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PUBLIC MARKS from YukuanMark with tag math

October 2006

How to Calculate Geometric Means

Geometric mean is often used to evaluate data covering several orders of magnitude, and sometimes for evaluating ratios, percentages, or other data sets bounded by zero. If your data covers a narrow range (I have seen it stated that the largest value must

Definition: Geometric mean

Geometric means are often useful summaries for highly skewed data. They are also natural for summarizing ratios. Don't use a geometric mean, though, if you have any negative or zero values in your data.

Harmony and Proportion: Palladio: The Geometric Mean

Here is a summary of the Arithmetic and Geometric means:

September 2006



August 2006

SciPy -

SciPy is open-source software for mathematics, science, and engineering. It is also the name of a very popular conference on scientific programming with Python.

Boost Graph Library - Python Bindings

The Boost Graph Library Python bindings (which we refer to as "BGL-Python") expose the functionality of the Boost Graph Library and Parallel Boost Graph Library as a Python package, allowing one to perform computation-intensive tasks on graphs (or network


by 1 other
Graph visualization is a way of representing structural information as diagrams of abstract graphs and networks. Automatic graph drawing has many important applications in software engineering, database and web design, networking, and in visual interfaces

NetworkX trac

by 1 other
NetworkX (NX) is a Python package for the creation, manipulation, and study of the structure, dynamics, and functions of complex networks.

Matplotlib / pylab - matlab style python plotting (plots, graphs, charts)

matplotlib is a python 2D plotting library which produces publication quality figures in a variety of hardcopy formats and interactive environments across platforms. matplotlib can be used in python scripts, the python and ipython shell (ala matlab or mat







July 2006

Putting mathematics on the Web with MathML

This note explains how to include MathML in Web pages in a way that makes it possible to be viewed on a large number of browsers. It also shows how to configure browsers to make them able to display MathML. Currently the browsers that will render the page

[ GTL ] The Graph Template Library

GTL, the Graph Template Library GTL can be seen as an extension of the Standard Template Library STL to graphs and fundamental graph algorithms.

JUNG - Java Universal Network/Graph Framework

by 5 others
JUNG — the Java Universal Network/Graph Framework--is a software library that provides a common and extendible language for the modeling, analysis, and visualization of data that can be represented as a graph or network. It is written in Java, which all

The goal of the GEF project is to build a graph editing library that can be used to construct many, high-quality graph editing applications. Some of GEF's features are: * A simple, concrete design that makes the framework easy to understand and extend. *

The Boost Graph Library

Graphs are mathematical abstractions that are useful for solving many types of problems in computer science. Consequently, these abstractions must also be represented in computer programs. A standardized generic interface for traversing graphs is of utmos

SGT Graphics Package

The Scientific Graphics Toolkit (SGT) facilitates easy development of platform independent, Java applications to produce highly interactive, flexible, publication quality, object oriented graphics of scientific data. Features include user settable or auto

Welcome to JGraphT - a free Java Graph Library

by 1 other
JGraphT is a free Java graph library that provides mathematical graph-theory objects and algorithms. JGraphT supports various types of graphs including:




上面這種機率分布稱為二項分布。一般的二項分布是這樣的: 假設某事件的發生率為 p,而試驗做了 n 次。則 n 次中,某事件發生 x 次的機率為


本文的目的有二:一來淺介訊息理論,二來藉訊息理論之介紹說明機率論的方法。 首先,我們回憶一下機率的基本概念。


西元1827年,英國植物學家勞伯‧布朗 (Robert Brown) 利用一般的顯微鏡觀察懸浮於水中的花粉粒時,發現這些花粉粒會做連續快速而不規則的隨機移動,這種移動稱為布朗運動 (Brownian motion)。



Poisson 分布

二項分布是離散型機率模型中最有名的一個,其次是 Poisson 分布,它可以看成為二項分布的一種極限情形。

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