This week the topic was vectors and matrices. We interviewed Dave Langers, who studies the human brain, and how it processes hearing signals. We talked about how Dave uses matrices and vectors to store information from brain scans, which allow him to manipulate the information more easily.
Interesting links:
Puzzle: Using the vectors (1,3,1,3), (2,2,6,6) and (4,8,8,12), by taking multiples of each and adding them together, find a combination which adds up to (0,0,0,0). You must use all three vectors at least once.
Solution:
2 × (1,3,1,3) - (2,2,6,6) - (4,8,8,12) = (0,0,0,0)
This can be achieved using other combinations too - for example, if you multiply all the vectors on the left of this equation by the same number, you’d also get a zero vector.
Episode 14: Maths and Art
Episode 12: Regression and traffic management
Episode 11: Programming and boolean algebra
Episode 10: Numbers, infinite and music
Episode 9: Structural engineering and coordinates
Episode 8: Packing Shapes and graphene
Episode 7: Astrophysics and trigonometry
Episode 6: Exponential growth in Pensions
Episode 5: CERN and standard deviation
Episode 4: Nautical Radar and quadratic equations
Episode 3: Cellular automata, graph theory and brains
Episode 2: Statistical sampling in archaeology
Episode 1: Crime Scene Investigation, forensic science and Bayes' theorem
Episode 20: Calculus and fluid dynamics
Episode 19: Computer games and mechanics
Episode 18: Medical imaging and Fourier analysis
Episode 17: Nuclear reactor modelling
Episode 16: Actuarial science and normal distributions
Episode 15: Accountancy and cash management
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