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Coefficient of relationship





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  1. Coefficient of relationship

    genetics , Sewall Wright s coefficient of relationship or coefficient of relatedness or relatedness or r is a measure for the level of consanguinity between two given individuals. The coefficient ... within that individual s genealogy. Roughly speaking, the coefficient of relationship approaches .... Coefficient of relationship The coefficient of relationship r sub BC sub between two individuals ... ago, but do not have any common ancestors at four or less generations ago, their coefficient of relationship ... million . Human genealogy The coefficient of relationship is sometimes used to express degrees of kinship in numerical terms in human genealogy . In human genealogy, the value of the coefficient of relationship ... for the coefficient of relationship so calculated is thus a lower bound, with an actual value ... accessdate 17 April 2011 pmc 1461426 pmid 16510792 popgen DEFAULTSORT Coefficient Of Relationship ... a value of 0 for individuals with arbitrarily remote common ancestors. Definition The coefficient of correlation as defined by Wright 1922 is derived from the definition of the coefficient of inbreeding f as defined in Wright 1921 . Inbreeding coefficient The purpose of such a coefficient is to express ... a fully documented genealogy e.g. due to a fixed system of breeding . ref An inbreeding coefficient ... from the system of mating in the given pedigree. Wright 1922 331 ref The coefficient introduced by Wright ... 100 AA u or u 100 aa . The coefficient of inbreeding f is thus designed to run from 0 for an expected ... such a gene. Therefore, the coefficient of inbreeding is a statistical value derived from the individual .... A path coefficient between a ancestor A and an offspring O separated by n generations is given as p ... of inbreeding for A and O, respectively. huh date January 2012 The coefficient of correlation ... applies for their 1024 ancestors of ten generations ago would have a coefficient of r 2 sup 10 ... Lister parents of Pierre Roland and Hyacinthe Gabrielle Varis. ref class wikitable r relationship degree ...   more details



  1. Coefficient

    Hatnote For other uses of this word, see coefficient disambiguation . In mathematics , a coefficient ... to the 0 power , so the coefficient is the term itself it is called the constant term or constant coefficient of this expression . The final term does not have any explicitly written coefficient, but is considered to have coefficient 1, since multiplying by that factor would not change the term ... of expression in all cases one must allow introducing terms with 0 as coefficient. For the largest math i math with math a i ne 0 math if any , math a i math is called the leading coefficient of the polynomial. So for example the leading coefficient of the polynomial math , 4x 5 x 3 2x 2 math is 4 ... binomial coefficient s these particular coefficients are tabulated in Pascal s triangle . Linear algebra In linear algebra , the leading coefficient of a row in a matrix is the first nonzero entry ... & 0 & 0 & 0 end pmatrix . math The leading coefficient of the first row is 1 2 is the leading coefficient of the second row 4 is the leading coefficient of the third row, and the last row does not have a leading coefficient. Though coefficients are frequently viewed as constant mathematics constants ... in the expression math v x 1 e 1 x 2 e 2 dotsb x n e n . math Coefficient is just the fancy name for the numbers multiplied by variables. Examples of physical coefficients coefficient of thermal expansion Coefficient of Thermal Expansion thermodynamics dimensionless Relates the change in temperature to the change in a material s dimensions. Partition Coefficient K sub D sub chemistry The ratio .... Hall Effect Hall coefficient electrical physics Relates a magnetic field applied to an element to the voltage ... from which the conductor is made. Lift coefficient C sub L sub or C sub Z sub Aerodynamics ... the airfoil, and the planform area of the airfoil. Ballistic coefficient BC Aerodynamics units ... of mass, diameter, and drag coefficient. Transmission coefficient physics Transmission Coefficient ...   more details



  1. Relationship

    wiktionary relationship Relationship or relationships may refer to Interpersonal relationship Intimate relationship In mathematics and statistics Binary relation causality Causal relationship Correlation and dependence Direct relationship Inverse relationship In database design Entity relationship model Relational model In media List of As Time Goes By episodes ep5 Relationships , an episode of As Time Goes By Relationship , a song by Lakeside band Lakeside on the album Power In psychology Relationship breakup Relationship counseling Relationship education See also Relation disambiguation disambiguation sr ...   more details



