ADVANCE SEARCH BY GOOGLE

ADVANCE SEARCH BY GOOGLE

ADVANCE GOOGLE SEARCH

ADVANCE GOOGLE SEARCH

ART OF ASSEMBLY LANGUAGE

ART OF ASSEMBLY LANGUAGE

lime wire alternative

lime wire dead :alternative solution
1O alternatives to lime wire

very good site for codes

href="http://www.codeforge.com"> http://www.codeforge.com/ https://www.dreamspark.com/

DIVERGENCE AND OUTFLOW

All rights reserved . No part of this document may be reproduced, stored in retrieval system or transmitted, in any form or by any means, without prior permission in writing of authors.

windows 7 codecs

internet download manager 6.04

internet download manager 6.00 beta

VECTOR CALCULUS : DEL OPRATOR(PART 1)

All rights reserved. No part of this document may be reproduced, stored in a retrieval system or transmitted, in any form or by any means, without prior permission in writing of authors.
thoughtcrackers.blogspot.com
THIS TEXT REQUIRE A PRIOR READING OF
1.COORDINATE SYSTEMS

• DEL (∇) is always used to know the spatial variations of any quantity i.e. changing in space.
  
• When operated on any quantity it specifies the rate of change of quantity along with the direction of this change. This is called a directional derivative.

• Above figure explains the different operation of del (∇) operator on the scalar and vector fields.
  
• The spatial variation of any scalar quality results in a vector quantity which is called "Gradient of Scalar”.
  
• The spatial variation of any vector quantity can be analyzed in two ways:

                      A) First is Dot Product i.e. Divergence Of Vector that gives a scalar quantity.

           B) Second is Cross Product i.e. Curl Of a Vector that gives a vector quantity.
VECTOR IDENTITIES

                                               Curl of gradient of any scalar is zero.

                                     Divergence of curl of any vector is zero.

Divergence of gradient is Laplacian of that scalar

The 3 remaining vector derivatives are related by the equation