Non-Smooth Geometry

Month: April 2013

Date: April 29--May 3

Name: Non-Smooth Geometry

Location: Institute for Pure and Applied Mathematics (IPAM), UCLA, Los Angeles, California.

Description

Many contemporary investigations in geometry lead to analytic questions on non-smooth and fractal spaces different from the usual Euclidean setting. In this workshop we intend to pursue some of these directions with an emphasis on more geometric aspects (another workshop in this program on "Analysis on Metric Spaces" has a more analytic bias). Topics will include analytic problems that arise in geometric group theory or for expanding dynamical systems, differentiability properties of Lipschitz functions, currents and isoperimetric problems on metric spaces, quasiconformal geometry of fractals, and sub-Riemannian geometry.

Information

http://www.ipam.ucla.edu/programs/iagws3/.

IB Mathematics SL – Calculus, Application of Differentiation, Kinematics

The question is :

IB Mathematics SL – Calculus, Application of Differentiation, Kinematics

Can someone explain me the basic concepts of Kinematics.

and the answer is at www.ibmaths4u.com

http://www.ibmaths4u.com/viewtopic.php?f=11&t=262

IB Maths SL– Calculus, Application of Differentiation, Kinematics

Velocity (v) measures the rate of change of displacement (s)

i.e.


Acceleration (a) measures the rate of change of velocity (v)

i.e.

When the motion of a particle happens onto the x-axis we have the following basic rules:

If the displacement (s) is positive then the particle is to the right of the origin.
If the displacement (s) is negative then the particle is to the left of the origin.
If the displacement (s) equals zero then the particle is located at the origin.


If the velocity (v) is positive then the particle is moving to the right.
If the velocity (v) is negative then the particle is moving to the left.
If the velocity (v) equals zero then the particle is at rest.


If the acceleration (a) is positive then the velocity of the particle is increasing.
If the acceleration (a) is negative then the velocity of the particle is decreasing.
If the acceleration (a) equals zero then the velocity function has a stationary point.

A very important thing about kinematics is that when both velocity and acceleration are positive or negative, then the speed of the particle is increasing.
If both the velocity and acceleration have opposite signs, then the speed of the particle is decreasing.