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Functions Tutorials

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Periodic functions and Fourier Series.by LearnOnline Through OCW

805 Views

"Periodic functions, for example the heartbeat, or the sound of a
violin, or innumerable electronic signals are defined and explained. The basi...

Derivatives of vector functions.by LearnOnline Through OCW

34 Pages|801 Views

Given x , a point on the n dimensional vector space and f(x) is a scalar function of x, then the derivative of f is defined and is represented by a ro...

Diﬀeomorphism function and Inverse function theorem.by LearnOnline Through OCW

5 Pages |1193 Views

A bijection, differentiable function is called a diﬀeomorphism if inverse of the function is also differentiable. The inverse function theorem and oth...

Definition of function.by LearnOnline Through OCW

5 Pages|438 Views

Few terms such as function, domain of a function, range of a function are defined. Injective function, surjective function and bijective function are ...

Theorems on exponential and logarithm function.by LearnOnline Through OCW

12 Pages |1503 Views

The exponential and logarithm functions are defined and explained. Important theorems on these functions are stated and proved. The graph of the logar...

Piecewise-monotonic functions and their integration.by LearnOnline Through OCW

4 Pages|1260 Views

Definition of Piecewise monotonic function is given and discussed in this note. Rieman condition is applied to prove the integrability of such functio...

Application of transform function.by LearnOnline Through OCW

5 Pages |264 Views

The transfer Function is defined and discussed.A function transforming the input signal to the output is called the transfer function. Application of ...

Unit step function.by LearnOnline Through OCW

835 Views

"The function with jump discontinuity is known as the unit step function. The graph of the unit step function is drawn and the Laplace transform of th...

6.087-08 Void and function pointers. Hash tablesby LearnOnline Through OCW

23 Pages |704 Views

In this lecture notes we are going to study about void and function pointers, Hash tables.Here it is briefly explained about Hash functions also.
...

Trigonometric functions, identities and their derivatives.by LearnOnline Through OCW

4 Pages|963 Views

The idea of trigonometric functions is introduced through the definition of an angle. The most important trigonometric identities are enlisted for qui...

Rules of differentiating exponents and logarithm functionsby LearnOnline Through OCW

889 Views

It gives the geometrical explanation of exponential and logarithm functions and shows the use of implicit derivation to find the derivative of exponen...

Error functions and Curve sketchingby LearnOnline Through OCW

704 Views

Error function is derived through approximation of derivatives. Change of speed of a satellite is calculated here. Quadratic approximation is explaine...

The implicit derivative function.by LearnOnline Through OCW

5 Pages |362 Views

The implicit derivative function is stated and explained. Directional derivative of a function is defined and analysed. Few propositions such as the t...

The Hyperbolic Functionsby Rishabh Dev

2083 Views

The hyperbolic functions. A comparison with the circular functions. The derivatives & integrals of the hyperbolic functions.

QTP Functionsby chandra

8 Pages |14843 Views

User defined Functions for QTP Testing. This document describes Sub procedures, Function Procedures.

Formulas of derivative and integration of trigonometric functions.by LearnOnline Through OCW

2031 Views

The basic formulas of integrating trigonometric functions are explained by Prof. David Jerison in this video tutorial. Application of these formulas a...

Maximise and minimise a function at the boundary.by LearnOnline Through OCW

6 Pages |650 Views

How to maximise and minimise a function at the boundary are discussed in this lecture note. The method of Lagrange multipliers is used to get the mini...

c++ programming using functions & pointersby IT Expert

2642 Views

In C++ Functions are submodules . Function must return a value but procedures need not to return a value. Pointers can be used for memory reference in...

Derivative of a function.by LearnOnline Through OCW

4 Pages |561 Views

The derivative of a function is defined. The conditions that a function is derivable at a point are discussed. Gradient and tangen of hyperplane are e...

Introducing hyperbolic function through exponentby LearnOnline Through OCW

504 Views

Differentiating exponential functions by various methods is shown. The rule of differentiating a power is analysed through examples. Revision of gener...