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Published: 9 March 2023
Last updated: 10 March 2023

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1

Malighetti, Roberto. "Identita e lavoro sul campo nel Quilombo Frechal." La Ricerca Folklorica, no. 41 (April 2000): 97. http://dx.doi.org/10.2307/1479813.

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2

Santos, Camila Andrade dos, Ádilla Danúbia Marvão Nascimento Serrão, Rogério Hideki Ferreira Funo, Antônia Macedo Filha, Tito Carvalho Tsuji, Nicole Aguiar Simões, Valéria Cristina dos Santos Carvalho, and João Pedro Pimentel Abreu. "UMA EXPERIÊNCIA DE EXTENSÃO EM DESIGN NA RESERVA EXTRATIVISTA QUILOMBO FRECHAL, MARANHÃO/BRASIL/ AN EXTENSION EXPERIENCE IN DESIGN AT QUILOMBO FRECHAL EXTRACTIVE RESERVE, MARANHÃO/BRAZIL." Brazilian Journal of Development 6, no. 11 (2020): 89933–46. http://dx.doi.org/10.34117/bjdv6n11-417.

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3

Malighetti, Roberto. "Identitarian Politics in the "Quilombo" Frechal: Live Histories in a Brazilian Community of Slave Descendants." Outlines. Critical Practice Studies 12, no. 2 (May 5, 2010): 97–112. http://dx.doi.org/10.7146/ocps.v12i2.2729.

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Based on an extended fieldwork, the paper discusses the construction of identity in a Brazilian quilombo - a term originally used by the Portuguese authorities to juridically define the flights of the Brazilian slaves. Appealing to a Constitutional Article granting the property of the land to the descendant of the fugitive slaves, the people of Frechal (Maranhão) obtained - after complex events overshadowed by tension and violence - the expropriation of the land bought by an entrepreneur of São Paulo with the precise intent to forcibly expel the local population. Founding their right on an idea of cultural authenticity and mobilizing a symbolism capable of legitimating their claims and of giving them a legal weight, they transformed themselves from object of slavery, discrimination and racism to ethno-political subjects. Proceeding from the analysis of this paradigmatic case, the article shows how the term quilombo can be "re-semanticized" in order to be applicable to the contemporary situations of the Afro-Brazilian population. The actuality of the word, transferred from its original juridical meaning of colonial matrix, is founded on the idea that the quilombos are not isolated survivals of the past to honor in the memory of the heroes that fought against slavery. Rather they represent true projects of a new political order, nuclei of the contemporary resistance founded on the collective property of the land. As such the quilombos are considered as real counterpoints to the neoliberal expansion in the rural areas.
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4

Antunes, Marta. "O quilombo de Frechal: identidade e trabalho de campo em uma comunidade brasileira de remanescentes de escravos." Mana 17, no. 3 (December 2011): 667–70. http://dx.doi.org/10.1590/s0104-93132011000300011.

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5

Rosário, Wildinson Carvalho do, Antônia Alice Costa Rodrigues, Anna Christina Sanazário de Oliveira, Claudio Belmino Maia, and Bruno Rafael Marques. "Fisiologia, sanidade e controle de fitopatógenos em sementes florestais da Reserva Extrativista Quilombo do Frechal em Mirinzal - MA." Ciência Florestal 32, no. 2 (June 24, 2022): 959–78. http://dx.doi.org/10.5902/1980509864510.

