3D Euler deconvolution: Theoretical basis for automatically selecting good solutions

Geophysics ◽  
2003 ◽  
Vol 68 (6) ◽  
pp. 1962-1968 ◽  
Author(s):  
João B. C. Silva ◽  
Valéria C. F. Barbosa
Keyword(s):  
Magnetic Anomaly ◽  
Theoretical Basis ◽  
Source Location ◽  
The Other ◽  
Euler Deconvolution ◽  
Data Window ◽  
Other Hand ◽  
3D Euler Deconvolution ◽  
Structural Indices ◽  
Derivatives Of

We derive the analytical estimators for the horizontal and vertical source positions in 3D Euler deconvolution as a function of the x‐, y‐, and z‐derivatives of the magnetic anomaly within a data window. From these expressions we show that, in the case of noise‐corrupted data, the x‐, y‐, and z‐coordinate estimates computed at the anomaly borders are biased toward the respective horizontal coordinate of the data window center regardless of the true or presumed structural indices and regardless of the magnetization inclination and declination. On the other hand, in the central part of the anomaly, the x‐ and y‐coordinate estimates are very close to the respective source horizontal coordinates regardless of the true or presumed structural indices and regardless of the magnetization inclination and declination. This contrasting behavior of the horizontal coordinate estimates may be used to automatically delineate the region associated with the best solutions. Applying the Euler deconvolution operator inside this region would decrease the dispersion of all position estimates, improving source location precision.

scholarly journals II. Compounds isomeric with the sulphocyanic ethers.—I. On the mustard oil of the ethyl series

1868 ◽  
Vol 16 ◽  
pp. 254-258
Keyword(s):  
Royal Society ◽  
The Other ◽  
Mustard Oil ◽  
Other Hand ◽  
Derivatives Of

The results of my researches on the chloroform-derivatives of the primary monamines, which, as I have shown, are isomeric with the nitriles, could not fail to direct my attention to allied groups of bodies, with the view of discovering similar isomerisms. In a note communicated to the Royal Society some months ago, I expressed the expectations which even then appeared to be justified in the following manner:—“In conclusion, I may be permitted to announce as everv probable the existence of a series of bodies isomeric with the sulphocyanides. Already M. Cloëz has shown that the action of chloride of cyanogen on ethylate of potassium gives rise to the formation of an ethylic cyanate possessing properties absolutely different from those belonging to the cyanate discovered by M. Wurtz. On comparing, on the other hand the properties of the methylic and ethylic sulphocyamdes with those of the sulphocyanides of allyl and phenyl, it can scarcely be doubted that we have here the representatives of two groups entirely different, and that the terms of the methyl- and ethyl-series which correspond to oil of mustard, and to the sulphocyanide of phenyl, still remain to be discovered. Experiments with which I am now engaged will show whether these bodies cannot be obtained by the action of the iodides of methyl and ethyl on sulphocyanide of silver."

Application of Maple on Solving the Differential Problem of Rational Functions

2013 ◽  
Vol 479-480 ◽  
pp. 855-860
Author(s):  
Chii Huei Yu
Keyword(s):  
Problem Solving ◽  
Research Methods ◽  
Research Method ◽  
Rational Functions ◽  
The Other ◽  
Mathematical Software ◽  
Differential Problem ◽  
Binomial Theorem ◽  
Other Hand ◽  
Derivatives Of

This paper uses the mathematical software Maple as the auxiliary tool to study the differential problem of four types of rational functions. We can obtain the closed forms of any order derivatives of these rational functions by using binomial theorem. On the other hand, we propose four examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions by using Maple. This type of research method not only allows the discovery of calculation errors, but also helps modify the original directions of thinking from manual and Maple calculations. For this reason, Maple provides insights and guidance regarding problem-solving methods.

Arylhydrazonothiazolidinones: Ring Cleavage and Alkylation of the 5-Arylhydrazono Derivatives of Rhodanine and Isorhodanine

1979 ◽  
Vol 34 (3) ◽  
pp. 507-510 ◽  
Author(s):  
Nazmi A. Kassab ◽  
Sanaa O. Abd Allah ◽  
Said A. Elbahaii
Keyword(s):  
Hydrazine Hydrate ◽  
The Other ◽  
Ring Cleavage ◽  
Ethyl Bromoacetate ◽  
Other Hand ◽  
Alkyl Derivatives ◽  
Derivatives Of

Abstract The 5-arylhydrazono derivatives of rhodanine and isorhodanine were subjected to the action of hydrazine hydrate to afford the arylhydrazonomercaptomethyl-triazolinones (3) and -triazolinthiones (3) respectively. Treatment of 1 with benzylamine afforded thioxalic acid dibenzylamide (5). On the other hand treatment of 2 with the same reagent afforded the corresponding benzylimino derivatives (6).Alkylation of 1 and 2 with ethyl bromoacetate and chloroacetamide yielded the corresponding S-alkyl derivatives (7) and (8), respectively.

