Real Analysis II

نویسنده

  • John Loftin
چکیده

Many natural spaces of functions form infinite-dimensional vector spaces. Examples are the space of polynomials and the space of smooth functions. If we are interested in solving differential equations, then, it is important to understand analysis in infinite-dimensional vector spaces (over R or C). First of all, we should recognize the following straightforward fact about finite-dimensional vector spaces:

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Estimation for the Type-II Extreme Value Distribution Based on Progressive Type-II Censoring

In this paper, we discuss the statistical inference on the unknown parameters and reliability function of type-II extreme value (EVII) distribution when the observed data are progressively type-II censored. By applying EM algorithm, we obtain maximum likelihood estimates (MLEs). We also suggest approximate maximum likelihood estimators (AMLEs), which have explicit expressions. We provide Bayes ...

متن کامل

Study of Expression Level of Cartilage Genes in Rat Articular Chondrocyte Monolayer and 3D Cultures using Real Time PCR

Purpose: to compare the expression level of certain genes related to cartilage and non-cartilage tissues at monolayer and alginate cultures derived from rat articular cartilage. Materials and Methods: Articular cartilage was harvested from knee joints of 10 male rats and was digested using enzymatic solution consisting of 0.2% collagenase I and 0.1% pronase. Released chondrocyte were then plate...

متن کامل

Inference for the Type-II Generalized Logistic Distribution with Progressive Hybrid Censoring

This article presents the analysis of the Type-II hybrid progressively censored data when the lifetime distributions of the items follow Type-II generalized logistic distribution. Maximum likelihood estimators (MLEs) are investigated for estimating the location and scale parameters. It is observed that the MLEs can not be obtained in explicit forms. We provide the approximate maximum likelihood...

متن کامل

Removal of Mercury using Dibutyl-Disulfide Montmorillonite: Characterization of Adsorbent, Optimization, Isotherm, Kinetic and Real Samples Study

Dibutyl-Disulfide Montmorillonite (DD-MMT) was synthesized successfully and found to bean excellent adsorbent for Hg(II) removal. The fourier transform infrared spectroscopy (FTIR),x-ray diffraction spectrum (XRD) and scanning electron microscopy (SEM) were used tocharacterize properties of the absorbent. The effects of several parameters such as solutionpH, adsorbent dose, contact time and the...

متن کامل

Determination of Chromium(III) and Magnesium(II) Ions in Pharmacological and Real Water Samples using Potentiometric Sensors based on Chitosan Schiff base Derivative as Green and Sensitive Ionophore

In the study, novel and sensitive carbon paste electrodes (CPEs) developed for thepotentiometric measurement of Cr(III) and Mg(II) ions in pharmacological and water samples.CPEs as indicator electrodes were prepared from a mixture of four components, includinggraphite powder, paraffin oil, multi-walled carbon nanotubes (MWCNTs), and a greenionophore (Chitosan Schiff base...

متن کامل

New Coated Graphite Potentiometric Sensor for Selective Determination of Copper (II) Ions

A highly selective copper (II) coated graphite sensor was prepared by 1,13-bis(8-quinolyl)- 1,4,7,10,13-pentaoxatridecane (kryptofix 5) as a supramolecule ionophore into plasticized polyvinyl chloride (PVC) membrane. The best response characteristic was observed using the membrane composition of PVC = 30.0 mg, dioctyl sebacate (DOS) = 63.5 mg, palmitic acid (PA) = 3.0 mg and kryptofix 5 = 3.5 m...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013