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...constraints. For problems with sum-of-squares cost functions, see [[Least squares]].}} ...operty. When fixing the maximum degree of the polynomials involved, sum-of-squares optimization is also known as the '''Lasserre hierarchy''' of relaxations i ...

=== Least Squares Regression Line (LSRL) === ...ndependent variable. The calculation is based on the method of the [[least squares]] criterion. The goal is to minimize the sum of the squared vertical distan ...

...graphs as bounded operators on [[Hilbert space]], they have since become a tool for constructing interesting [[C*-algebra]]s whose structure reflects the f ...>ef = f'e'</math> in <math>\Lambda</math>. A different choice of commuting squares can yield a distinct <math>k</math>-graph with the same skeleton. ...

{{Short description|Statistical tool}} ...decreases. The estimator thus can be used to improve the [[ordinary least squares]] (OLS) [[Regression analysis|regression]] when the residuals are heterosce ...

...ponents, the modelled data optimally resemble the actual data in the least squares sense. The model gives a summary of the information in the data, in the sam ...

It is a key tool in [[Bayes estimator|Bayes]] and [[empirical Bayes]] [[variable selection]] is the maximum likelihood (least squares) estimator of <math>\beta</math>. The vector of regression coefficients <ma ...

...l to zero (with certain exceptions—for example, parabolas). The principal tool in this process is "completing the square."<ref>{{harvtxt |Protter|Morrey|1 Complete the squares and obtain ...

...t is a main ingredient in the [[generalized linear model]] framework and a tool used in [[non-parametric regression]],<ref name="Muller1">{{cite journal|la ==== Application – weighted least squares ==== ...

'''Flag algebras''' are an important computational tool in the field of [[graph theory]] which have a wide range of applications in ...al S^\sigma</math>. Perhaps more non-trivially, any conical combination of squares of elements of <math>A^\sigma</math> will also yield an element of the sema ...

A chessboard contains natural corners at the boundaries between board squares, so one would expect corner detection algorithms to successfully detect the ...ough transform is able to accurately detect the lines induced by the board squares. ...

...quilibrium constraints|MPEC]]). Specialized algorithms for nonlinear least squares problems. |Lightweight software tool for single- and multi-objective optimization. Supporting MINLP and parallel ...

...le periodogram]],<ref>{{cite journal | author = N. R. Lomb | title = Least-squares frequency analysis of unequally spaced data | journal = Astrophysics and Sp ...e properties of the time-domain sampling appropriately makes it a valuable tool for typical astronomical measurements containing data gaps. ...

...]] the second moment operator is a tensor defined as the sum of the tensor squares of the positions of a single electron. Then, this is a one-electron operato The total position-spread is a powerful tool to monitor the wave function. In Figure 3 is shown the longitudinal spin-su ...

...with small ones having just a few atoms, for use as a [[teaching aid]] and tool for archiving data, (2) forecasting data for molecular properties based on ...uthor=Hefferlin, R. |year=2010 |title=Internuclear Separations using Least squares and Neural Networks for 46 new s and p Electron Diatomics}}</ref> ...

{{short description|Criminal profiling tool}} Imagine a map with an overlaying grid of little squares named sectors. If this map is a [[raster image]] file on a computer, these ...

*Least squares curve fitting program ===Least squares curve fitting program=== ...

...interact with thin films. When used with a spectroscopic [[reflectometry]] tool, the Forouhi–Bloomer dispersion equations specify ''n'' and ''k'' for amorp ...C'', ''E''_g, ''n''(∞), ''t'', in order to reduce the sum of the squares of the errors between the theoretical ''R''(''λ'') or theoretical ''T''(''λ ...

...ge]] is impossible. However, if the quadratrix is allowed as an additional tool, it is possible to divide an arbitrary angle into <math>n</math> equal segm ...traversed angle is proportional to the traversed segment of the associated squares' side. Therefore, dividing that segment on the side into <math>n</math> equ ...

...ty of mathematical modeling. Like the KF, the MFOE is based on the [[least squares]] method (LSM) invented by Gauss<ref name="Bell1" /><ref name="Bell2" /><re ...">{{Cite journal|last=Bell|first=Jeff|date=2020-01-27|title=Ordinary Least Squares Revolutionized: Establishing the Vital Missing Empirically Determined Stati ...

{{Short description|Tool used to draw statistical inferences from observed data}} ...specified.    [[File:Equivalence Test.png|thumb|Mean differences (black squares) and 90% confidence intervals (horizontal lines) with equivalence bounds ΔL ...