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O objetivo deste trabalho foi traçar o perfil fisiológico, sanitário e o controle de fitopatógenos em quatro espécies de sementes florestais. Antes dos testes, as sementes de juçara (Euterpe oleracea Mart.), jenipapo (Genipa americana L.), urucum (Bixa orellana L.) e cuia (Crescentia cujete L.) foram desinfestadas com álcool 70%, hipoclorito de sódio a 5% e água destilada. Os testes de germinação, emergência e sanidade foram realizados conforme a RAS. No manejo alternativo, foram testados o isolado de Bacillus methylotrophicus e o óleo de nim, sendo realizado por meio de dois experimentos independentes em delineamento inteiramente casualizado (DIC), com quatro tratamentos e oito repetições. O experimento “um” foi realizado através da microbiolização das sementes com B. methylotrophicus e, no experimento “dois”, as sementes foram pulverizadas com óleo de nim a 15% com auxílio de pulverizador manual. As sementes de juçara, jenipapo, urucum e cuia obtiveram 9,0; 67,00; 17,50 e 63,5% de germinação; 0,5; 7,00; 0,5 e 63;5% de emergência; 22,81; 12,15; 15,66 e 8,73% de teor de água, respectivamente. Os fungos fitopatogênicos de maior incidência foram Penicillium sp., Aspergillus sp., Fusarium sp., nas sementes florestais de cuia, jenipapo, juçara e urucum, respectivamente. As sementes tratadas com óleo de nim e as microbiolizadas com B. methylotrophicus obtiveram controle significativo para Aspergillus sp.; Penicillium sp., em sementes de jenipapo; Lasiodiplodia sp. e Fusarium sp. em sementes de urucum. Portanto, o uso de B. methylotrophicus e óleo de nim pode ser considerado alternativa viável na redução de patógenos de sementes florestais.
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6

Maleev, R. P., and S. L. Troyanski. "Smooth Norms in Orlicz Spaces." Canadian Mathematical Bulletin 34, no. 1 (March 1, 1991): 74–82. http://dx.doi.org/10.4153/cmb-1991-012-7.

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AbstractEquivalent norms with best order of Frechet and uniformly Frechet differentiability in Orlicz spaces are constructed. Classes of Orlicz which admit infinitely many times Frechet differentiable equivalent norm are found.
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7

Badr, Majdah M. "Beta Generalized Exponentiated Frechet Distribution with Applications." Open Physics 17, no. 1 (December 24, 2019): 687–97. http://dx.doi.org/10.1515/phys-2019-0071.

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Abstract In this article we introduce a new six - parameters model called the Beta Generalized Exponentiated-Frechet (BGEF) distribution which exhibits decreasing hazard rate. Many models such as Beta Frechet (BF), Beta ExponentiatedFrechet (BEF), Generalized Exponentiated-Frechet (GEF), ExponentiatedFrechet (EF), Frechet (F) are sub models. Some of its properties including rth moment, reliability and hazard rate are investigated. The method of maximum likelihood isproposed to estimate the model parameters. The observed Fisher’s information matrix is given. Moreover, we give the advantage of the (BGEF) distribution by an application using two real datasets
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8

Bökamp, Lena. "Neues Lager für Lekkerland." Lebensmittel Zeitung 73, no. 8 (2021): 53. http://dx.doi.org/10.51202/0947-7527-2021-8-053-6.

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9

G., Ernesto Acosta, and Cesar Delgado G. "Frechet vs. Caratheodory." American Mathematical Monthly 101, no. 4 (April 1994): 332. http://dx.doi.org/10.2307/2975625.

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10

Hai, Le Mau, and Nguyen Van Khue. "Some characterizations of the properties (DN) and ($\tilde\Omega$)." MATHEMATICA SCANDINAVICA 87, no. 2 (December 1, 2000): 240. http://dx.doi.org/10.7146/math.scand.a-14307.

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The aim of this paper is to show that 7816H_w(B,F) = H(B,F)7816 for every $\mathrm{LB}^\infty$-regular compact set $B$ in a Frechet space $E$ if and only if $F$ is a Frechet space having property (DN). At the same time, the equivalence between the existence of the $\mathrm{LB}^\infty$-regular compact set $B$ in a Schwartz-Frechet space $E$ with an absolute basis and the property $(\tilde\Omega)$ also established here.
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11

Annapurna, N., Dr P. Mohammed Akhtar, Dr G. Venkatesulu, and Dr S. Dhanunjaya. "The Continuous Acceptance Sampling of Truncated Frechet Distribution Based on CUSUM Schemes." International Journal for Research in Applied Science and Engineering Technology 10, no. 4 (April 30, 2022): 3261–67. http://dx.doi.org/10.22214/ijraset.2022.42058.

