# Mathematics

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• ### Water level prediction at Tich Bui rivers using guided regularized random forests

Three main approaches have been generally proposed to the flood forecasting including: i) physical models, ii) statistical models and iii) data-driven models. The first approaches, also called hydraulic models, aims to reproduce the hydrological processes in a physically realistic manner and is based on mathematical formulas of conservation of mass, momentum and energy.

• ### Teaching methods for mathematical symbols for the preschool education faculty of Hanoi University of Education

This familiarity partialy contributes in improving students’ health in terms of emotion. To help students process an enormous amount of knowledge and new skills in a limited amount of time, teachers need to promote creativity in their teaching methods, in accordance with lesson content, the conditions of teaching and studying, the ability of teachers, and the ability of students to acquire knowledge.

• ### Ebook Introduction to Data Compression (Third edition): Part 1 - Khalid Sayood

Part 1 of book "Introduction to Data Compression (Third edition)" provide with knowledge about: introduction; mathematical preliminaries for lossless compression; huffman coding; arithmetic coding; dictionary techniques; context-based compression; lossless image compression; mathematical preliminaries for lossy coding; scalar quantization; vector quantization;...

• ### Ebook Introduction to Data Compression (Third edition): Part 2 - Khalid Sayood

Continued part 1, part 2 of book "Introduction to Data Compression (Third edition)" provide with knowledge about: differential encoding; mathematical preliminaries for transforms, subbands, and wavelets; transform coding; subband coding; wavelet-based compression; audio coding; analysis/synthesis and analysis by synthesis schemes; video compression; probability and random processes;...

• ### Ebook Searching multimedia databases by content: Part 2 - Christos Faloutsos

Continued part 1, part 2 of book "Searching multimedia databases by content" provide with knowledge about: indexing signals; problem – intuition; 1-D time sequences; 2-D color images; sub-pattern matching; fastmap; mathematical toolbox;...

• ### Selection of appropriate mathematical models to simulate sediment flow and reservoir sedimentation

This paper will review the existing popular mathematical models available to predict sediment flow to a reservoir. The study shows that existing models can successfully simulate reservoir sedimentation, however, each model has limitations and depending on the problem scope and complexity and data availability they require good understanding and judgment to choose an appropriate model.

• ### Ebook Pattern Recognition and Machine Learning: Part 1 - Christopher M. Bishop

This new textbook "Pattern Recognition and Machine Learning" reflects these recent developments while providing a comprehensive introduction to the fields of pattern recognition and machine learning. It is aimed at advanced undergraduates or first year PhD students, as well as researchers and practitioners, and assumes no previous knowledge of pattern recognition or machine learning concepts. Please refer to the content of part 1 of book.

• ### Ebook A Practical Introduction to: Data Structures and Algorithm Analysis (Third Edition - Java Version) - Part 1

Part 1 of book "A Practical Introduction to: Data Structures and Algorithm Analysis (Third Edition - Java Version)" provide with knowledge about: preliminaries; data structures and algorithms; mathematical preliminaries; algorithm analysis; fundamental data structures; lists, stacks, and queues; binary trees; non-binary trees; sorting and searching; internal sorting; file processing and external sorting;...

• ### Ebook A practical introduction to: Data Structures and Algorithm Analysis (Edition 3.2 - C++ Version) - Part 1

Part 1 of book "A practical introduction to: Data Structures and Algorithm Analysis (Edition 3.2 - C++ Version)" provide students with knowledge about: preliminaries; data structures and algorithms; mathematical preliminaries; algorithm analysis; fundamental data structures; lists, stacks, and queues; binary trees; non-binary trees; sorting and searching; internal sorting; file processing and external sorting;...

• ### Some new identities on the conic sections

In mathematics, a conic section (or just conic) is a curve obtained as the intersection of a cone (more precisely, a right circular conical surface) with a plane. In this paper "Some new identities on the conic sections", we construct some new identities and proposed the concept of the power of a point with respect to a conic.

