作者: Insubordinate 時間: 2025-3-21 23:18
https://doi.org/10.1007/978-3-0348-0622-0quaternion analysis; quaternion elementary functions; quaternion matrices; quaternion operations; quater作者: 反饋 時間: 2025-3-22 00:38
An Introduction to Quaternions,Once we start studying quaternionic analysis we take part in a wonderful experience, full of insights. This ideology is shown, for instance, when we start describing the first results and pursuing the subject, while the amazement lingers on through the elegance and smoothness of the results.作者: 谷物 時間: 2025-3-22 05:13
Quaternions and Spatial Rotation,The particularly rich theory of rotations does not need advertising. One can think of a rotation as a transformation in the plane or in space that describes the position and orientation of a three-dimensional rigid body around a fixed point. The first ever study of rotations was published by L. Euler in 1776.作者: 吸引人的花招 時間: 2025-3-22 10:56
Quaternion Series and Infinite Products,An essential feature of the classical theory of power series is that we can manipulate recurrence relations for power series without necessarily worrying about whether the underlying series converge. In case they do converge, we can extract important information about the recurrence relation that may not otherwise be easily obtainable.作者: 盲信者 時間: 2025-3-22 14:36
Exponents and Logarithms,The real exponential and logarithmic functions play an important role in advanced mathematics, including applications to calculus, differential equations, and complex analysis. In this chapter we use the properties of quaternions described in the previous chapters to define and study the quaternionic analogues of these functions.作者: 兩種語言 時間: 2025-3-22 19:21 作者: 載貨清單 時間: 2025-3-22 21:51 作者: 都相信我的話 時間: 2025-3-23 01:42
Textbook 2014rence work. With exercises at the end of each chapter and its straightforward writing style thebook addresses readers who have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis, ordinary differential equations, partial d作者: Spinous-Process 時間: 2025-3-23 08:59
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igpture both reductions and increments in environmental quality and natural resources. This first attempt to transfer environmental values seems to be the calculation of lost recreational value from the Hell’s Canyon hydroelectric project more than 30 years ago, as described by John V. Krutilla and An作者: LAPSE 時間: 2025-3-23 13:05 作者: 表主動 時間: 2025-3-23 17:41
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igpture both reductions and increments in environmental quality and natural resources. This first attempt to transfer environmental values seems to be the calculation of lost recreational value from the Hell’s Canyon hydroelectric project more than 30 years ago, as described by John V. Krutilla and An作者: 內(nèi)疚 時間: 2025-3-23 19:26 作者: heterodox 時間: 2025-3-24 02:04 作者: CON 時間: 2025-3-24 02:25
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igpture both reductions and increments in environmental quality and natural resources. This first attempt to transfer environmental values seems to be the calculation of lost recreational value from the Hell’s Canyon hydroelectric project more than 30 years ago, as described by John V. Krutilla and An作者: 伙伴 時間: 2025-3-24 07:29 作者: 消息靈通 時間: 2025-3-24 13:02 作者: Glower 時間: 2025-3-24 16:00 作者: Focus-Words 時間: 2025-3-24 22:07 作者: 治愈 時間: 2025-3-25 01:02 作者: OVER 時間: 2025-3-25 04:55
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igfirst attempt to transfer environmental values seems to be the calculation of lost recreational value from the Hell’s Canyon hydroelectric project more than 30 years ago, as described by John V. Krutilla and An978-90-481-7035-7978-1-4020-5405-1Series ISSN 1571-487X 作者: Epithelium 時間: 2025-3-25 11:24
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igfirst attempt to transfer environmental values seems to be the calculation of lost recreational value from the Hell’s Canyon hydroelectric project more than 30 years ago, as described by John V. Krutilla and An978-90-481-7035-7978-1-4020-5405-1Series ISSN 1571-487X 作者: 分貝 時間: 2025-3-25 12:37
e thebook addresses readers who have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis, ordinary differential equations, partial d978-3-0348-0621-3978-3-0348-0622-0作者: refine 時間: 2025-3-25 17:23
Quaternion Sequences,e will use this analogue in a formula called summation by parts, which is an analogue of integration by parts for sums. Summation by parts is not only a useful auxiliary tool, but even indispensable in many applications, including finding sums of powers of integers and deriving some famous convergen作者: Genistein 時間: 2025-3-25 23:35