  1. The Relationship

    Infobox musical artist name The Relationship image caption background group or band origin genre Alternative rock , Alternative country years active 2006 &ndash present label None website http www.myspace.com therelationship Myspace Page current members Brian Bell musician Brian Bell br Eric J br Nate Shaw br Jason Hiller The Relationship is an United States American rock music rock band formed in 2006 by Weezer guitarist Brian Bell musician Brian Bell and Nate Shaw of Die Hunns Die Hunns . The band also includes keyboardist Eric J , bassist Jason Hiller and drummer Blair Sinta. In November 2010, the band released their debut album, The Relationship , on Golden State Records. First Album Recording of The Relationship s first album is taking place at Bell s private home studio in the city of Los Angeles on an analog recording analog Multitrack recording 8 track . Sean Lennon mentioned in a recent interview that he will appear with Bell on The Relationship s debut record. ref name Sean cite web last first url http www.weezer.com community news comment.asp?ParentAssetID 1498175&ArtistID 479&Start &FullStory Y&type title 09 24 06 I want people to be afraid of how much they love me work ... According to Brian,his other band The Relationship is back on track with some fresh faces in the mix ... for their 2008 Weezer 2008 album self titled album , although Brian claims the Relationship version will be included on the Relationship album. The Relationship opened for Weezer on three California ... of The Relationship s debut album was finished on October 29, 2008. On November 17, 2010, the cover art for The Relationship s self titled debut was revealed via the band s Facebook page. It was released ... copies for fans at Weezer s Memories Tour shows. Discography The Relationship 2010 References reflist ... relationship Stereokill Interview Brian discusses The Relationship, Feb 19th, 2009 Facebook TheRelationship DEFAULTSORT Relationship, The Category American rock music groups sv The Relationship ...   more details



  1. Extinction coefficient

    Extinction coefficient refers to several different measures of the absorption of light in a medium In chemistry, biochemistry, molecular biology, or microbiology, the mass attenuation coefficient mass extinction coefficient and the molar absorptivity molar extinction coefficient are parameters defining how strongly a substance absorbs light at a given wavelength, per density mass density or per molar concentration , respectively. In physics, the extinction coefficient is the imaginary part of the complex index of refraction , which also relates to light absorption. For the quantitative relationship between the chemistry and physics definitions, see Mathematical descriptions of opacity . disambig ca Coeficient d extinci de Extinktionskoeffizient es Coeficiente de extinci n fr Absorptivit molaire ...   more details



  1. Lift coefficient

    lift and area. The relationship between the lift coefficient and angle of attack is complex and can ...The lift coefficient math c mathrm l , , math math c mathrm a , math or math c mathrm z math is a dimensionless coefficient that relates the Lift force lift generated by a lift ing body, the dynamic pressure ... coefficient is also used to refer to the dynamic lift characteristics of a two dimensional foil ..., Albert E. Theory of Wing Sections . Section 1.2 ref Lift coefficient may be described as the ratio ... coefficient may be used to relate the total Lift force lift generated by a foil equipped craft to the total area of the foil. In this application the lift coefficient is called the aircraft or planform lift coefficient math C mathrm L , . math br Watercraft and automobiles equipped with fixed foils can also be assigned a lift coefficient. The lift coefficient math C mathrm L , math is equal to ref ... , and math A , math is planform area. The lift coefficient is a dimensionless number . The aircraft lift coefficient can be approximated using the Lifting line theory ref Clancy, L. J. Aerodynamics ... lift coefficient Image Lift curve.svg thumb 300px right A typical curve showing section lift coefficient versus angle of attack for a cambered airfoil Lift coefficient may also be used as a characteristic ... lift coefficient math c mathrm l , . math It is common to show, for a particular airfoil section, the relationship between section lift coefficient and angle of attack . ref Abbott, Ira H., and Von Doenhoff, Albert E. Theory of Wing Sections . Appendix IV ref It is also useful to show the relationship between section lift coefficient and drag coefficient . The section lift coefficient is based ... lift coefficient in terms of total lift and total area because they are infinitely large. Rather ... length of the airfoil. The section lift coefficient for a given angle of attack can be approximated ... does not include terms for angle of attack &mdash that is because the mathematical relationship between ...   more details



