Concept

Real coordinate space

Related lectures (25)

Explores vector spaces in three dimensions, covering linear combinations, subspaces, and properties of families of vectors in R³.

Covers the representation and operations in coordinate space with points and vectors.

Covers the definition of a scalar product on a real vector space and provides examples.

Explores Ewald summation for electrostatic Coulomb energy in periodic systems, emphasizing the importance of Gaussian screening charges.

Explores coarse graining in statistical physics, focusing on real space renormalization and the Ising model.

Introduces the basics of real vector spaces, norms, and scalar products.

Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.

Covers the structure of real vector spaces and endomorphisms.

Explores the impact of internet on society, discussing spatial relationships and the emergence of new real spaces.

Covers open balls in Euclidean spaces, their properties, and their significance in topology.

Explores synchrotrons, x-ray lasers, lensless imaging, Nyquist frequency, aliasing, oversampling, and constraints in scattering data analysis.

Explores metadata standards, the Gene Ontology, and brain atlases in neuroscience.

Covers sublinear functionals, linear functionals extension, and Hahn-Banach theorem.

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Covers the concept of norms in Rn and their applications.

Covers the concept of path integral in quantum physics, focusing on phase space path integral and real space path integral.

Explores Ewald summation for long-range interactions and self-interaction correction in Fourier space and real space.

Explores the universal critical exponents of microscopic systems and the role of the renormalization group.

Explores unconstrained optimization theory, covering global and local minima, convexity, and gradient concepts.

Explores Reinforcement Learning, focusing on updating previous action values along the trajectory using the SARSA algorithm.