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Abstract: Acceptance sampling plans were evaluated to draw valid conclusions regarding lots of finished products. Based on the assumption that the variable under consideration is distributed according to a Frechet distribution, CASP-CUSUM schemes are presented here for optimizing Type-C OC curves and ARLs. The Truncated Frechet distribution, its Type-C OC curve values, and ARL values at different shapes parameters were determined under this assumption. Finally, we determined an optimal CASP-CUSUM scheme that maximizes PA. Keywords: CASP – CUSUM Schemes, Type-C OC curves, ARL Values, Truncated Frechet distribution.
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12

Fazel, Mohammad R., Majid M. Moghaddam, and Javad Poshtan. "Application of GDQ method in nonlinear analysis of a flexible manipulator undergoing large deformation." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227, no. 12 (March 11, 2013): 2671–85. http://dx.doi.org/10.1177/0954406213478541.

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Analysis of a flexible manipulator as an initial value problem, due to its large deformations, involves nonlinear ordinary differential equations of motion. In the present work, these equations are solved through the general Frechet derivatives and the generalized differential quadrature (GDQ) method directly. The results so obtained are compared with those of the fourth-order Runge–Kutta method. It is seen that both the results match each other well. Further considering the same manipulator as a boundary value problem, its governing equation is a highly nonlinear partial differential equation. Again applying the general Frechet derivatives and the GDQ method, it is seen that the results are in good match with the linear theory. In both cases, the general Frechet derivatives are introduced and successfully used for linearization. The results of the present study indicate that the GDQ method combined with the general Frechet derivatives can be successfully used for the solution of nonlinear differential equations.
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13

Sapkota, Laxmi Prasad. "Topp-Leone Fréchet Distribution with Theory and Application." Janapriya Journal of Interdisciplinary Studies 10, no. 01 (December 31, 2021): 65–80. http://dx.doi.org/10.3126/jjis.v10i01.42611.

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We have defined a new distribution as a generalization of Frechet distribution called the Topp-Leone Frechet distribution. Some properties and characteristics of the proposed distribution are presented. The hazard rate function can have the shape of the reverse-j, right-skewed and unimodal. The parameters of the proposed model are estimated by employing the maximum likelihood estimation (MLE) method and asymptotic confidence intervals for MLEs are also provided. R software is used for computational purpose. The application of the Topp-Leone Frechet distribution is presented by considering a real dataset and found that the proposed model provided a good fit as compared with some competing models
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14

Wang, Tsili, and Alberto Mezzatesta. "Fast Frechet derivative calculation using an auxiliary source array method: An application to array resistivity measurements." GEOPHYSICS 66, no. 5 (September 2001): 1364–71. http://dx.doi.org/10.1190/1.1487082.

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Frechet derivatives provide the vital information for parametric resistivity inversion, but the calculation for a multidimensional problem is often computer intensive. This paper presents a new technique for fast calculation of the Frechet derivatives of resistivity measurements with respect to formation resistivity properties. The technique, referred to as the auxiliary source array method (ASAM), generalizes the reciprocity principle‐based methods in that for closely spaced receivers it may not be necessary to place a fictitious source at each receiver location. Rather, an auxiliary source array comprised of sparsely spaced fictitious sources can be constructed from which the field for any fictitious source location can be reconstructed. The ASAM was tested with a deviated‐well resistivity model for an array resistivity device that acquires 8 potential, 16 first potential difference, and 14 second potential difference data points at each depth level. The Frechet derivatives calculated by the ASAM agree well with those obtained through the parameter perturbation method. The tests showed that the calculation time of the ASAM has little dependence on the number of parameters for which the Frechet derivatives are to be calculated. The method can calculate the Frechet derivatives of 5 to 138 resistivity parameters with only 20% to 50% additional computer time. For the 138‐parameter model, the ASAM is about two orders of magnitude faster than the parameter perturbation method.
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15

Eftekharinasab, Kaveh. "Some applications of transversality for infinite dimensional manifolds." Proceedings of the International Geometry Center 14, no. 2 (September 26, 2021): 137–53. http://dx.doi.org/10.15673/tmgc.v14i2.1939.

