Geophysical definition of planet

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Exponential Functions

Explores the properties of exponential functions, including growth, decay, and their relationship with logarithmic functions.

Exoplanets

Explores the definition, formation, discovery methods, and search for life of exoplanets, including the history of discoveries and the Drake Equation.

Continuity: Examples and Definitions

Covers the concept of continuity, providing examples and definitions of continuous functions.

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Urban Resilient Territories: Challenges and Solutions

Delves into the challenges and successes of building resilient urban territories in alignment with planetary boundaries.

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Explores dynamics on homogeneous spaces and their interactions with number theory, focusing on modular lattices and the Iwasawa decomposition theorem.

Mapping Functions and Surjections

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Linear Approximation and Derivative Parametric

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Sparsest Cut: ARV Theorem

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

Uniqueness Results for Poisson Equation

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.