Lectures related to Generalized mean

Geometric Means: Ancient Theories and Modern Applications

Delves into ancient geometric means and their modern applications in geometry.

Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

Statistical Inference: Weighted Mean and Radioactive Decay

Introduces weighted mean calculation and radioactive decay concept with probability estimation.

Replica Symmetry Breaking: Random Energy Model

Explores Replica Symmetry Breaking in the Random Energy Model, focusing on configurations, variance, mean, and system behavior.

Martingales and Brownian Movement

Explores martingales, Brownian movement, mean numbers, and generation hypotheses.

Random Numbers Visualization

Explains how constants affect the mean and variance of random numbers.

Measures of central tendency

Covers mean, median, mode, box plots, and histograms in datasets.

Attenuation Correction

Explores the fundamentals of attenuation correction in biomedical imaging and simplifies the process using the geometric mean at 180°.

Probability Distributions: Moments and Transformations

Covers moments computation and probability distribution transformations.

Calculating Growth Rates

Explores the calculation of growth rates, average GDP growth, and environmental footprint changes.

Stochastic Models for Communications: Continuous-Time Stochastic Processes - Stationarity

Covers the concept of stationarity in continuous-time stochastic processes and its implications in communication systems.

Average Growth Rates Calculation

Explains how to calculate average growth rates using arithmetic mean, geometric mean, and linear trend analysis.

Numpy: Broadcasting, Operations, Comparisons, and Constants

Covers broadcasting, operations, comparisons, and numpy constants like pi, e, and infinity.

Statistics: Exploratory Data Analysis

Introduces statistics basics, including data analysis and probability theory, emphasizing central tendency, dispersion, and distribution shapes.

Birth Month Impact on Athlete Success

Investigates how birth month influences athlete success, analyzing Japanese athletes' dataset to explore trends in birthdates and occupations.

Harmonic Functions: Properties and Mean

Covers the properties of harmonic functions, focusing on the mean value property and the maximum principle.

Harmonic Mean: Geometric Projective Geometry

Explores the harmonic mean in visual arts and projective geometry, discussing historical context and invariance properties.

ECDF and Quantiles

Covers ECDF, quantiles, mean, median, and box plots for dataset analysis.

Weighted Average and Interest Rates

Explores the calculation of weighted averages and interest rates, emphasizing the importance of averages in financial analysis.

Probabilities and Statistics: Key Theorems and Applications

Discusses key statistical concepts, including sampling dangers, inequalities, and the Central Limit Theorem, with practical examples and applications.