2010-03-18

Derivation of Gibaldi PK Appendix B: Input and Disposition Function

Input and Disposition functions in pharmacokinetics have relationships with integral transformation and convolution.

See this linked PDF file for the detail.

Integral Transformation

See this linked PDF file.

Important integral transformation includes
  Fourier Transformation
  Laplace Transformation
  Convolution (a kind of theorem)
.

See other files for the specific transformation or theorem.

Fourier Transformation

See this linked PDF file.

Numerical Differentiation using Richardson Extrapolation

See this linked PDF file.

2010-03-16

Handbooks of Mathematical Statistics and Mathematics

Handbook on Statistical Distributions for experimentalists

Handbook of Mathematical Functions ~~ by Abramowits and Stegun
US Government Site link: This is hard to read. Scan Quality is not satisfactory.
Other Link: http://www.math.ucla.edu/~cbm/aands/ : This is indexed and convenient to access.

An Interesting Study Link for Mathematics

Sean's Applied Math Book and Lecture

Appendix V. Glossary  (PDF full version p2281-2)

Phrases often have different meanings in mathematics than in everyday usage. Here I have collected definitions of some mathematical terms which might confuse the novice.


beyond the scope of this text: Beyond the comprehension of the author.

difficult: Essentially impossible. Note that mathematicians never refer to problems they have solved as being difficult. This would either be boastful, (claiming that you can solve difficult problems), or self-deprecating, (admitting that you found the problem to be difficult).

interesting: This word is grossly overused in math and science. It is often used to describe any work that the author has done, regardless of the work’s significance or novelty. It may also be used as a synonym for difficult. It has a completely different meaning when used by the non-mathematician. When I tell people that I am a mathematician they typically respond with, “That must be interesting.”, which means, “I don’t know anything about math or what mathematicians do.” I typically answer, “No. Not really.”

non-obvious or non-trivial: Real fuckin’ hard.

one can prove that . . . : The “one” that proved it was a genius like Gauss. The phrase literally means “you haven’t got a chance in hell of proving that . . . ”

simple: Mathematicians communicate their prowess to colleagues and students by referring to all problems as simple or trivial. If you ever become a math professor, introduce every example as being “really quite trivial.” (Say like this “This next pwobwem is weawy quite twiviaw”.)

2010-03-13

Basic Math - Integration of Error Function

See this linked PDF file.

Above content is from wikipedia - Gaussian Integral.

See this link for the latest version.

2010-03-12

Basic Math - Numerical Integration

See this linked PDF file.

This includes
  Trapezoidal rule
  Simpson's formula
  Rombeg Integration using Richardson Extrapolation
  Gaussian Quadrature
.

2010-03-05

3월 18일 수업은 쉽니다.

ASCPT와, 대구가톨릭의대에서의 국제 IRB행사로 인하여 3월 18일 수업은 쉽니다.
이 메일을 받지 못하는 분들도 있으므로 받는 분들이 알려주시면 감사하겠습니다.