Paul Ehrenfest: The Genesis of the Adiabatic Hypothesis, 1911–1914

... EINSTEIN and STERN.4 Then, in another article of 1913 on a mechanical theorem of BOLTZMANN,5 EHRENFEST already employed a primitive adiabatic hypothesis but did not formulate it clearly. He used it instead to deduce a set of quantization rules that differed from the usual ones and specifically obtai ...

... EINSTEIN and STERN.4 Then, in another article of 1913 on a mechanical theorem of BOLTZMANN,5 EHRENFEST already employed a primitive adiabatic hypothesis but did not formulate it clearly. He used it instead to deduce a set of quantization rules that differed from the usual ones and specifically obtai ...

x - UCSB ECE

... The equilibrium point xeq 2 Rn is (Lyapunov) stable if 9 a 2 K: ||x(t) – xeq|| · a(||x(t0) – xeq||) 8 t¸ t0¸ 0, ||x(t0) – xeq||· c Theorem (Lyapunov): Suppose there exists a continuously differentiable, positive definite, radially unbounded function V: Rn ! R such that Then xeq is a Lyapunov stable ...

... The equilibrium point xeq 2 Rn is (Lyapunov) stable if 9 a 2 K: ||x(t) – xeq|| · a(||x(t0) – xeq||) 8 t¸ t0¸ 0, ||x(t0) – xeq||· c Theorem (Lyapunov): Suppose there exists a continuously differentiable, positive definite, radially unbounded function V: Rn ! R such that Then xeq is a Lyapunov stable ...

Statistical Significance and Univariate and Bivariate Tests

... A sampling distribution is the probability distribution of the statistic Is this the same thing as the probability distribution of the population? NO! They may coincidentally have the same shape though. BUS 230: Business and Economics Research and Communication Statistical Significance and Univariat ...

... A sampling distribution is the probability distribution of the statistic Is this the same thing as the probability distribution of the population? NO! They may coincidentally have the same shape though. BUS 230: Business and Economics Research and Communication Statistical Significance and Univariat ...

HQ-1: Conference on the History of Quantum Physics Max Planck

... the History of Quantum Physics. This conference, held at the Max Planck Institute for the History of Science (July 2–6, 2007), has been sponsored by the Max Planck Society in honor of Max Planck on the occasion of the sixtieth anniversary of his passing. It is the first in a new series of conference ...

... the History of Quantum Physics. This conference, held at the Max Planck Institute for the History of Science (July 2–6, 2007), has been sponsored by the Max Planck Society in honor of Max Planck on the occasion of the sixtieth anniversary of his passing. It is the first in a new series of conference ...

Solubility

... • We can also determine the concentration of an ion necessary for precipitation to begin. • Assume that precipitation begins when Qsp = Ksp • Example: If a solution contains 0.0020 mol CrO42per liter, what concentration of Ag+ ion must be added as AgNO3 before Ag2CrO4 begins to precipitate. (Neglect ...

... • We can also determine the concentration of an ion necessary for precipitation to begin. • Assume that precipitation begins when Qsp = Ksp • Example: If a solution contains 0.0020 mol CrO42per liter, what concentration of Ag+ ion must be added as AgNO3 before Ag2CrO4 begins to precipitate. (Neglect ...

Slide 1

... 11.3 Center of Gravity Center of mass is often called center of gravity, the average position of all the particles of weight that make up an object. For almost all objects on and near Earth, these terms are interchangeable. There can be a small difference between center of gravity and center of mass ...

... 11.3 Center of Gravity Center of mass is often called center of gravity, the average position of all the particles of weight that make up an object. For almost all objects on and near Earth, these terms are interchangeable. There can be a small difference between center of gravity and center of mass ...

Examination of the crystal growth paths for racemic solutions

... F3D1 or F2D0 mechanism, the rung before last is made up of at least one ion of wrong absolute configuration, so that the only solution is the desorption of this wrong pair. In configuration M, there are two pairs containing the right carboxylic ion to be inserted; both lead to the formation of one a ...

... F3D1 or F2D0 mechanism, the rung before last is made up of at least one ion of wrong absolute configuration, so that the only solution is the desorption of this wrong pair. In configuration M, there are two pairs containing the right carboxylic ion to be inserted; both lead to the formation of one a ...

Remarks on the Donnan condenser in the sedimentation–diffusion

... the inflated gravitational length (1 + z)L in region III, see appendix B. The foregoing results for the inhomogeneous Donnan equilibrium in the gravity field are easily extended to colloids in a centrifuge. The main difference is that now the acceleration changes in the radial direction, producing a ...

... the inflated gravitational length (1 + z)L in region III, see appendix B. The foregoing results for the inhomogeneous Donnan equilibrium in the gravity field are easily extended to colloids in a centrifuge. The main difference is that now the acceleration changes in the radial direction, producing a ...

Funky Mechanics Concepts

... http://physics.ucsd.edu/~emichels for the latest versions of the Funky Series, and for contact information. We’re looking for feedback, so please let us know what you think. ...

... http://physics.ucsd.edu/~emichels for the latest versions of the Funky Series, and for contact information. We’re looking for feedback, so please let us know what you think. ...

Paper - College of the Redwoods

... down both sides of the hoop. The second example is the same but the velocity of the bead has died down. When we increase the value of γ, the bead is restricted to one side of the hoop, but the area in which it moves gets much smaller as the angular velocity increases. It gets to a point where we can ...

... down both sides of the hoop. The second example is the same but the velocity of the bead has died down. When we increase the value of γ, the bead is restricted to one side of the hoop, but the area in which it moves gets much smaller as the angular velocity increases. It gets to a point where we can ...

Lesson - Port of Long Beach

... 1. When placing the skewer or pencil on your finger, when was static equilibrium reached and how do you know? 2. What did you learn about mass and distance from the fulcrum in the gantry crane examples? 3. Using the information from question #2, how do mass and distance relate to the pencil on yo ...

... 1. When placing the skewer or pencil on your finger, when was static equilibrium reached and how do you know? 2. What did you learn about mass and distance from the fulcrum in the gantry crane examples? 3. Using the information from question #2, how do mass and distance relate to the pencil on yo ...