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The mean center, or centroid, is the point on which a rigid, weightless map would balance perfectly, if the population members are represented as points of equal mass. Mathematically, the centroid is the point to which the population has the smallest possible sum of squared distances. It is easily found by taking the arithmetic mean of each ...
The wedge sum of k unit circles = is a (,), where is the free group on k generators. The complement to any connected knot or graph in a 3-dimensional sphere S 3 {\displaystyle S^{3}} is of type K ( G , 1 ) {\displaystyle K(G,1)} ; this is called the " asphericity of knots", and is a 1957 theorem of Christos Papakyriakopoulos .
In three-point estimation, three figures are produced initially for every distribution that is required, based on prior experience or best-guesses: a = the best-case estimate; m = the most likely estimate; b = the worst-case estimate
Inverse probability weighting is also used to account for missing data when subjects with missing data cannot be included in the primary analysis. [4] With an estimate of the sampling probability, or the probability that the factor would be measured in another measurement, inverse probability weighting can be used to inflate the weight for ...
In general, with a normally-distributed sample mean, Ẋ, and with a known value for the standard deviation, σ, a 100(1-α)% confidence interval for the true μ is formed by taking Ẋ ± e, with e = z 1-α/2 (σ/n 1/2), where z 1-α/2 is the 100(1-α/2)% cumulative value of the standard normal curve, and n is the number of data values in that ...
Mulliken charges arise from the Mulliken population analysis [1] [2] and provide a means of estimating partial atomic charges from calculations carried out by the methods of computational chemistry, particularly those based on the linear combination of atomic orbitals molecular orbital method, and are routinely used as variables in linear regression (QSAR [3]) procedures. [4]
The table shown on the right can be used in a two-sample t-test to estimate the sample sizes of an experimental group and a control group that are of equal size, that is, the total number of individuals in the trial is twice that of the number given, and the desired significance level is 0.05. [4]
Maclean is a town in Clarence Valley local government area in the Northern Rivers region of New South Wales, Australia. It is on the Clarence River and near the Pacific Highway. At the 2021 census, Maclean had a population of 2,778, [1] total urban area including Townsend and Gulmarrad (postcode 2463) is more than 8,304. [2]