  1. Correlation coefficient

    Correlation coefficient may refer to Pearson product moment correlation coefficient , also known as r, R, or Pearson s r, a measure of the strength and direction of the linear relationship between two variables that is defined in terms of the sample covariance of the variables divided by their sample standard deviations Correlation and dependence , a broad class of statistical relationships between two or more random variables or observed data values Goodness of fit , which refers to any of several measures that measure how well a statistical model fits observations by summarizing the discrepancy between observed values and the values expected under the model in question Coefficient of determination , a measure of the proportion of variability in a data set that is accounted for by a statistical model often called R sup 2 sup equal in a single variable linear regression to the square of Pearson s product moment correlation coefficient. The strength of the linear relationship between the values Intraclass correlation , a descriptive statistic that can be used when quantitative measurements are made on units that are organized into groups describes how strongly units in the same group resemble each other. Rank correlation , the study of relationships between different rankings on the same set of items Spearman s rank correlation coefficient , which measures how well the relationship between two variables can be described by a monotonic function Kendall tau rank correlation coefficient , which measures the portion of ranks that match between two data sets. Disambig ...   more details



  1. Transfer coefficient

    Transfer coefficient may refer to Transport phenomena Heat transfer coefficient Mass transfer coefficient Electrochemistry Charge transfer coefficient See also Transport coefficient disambiguation disambig it Coefficiente di trasferimento ...   more details



  1. Transport coefficient

    Transport coefficient may refer to Transport phenomena Heat transfer coefficient Heat transport coefficient Mass transfer coefficient Mass transport coefficient See also Transfer coefficient disambiguation disambig it Coefficiente di trasporto ...   more details



  1. Phi coefficient

    the Pearson correlation coefficient reduces to the phi coefficient in the 2 2 case, the interpretation of a Pearson correlation coefficient and phi coefficient must be taken cautiously. The Pearson correlation coefficient ranges from &minus 1 to 1, where 1 indicates perfect agreement or disagreement, and 0 indicates no relationship. The phi coefficient has a maximum value that is determined ...Refimprove date July 2009 Merge Matthews correlation coefficient discuss Talk Matthews correlation coefficient Merger proposal date July 2009 In statistics , the phi coefficient also referred to as the mean square contingency coefficient and denoted by or r sub sub is a measure of association for two binary variables introduced by Karl Pearson ref Cramer, H. 1946. Mathematical Methods of Statistics . Princeton Princeton University Press, p282 second paragraph . ISBN 0691080046 ref . This measure is similar to the Pearson correlation coefficient in its interpretation. In fact, a Pearson correlation coefficient estimated for two binary variables will return the phi coefficient. ref Guilford, J. 1936 . Psychometric Methods. New York McGraw&ndash Hill Book Company, Inc. ref The square of the Phi coefficient is related to the chi squared statistic for a 2 2 contingency table see Pearson s chi squared test ref Everitt B.S. 2002 The Cambridge Dictionary of Statistics , CUP. ISBN 0 521 81099 x ref math phi 2 frac chi 2 n math where n is the total number of observations. Two binary variables ... cell cell counts that sum to  n , the total number of observations. The phi coefficient that describes ... n bullet0 n bullet1 math Phi is related to the point biserial correlation coefficient and Cohen s d and estimates the extent of the relationship between two variables 2 x 2 . ref name Ref Aaron, B ... discussion. See also Contingency table Matthews correlation coefficient Cram r s V statistics ... variables References references DEFAULTSORT Phi Coefficient Statistics Category Categorical data ...   more details



