Payment for the Atkins and Schmidt accounts from Jarvis, Conklin and Morgan Negotiators of Farm Mortgages

Payment for the Atkins and Schmidt accounts from Jarvis, Conklin and Morgan Negotiators of Farm Mortgages, Dec. 29, 1884.

Payment for the Atkins, Schmidt, Crick, Mank, Underwood and Crew accounts

Payment for the Atkins, Schmidt, Crick, Mank, Underwood and Crew accounts, Jan. 1, 1885.

Payment for the Crick, Underwood, Crew, Mank, Atkins and Schmidt accounts

Payment for the Crick, Underwood, Crew, Mank, Atkins and Schmidt accounts, June 9, 1885.

Payment for Atkins, Schmidt, Crick, Mank, Underwood and Crew accounts

Payment for Atkins, Schmidt, Crick, Mank, Underwood and Crew accounts, June 16, 1886.

Payment for Rockroth, Atkins, Schmidt, Mank and Crew accounts

Payment for Rockroth, Atkins, Schmidt, Mank and Crew accounts, June 28, 1887.

Payment for Atkins, Schmidt, Mank and Crew accounts

Payment for Atkins, Schmidt, Mank and Crew accounts, Dec. 28, 1887.

Payment for Atkins, Schmidt, Crick, Mank, Crew and Rothrock accounts

Payment for Atkins, Schmidt, Crick, Mank, Crew and Rothrock accounts, Jan. 1, 1889.

Payment for Rothrock, Schmidt and Mank accounts

Payment for Rothrock, Schmidt and Mank accounts, June 28, 1889.

Letter to S.D. Woodruff regarding the Atkins and Schmidt accounts signed by Jarvis, Conklin and Co.

Letter to S.D. Woodruff regarding the Atkins and Schmidt accounts signed by Jarvis, Conklin and Co., Oct. 8, 1884.

Letter to S.D. Woodruff which accompanied the payment on the John Schmidt loan signed by S.L. Conklin, assistant secretary of Jarvis-Conklin Mortgage Trust Company

Letter to S.D. Woodruff (1 page, typed) which accompanied the payment on the John Schmidt loan signed by S.L. Conklin, assistant secretary of Jarvis-Conklin Mortgage Trust Company, July 9, 1889.

Obtención de oligómeros y polímeros electroluminiscentes vía reacciones de claisen-schmidt y wittig.

Tesis (Doctor en Ingeniería de Materiales) UANL, 2013.

On the relationship between the Method of Least Squares and Gram-Schmidt orthogonalization

The method of Least Squares is due to Carl Friedrich Gauss. The Gram-Schmidt orthogonalization method is of much younger date. A method for solving Least Squares Problems is developed which automatically results in the appearance of the Gram-Schmidt orthogonalizers. Given these orthogonalizers an induction-proof is available for solving Least Squares Problems.

Impacto das questões relacionadas com a idade e a nutrição na promoção da saúde e redução do risco das doenças mais comuns nos idosos

Será revisto o Estado da Arte do Conhecimento sobre o impacto das questões relacionadas com a idade e a nutrição, que promovam a saúde e reduzem o risco das doenças mais comuns em idosos, particularmente as doenças cardiovasculares.

A neurofuzzy network knowledge extraction and extended gram-Schmidt algorithm for model subspace decomposition

This paper introduces a new neurofuzzy model construction and parameter estimation algorithm from observed finite data sets, based on a Takagi and Sugeno (T-S) inference mechanism and a new extended Gram-Schmidt orthogonal decomposition algorithm, for the modeling of a priori unknown dynamical systems in the form of a set of fuzzy rules. The first contribution of the paper is the introduction of a one to one mapping between a fuzzy rule-base and a model matrix feature subspace using the T-S inference mechanism. This link enables the numerical properties associated with a rule-based matrix subspace, the relationships amongst these matrix subspaces, and the correlation between the output vector and a rule-base matrix subspace, to be investigated and extracted as rule-based knowledge to enhance model transparency. The matrix subspace spanned by a fuzzy rule is initially derived as the input regression matrix multiplied by a weighting matrix that consists of the corresponding fuzzy membership functions over the training data set. Model transparency is explored by the derivation of an equivalence between an A-optimality experimental design criterion of the weighting matrix and the average model output sensitivity to the fuzzy rule, so that rule-bases can be effectively measured by their identifiability via the A-optimality experimental design criterion. The A-optimality experimental design criterion of the weighting matrices of fuzzy rules is used to construct an initial model rule-base. An extended Gram-Schmidt algorithm is then developed to estimate the parameter vector for each rule. This new algorithm decomposes the model rule-bases via an orthogonal subspace decomposition approach, so as to enhance model transparency with the capability of interpreting the derived rule-base energy level. This new approach is computationally simpler than the conventional Gram-Schmidt algorithm for resolving high dimensional regression problems, whereby it is computationally desirable to decompose complex models into a few submodels rather than a single model with large number of input variables and the associated curse of dimensionality problem. Numerical examples are included to demonstrate the effectiveness of the proposed new algorithm.

Application of the direct Liapunov method to the problem of symmetric stability in the atmosphere

The problem of symmetric stability is examined within the context of the direct Liapunov method. The sufficient conditions for stability derived by Fjørtoft are shown to imply finite-amplitude, normed stability. This finite-amplitude stability theorem is then used to obtain rigorous upper bounds on the saturation amplitude of disturbances to symmetrically unstable flows.By employing a virial functional, the necessary conditions for instability implied by the stability theorem are shown to be in fact sufficient for instability. The results of Ooyama are improved upon insofar as a tight two-sided (upper and lower) estimate is obtained of the growth rate of (modal or nonmodal) symmetric instabilities.The case of moist adiabatic systems is also considered.