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Non-analytic smooth function
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Related lectures (32)
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Differential Functions and Tangent Plan
Covers differentiable functions, derivatives, and tangent planes in mathematics.
Definition of Differentiable Functions
Covers the definition of differentiable functions and explores the representation of the remainder in derivatives.
Primes in arithmetic progressions (II), and Gamma functions
Explores the existence of primes in arithmetic progressions and the properties of the Euler gamma function.
Proximal Gradient Descent: Optimization Techniques in Machine Learning
Discusses proximal gradient descent and its applications in optimizing machine learning algorithms.
Differentiable Functions: Definitions and Interpretation
Covers the definitions of differentiable and derivable functions and their geometric interpretation.
Osculating Planes and Parameterized Curves
Covers the concept of osculating planes and parameterized curves, discussing the speed of points and linear independence.
Differential and Tangent Plan
Explores differentiable functions, gradients, and tangent planes in two-variable functions.
Approximation of Zeta Function
Explores the approximation of the zeta function using compact functions and spectral decomposition.
Optimality Conditions: Unconstrained
Covers Fermat's theorem, necessary optimality conditions, convexity, and eigenvalue curvature in optimization.
Analyzing Character Lifts in Cp
Covers constructing characters and lifting them to analytic functions on Cp, emphasizing the importance of correction terms for convergence.