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We present some transversality results for a category of Frechet manifolds, the so-called MCk - Frechet manifolds. In this context, we apply the obtained transversality results to construct the degree of nonlinear Fredholm mappings by virtue of which we prove a rank theorem, an invariance of domain theorem and a Bursuk-Ulam type theorem.
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16

Vololazskiy, Yevgen V. "A Modification of the Frechet Distance for Nonisomorphic Trees." Control Systems and Computers, no. 2-3 (292-293) (July 2021): 20–27. http://dx.doi.org/10.15407/csc.2021.02.020.

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The paper presents a modification of the Frechet distance for nonisomorphic trees. While the classical Frechet distance between nonisomorphic trees is undefined, a new measure called similarity of a tree to a reference tree is given that is defined for a wider class of trees. A polynomial-time algorithm is given to determine whether one tree’s similarity to another is less than a given number.
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17

Ayinde, Semiu A. "Approximate Identities in Algebras of Compact Operators on Frechet Spaces." International Journal of Mathematical Analysis and Optimization: Theory and Applications 7, no. 2 (March 2022): 130–40. http://dx.doi.org/10.52968/28305203.

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Bounded approximate identity(bai) is a key concept in the theory of amenability of algebras. In this paper, we show that algebra of compact operators on Frechet space X has both the right and left locally bounded approximate identities. Sufficient conditions for the existence of these identities are established based on the geometry properties of the Frechet space X and its dual space X' respectively.
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18

Strauch, Friedrich. "A Pliocene cervid relict from the open mine in Frechen, Rheinland, Germany." Neues Jahrbuch für Geologie und Paläontologie - Monatshefte 1994, no. 3 (March 7, 1994): 129–42. http://dx.doi.org/10.1127/njgpm/1994/1994/129.

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19

Khaton, Mst Zamilla, MH Rashid, and MI Hossain. "On the Convergence of Newton-like Method for Variational Inclusions under Pseudo-Lipschitz Mapping." GANIT: Journal of Bangladesh Mathematical Society 40, no. 1 (July 14, 2020): 43–53. http://dx.doi.org/10.3329/ganit.v40i1.48194.

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In the present paper, we study a Newton-like method for solving the variational inclusion defined by the sums of a Frechet differentiable function, divided difference admissible function and a set-valued mapping with closed graph. Under some suitable assumptions on the Frechet derivative of the differentiable function and divided difference admissible function, we establish the existence of any sequence generated by the Newton-like method and prove that the sequence generated by this method converges linearly and superlinearly to a solution of the variational inclusion. Specifically, when the Frechet derivative of the differentiable function is continuous, Lipschitz continuous, divided difference admissible function admits first order divided di_erence and the setvalued mapping is pseudo-Lipschitz continuous, we show the linear and superlinear convergence of the method. GANIT J. Bangladesh Math. Soc.Vol. 40 (2020) 43-53
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20

Iliasu, G. B., A. A. Kogo, and M. K. Yakubu. "Optimization of mechanical properties of chitosan/phenol formaldehyde composite." Bayero Journal of Pure and Applied Sciences 11, no. 1 (November 5, 2018): 229–35. http://dx.doi.org/10.4314/bajopas.v11i1.39.

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The Frechet distribution which has a scale and shape parameters, has been found to have wide application in modelling extreme events such as radioactive emission, flood, rainfall, seismic analysis, wind speed, etc. In this research paper, the Bayesian analysis of scale parameter of Frechet distribution was considered. It is necessary to know the best combination of prior distribution and loss function for the parameter estimation. Posterior distribution was derived by uniform and Jeffrey’s prior under the square error, Precautionary, Quadratic and Weighted balance loss function. Bayes estimation and their corresponding risk was obtained by the above stated priors and loss function. Monte Carlo simulations was conducted to compare the performance of the estimators. It is evident that weighted balance loss function when used with uniform prior provides the least posterior risk.Keywords: Frechet Distribution, Non-Informative Prior, Bayesian Estimation, Loss Functions, Monte Carlo Simulations
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21

Jokhadze, O. "Spatial Problem of Darboux Type for One Model Equation of Third Order." gmj 3, no. 6 (December 1996): 547–64. http://dx.doi.org/10.1515/gmj.1996.547.

