Designing an Experiment - Single and Double Blind Trials

Single-blind and double-blind trials relate to how experiments are set up.

• Double-blind - where neither subjects nor experimenters know who is in TEST or CONTROL group
• Single-blind - only the subjects (e.g.. patients in a medical study) know which group they are in

This is about experimental research methods rather than mathematical experimental design (hence it does not lend itself well of the bat to Python automation).

The idea is to prevent bias/personal beliefs from influencing the results of the experiment/clinical trial. Both setups should remove the so-called placebo effect.

Coding with Bilinear Maps

When Pycryptonistas advance beyond the familiar realm of linear algebra to the new realm of multilinear algebra there are terms that must be mastered post haste to make sense of the new environs.

Amongst these terms is the term bilinear map a simple sounding term but oddly not widely socialised even among linear algebra aficionados.

A bilinear map is a function that combines elements of two vector spaces to yield an element of a third vector space, and is linear in each of its arguments. Matrix multiplication is an example.

To be confident in bilinear maps you should be able to product multiple examples of bilinear maps from basic mathematics.