作者: semble 時(shí)間: 2025-3-21 20:36
Relations and Databases,present some of the general properties of relations and their operations, as well some special types of relations defined over the same set. A good command of these basic notions is essential for understanding the relational database theory, where a relation is a set of tuples . and each element . i作者: Feedback 時(shí)間: 2025-3-22 00:24 作者: 細(xì)絲 時(shí)間: 2025-3-22 06:15
Boolean Algebra, Logic and Quantifiers,ich have the truth values true and false (sometimes denoted 1 and 0 respectively). In this chapter the main operations of Boolean algebra (conjunction (AND, .), disjunction (OR, .) and negation (NOT, .)) are defined, and statements involving logical variables are studied with the aid of truth tables作者: paleolithic 時(shí)間: 2025-3-22 11:31 作者: Trochlea 時(shí)間: 2025-3-22 16:30 作者: Trochlea 時(shí)間: 2025-3-22 20:44
Matrices and Applications,eralisations of vectors and play a key role in many mathematical areas such as linear algebra or computer graphics (where they are used to define linear transformations). In this chapter we define matrices and illustrate their properties through examples. We then present some basic matrix operations作者: 孵卵器 時(shí)間: 2025-3-23 01:08
Matrix Applications in Computer Graphics,ices allow arbitrary linear transformations to be represented in a consistent format (. for some . (or .) matrix ., called the transformation matrix of T), suitable for computation. This format allows transformations to be conveniently combined with each other by multiplying their matrices. In this 作者: 抑制 時(shí)間: 2025-3-23 04:51
Elements of Graph Theory,lem was the famous Konigsberg Problem solved by Leonhard Euler. He proposed a model which reduced the problem to a schematic diagram and then concluded that the graph needed to satisfy some general conditions for the problem to be solved affirmatively. His studies highlighted the importance of under作者: 粗野 時(shí)間: 2025-3-23 08:28
Elements of Number Theory and Cryptography, emerged from the need of solving more complicated equations. However, numerous fundamental (some still unanswered) questions in mathematics refer to prime numbers and their properties (Goldbach conjecture, Rieman hypothesis). Cryptography studies techniques for a secure communication in the presenc作者: commune 時(shí)間: 2025-3-23 10:37
Elements of Calculus,re. The major branches of Calculus are differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under curves), linked together through the Fundamental Theorem of Calculus. In this Chapter we present some key e作者: 鑒賞家 時(shí)間: 2025-3-23 16:29 作者: Substance 時(shí)間: 2025-3-23 18:58 作者: 細(xì)查 時(shí)間: 2025-3-24 00:30
https://doi.org/10.1007/978-90-481-9295-3 Calculus. Operations involving sets play a key role in many applications and sets of numbers have been created for solving numerous problems inspired from real life. In this chapter we present some of the key concepts in the theory of sets such as basic set operations, Venn diagrams, set cardinals and motivations for the number systems.作者: 混合物 時(shí)間: 2025-3-24 05:03 作者: 豐富 時(shí)間: 2025-3-24 10:22 作者: hyperuricemia 時(shí)間: 2025-3-24 11:21
https://doi.org/10.1007/978-90-481-9295-3 Calculus. Operations involving sets play a key role in many applications and sets of numbers have been created for solving numerous problems inspired from real life. In this chapter we present some of the key concepts in the theory of sets such as basic set operations, Venn diagrams, set cardinals 作者: PATHY 時(shí)間: 2025-3-24 17:54 作者: 星星 時(shí)間: 2025-3-24 21:35
Kenneth J. Clemetson,R. Manjunatha Kinifunction. Functions can be defined by a formula or algorithm that indicates how to compute the output for the given input. Sometimes they are given by a picture (called the graph of the function), or by a table of values. In this chapter functions are introduced as relations which link every input f作者: Encumber 時(shí)間: 2025-3-25 00:24
A. Moran,Z. Korchak,N. Moran,N. Primorich have the truth values true and false (sometimes denoted 1 and 0 respectively). In this chapter the main operations of Boolean algebra (conjunction (AND, .), disjunction (OR, .) and negation (NOT, .)) are defined, and statements involving logical variables are studied with the aid of truth tables作者: 寒冷 時(shí)間: 2025-3-25 06:44 作者: LANCE 時(shí)間: 2025-3-25 08:03 作者: 滋養(yǎng) 時(shí)間: 2025-3-25 12:56
Transfer Changes in Fish Gills During Stresseralisations of vectors and play a key role in many mathematical areas such as linear algebra or computer graphics (where they are used to define linear transformations). In this chapter we define matrices and illustrate their properties through examples. We then present some basic matrix operations作者: Generic-Drug 時(shí)間: 2025-3-25 17:07