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Abstract For a hyperbolic type model equation of third order a Darboux type problem is investigated in a dihedral angle. It is shown that there exists a real number ρ0 such that for α > ρ0 the problem under consideration is uniquely solvable in the Frechet space. In the case where the coefficients are constants, Bochner's method is developed in multidimensional domains, and used to prove the uniquely solvability of the problem both in Frechet and in Banach spaces.
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22

Nasiru, Suleman, Peter N. Mwita, and Oscar Ngesa. "Alpha Power Transformed Frechet Distribution �." Applied Mathematics & Information Sciences 13, no. 1 (January 1, 2019): 129–41. http://dx.doi.org/10.18576/amis/130117.

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23

Eftekharinasab, Kaveh, and Valentyna Petrusenko. "Finslerian geodesics on Frechet manifolds." SERIES III - MATEMATICS, INFORMATICS, PHYSICS 13(62), no. 1 (July 20, 2020): 129–52. http://dx.doi.org/10.31926/but.mif.2020.13.62.1.11.

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24

Shiell, Richard. "Update on the Frechet Extender." International Society of Hair Restoration Surgery 4, no. 1 (January 1994): 3.2–4. http://dx.doi.org/10.33589/4.1.3b.

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25

Norwood, O’Tar T. "Infection and the Frechet Extender." International Society of Hair Restoration Surgery 4, no. 2 (March 1994): 12.1–12. http://dx.doi.org/10.33589/4.2.0012.

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Shiell, Richard C. "Infection and the Frechet Extender." International Society of Hair Restoration Surgery 4, no. 4 (July 1994): 14.1–15. http://dx.doi.org/10.33589/4.4.0014.

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27

Ibrahim, Hager Ahmad. "Handle outliers for Frechet distribution." Journal of University of Shanghai for Science and Technology 23, no. 09 (September 18, 2021): 853–63. http://dx.doi.org/10.51201/jusst/21/09604.

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This paper aims to handle outlier data for Frechet distribution. This study focused on two ways to deal with outliers. The rst way is to censor the ob- servation with the same percentage of outlier data. The second way is to trim outlier observations. A Monte Carlo simulation study is carried out to compare these ways in terms of estimate average, relative bias, and root mean square error (RMSE) using Mathematica-10.
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28

Puig, Carlos J. "Frechet Triple Flaps—Additional Experience." American Journal of Cosmetic Surgery 15, no. 1 (March 1998): 17–20. http://dx.doi.org/10.1177/074880689801500105.

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It was the best of times and the worst of times. Indeed, when the Frechet Triple Flap procedure works, the patient attains a beautiful result with total crown closure. If however, the rotations are not perfectly accomplished, the slightest additional stress results in a tip necrosis, delayed wound healing, and possible dehiscence. Most of the author's problems with the procedure occurred early in the learning curve. Further consultation with Dr. Frechet and modification of flap sizes resulted in an abatement of complications. Problems with a recent case, where all appeared to go well during the extension and rotation procedures, once again emphasize the need for further investigation of the use of delayed random flaps. The satisfaction experienced by the patient when the procedure works without complications and Dr. Frechet's repeated success encourage the author to continue to work to overcome the problems he has experienced trying to duplicate Dr. Frechet's results.
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29

Uglanov, A. V. "Surface integrals in Frechet spaces." Sbornik: Mathematics 189, no. 11 (December 31, 1998): 1719–37. http://dx.doi.org/10.1070/sm1998v189n11abeh000374.

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30

Shkarin, S. A. "Moments problem in Frechet spaces." Mathematical Notes 54, no. 1 (July 1993): 739–46. http://dx.doi.org/10.1007/bf01224368.

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31

Kostic, Marko. "F-hypercyclic operators on Fréchet spaces." Publications de l'Institut Math?matique (Belgrade) 106, no. 120 (2019): 1–18. http://dx.doi.org/10.2298/pim1920001k.

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We investigate F-hypercyclicity of linear, not necessarily continuous, operators on Frechet spaces. The notion of lower (mn)-hypercyclicity seems to be new and not considered elsewhere even for linear continuous operators acting on Frechet spaces. We pay special attention to the study of q-frequent hypercyclicity, where q > 1 is an arbitrary real number. We present several new concepts and results for lower and upper densities in a separate section, providing also a great number of illustrative examples and open problems.
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32

Sah, Satya Narayan. "Characterization of Frechet spaces with nuclear Kothe quotients." BIBECHANA 11 (May 10, 2014): 161–64. http://dx.doi.org/10.3126/bibechana.v11i0.10397.