  1. Flow coefficient

    The flow coefficient of a device is a relative measure of its efficiency at allowing fluid flow. It describes the relationship between the pressure drop across an wikt orifice orifice , valve or other assembly and the corresponding volumetric flow rate flow rate . Mathematically the flow coefficient can be expressed as math C v F sqrt dfrac SG Delta P math where br C sub v sub Flow coefficient or flow capacity rating of valve. br F Rate of flow US gallons per minute . br SG Specific gravity of fluid Water 1 . br P Pressure drop across valve psi . In more practical terms, the flow coefficient C sub v sub is the volume in US gallons of water at 60 F that will flow per minute through a valve with a pressure drop of 1 psi across the valve. The use of the flow coefficient offers a standard method of comparing valve capacities and sizing valves for specific applications that is widely accepted by industry. The general definition of the flow coefficient can be expanded into equations modeling the flow of liquids, gases and steam as follows Coefficient of discharge is the ratio of actual flow rate to theoretical discharge. For gas flow in a pneumatic system the C sub v sub for the same assembly can be used with a more complex equation. ref Swagelok C sub v sub Flow Coefficient http www.swagelok.com downloads webcatalogs EN MS 06 84.PDF Swagelok CV Flow Coefficient ref ref http generant.com cvcalc.aspx Generant C sub v sub Calculator ref Absolute pressures psia must be used for gas rather than simply differential pressure. For air flow at room temperature, when the outlet pressure is less than 1 2 the absolute inlet pressure, the flow becomes quite simple although it reaches sonic ... would equal the C sub v sub flow coefficient if the inlet pressure were reduced to 2 psia and the outlet ... en Online Calculation of pressure drop with flow coefficient http www.novanumeric.com samples.php?CalcName Valves Online Cv Calculator For Multiple conditions DEFAULTSORT Flow Coefficient Category ...   more details



  1. Pressure coefficient

    coefficient is a parameter for studying the flow of incompressible fluids such as water, and also the low speed flow of compressible fluids such as air. The relationship between the dimensionless coefficient ... coefficient is being evaluated. This relationship is also valid for the flow of compressible fluids ... and will hence be the top line on the graph. math C l math and math C p math relationship The coefficient of lift for an airfoil with strictly horizontal surfaces can be calculated from the coefficient ...The pressure coefficient is a dimensionless number which describes the relative pressures throughout a flow field in fluid dynamics . The pressure coefficient is used in aerodynamics and hydrodynamics . Every point in a fluid flow field has its own unique pressure coefficient, math C p math . In many situations in aerodynamics and hydrodynamics, the pressure coefficient at a point near a body is independent of body size. Consequently an engineering model can be tested in a wind tunnel or water tunnel hydrodynamic water tunnel , pressure coefficients can be determined at critical locations around ... at the point at which pressure coefficient is being evaluated math p infty math is the pressure ... coefficient can be further simplified for incompressible, lossless, and steady flow ref Anderson ... minus one, but nowhere will the coefficient exceed plus one because the highest pressure that can be achieved is the stagnation pressure . The only time the coefficient will exceed plus one is when ... pressure and static pressure . Also, the familiar relationship that stagnation pressure is equal ... int limits LE TE left C p l x C p u x right ,d frac x c math where math C p l math is pressure coefficient on the lower surface math C p u math is pressure coefficient on the upper surface math LE math ... rather than lift. See also Lift coefficient Drag coefficient Pitching moment Coefficient Pitching moment coefficient References Clancy, L.J. 1975 Aerodynamics , Pitman Publishing Limited, London. ISBN ...   more details



  1. Coefficient (disambiguation)

    Wiktionarypar coefficient Coefficient could have one of the following meanings In mathematics, a coefficient is a constant multiplication of a function The mathematical term differential coefficient has been mostly displaced by the modern term Derivative . In physics, a physical coefficient is an important number that characterizes some physical property of an object. Also, The Coefficients dining club Coefficients were an Edwardian London dining club. disambig es Coeficiente eu Koefiziente pl Wsp czynnik pt Coeficiente desambigua o ro Coeficient dezambiguizare simple Coefficient disambiguation sk Koeficient ...   more details



