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How do the properties of multicomplex numbers influence the dynamics of Mandelbrot and Julia set when extended to a multidimensional plane and how does this compare and contrast to traditional complex numbers counterparts?
Mathematics Analysis and Approaches (AA)
EE
B
Pro
How do visual representations in nature and artwork provide insights into mathematical concepts?
Mathematics Analysis and Approaches (AA)
EE
C
Pro
To what extent can Euler’s method accurately approximate the solution to the differential equation of the series RL circuit?
Mathematics Analysis and Approaches (AA)
EE
B
HL
Pro
How do the numerical integration methods, trapezoidal rule in Newton Cote Formula and midpoint rule in Riemann’s sum compare in terms of efficiency?
Mathematics Analysis and Approaches (AA)
EE
A
Pro
: What is the future of the Earth-Bennu system with asteroid Bennu posing a future threat to Earth having its closed elliptical orbit intersect that of Earth?
Mathematics Analysis and Approaches (AA)
EE
A
HL
Pro
How does modelling scoring rates as differential equations compare to the Duckworth-Lewis-Stern method in predicting run chases in rain-affected limited-overs cricket?
Mathematics Analysis and Approaches (AA)
EE
C
Pro
To what extent can Geometric Brownian Motion accurately predict the stock prices of Apple?
Mathematics Analysis and Approaches (AA)
EE
B
How can Markov Chain models be effectively utilized to analyze and predict the probabilistic transitions between different states in political conflicts, and what factors influence the stability and resolution of these conflicts?
Mathematics Analysis and Approaches (AA)
EE
B
Pro
How good are mathematical methods like counting and combinatorics at evaluating the efficiency and ergonomics of two of the most popular methods for solving the Rubik's Cube?
Mathematics Analysis and Approaches (AA)
EE
B
How can Lotka-Volterra equations and Verhulst’s logistic growth models be applied and compared to model the population and behavior of European rabbits (Oryctolagus cuniculus) in the UK from 1995 to 2024?
Mathematics Analysis and Approaches (AA)
EE
A
Pro