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In this paper our result based on the characterization of Frechet spaces with nuclear Kothe quotients is in terms of the following condition which labeled as ?. We show that a Frechet spaces E satisfies condition ? if and only if it has a quotient which admits continuous norm and satisfies condition ?. For the condition ?, there exists ? such that for every k there exists j such that the ?. ?kclosure of E′? is not closed in E′j. DOI: http://dx.doi.org/10.3126/bibechana.v11i0.10397 BIBECHANA 11(1) (2014) 161-164
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33

Pich, Sabine, and Jurgen Schontges. "Freche Lieder, Liebe Lieder." Jahrbuch für Volksliedforschung 35 (1990): 145. http://dx.doi.org/10.2307/848197.

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34

Ogunde, Adebisi Ade, Gbenga Adelekan Olalude, Oyebimpe Emmanuel Adeniji, and Kayode Balogun. "Lehmann Type II Frechet Poisson Distribution: Properties, Inference and Applications as a Life Time Distribution." International Journal of Statistics and Probability 10, no. 3 (March 24, 2021): 8. http://dx.doi.org/10.5539/ijsp.v10n3p8.

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A new generalization of the Frechet distribution called Lehmann Type II Frechet Poisson distribution is defined and studied. Various structural mathematical properties of the proposed model including ordinary moments, incomplete moments, generating functions, order statistics, Renyi entropy, stochastic ordering, Bonferroni and Lorenz curve, mean and median deviation, stress-strength parameter are investigated. The maximum likelihood method is used to estimate the model parameters. We examine the performance of the maximum likelihood method by means of a numerical simulation study. The new distribution is applied for modeling three real data sets to illustrate empirically its flexibility and tractability in modeling life time data.
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Kirov, Nikolai K. "Generic Frechet Differentiability of Convex Operators." Proceedings of the American Mathematical Society 94, no. 1 (May 1985): 97. http://dx.doi.org/10.2307/2044959.

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36

Blei, Ron C. "An Extension Theorem Concerning Frechet Measures." Canadian Mathematical Bulletin 38, no. 3 (September 1, 1995): 278–85. http://dx.doi.org/10.4153/cmb-1995-041-0.

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AbstractAn F-measure on a Cartesian product of algebras of sets is a scalar-valued function which is a scalar measure independently in each coordinate. It is demonstrated that an F-measure on a product of algebras determines an F-measure on the product of the corresponding σ-algebras if and only if its Fréchet variation is finite. An analogous statement is obtained in a framework of fractional Cartesian products of algebras, and a measurement of p-variation of F-measures, based on Littlewood-type inequalities, is discussed.
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37

Metafune, G., and V. B. Moscatelli. "On Twisted Frechet and (LB)-Spaces." Proceedings of the American Mathematical Society 108, no. 1 (January 1990): 145. http://dx.doi.org/10.2307/2047706.

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38

Lindstrom, Mikael. "A Note on Frechet-Montel Spaces." Proceedings of the American Mathematical Society 108, no. 1 (January 1990): 191. http://dx.doi.org/10.2307/2047713.

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39

Dow, Alan. "Two Classes of Frechet-Urysohn Spaces." Proceedings of the American Mathematical Society 108, no. 1 (January 1990): 241. http://dx.doi.org/10.2307/2047719.

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40

Bhatia, Rajendra, and John Holbrook. "Frechet derivatives of the power function." Indiana University Mathematics Journal 49, no. 3 (2000): 0. http://dx.doi.org/10.1512/iumj.2000.49.1761.

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41

Hettlich, F. "Frechet derivatives in inverse obstacle scattering." Inverse Problems 11, no. 2 (April 1, 1995): 371–82. http://dx.doi.org/10.1088/0266-5611/11/2/007.

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42

Hettlich, Frank. "Frechet derivatives in inverse obstacle scattering." Inverse Problems 14, no. 1 (February 1, 1998): 209–10. http://dx.doi.org/10.1088/0266-5611/14/1/017.

