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Application of differential equation in real life

Date post: 15-Jan-2017
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Page 1: Application of differential equation in real   life

WELCOME

Page 2: Application of differential equation in real   life

DIFFERENTIAL EQUATION IN REAL LIFE

Page 3: Application of 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

Page 4: Application of differential equation in real   life

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

Page 5: Application of differential equation in real   life

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

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SOFTWARES

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

Page 7: Application of differential equation in real   life

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

Page 8: Application of differential equation in real   life

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.

Page 9: Application of differential equation in real   life

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.

Page 10: Application of differential equation in real   life

Mother Nature

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

Page 11: Application of differential equation in real   life

BOTs

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

Page 12: Application of differential equation in real   life

Artificial Intelligence

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

Page 13: Application of differential equation in real   life

NETWORKING

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

Page 14: Application of differential equation in real   life

In THEORIES & Explanations

Newton’s law of cooling

dθ/dt = −k(θ − θs)

where θ = θ(t)

θ = θo at t = 0.

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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

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In THEORIES & Explanations

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

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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

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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

Page 19: Application of differential equation in real   life

THANKS FOR THE PATIENCE ;)


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