  1. Temperature coefficient

    The temperature coefficient is the relative change of a physical property when the temperature is changed ... T is the difference between T and T sub 0 sub . Finally, is the linear temperature coefficient ... with temperature, it may be possible to calculate a temperature coefficient that is a useful approximation ... with temperature, such as Arrhenius equation the rate of a chemical reaction , any temperature coefficient ... coefficient A negative temperature coefficient NTC occurs when a physical property such as thermal ... temperature. Materials with a negative temperature coefficient have been used in floor heating since 1971. The negative temperature coefficient avoids excessive local heating beneath carpets, bean bag .... Reversible temperature coefficient Residual magnetic flux density or Magnetic field B and H Br changes ... over a wide temperature range . The reversible temperature coefficient RTC of Br is defined as math ... in the alloy, the temperature coefficient can be reduced to nearly zero. Temperature coefficient of electrical ... to the specific resistance temperature coefficient at a specified reference value normally T 0 C ref ... temperature coefficient. ref cite book last Alenitsyn first Alexander G. coauthors Butikov, Eugene .... Positive temperature coefficient of resistance A positive temperature coefficient PTC refers to materials ..., i.e. a higher coefficient. The higher the coefficient, the greater an increase in electrical resistance for a given temperature increase. Coefficient of thermal expansion main Coefficient of thermal expansion The physical dimensions of matter can be affected by temperature. The coefficient of thermal ... a change in temperature. A similar coefficient, the linear thermal expansion coefficient , is also often used to measure the change of length of an object in one dimension. The coefficient of thermal .... The coefficient is also used for several types of thermostats . Temperature coefficient of elasticity ... temperature. Temperature coefficient of reactivity In nuclear engineering , the temperature coefficient ...   more details



  1. Osmotic coefficient

    An osmotic coefficient is a quantity which characterises the deviation of a solvent from ideal behaviour, referenced to Raoult s law . The osmotic coefficient based on molality b is defined by ref cite web url http www.iupac.org goldbook O04342.pdf title Gold book definition ref math varphi frac mu A mu A RTM A sum i b i , math and on an amount fraction basis by math varphi frac mu A mu A RT ln x A , math where math mu A math is the chemical potential of the pure solvent and math mu A math is the chemical potential of the solvent in a solution, M sub A sub is its molar mass , x sub A sub its amount fraction , R the gas constant and T the temperature in kelvin s. The latter osmotic coefficient is sometimes called the rational osmotic coefficient . The values for the two definitions are different, but since math ln x A ln 1 M A sum i b i approx M A sum i b i, math the two definitions are similar, and in fact both approach 1 as the concentration goes to zero. In a single solute solution, the molality based osmotic coefficient and the solute activity coefficient are related to the excess Gibbs free energy math G ex math by the relations math RTb 1 varphi G ex b frac dG ex db math math RT ln gamma frac dG ex db math and there is thus a differential relationship between them temperature and pressure held constant A few other equations for reference, not worth putting in final article math d mu A M A b RT d ln gamma b 0 math math d varphi b b d ln gamma b math math d varphi 1 b b b d ln gamma b d ln b math math d varphi 1 b b d ln gamma math In ionic solution s, Debye H ckel theory implies that math varphi 1 sum i b i math is asymptotic to math frac 2 3 A I 3 2 math , where I is ionic strength and A is the Debye H ckel constant equal to about 1.17 for water at 25 C . This means that, at least at low concentrations, the vapor pressure of the solvent will be greater than that predicted by Raoult s law. For instance, for solutions of magnesium chloride , the vapor pressure is slightly ...   more details



  1. Differential coefficient

    In mathematics, the differential coefficient of a function f x is what is now called its derivative df x dx , the not necessarily constant multiplicative factor or coefficient of the differential infinitesimal differential dx in the differential df x . A coefficient is usually a Constant mathematics constant quantity, but the differential coefficient of f is a constant function only if f is a linear function . When f is not lineive Differen , hence, the modern term, derivative. Early editions of Silvanus P. Thompson s Calculus Made Easy use the older term. Martin Gardner lets the first use of differential coefficient stand, along with Thompson s criticism of the term as a needlessly obscure phrase that should not intimidate students, and substitutes derivative for the remainder of the book. Category Mathematical analysis Category Differential calculus Category Functions and mappings simple Differential coefficient ...   more details



  1. Discharge coefficient

    unreferenced date January 2010 In a nozzle or other constriction, the discharge coefficient also known as coefficient of discharge is the ratio of the mass flow rate at the discharge end of the nozzle to that of an ideal nozzle which expands an identical working fluid from the same initial conditions to the same exit pressures References http mysite.du.edu jcalvert tech fluids orifice.htm Coefficient of Discharge , J. B. Calvert, 15 June 2003 Category Fluid dynamics fluiddynamics stub ...   more details