https://doi.org/10.1007/978-3-642-69903-0ices allow arbitrary linear transformations to be represented in a consistent format (. for some . (or .) matrix ., called the transformation matrix of T), suitable for computation. This format allows transformations to be conveniently combined with each other by multiplying their matrices. In this 作者: 暫時(shí)休息 時(shí)間: 2025-3-25 23:03 作者: EVEN 時(shí)間: 2025-3-26 03:44 作者: 掙扎 時(shí)間: 2025-3-26 04:32
,Staat?– Gesellschaft?– Individuum,re. The major branches of Calculus are differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under curves), linked together through the Fundamental Theorem of Calculus. In this Chapter we present some key e作者: 單調(diào)性 時(shí)間: 2025-3-26 12:19
Sonstige organische Verbindungentoo complicated for any practical use. In this case one has to rely on a wide range of numerical methods, which very often represent approximations to the real results. These methods are very important in practice and usually offer both an algorithm generating increasingly exact approximations and a作者: scotoma 時(shí)間: 2025-3-26 12:44 作者: fiscal 時(shí)間: 2025-3-26 19:26 作者: 可以任性 時(shí)間: 2025-3-26 22:43 作者: insurrection 時(shí)間: 2025-3-27 02:18 作者: Tonometry 時(shí)間: 2025-3-27 07:03
Normal Forms, Proof and Argument,al definition and derivation of d.n.f and c.n.f, along with some deduction rules. We then present some popular arguments such as the proof by contradiction, the proof by induction and the pigeonhole principle.作者: NOVA 時(shí)間: 2025-3-27 12:37
Matrices and Applications, such as addition and multiplication, as well as the determinant and inverse of square matrices. Finally, matrices are used for solving systems of linear equations. These results prepare the introduction of matrix based linear transformations in computer graphics, discussed in the next chapter.作者: exclamation 時(shí)間: 2025-3-27 15:22
Matrix Applications in Computer Graphics,chapter we first use matrices to represent points, lines and polygons. We then discuss in detail some linear transformations such as translation, scaling, rotation, reflections and shearing in 2D, and examine how transformations can be concatenated using matrix multiplication. 作者: 吸引人的花招 時(shí)間: 2025-3-27 21:00 作者: 聰明 時(shí)間: 2025-3-27 22:23
Elementary Numerical Methods,n approximation for the error. In this chapter we shall discuss the Lagrange polynomial for interpolation data given by a table of values, basic iterative methods used for the numerical integration of real functions and some iterative methods for root finding.作者: 食道 時(shí)間: 2025-3-28 02:09
Zusammenfassung: Unser Beitrag zur Debatte,and number theory. In this chapter we present basic elements of number theory including prime numbers, divisibility, Euler’s totient function and modulo arithmetic, which are used to describe the Caesar cypher and the RSA algorithm.作者: Palatial 時(shí)間: 2025-3-28 10:09 作者: CRAMP 時(shí)間: 2025-3-28 13:52
Book 2013oblems (which are direct applications of the theory) and additional supplementary problems (which may require a bit more work). Each chapter ends with answers or worked solutions for all of the problems..作者: 壁畫(huà) 時(shí)間: 2025-3-28 15:46 作者: KEGEL 時(shí)間: 2025-3-28 20:21
Boolean Algebra, Logic and Quantifiers, (AND, .), disjunction (OR, .) and negation (NOT, .)) are defined, and statements involving logical variables are studied with the aid of truth tables and Venn diagrams. Useful formulae involving logical variables are then discussed (De Morgan’s laws), along with the existential and universal quantifiers and their negation.作者: Throttle 時(shí)間: 2025-3-29 02:52
Kenneth J. Clemetson,R. Manjunatha Kinirom a given set to a unique output from another set. We then present some basic properties, examples and operations involving functions, along with applications based on set numbers, data structures and polynomials.作者: geriatrician 時(shí)間: 2025-3-29 05:30 作者: Comprise 時(shí)間: 2025-3-29 09:50 作者: 支形吊燈 時(shí)間: 2025-3-29 15:25 作者: irreparable 時(shí)間: 2025-3-29 17:48
,Staat?– Gesellschaft?– Individuum,lements of Calculus such as sequences, limits, convergence, as well as definitions and rules for the differentiation and integration of basic functions such as polynomials and basic trigonometric functions.作者: 完成才能戰(zhàn)勝 時(shí)間: 2025-3-29 19:47 作者: 打算 時(shí)間: 2025-3-30 02:53
J. M. Bouquegneau,M. Martoja,M. Truchetbers in algebraic (vectors having one real and one imaginary component in the Argand diagram) and polar (vectors having radius and argument) form of are then presented, along with some of key operations and results.作者: Cholagogue 時(shí)間: 2025-3-30 05:12 作者: adumbrate 時(shí)間: 2025-3-30 08:30
Vectors and Complex Numbers,bers in algebraic (vectors having one real and one imaginary component in the Argand diagram) and polar (vectors having radius and argument) form of are then presented, along with some of key operations and results.
