BIOTROPIA Vol. 27/No. 3/Tahun 2020 (Rak7-N: MIPA)
Matrik : Jurnal Manajemen, Strategi Bisnis dan Kewirausahaan Vol 13 No 1 Februari 2019 (Rak 6 – L : Ekonomi, Akuntansi dan Bisnis)
Historical Introduction: Issai Schur and the Early Development of the Schur Complement -- Basic Properties of the Schur Complement -- Eigenvalue and Singular Value Inequalities of Schur Complements -- Block Matrix Techniques -- Closure Properties -- Schur Complements and Matrix Inequalities: Operator-Theoretic Approach -- Schur complements in statistics and probability -- Schur Complements and …
The statistics of asset allocation -- Univariate statistics -- Multivariate statistics -- Modeling the market -- Classical asset allocation -- Estimating the distribution of the market invariants -- Evaluating allocations -- Optimizing allocations -- Accounting for estimation risk -- Estimating the distribution of the market invariants -- Evaluating allocations -- Optimizing allocations.This en…
Gaudin Model and Opers -- Integrable Models with Unstable Particles -- Quantum Reduction in the Twisted Case -- Representation Theory and Quantum Integrability -- Connecting Lattice and Relativistic Models via Conformal Field Theory -- Elliptic Spectral Parameter and Infinite-Dimensional Grassmann Variety -- Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. II -- Weil-Petersson …
and Outline -- Indefinite Inner Products -- Orthogonalization and Orthogonal Polynomials -- Classes of Linear Transformations -- Canonical Forms -- Real H-Selfadjoint Matrices -- Functions of H-Selfadjoint Matrices -- H-Normal Matrices -- General Perturbations. Stability of Diagonalizable Matrices -- Definite Invariant Subspaces -- Differential Equations of First Order -- Matrix Polynomials -- …
Basic Tensor Algebra -- Tensor Spaces -- to Tensors -- Homogeneous Tensors -- Change-of-basis in Tensor Spaces -- Homogeneous Tensor Algebra: Tensor Homomorphisms -- Special Tensors -- Symmetric Homogeneous Tensors: Tensor Algebras -- Anti-symmetric Homogeneous Tensors, Tensor and Inner Product Algebras -- Pseudotensors; Modular, Relative or Weighted Tensors -- Exterior Algebras -- Exterior Alg…
Straightedge and compass -- Euclid’s approach to geometry -- Coordinates -- Vectors and Euclidean spaces -- Perspective -- Projective planes -- Transformations -- Non-Euclidean geometry.For two millennia the right way to teach geometry was the Euclidean approach, and in many respects, this is still the case. But in the 1950s the cry "Down with triangles!" was heard in France and new geometry …
Fibonacci Numbers -- Homogeneous Linear Recurrence Relations -- Finite Difference Equations -- Generating Functions -- Nonnegative Difference Equations -- Leslie’s Population Matrix Model -- Matrix Difference Equations -- Modular Recurrences -- Computational Complexity -- Some Nonlinear Recurrences.Difference equations are models of the world around us. From clocks to computers to chromosomes…
Basic Matrix Theory and Linear Algebra -- Multivariate Distributions -- Distribution Expansions -- Multivariate Linear Models.The book presents important tools and techniques for treating problems in m- ern multivariate statistics in a systematic way. The ambition is to indicate new directions as well as to present the classical part of multivariate statistical analysis in this framework. The b…