  1. Sieving coefficient

    In mass transfer , the sieving coefficient is a measure of Mass transfer equilibration between the concentration s of two mass transfer streams. It is defined as the mean pre and post contact concentration of the mass receiving stream divided by the pre and post contact concentration of the mass donating stream. math S frac C r C d math where S is the sieving coefficient C sub r sub is the mean concentration mass receiving stream C sub d sub is the mean concentration mass donating stream A sieving coefficient of 1 number unity implies that the concentrations of the receiving and donating stream equilibrate, i.e. the out mass flow rate flow concentrations post mass transfer of the mass donating and receiving stream are equal to one another. Systems with sieving coefficient that are greater than one require an external energy source, as they would otherwise violate the laws of thermodynamics . Sieving coefficients less than one represent a mass transfer process where the concentrations have not equilibrated. Contact time between mass streams in important in consider in mass transfer and affects the sieving coefficient. In kidney In renal physiology , the sieving coefficient can be expressed as sieving coefficient renal clearance clearance ultrafiltration rate ref http www.aic.cuhk.edu.hk web8 Renal 20replacement 20therapy 20 20CVVH.htm Sieving coefficient in drug clearance cuhk.edu.hk ref See also Heat exchanger Condenser pinch point Sieve References references Category Transport phenomena Category Chemical engineering Category Mechanical engineering ...   more details



  1. Activity coefficient

    coefficient of substance B approaches a constant this relationship is Henry s Law for the solvent ...An activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substance s. ref GoldBookRef title Activity coefficient file A00116 ref In an ideal mixture , the interactions between each pair of chemical species are the same or more formally, the enthalpy of mixing is zero and, as a result, properties of the mixtures can be expressed directly in terms of simple concentration s or partial pressure s of the substances present e.g. Raoult s law . Deviations from ideality are accommodated by modifying the concentration by an activity coefficient . Analogously, expressions involving gases can be adjusted for non ideality by scaling partial pressure s by a fugacity coefficient. The concept of activity coefficient is closely linked to that of activity chemistry activity in chemistry . Thermodynamics The chemical potential , math mu B math , of a substance B in an ideal mixture is given by math mu B mu B ominus RT ln x B , math where math mu B ominus math is the chemical potential in the standard state and x sub B sub is the mole fraction of the substance in the mixture. This is generalised to include non ideal behavior by writing ... with math a B x B gamma B math where math gamma B math is the activity coefficient. As math ... are dimensionless numbers. This derivation serves two purposes. It shows the relationship between standard ... by the product of a concentration and an activity coefficient, the equilibrium constant is defined ... coefficient is constant and can be ignored, leading to the usual expression math K frac S sigma T tau ... species, the activity coefficient sub 0 sub mostly follows a salting out model ref name Butler J.N. ... coefficient of water, and the constant 55.51 represents the molal concentration of water ... Coefficient Category Thermodynamics Category Equilibrium chemistry ca Coeficient d activitat pl ...   more details



  1. Reflection coefficient

    The reflection coefficient is used in physics and electrical engineering when wave propagation in a medium containing discontinuity mathematics discontinuities is considered. A reflection coefficient describes either the amplitude or the intensity physics intensity of a reflection physics reflected wave relative to an incident wave. The reflection coefficient is closely related to the transmission coefficient . Image Partial transmittance.gif right frame A wave experiences partial transmittance and partial reflectance when the medium through which it travels suddenly changes. Different specialties have different applications for the term. Telecommunications In telecommunication s, the reflection coefficient is the ratio of the amplitude of the reflected wave to the amplitude of the incident wave. In particular, at a discontinuity in a transmission line , it is the complex number complex ratio ... Gamma frac E E math The reflection coefficient may also be established using other field or Electronic circuit circuit quantities. The reflection coefficient can be given by the equations below ... toward the External electric load load Image Reflection Coefficient Circuit.svg thumb right Simple circuit configuration showing measurement location of reflection coefficient. math Gamma Z L Z S over Z L Z S math Notice that a negative reflection coefficient means that the reflected wave ... bars of the reflection coefficient can be calculated from the standing wave ratio , math SWR math math Gamma SWR 1 over SWR 1 math The reflection coefficient is displayed graphically using a Smith chart . Seismology main Reflection seismology Reflection coefficient is used in feeder testing ... the latter are represented by a lower case r . Semipermeable membranes The reflection coefficient ... can pass. It is used in the Starling equation . See also Microwave transmission coefficient ... that shows how a reflected wave is generated , the reflection coefficient and VSWR Category Geometrical ...   more details