Reënforcement of Rubber by Fillers

1929 ◽  
Vol 2 (1) ◽  
pp. 21-31
Author(s):  
John T. Blake
Keyword(s):  
Fatty Acids ◽  
Theoretical Basis ◽  
Polar Compounds ◽  
The Other ◽  
Rubber Matrix ◽  
Double Integral ◽  
Other Hand ◽  
Sound Theoretical Basis ◽  
Volume Range

Abstract Wiegand's “Δ A” function, as represented by the double integral of tensile with respect to elongation and volume of a pigment over the base mix, is a practical means of expressing the reënforcing effect of the filler. On the other hand, the volume range over which the bonding of the filler is greater than the strength of the rubber matrix gives a better understanding of the condition of the filler in the rubber. Apparently, the importance of fatty acids and other polar compounds in dispersions can be put on a sound theoretical basis.

Polyhedral boron derivatives of porphyrins and phthalocyanines

2001 ◽  
Vol 05 (11) ◽  
pp. 767-781 ◽  
Author(s):  
VLADIMIR I. BREGADZE ◽  
IGOR B. SIVAEV ◽  
DETLEF GABEL ◽  
DIETER WÖHRLE
Keyword(s):  
Neutron Capture ◽  
Tumor Therapy ◽  
The Other ◽  
Medical Applications ◽  
Neutron Capture Therapy ◽  
Current Interest ◽  
Boron Compounds ◽  
Other Hand ◽  
The One ◽  
Derivatives Of

The synthesis of compounds containing polyhedral boron cages and porphyrin or phthalocyanine units connected covalently in one molecule is reviewed. The importance of these compounds arises, on the one hand, from the use of polyhedral boron derivatives in neutron capture therapy for cancer; on the other hand, porphyrins and phthalocyanines are known as photosensitizers in photodynamic tumor therapy. Current interest in the binding of polyhedral boron compounds to porphyrins and phthalocyanines is due to the observation that porphyrins and phthalocyanines show improved uptake and good persistence in tissues. Medical applications of compounds containing polyhedral boron cages and porphyrin or phthalocyanine units in one molecule are briefly discussed.

scholarly journals Charge transfer control by substituents: Donor pyrroles and fluoro-anilines

2005 ◽  
Vol 7 (3) ◽  
pp. 121-124 ◽  
Author(s):  
Antje Neubauer ◽  
Sukumaran Murali ◽  
Wolfgang Rettig
Keyword(s):  
Charge Transfer ◽  
Benzene Ring ◽  
The Other ◽  
Substituted Benzenes ◽  
Other Hand ◽  
Alkane Solvents ◽  
New Compounds ◽  
Derivatives Of ◽  
Acceptor Moiety ◽  
Donor Substituent

Derivatives of N-phenyl pyrrole with a para-donor substituent on the acceptor benzene ring are compared. It is shown that by a suitable increase of the donor strength of the pyrrolo group, CT fluorescence can be achieved even for donor-donor substituted benzenes. On the other hand, introducing fluoro substituents into the acceptor moiety strongly enhances the CT formation tendency, and several new compounds with CT fluorescence even in alkane solvents are presented.

scholarly journals Propuesta de metodología para el cálculo de los parámetros fundamentales del sistema de limpieza de las cosechadoras de cereales

2017 ◽  
Vol 4 (1) ◽  
pp. 141-145
Author(s):  
Idalberto Macías Socarrás ◽  
Benjamín Gaskin Espinosa ◽  
Antonio Barrera Amat ◽  
Lenni Ramírez Flores ◽  
Mercedes Arzube Mayorga
Keyword(s):  
Theoretical Basis ◽  
The Other ◽  
Agricultural Machinery ◽  
Cleaning System ◽  
Agricultural Mechanization ◽  
Other Hand ◽  
Agricultural Sciences ◽  
The Subject ◽  
Important System

El presente trabajo recoge, de forma resumida, una propuesta de metodología para el cálculo de los principales parámetros del sistema de limpieza de las cosechadoras de cereales; la misma para su mejor comprensión se divide en tres partes fundamentales: parámetros del sacudidor de paja, parámetros de la superficie de limpieza o tamiz y parámetros principales del ventilador. La fundamentación teórica de esta metodología, ayudará a una mejor comprensión del funcionamiento de este importante sistema para estudiantes y especialistas del tema. Consecuentemente,  constituye una herramienta de trabajo para los estudiantes de las carreras de las ciencias técnicas agropecuarias, para solución de tareas relacionadas con la mecanización agropecuaria y teoría de máquinas agrícolas. AbstractThe present paper summarizes a proposal for a methodology for the calculation of the main parameters of the cleaning system of grain harvesters; the same for its better understanding is divided in three fundamental parts: parameters of the straw shaker, parameters of the cleaning surface or sieve and main parameters of the fan. The theoretical basis of this methodology will help a better understanding of the functioning of this important system for students and specialists in the subject. On the other hand, it is a working tool for the students of agricultural sciences, to solve tasks related to agricultural mechanization and agricultural machinery theory.  

