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This video will give us an idea about the enhancement of local stability and get few steps towards that . Positive definite function, Chain rule for multi variable functions has been discussed as prerequisite. I have opened this channel to share my little bit of knowledge of Mathematics. The goal of the channel is to enhance the thinking capability of a student by new ways. If your concept is clear, then your confidence and capability of thinking will be more. Some of the meritorious students are unable to go to coaching classes. If they can follow me, probably it will help them a lot to understand mathematics in a simple way. For engineering, MBA, BBA, Economics, Pass course mathematics students these videos will be useful and of course the same for Mathematics Honors and M.Sc. students. You are always welcome to ask questions by mail - acubeofficial2020@gmail.com Please subscribe our channel . It will motivate us to do more videos. Also kindly give your suggestions and comment. For other videos , Please follow the links given below: 1. Complex Analysis - • Complex 2. Numerical - • Numerical 3. Statistics - • Statistics 4. Probability - • Probability 5. Differential calculus - • Differential Calculus 6. Entertainment lectures- • Entertainment 7. Laplace Transformation- • Laplace transform_lecture 1 8. Nonlinear Dynamics- • Nonlinear Dynamics _Lecture 1(Basics )