Kita Sadakichi’s Historical Geography: An Analysis of His Unpublished Lecture Records and Lecture Notes

Factors affecting students tendency of Univercity students to Lecture Notes

Introduction: Many studies detected factors contributing to the students’ tendency to lecture notes. This study aimed at evaluating the factors affecting students tendency to lecture notes in Hormozgan University of Medical Sciences. Methods: In this descriptive study, 179 students from medicine, nursing & midwifery, health, and Paramedicine schools were selected through stratified random...

Lecture Notes on Geometric Analysis

§0 Introduction §1 First and Second Variational Formulas for Area §2 Bishop Comparison Theorem §3 Bochner-Weitzenböck Formulas §4 Laplacian Comparison Theorem §5 Poincaré Inequality and the First Eigenvalue §6 Gradient Estimate and Harnack Inequality §7 Mean Value Inequality §8 Reilly’s Formula and Applications §9 Isoperimetric Inequalities and Sobolev Inequalities §10 Lower Bounds of Isoperime...

Lecture Notes in Functional Analysis

1.1. Introducton to Banach Spaces Definition 1.1. Let X be a K–vector space. A functional p ∶ X → [0,+∞) is called a seminorm, if (a) p(λx) = ∣λ∣p(x), ∀λ ∈ K, x ∈X, (b) p(x + y) ≤ p(x) + p(y), ∀x, y ∈X. Definition 1.2. Let p be a seminorm such that p(x) = 0 ⇒ x = 0. Then, p is a norm (denoted by ∥ ⋅ ∥). Definition 1.3. A pair (X, ∥ ⋅ ∥) is called a normed linear space. Lemma 1.4. Each normed sp...

Lecture Notes in Real Analysis

Electron Microprobe Analysis Lecture Notes

The electron microprobe provides a complete micrometer-scale quantitative chemical analysis of inorganic solids. The method is nondestructive and utilizes characteristic Xrays excited by an electron beam incident on a flat surface of the sample. This course provides an introduction to the theory of X-ray microanalysis through wavelength and energy dispersive spectrometry (WDS and EDS), ZAF matr...