scholarly journals Theory of the Icon of Christos Yannaras

2021 ◽  
Vol 4 ◽  
pp. 64-69
Author(s):  
Tina Mosiakina
Keyword(s):  
The Other ◽  
Surrounding World ◽  
Other Hand ◽  
The Aesthetic ◽  
Theological Thought ◽  
Derivatives Of ◽  
The Erotic

The article regards the phenomenon of the icon in the interpretation of Greek theologian and philosopher Christos Yannaras. His work Personality and Eros is taken as a basis, where the author describes this phenomenon, based on a thorough body of works of Orthodox thought.The icon is primarily considered not only as a model of reality, reflection or image of events and objects, or allegory-allegory; attention is focused on the icon as a category of cognition. The study traces the conditions of functioning of the iconological language, as well as its connection with apophatic and cataphatic theological thought. The specifics of the poetics of the iconological language are also revealed, aiming at both concealment and elucidation of the truth.An attempt is also made to transfer the theory of the icon to the anthropological plane, in accordance with the erotic gesture of self-denial. The focus is on the aesthetic component of the iconic perception not only of icons but also of other phenomena of art or the surrounding world. Thus, owing to the derivatives of the theory of the icon, the analysis of art in the anthropological plane is carried out.Possible types of reduction of the iconological language according to the function of the icon as a means of cognition are also revealed. In this regard, the significance of the so-called ‘theology of assimilation’ and its possible connection with the moralistic reduction in the interpretation of Ch. Yannaras are analyzed. On the other hand, aesthetic reduction is also described, which, in turn, has the ability to provoke iconoclastic resistance.Thus, the aim of the work is to study the phenomenon of the icon as a category of knowledge in the works of Ch. Yannaras, as well as to consider the icon and the iconological language in their connection with issues of the aesthetic and anthropological nature.

Set-theoretical basis for real numbers

1950 ◽  
Vol 15 (4) ◽  
pp. 241-247
Author(s):  
Hao Wang
Keyword(s):  
Upper Bound ◽  
Theoretical Basis ◽  
The Other ◽  
Real Numbers ◽  
Full Generality ◽  
Ordered Field ◽  
Other Hand

In [1] we have considered a certain system L and shown that although its axioms are considerably weaker than those of [2], it suffices for purposes of the topics covered in [2]. The purpose of the present paper is to consider the system L more carefully and to show that with suitably chosen definitions for numbers, the ordinary theory of real numbers is also obtainable in it. For this purpose, we shall indicate that we can prove in L a certain set of twenty axioms used by Tarski which are sufficient for the arithmetic of real numbers and are to the effect that real numbers form a complete ordered field. Indeed, we cannot prove in L all Tarski's twenty axioms in their full generality. One of them, stating in effect that every bounded class of real numbers possesses a least upper bound, can only be proved as a metatheorem which states that every bounded nameable class of real numbers possesses a least upper bound. However, all the other nineteen axioms can be proved in L without any modification.This result may be of some interest because the axioms of L are considerably weaker than those commonly employed for the same purpose. In L variables need to take as values only classes each of whose members has no more than two members. In other words, only classes each with no more than two members are to be elements. On the other hand, it is usual to assume for the purpose of natural arithmetic that all finite classes are elements, and, for the purpose of real arithmetic, that all enumerable classes are elements.

Nucleoside Derivatives of 1,2,4-Triazine Reaction of Some Derivatives of 1,2,4-Triazine with Tetra-O-acetyl-α-D-glucopyranosyl Bromide

1976 ◽  
Vol 31 (4) ◽  
pp. 505-508 ◽  
Author(s):  
A. K. Mansoub ◽  
Y. A. Ibrahim ◽  
M. M. Eid
Keyword(s):  
Pyruvic Acid ◽  
The Other ◽  
Ethyl Iodide ◽  
Other Hand ◽  
Derivatives Of

4,6-Diphenyl-, 6-phenyl-4-p-tolyl- and 6-styryl-4-phenyl-3-thioxo-5-oxo-2,3,4,5-tetrahydro-1,2,4-triazines (1 a-c) react with tetra-0-acetyl-α-D-glucopyranosyl bromide (2) to give the corresponding 2-tetra-0-acetyl-B-D-glucopyranosyl derivatives (4a-c), respectively. Oxidation of 4a with H2O2 gives the 3,5-dioxo derivative (7). On the other hand deacetylation of 4a affords 2-B-D-glucopyranosyl-4,6-diphenyl-3-thioxo-5-oxo-2,3,4,5-tetrahydro-1,2,4-triazine (8). Furfurylidene pyruvic acid condenses with 4-phenylthiosemicarbazide to give 6-furfurylidene-4-phenyl-3-thioxo-5-oxo-2, 3, 4, 5-tetrahydro-1, 2, 4-triazine (1d). 1d reacts with ethyl iodide to give the 3-ethylmercapto derivative (9), and reacts with 2 to give 4d.

Sign in / Sign up

Export Citation Format

Share Document