Hyperbolic Functions,s to master a new situation. Since the quaternion exponential function agrees with the real and complex exponential function of real and complex arguments, it follows that the quaternion hyperbolic functions also agree with their usual counterparts for real and complex input. This allows us to discu作者: 難取悅 時間: 2025-3-26 03:23 作者: 迎合 時間: 2025-3-26 05:52 作者: Parallel 時間: 2025-3-26 09:55 作者: insular 時間: 2025-3-26 14:38
Textbook 2014 into a body of material that interacts with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quate作者: Apogee 時間: 2025-3-26 17:56 作者: Aspirin 時間: 2025-3-26 23:52 作者: 強化 時間: 2025-3-27 05:05 作者: THE 時間: 2025-3-27 06:24
Monomials, Polynomials and Binomials,ay. For example, polynomials are often used in the treatment of problems, mainly in mathematical physics, and also in studies related to differential equations, continued fractions, and numerical stability. In advanced mathematics, polynomials are used to construct polynomial rings, a central concept in abstract algebra and algebraic geometry.作者: 燒瓶 時間: 2025-3-27 10:59
Inverse Hyperbolic and Trigonometric Functions,necessarily multi-valued and can be computed via the quaternion natural logarithm function ln(.). The s facts we shall see here attest the great interest of these functions in mathematics. Proofs of the most known facts are ommited.作者: indices 時間: 2025-3-27 15:52
state-of-the-art papers on value transfer /benefit transferThe transfer of environmental values in time and space has increased rapidly with the widespread use of cost benefit analysis in project evaluation and regulatory assessments over the last three decades. Over the last 15 years, other policy作者: 收養(yǎng) 時間: 2025-3-27 21:24
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??ig state-of-the-art papers on value transfer /benefit transferThe transfer of environmental values in time and space has increased rapidly with the widespread use of cost benefit analysis in project evaluation and regulatory assessments over the last three decades. Over the last 15 years, other policy作者: Working-Memory 時間: 2025-3-28 00:18
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igd regulatory assessments over the last three decades. Over the last 15 years, other policy uses like environmental costing, greening of systems of national accounts and natural resource damage assessments after oil spills and other pollution accidents have also contributed to the increased demand fo作者: 可憎 時間: 2025-3-28 04:33
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igd regulatory assessments over the last three decades. Over the last 15 years, other policy uses like environmental costing, greening of systems of national accounts and natural resource damage assessments after oil spills and other pollution accidents have also contributed to the increased demand fo作者: follicle 時間: 2025-3-28 07:03
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igd regulatory assessments over the last three decades. Over the last 15 years, other policy uses like environmental costing, greening of systems of national accounts and natural resource damage assessments after oil spills and other pollution accidents have also contributed to the increased demand fo作者: 培養(yǎng) 時間: 2025-3-28 11:25 作者: nullify 時間: 2025-3-28 14:45
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igd regulatory assessments over the last three decades. Over the last 15 years, other policy uses like environmental costing, greening of systems of national accounts and natural resource damage assessments after oil spills and other pollution accidents have also contributed to the increased demand fo作者: 不要不誠實 時間: 2025-3-28 22:21 作者: FIG 時間: 2025-3-28 23:49 作者: Nonporous 時間: 2025-3-29 04:25
Jo?o Pedro Morais,Svetlin Georgiev,Wolfgang Spr??igd regulatory assessments over the last three decades. Over the last 15 years, other policy uses like environmental costing, greening of systems of national accounts and natural resource damage assessments after oil spills and other pollution accidents have also contributed to the increased demand fo作者: CT-angiography 時間: 2025-3-29 08:45 作者: 愛社交 時間: 2025-3-29 14:21 作者: 苦惱 時間: 2025-3-29 15:33
d regulatory assessments over the last three decades. Over the last 15 years, other policy uses like environmental costing, greening of systems of national accounts and natural resource damage assessments after oil spills and other pollution accidents have also contributed to the increased demand fo作者: intertwine 時間: 2025-3-29 21:49 作者: 表示向下 時間: 2025-3-30 02:27
https://doi.org/10.1007/978-3-031-22832-2approximation algorithms; approximation theory; artificial intelligence; commerce; computer networks; com作者: 光明正大 時間: 2025-3-30 06:33
1867-4534 and the book is supported with fully documented source code for all applications presented, as well as many sample datasets. .?.The book will be of benefit to researchers and prac978-3-642-43762-5978-3-642-37846-1Series ISSN 1867-4534 Series E-ISSN 1867-4542
