed by n and the number of 1s being considered (for example, there
Power_of_two
Algorithm in number theory
in B. Remove c from B and z c {\displaystyle z_{c}} from Z. Compute coefficients f b {\displaystyle f_{b}} such that: c ≡ ∑ b ∈ B f b b ( mod 2 ) {\displaystyle
Dixon's_factorization_method
Change in sea level due to gravity
Tidal prediction summing constituent parts. The tidal coefficients are defined on the page theory of tides.
Tide
for any given Diophantine equation (a polynomial equation with integer coefficients and a finite number of unknowns) can decide whether the equation has
List of inventions and discoveries by women
List_of_inventions_and_discoveries_by_women
SIEVING COEFFICIENT
SIEVING COEFFICIENT
Girl/Female
Tamil
Singing
Girl/Female
Muslim
Seeing, Viewing, Looking, Dream, Vision
Girl/Female
Indian
Seeing, Viewing, Looking, Dream, Vision
Boy/Male
Gaelic
Mountain.
Girl/Female
Tamil
Gayanthika | காயஂதிகா
Singing
Gayanthika | காயஂதிகா
Boy/Male
Celtic American Gaelic English Scottish
White.
Girl/Female
Indian
Singing
Boy/Male
Arabic, Muslim, Sindhi
Singing
Boy/Male
Muslim
Sibling
Boy/Male
Australian, Spanish
Referring to the Mythological Greek God of Trees; Similar to Sylvanus
Boy/Male
Christian & English(British/American/Australian)
Handsome
Boy/Male
Arabic, Muslim
Sibling
Girl/Female
Indian
Seeing, Viewing, Looking, Dream, Vision
Boy/Male
American, Australian, British, Celtic, Chinese, Christian, Danish, English, French, German, Irish, Scottish
Handsome and Fair; Green Water / River; Boar Friend; From the City
Boy/Male
Arabic, Muslim
Sibling
Girl/Female
Arabic, Australian, Muslim
Seeing; Looking; Viewing; Vision; Sight
Boy/Male
Spanish
referring to the mythological Greek god of trees.
Girl/Female
Muslim
Seeing, Viewing, Looking, Dream, Vision
Male
Dutch
, beloved friend.
Boy/Male
Scottish
Friend. Both a surname and place name.
SIEVING COEFFICIENT
SIEVING COEFFICIENT
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi, Tamil
Happiness; The Pure
Male
Egyptian
, the name of a palace chief.
Girl/Female
Tamil
Mrunmayi | மரநà¯à®®à®¯à¯€
Goddess Sita
Girl/Female
Tamil
Fragrant
Boy/Male
Muslim/Islamic
Spotted Speckled
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Star
Male
German
German form of Latin Franciscus, FRANZ means "French."
Surname or Lastname
English
English : variant of Hedge.
Girl/Female
Hindu
Equality, Bordering
Girl/Female
Hindu, Indian
Victory; Happiness
SIEVING COEFFICIENT
SIEVING COEFFICIENT
SIEVING COEFFICIENT
SIEVING COEFFICIENT
SIEVING COEFFICIENT
a.
Uttering sighs; grieving; lamenting.
a.
That dives or is used or diving.
n.
The act of laying on a shelf, or on the shelf; putting off or aside; as, the shelving of a claim.
n.
Manner of life; as, riotous living; penurious living; earnest living.
p. pr. & vb. n.
of Shove
n.
The act or time of sitting, as to a portrait painter, photographer, etc.
n.
The act or habit of seeking one's own interest or happiness; selfishness.
n.
The act of fitting up shelves; as, the job of shelving a closet.
p. pr. & vb. n.
of View
a.
Having a semblance, whether with or without reality; apparent; specious; befitting; as, seeming friendship; seeming truth.
n.
Power of continuing life; the act of living, or living comfortably.
a.
Like a living being; resembling life; giving an accurate representation; as, a lifelike portrait.
a.
Sloping gradually; inclining; as, a shelving shore.
a.
Seeking one's own interest or happiness; selfish.
a.
Inclining to one side; directed toward one side; sloping; inclined; as, sideling ground.
p. pr. & vb. n.
of Salve
n.
The actual presence or meeting of any body of men in their seats, clothed with authority to transact business; a session; as, a sitting of the judges of the King's Bench, or of a commission.
a.
Serving to inspire fear, esp. a dread of seeing ghosts; wild; weird; as, eerie stories.
a.
Giving life or spirit; having power to give life; inspiriting; invigorating.
p. pr. & vb. n.
of Thieve