Pages in Category Mathematics
The picture shows a pedigree (as good as the dot software allows) of a family with a recessive xlinked disorder. The mutated Xchromosome is symbolized by the small letter x ...
Tags: Genetics Statistics
Categories: Mathematics
Derivation of the Bayes' theorem can be made by the multiplication rule of probability and some algebra.
and
Subtracting these two equations leads:
and some algebraic transformation
yields the theorem
Tags: Statistics
Categories: Mathematics
Though this article tackles binomial distribution, a type of discrete probability distribution, it is rather focused on practical questions how to use matplotlib to construct such distributions.
Numpy offers four ...
Tags: Statistics
Categories: Mathematics Software
Condorcet's jury theorem states that given two alternative decision of which one is correct. If the average probability of voters to arrive at the correct decision is more than ...
Tags: Society Theory
Categories: Mathematics
By definition a discrete probability distribution exists if the following two requirements are met.
 It exists a set of random variables and each of these variables has a corresponding probability ...
Tags: Statistics
Categories: Mathematics
Epigenetic landscape is a model introduced by Conrad Hal Waddington that tries to explain the development into different directions depending on environmental or epigenetic factors. The model is a 3D ...
Tags: Control EvoDevo Evolution Genetics
Categories: Biology Mathematics
When reading about mathematical models of evolution you will probably inevitably bump into The Genetical Theory Of Natural Selection[1]. This book praised by many authors as the fundamental work ...
Tags: Genetics Society Statistics Theory
Categories: Mathematics
Injectiveness and Surjectiveness describe the mapping structure of functions as demonstrated by the following picture.
Tags: Functional Analysis
Categories: Mathematics
Though this article tackles Poisson distribution, a type of discrete probability distribution, it is rather focused on practical questions how to use matplotlib to construct graphs of that distribution.
Numpy ...
Tags: Software Statistics
Categories: Mathematics Software
Probability density function (pdf) of a continuous random variable X is a function that satisfies the following requirements.
If the random variable X is discontinuous the probability mass function is ...
Tags: Theory
Categories: Mathematics
Probability mass function (pmf) of a discontinuous random variable X is a function that satisfies the following requirements.
with being the probability of event .
In case of a continuous random ...
Tags: Theory
Categories: Mathematics
Synonyms: Multiplication rule of probability
Product rule of probability applies to the coincidence of two events (A and B)().
In set theory symbols this is equivalent to the event C the intersection of events A ...
Tags: Statistics
Categories: Mathematics
Synonyms: Addition rule of probability
Sum rule of probability describes the probability of the combination of two events (A or B) (). In set theory symbols this is equivalent to the event C the union of ...
Tags: Statistics
Categories: Mathematics
Unfortunately there is no proper tool in python to visualize set operations and relations, neither in maplotlib nor in graphviz. The closest solution that I found was a Venn diagram ...
Tags: Software
Categories: Mathematics Software
This page mainly shows a random walk example implemented in python with numpy and pylab. The theory behind random walk can be learned from Wikipedia.
def set_figure(fig):
import numpy ...
Tags: Theory
Categories: Mathematics
Tags: Theory
Categories: Mathematics
This page demonstrates fundamental set operatons and the corresponding Venn diagramms as reference. The resulting set is shown in red.
Union
def set_figure(fig):
from matplotlib_venn import venn2
ax=fig ...
Tags:
Categories: Mathematics Systems Theory
A slider widget can be implemented in Django.
Update: Slider widget is no longer supported as I implemented sage cells for that purpose which offers much more functionality (including sliders ...
Tags: Software
Categories: Mathematics Software
