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Standard method like Gauss elimination can be used to solve the matrix equation for .A more numerically stable method is provided by QR decomposition method. Since the matrix is a symmetric positive definite matrix, can be solved twice as fast with the Cholesky decomposition, while for large sparse systems conjugate gradient method is more effective.
The MSE either assesses the quality of a predictor (i.e., a function mapping arbitrary inputs to a sample of values of some random variable), or of an estimator (i.e., a mathematical function mapping a sample of data to an estimate of a parameter of the population from which the data is sampled).
The orthogonality principle is most commonly used in the setting of linear estimation. [1] In this context, let x be an unknown random vector which is to be estimated based on the observation vector y. One wishes to construct a linear estimator ^ = + for some matrix H and vector c.
MMSE can refer to: Mini–mental state examination, a questionnaire to measure cognitive impairment; Minimum mean square error, an estimation method that minimizes the mean square error; Multimedia Messaging Service Environment, the servers in a mobile telephony network required for Multimedia Messaging Service messaging.
The general expression Qualitative Analysis [...] refers to analyses in which substances are identified or classified on the basis of their chemical or physical properties, such as chemical reactivity, solubility, molecular weight, melting point, radioactivity properties (emission, absorption), mass spectra, nuclear half-life, etc. Quantitative Analysis refers to analyses in which the amount ...
While the use of the affix mono-is rarely necessary in organic chemistry, it is often essential in inorganic chemistry to avoid ambiguity: carbon oxide could refer to either carbon monoxide or carbon dioxide. In forming compound affixes, the numeral one is represented by the term hen-except when it forms part of the number eleven (undeca-): hence
In this creamy radish soup recipe, radishes are sautéed and pureed with potato, creating a velvety, healthy soup. Cooking radishes also tones down any bitterness while leaving plenty of sweet ...
The rule of mutual exclusion in molecular spectroscopy relates the observation of molecular vibrations to molecular symmetry.It states that no normal modes can be both Infrared and Raman active in a molecule that possesses a center of symmetry.
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