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43

Esterle, Jean. "Countable inductive limits of frechet algebras." Journal d'Analyse Mathématique 71, no. 1 (December 1997): 195–204. http://dx.doi.org/10.1007/bf02788030.

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44

Ensor, Benjamin. "Mit frechen Online-Kampagnen zum Vertriebserfolg." Bankmagazin 56, no. 9 (September 2007): 38–39. http://dx.doi.org/10.1007/bf03230774.

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45

Kadets, V. M., and M. I. Kadets. "A normability condition for Frechet spaces." Mathematical Notes of the Academy of Sciences of the USSR 38, no. 1 (July 1985): 592–95. http://dx.doi.org/10.1007/bf01137474.

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46

Pirkovskii, A. Yu. "The problem of the existence of sufficiently many injective Frechet modules over non-normed Frechet algebras." Izvestiya: Mathematics 62, no. 4 (August 31, 1998): 773–88. http://dx.doi.org/10.1070/im1998v062n04abeh000194.

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47

SHKARIN, S. A. "WHITNEY'S TYPE THEOREMS FOR INFINITE DIMENSIONAL SPACES." Infinite Dimensional Analysis, Quantum Probability and Related Topics 03, no. 01 (March 2000): 141–60. http://dx.doi.org/10.1142/s021902570000008x.

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It is proved that for any f ∈ Ck(L,ℝ), where k ∈ ℕ and L is a closed linear subspace of a nuclear Frechét space X, the function f can be extended to a function of class Ck-1 defined on the entire space X. It is also proved that for any f ∈ Ck (L, ℝ), where k ∈ℕ∪{∞} and L is a closed linear subspace of a conjugate X of a nuclear Frechét space, the function f can be extended to a function of class Ck defined on the entire space X. In addition, it is proved that under these conditions, the existence of a linear extension operator is equivalent to the complementability of the subspace.
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48

Landi, Gregorio, and Giovanni E. Landi. "The Cramer—Rao Inequality to Improve the Resolution of the Least-Squares Method in Track Fitting." Instruments 4, no. 1 (January 4, 2020): 2. http://dx.doi.org/10.3390/instruments4010002.

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The Cramer–Rao–Frechet inequality is reviewed and extended to track fitting. A diffused opinion attributes to this inequality the limitation of the resolution of the track fits with the number N of observations. It will be shown that this opinion is incorrect, the weighted least squares method is not subjected to that N-limitation and the resolution can be improved beyond those limits. In previous publications, simulations with realistic models and simple Gaussian models produced interesting results: linear growths of the peaks of the distributions of the fitted parameters with the number N of observations, much faster than the N of the standard least-squares. These results could be considered a violation of a well-known 1 / N -rule for the variance of an unbiased estimator, frequently reported as the Cramer–Rao–Frechet bound. To clarify this point beyond any doubt, a direct proof of the consistency of those results with this inequality would be essential. Unfortunately, such proof is lacking. Hence, the Cramer–Rao–Frechet developments are applied to prove the efficiency (optimality) of the simple Gaussian model and the consistency of the linear growth. The inequality remains valid even for irregular models supporting the similar improvement of resolution for the realistic models.
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49

Mahi, Oussama. "Wasserleitung durch Spundwand führen." UmweltMagazin 49, no. 10-11 (2019): 39. http://dx.doi.org/10.37544/0173-363x-2019-10-11-39.

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Der Schutz vor Hochwasser muss gewährleistet sein, auch wenn eine Trinkwasserleitung durch eine Spundwand geführt läuft. Hier helfen Übergangskupplungen mit speziellen Dichtungen einer Firma aus Frechen.
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50

Will, Birgit. "Profilierung mit Transparenz." Lebensmittel Zeitung 74, no. 6 (2022): 38–39. http://dx.doi.org/10.51202/0947-7527-2022-6-038.

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Verbraucher wollen nachhaltiger konsumieren. Das setzt nachvollziehbare Informationen voraus. Die Biobranche will gezielt aufklären. Sie profiliert sich mit Fakten, eigenen Klimaprojekten und frecher Kommunikation. Birgit Will
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