Application of differential equation in real life

Post on 15-Jan-2017

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WELCOME

DIFFERENTIAL EQUATION IN REAL LIFE

Engineers

Tanjil Hasan ID-161-15-1015Mehjabin tabassum ID-161-15-1018Humaira khanam ID-161-15-1002Rita Rani Roy ID-143-15-158Mahmudul Hasan ID-161-15-995

Differential Equation is an equation involving derivatives of a function or functions

Application❖Creating Softwares❖Constraint Logic Programming❖Creating Games , Aspects of Algorithms❖Mother Nature❖Bots❖Artificial Intelligence ❖Networking❖In THEORIES & Explanations

SOFTWARES

The use of differential equations to understand computer hardware belongs to applied physics or electrical engineering.

Constraint Logic Programming

A constraint logic program is a logic that contains constraints in the body of clauses

Its very nessiciate for many Terms of Civil Engineering, ME, DE & Most importabtly this includes differebtial Equations

GAMING FEATURESDifferential equation

is used to model the velocity of a character.Differential equations is an essential tool for describing t./.he nature of the physical universe and naturally also an essential part of models for computer graphics and vision.

Aspects of Algorithms

Machine learning- it includes computer vision. Also involves solving for certain optimal conditions or iterating towards a solution with techniques like gradient descent or expectation maximization.

Mother Nature

Differential equations is an essential tool for describing the nature of the physical universe

BOTs

PDEs, ODE equation like this helps to provide shape and interior and exterior designs of machine

Artificial Intelligence

MR images demonstrate, thin-plate spline (TPS),Images generated using sensitivity encoding (SENSE),Gaussian kernel smoothed (GKS)

NETWORKING

To understand a outcome of a edge creation model like preferential attachment which says that nodes with probability proportional to their existing degrees.

In THEORIES & Explanations

Newton’s law of cooling

dθ/dt = −k(θ − θs)

where θ = θ(t)

θ = θo at t = 0.

In THEORIES & Explanations

Exponential DecayThe rate of decay of a radioactive substance at a time t is proportional to the mass x(t) of the substance left at that time

In THEORIES & Explanations

Physical Laws:Gauss’s law in electrostatics, magnetism & gravity. Continuity equations- In fluid dynamics, electromagnetism, quantum mechanics, relativity theory

In THEORIES & Explanations

If a temperature is kept constant, the velocity of chemical reaction is proportional to the product of the concentration of the substance which is reacting

In THEORIES & Explanations

The triangle is formed by imaginary lines connecting Bermuda, Puerto Rico, and Miami, Florida. Use a determinant to estimate the area of the Bermuda Triangle

THANKS FOR THE PATIENCE ;)