No Slide Title
... The precise dynamical behavior of a system of particles can be inferred from the Lagrangian equations of motion ...
... The precise dynamical behavior of a system of particles can be inferred from the Lagrangian equations of motion ...
Part I (15 points)
... exterior/interior angles on the same side of the transversal. Part II (18 points) 16-21 Calculation problems Write an equation of the line with given slope and passes through a given point (algebra review). Know the types of slopes (positive, negative, zero slope, undefined slope) Know how to ap ...
... exterior/interior angles on the same side of the transversal. Part II (18 points) 16-21 Calculation problems Write an equation of the line with given slope and passes through a given point (algebra review). Know the types of slopes (positive, negative, zero slope, undefined slope) Know how to ap ...
5.4 Notes
... In the diagram, we are given that JGH and HKJ are right triangles. By the Reflexive Property, we know JH JH (hypotenuse) and we are given that JG HK (leg). We can use the HL Congruence Theorem to show that JGH HKJ . ...
... In the diagram, we are given that JGH and HKJ are right triangles. By the Reflexive Property, we know JH JH (hypotenuse) and we are given that JG HK (leg). We can use the HL Congruence Theorem to show that JGH HKJ . ...
Worksheet
... Aim: How are the sides and angles of a triangle related, if there are two or more congruent sides or angles? Smart Start: Classify each triangle by its sides. ...
... Aim: How are the sides and angles of a triangle related, if there are two or more congruent sides or angles? Smart Start: Classify each triangle by its sides. ...
Episode 219 - Teaching Advanced Physics
... accidents, through pile drivers, bullet-proof vests and laser-induced fusion. Momentum is in some ways fundamental. When considering quantum physics, students will meet the idea that light has momentum (but it doesn’t make any sense to use the classical physics definition of mv for light that by def ...
... accidents, through pile drivers, bullet-proof vests and laser-induced fusion. Momentum is in some ways fundamental. When considering quantum physics, students will meet the idea that light has momentum (but it doesn’t make any sense to use the classical physics definition of mv for light that by def ...
BOOK REVIEW
... theorem and Liouville’s theorem; Hamilton’s variational principle; reduction of the order of the system; Euler’s equations; Integrable Hamiltonian systems. A Poisson bracket on a smooth manifold M is bilinear product f, g → {f, g} defined on the space C ∞ (M ) of all smooth functions on M such that ...
... theorem and Liouville’s theorem; Hamilton’s variational principle; reduction of the order of the system; Euler’s equations; Integrable Hamiltonian systems. A Poisson bracket on a smooth manifold M is bilinear product f, g → {f, g} defined on the space C ∞ (M ) of all smooth functions on M such that ...
Saccheri-Legendre
... Saccheri-Legendre Theorem If 4ABC is any triangle, then the angle sum S(4ABC) ≤ 180◦ . It is interesting that we can prove this theorem in Neutral Geometry without any assumption of a parallel postulate, but the road to get there has a few stops along the way. We will assume without proof the follow ...
... Saccheri-Legendre Theorem If 4ABC is any triangle, then the angle sum S(4ABC) ≤ 180◦ . It is interesting that we can prove this theorem in Neutral Geometry without any assumption of a parallel postulate, but the road to get there has a few stops along the way. We will assume without proof the follow ...
Rehearsal questions
... 1. What type of particles are described by the Klein-Gordon equation? Is there any such particle in the SM? 2. What type of particles are described by the Dirac equation? 3. How many Dirac matrices are there? 4. There are four solutions to the Dirac equations. What do they represent? 5. How many ind ...
... 1. What type of particles are described by the Klein-Gordon equation? Is there any such particle in the SM? 2. What type of particles are described by the Dirac equation? 3. How many Dirac matrices are there? 4. There are four solutions to the Dirac equations. What do they represent? 5. How many ind ...
Physics Units
... stable material and in an isolated environment A “second” corresponds to the duration of 9.192.631.770 periods of the characteristic radiation of Cesium 133 atom (about 1 / 86400 of a solar day) To define time it is necessary to count the number of period of a phenomenon which is supposed to be peri ...
... stable material and in an isolated environment A “second” corresponds to the duration of 9.192.631.770 periods of the characteristic radiation of Cesium 133 atom (about 1 / 86400 of a solar day) To define time it is necessary to count the number of period of a phenomenon which is supposed to be peri ...
Noether's theorem
Noether's (first) theorem states that every differentiable symmetry of the action of a physical system has a corresponding conservation law. The theorem was proven by German mathematician Emmy Noether in 1915 and published in 1918. The action of a physical system is the integral over time of a Lagrangian function (which may or may not be an integral over space of a Lagrangian density function), from which the system's behavior can be determined by the principle of least action.Noether's theorem has become a fundamental tool of modern theoretical physics and the calculus of variations. A generalization of the seminal formulations on constants of motion in Lagrangian and Hamiltonian mechanics (developed in 1788 and 1833, respectively), it does not apply to systems that cannot be modeled with a Lagrangian alone (e.g. systems with a Rayleigh dissipation function). In particular, dissipative systems with continuous symmetries need not have a corresponding conservation law.