topology lecture notes - ward, thomas

... of f rel {x 0 } (see exercises). Lemma 4.2. The map f ∗ is a group homomorphism. Topology Lecture Notes Thomas Ward, UEA June 4, 2001 2. MOVING THE BASE POINT 28 We shall sometimes write π 1 (f) ... TOPOLOGIES 9 4. The quotient topology Given a topological space (X, T X ) and a surjective function q : X → Y , we may define a topology on Y using the topology on X. The quotient...

Ngày tải lên: 31/03/2014, 16:27

Ngày tải lên: 31/03/2014, 16:27

... describe general topology adequately is a technical handicap. What to do? 3.2 Nets - A Kind of ‘Super-Sequence’ Recall that a sequence is just a function having the positive integers as do- main. The ... spaces are home- omorphic (unless a homeomorphism is obvious or can easily be discovered). For example, to verify that (R, I) is homeomorphic to (0, 1) with its in- duced metric topolo...

Ngày tải lên: 31/03/2014, 16:27

... Matlab 7 - 30 - -1 .4000 -1 .7000 -2 .0000 - Toán tử ‘:’ còn được dùng để trích xuất một phần của véctơ. Giả thiết chúng ta có véc tơ >> r = [1:2:6, -1 :-2 :-7 ]  r = 1 3 5 -1 -3 -5 -7 thì để ... độ. acoth - hàm nghịch đảo của hàm côtang hyperbolic. Các hàm lũy thừa: exp - hàm mũ. expm1 - tính chính xác exp(x )-1 . log - logarit...

Ngày tải lên: 21/09/2013, 16:27

... Lecture Notes: Introduction to Finite Element Method Chapter 1. Introduction © 1998 Yijun Liu, University ... : (3) A is called a n×n (square) matrix, and x and b are (column) vectors of dimension n. Lecture Notes: Introduction to Finite Element Method Chapter 1. Introduction © 1998 Yijun Liu, University ... 2, , l; j = 1, 2, , n. Note that, in general, AB BA≠ , but ( ) ( )AB C A BC=...

Ngày tải lên: 17/10/2013, 11:15

... of the 1-D (experimental) result to 2-D and 3-D situations. © 199 7-2 002 Yijun Liu, University of Cincinnati 101 Lecture Notes: Introduction to Finite Element Method Chapter 3. Two-Dimensional ... 199 7-2 002 Yijun Liu, University of Cincinnati 110 Lecture Notes: Introduction to Finite Element Method Chapter 4. FE Modeling and Solution Techniques Iterative Method - Example:...

Ngày tải lên: 23/10/2013, 15:46

... Mũ. ? iT vV 0S vRIe=− • Mạch Tạo Hàm Loga. - + C R v i v 0 RC τ = - + R D v 0 v i - + D R v 0 v i Mạch Dao Động Sin 1/8 KTĐ & ĐT GVC. ThS. Nguyễn Như ... 10K μ ωπ π − == =→ == == = ××× ×× × × →= Ω→ Ω - + - + v f R 1 R 2 R R R C C C v 0 Maùch ẹieọn 11/20 KTẹ & ẹT GVC. ThS. Nguyeón Nhử Phong 1999 KTHTCN - ẹHBK VD...

Ngày tải lên: 25/10/2013, 13:15

... torque of acceleration-deceleration fromthe differ- encebetween the terminal voltageinput added into the motorand counter-electromotive force of themotor,can be guaranteed by counter- electromotiveforce ... Saturation Forsimplicity, contour control is investigated in an two-dimensional orthog- onal coordination. In the th ree-di mensional case, plate with objectivetrajec- tory is considered. T...

Ngày tải lên: 13/02/2014, 08:20

Ngày tải lên: 16/02/2014, 18:20

... reflects two key land-use variables: den- sity or compactness of land use; and, land use mix (the degree of heteroge- neity with which functionally different uses are co-located in space). The ... Databases to Identify the Attribute Dwelling density  High-density neighborhoods include mixed-use development - improves ac- cessibility to variety of complementary activities and thus,...

Ngày tải lên: 17/02/2014, 20:20