  1. Coefficient of determination

    In statistics , the coefficient of determination R sup 2 sup is used in the context of statistical models ... coefficient correlation coefficient between the outcomes and their predicted values, or in the case ... for prediction. In such cases, the coefficient of determination ranges from 0 to 1. Important cases ... under this goodness of fit analysis. Definitions File Coefficient of Determination.svg thumb 400px ... sum of squares and E xplained sum of squares, respectively. The most general definition of the coefficient ... coefficient Similarly, after least squares regression with a constant linear model i.e., simple linear regression , R sup 2 sup equals the square of the Pearson product moment correlation coefficient correlation coefficient between the observed and modeled predicted data values. Under general conditions ... coefficient correlation coefficient between the original and modeled data values. In this case ... the definition of the term coefficient of determination the square of the correlation between ... the goodness of fit of a model. In regression, the R sup 2 sup coefficient of determination is a statistical ... . The coefficient of determination R sup 2 sup is a measure of the global fit of the model. Specifically ... in math y math , while R sup 2 sup     0 indicates no linear relationship for straight ... moment correlation coefficient relating the regressor and the response variable. More generally ... it an estimated coefficient of zero, leaving the predicted values and the R sup 2 sup unchanged. The only way that the optimization problem will give a non zero coefficient is if doing so improves ... Nagelkerke 1991 generalizes the definition of the coefficient of determination A generalized coefficient of determination should be consistent with the classical coefficient of determination when both ... cite journal doi 10.1093 biomet 78.3.691 title A Note on a General Definition of the Coefficient of Determination ... moment correlation coefficient Nash Sutcliffe model efficiency coefficient Hydrology hydrological applications ...   more details



  1. Coefficient of haze

    The coefficient of haze also known as smoke shade is a measurement of visibility interference in the Earth s atmosphere atmosphere . ref name Somani1992 References references ref name Somani1992 cite encyclopaedia encyclopedia Dictionary of agricultural and allied sciences P , Part 7 author L. L. Somani publisher Mittal Publications date 1992 isbn 8170991137 isbn13 9788170991137 article Coefficient of Haze pages 322 ref references Further reading cite encyclopaedia encyclopedia IUPAC Compendium of Chemical Terminology edition 2nd Edition date 1997 article Coefficient of Haze publisher International Union of Pure and Applied Chemistry url http iupac.org. goldbook C01125.pdf format Portable Document Format PDF author Alan D. McNaught and Andrew Wilkinson isbn10 0865426848 isbn 9780865426849 cite book title Methods of air sampling and analysis author James P. Lodge edition 3rd publisher CRC Press year 1988 isbn 0873711416 isbn13 9780873711418 chapter Continuous Tape Sampling of Coefficient of Haze DEFAULTSORT Coefficient Of Haze Category Visibility Climate stub ...   more details



  1. Physical coefficient

    Unreferenced date August 2008 A physical coefficient is an important number that characterizes some physical property of a technical or scientific object. A coefficient also has a scientific reference which is the reliance on force. To find the coefficient of a chemical compound , you must balance the elements involved in it. For example, water H sub 2 sub O. It just so happens that hydrogen H and oxygen O are both diatomic molecules, thus we have H sub 2 sub and O sub 2 sub . To form water, one of the O atoms breaks off from the O sub 2 sub molecule and react with the H sub 2 sub compound to form H sub 2 sub O. But, there is one oxygen atom left. It reacts with another H sub 2 sub molecule. Since it took two of each atom to balance the compound, we put the coefficient 2 in front of H sub 2 sub O 2 H sub 2 sub O. The total reaction is thus 2 H sub 2 sub O sub 2 sub 2 H sub 2 sub O. Examples of physical coefficients Coefficient of thermal expansion thermodynamics dimensionless Relates the change in temperature to the change in a material s dimensions. Partition coefficient K sub D sub chemistry The ratio of concentrations of a compound in two phases of a mixture of two immiscible solvents at equilibrium. Hall Effect Hall coefficient electrical physics Relates a magnetic field applied to an element to the voltage created, the amount of current and the element thickness. It is a characteristic of the material from which the conductor is made. Lift coefficient C sub L sub or C sub ... of the fluid flow around the airfoil, and the planform area of the airfoil. Ballistic coefficient BC ... is a function of mass, diameter, and drag coefficient. Transmission coefficient physics Transmission coefficient quantum mechanics dimensionless Represents the probability flux of a transmitted wave relative ... tunnelling tunnelling through a barrier. Damping Damping factor a.k.a. viscous damping coefficient ... coefficient ta ...   more details



