Notes on staining methods

Notes on Multigrid Methods

1 The model problem: 1D Possion equation. On the unit 1D domain x ∈ [0, 1], we numerically solve Poisson equation with homogeneous boundary condition ∆u = f, x(0) = x(1) = 0. (1) Discretize the domain with n cells and locate the knowns fj and unknowns uj at nodes xj = j/n = jh, j = 0, 1, . . . , n. We would like to approximate the second derivative of u using the discrete values at the nodes. U...

Notes on Decomposition Methods

4 More general decomposition structures 17 4.1 General examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 4.2 Framework for decomposition structures . . . . . . . . . . . . . . . . . . . . 19 4.3 Primal decomposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4.4 Dual decomposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2...

Lecture Notes on Mathematical Methods

Lecture Notes on Iterative Methods

Two Step Cold Staining Methods

In developing countries pulmonary tuberculosis is usually diagnosed by detecting acid-fast bacilli (AFB) in sputum using a Ziehl-Neelsen (Z-N) staining method. However, in the field the traditional method of staining is difficult to carry out. This study evaluates the efficiency of two cold staining methods, namely Gabbet’s and a modified two reagent cold staining method compared with the Z-N t...