中文翻译Introduction to Linear Algebra, 5th Edition 7.4节，仅用于交流学习！ 1 一个典型的方阵 A = U ΣV T 分解为 (旋转)(拉伸)(旋转)。 2 几何展示了 A 如何将圆上的向量变换为椭圆上的向量 Ax。 3 A 的范数是 ∥A∥ = σ 1 。这个奇异值是它的最大增长因子 ∥Ax∥ / ∥x∥。 4 极分解将 A 分解成 QS：旋转 Q = U V T 乘上拉伸 S = V ΣV T 。 5 伪逆 A + = V Σ + U T 使列空间中的 Ax 还原到行空间中的 x。 SVD 将一个矩阵分成三步：(正交矩阵) × (对角矩阵) × (正交矩阵)。普通的言语就能表达其背后的几 何：(旋转) × (拉伸) × (旋转)。U ΣV T x 从旋转到 V T x 开始。其次 Σ 将向量拉伸到 ΣV T x，然后 U 将其旋转至 Ax = U ΣV T x。以下是其图像。

中文翻译Introduction to Linear Algebra, 5th Edition 7.3节，仅用于交流学习！ 本节阐述 SVD 在统计学与数据分析中的一个主要应用。我们的示例将来源于人类遗传、面部识别 及金融。问题在于理解一个大的数据矩阵（= 测量值） 。对 n 个样本的每一个，我们测量 m 个变量。数 据矩阵 A 0 具有 n 列和 m 行。 通过图像，A 0 的列是 R m 里的 n 个点。在我们减去各行的平均值后得到 A，其 n 个点通常沿着 一条直线或接近一个平面（或 R m 的其它低维子空间）聚集。这条直线或平面或子空间是什么？ 允许我从一个图片而不是数字开始。对于如年龄和身高的 m = 2 个变量，其 n 个点位于 R 2 平面。 减去平均年龄和平均身高来中心化数据。假设 n 个中心化后的点沿某条直线聚集，那线性代数如何找 出那条直线呢？

内容简介 Drawing on an impressive roster of experts in the field, Fundamentals of Computer Graphics, Fifth Edition offers an ideal resource for computer course curricula as well as a user-friendly personal or professional reference. Focusing on geometric intuition, this book gives the necessary information for understanding how images get onto the screen by using the complementary approaches of ray tracing and rasterization. It covers topics common to an introductory course, such as sampling theor

中文翻译Introduction to Linear Algebra, 5th Edition 7.2节，仅用于交流学习！

Since the 4e appeared, a fast evolution of the field has occurred. The 5e of this classic work provides an up-to-date account of the nonlinear phenomena occurring inside optical fibers, the basis of all our telecommunications infastructure as well as being used in the medical field. Reflecting the big developments in research, this new edition includes major new content: slow light effects, which offers a reduction in noise and power consumption and more ordered network traffic-stimulated Brillouin scattering; vectorial treatment of highly nonlinear fibers; and a brand new chapter on supercontinuum generation in optical fibers.

中文翻译Introduction to Linear Algebra, 5th Edition 7.1节，仅用于交流学习！

高级计算机体系结构 用书（第五版）

About the Author David C. Lay holds a B.A. from Aurora University (Illinois), and an M.A. and Ph.D. from the University of California at Los Angeles. David Lay has been an educator and research mathematician since 1966, mostly at the University of Maryland, College Park. He has also served as a visiting professor at the University of Amsterdam, the Free University in Amsterdam, and the University of Kaiserslautern, Germany. He has published more than 30 research articles on functional analysis and linear algebra. As a founding member of the NSF-sponsored Linear Algebra Curriculum Study Group.

Oracle PLSQL by Example, 5th Edition 无水印文字版 PLSQL by Example 第5版

中文翻译Introduction to Linear Algebra, 5th Edition 6.5节　仅用于交流学习！