• ### Global existence and long-time behavior of solutions to a class of degenerate parabolic equations

The understanding of the asymptotic behavior of dynamical systems is one of the most important problems of modern mathematical physics. One way to attack the problem for a dissipative dynamical system is to consider its global attractor. This is an invariant set that attracts all the trajectories of the system. In the paper "Global existence and long-time behavior of solutions to a class of degenerate parabolic equations" we study the following semilinear degenerate parabolic equation with variable.

• ### Applications of Google OR-Tools in solving construction management linear optimization problems

The study "Applications of Google OR-Tools in solving construction management linear optimization problems" demonstrates the application of Google OR-Tools as a powerful, easy-to-use, and open source software suite in tackling linear programs. Herein, this open source tool has been integrated with Visual C# programming and the optimization models are formulated in Microsoft Visual Studio. Two optimization case studies are used in this study to illustrate the implementation of the Google OR-Tools.

• ### Degradation kinetics of chlorophyll pigments in dried leaves of Polyscias fruticosa (L.) harms during storage

Chlorophyll is well-known as the only natural green pigment that owns high biological values with an enormous amount worldwide. In this study, the experiment was designed to a two-level factorial design with three factors, including storage temperature (4 and 28oC), level of light (with or without light transmission through the package), and level of oxygen (high and low oxygen concentration in package).

• ### Master thesis in Mathematics: Galois cohomology and its applications in the embedding problem

In the first chapter, we introduce the concept of profinite groups and study their basic properties; We define cohomology groups and investigate their functorial properties; Then we introduce Galois descent and give a correspondence between equivalence classes of twisted forms and cohomology classes under some conditions which will be described explicitly.

• ### An investigation into the lexical density and readability of Non-English majored first-year students’ writing at Hanoi National University of Education

The principal objective of this investigation "An investigation into the lexical density and readability of Non-English majored first-year students’ writing at Hanoi National University of Education" is to evaluate the lexical density and readability in the writings of first-year Mathematics-majored students with dual major in English at Hanoi National University of Education. The study shows that students can only achieve the average level of both lexical density and readability, which suggests that they need to enhance their writing skills with more complex grammar and vocabulary.

• ### On the second main theorem for holomorphic curves into linear projective subspace

Value distribution theory for holomorphic curves which also known as Nevanlinna-Cartan theory was originated by the work of H. Cartan in 1933. Since that time, it had attracted the attention of many mathematicians and had many important publications and it had many applications in different areas of mathematics.

• ### Lecture Human-computer interaction (3rd) - Chapter 17: Models of the system

Chapter 17 describes the use of general mathematical notations used in software engineering to specify and analyze abstract descriptions of interactive systems. In the previous chapter we looked at the specification of dialog. In this chapter we will look at ways of modeling the semantics of an interactive system. The dialog just tells us about what user actions are legal at any point, but here we will be interested in what the user’s actions do to the system.

• ### Lecture Introduction to Control Systems - Chapter 2: Mathematical models of continuous control systems (Dr. Huynh Thai Hoang)

Lecture Introduction to Control Systems - Chapter 2: Mathematical models of continuous control systems (Dr. Huynh Thai Hoang). The main topics covered in this chapter include: the concept of mathematical model; the concept of mathematical model; transfer function; block diagram algebra Block diagram algebra; signal flow graph; state space equation State space equation; linearized models of nonlinear systems;...

• ### Maximal concurrent minimal cost flow problems on extended multi cost and multi-commodity networks

The graph is a great mathematical tool, which has been effectively applied to many fields such as economy, informatics, communication, transportation, etc. It can be seen that in an ordinary graph the weights of edges and vertexes are taken into account independently where the length of a path is the sum of weights of the edges and the vertexes on this path.

• ### Advanced Algorithms Analysis and Design - Lecture 2: Mathematical Tools for Design and Analysis of Algorithms

Advanced Algorithms Analysis and Design - Lecture 2: Mathematical Tools for Design and Analysis of Algorithms. In this lecture we will cover the following a sequence of mathematical tools include: sets, sequences, order pairs, cross product, relation, functions, operators over above structures, conclusion,...