  1. Partition coefficient

    or distribution D coefficient is the ratio of concentration s of a chemical compound compound in the two ... liquid partition coefficient and air water partition coefficient are sometimes used for dimensionless ... of the compound between these two solvents. The phrase Partition Coefficient is now considered obsolete ... 0 86542 684 8 oclc doi 10.1351 goldbook url accessdate chapter Partition Coefficient chapterurl http ... ref Hence both the partition and distribution coefficient are measures of how hydrophilic water loving or hydrophobic water fearing a chemical substance is. A partition coefficient can also ... preferentially are found in hydrophilic compartments such as Blood plasma blood serum . Partition coefficient and log P The partition coefficient is a ratio of concentrations of un Ionization ionized compound between the two solutions. To measure the partition coefficient of ionizable solutes, the pH ... coefficient and log D The distribution coefficient is the ratio of the sum of the concentrations ... coefficient , the pH of the aqueous phase is Buffer solution buffered to a specific value ... coefficient strongly affects how easily the drug can reach its intended target in the body, how ... coefficient has a strong influence on ADME properties absorption pharmacokinetics A bsorption .... Hence the hydrophobicity of a compound as measured by its distribution coefficient is a major ... coefficient for a drug is usually intermediate not too hydrophobic nor too hydrophilic . Consumer ... In metallurgy , the partition coefficient is an important factor in determining how different ... in the research phase. In the field of hydrogeology , the octanol water partition coefficient, or K ... Two phase system, hydrophobic top and hydrophilic bottom for measuring the partition coefficient of compounds ... ref Prediction Quantitative structure activity relationship QSPR Q uantitative S tructure P roperty ... P is to parameterize the contributions of various atoms to the over all molecular partition coefficient ...   more details



  1. Attenuation coefficient

    For attenuation coefficient as it applies to electromagnetic theory and telecommunications see Attenuation constant propagation constant . For the mass attenuation coefficient , see the article mass attenuation coefficient . The attenuation coefficient is a quantity that characterizes how easily a material ... energy or matter . A large attenuation coefficient means that the beam is quickly attenuated weakened as it passes through the medium, and a small attenuation coefficient means that the medium is relatively transparency and translucency transparent to the beam. Attenuation coefficient is measured using units of reciprocal length . The attenuation coefficient is also called linear attenuation coefficient , pencil beam narrow beam attenuation coefficient , or absorption coefficient . Although ... Attenuation versus absorption below . Overview The attenuation coefficient describes the extent ... colloids , Elsevier, 2002 ref The attenuation coefficient is widely used in acoustics ... ref Note that the sabin is not a unit of attenuation coefficient rather, it is the unit of a related quantity. A small linear attenuation coefficient indicates that the material in question is relatively ... opacity . The linear attenuation coefficient is dependent upon the type of material and the energy ... coefficient will be. Definitions and formulas The measured intensity math I math of transmitted through ... I I 0 , e alpha , x , math where math x math denotes the path length. The attenuation coefficient or linear attenuation coefficient is math alpha math . The Half Value Layer HVL signifies the thickness ... and incident radiation intensities math I I 0 math . The linear attenuation coefficient and mass attenuation coefficient are related such that the mass attenuation coefficient is simply math alpha rho math , where math rho math is the density in g cm sup 3 sup . When this coefficient is used ... of length times density. The linear attenuation coefficient is also inversely related to mean ...   more details




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