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Piecewise-monotonic functions and their integration.

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

4 Pages |392 Views

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

Theorems on exponential and logarithm function.

Theorems on exponential and logarithm function.by LearnOnline Through OCW

12 Pages|412 Views

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

Definition of function.

Definition of function.by LearnOnline Through OCW

5 Pages |177 Views

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

Derivatives of vector functions.

Derivatives of vector functions.by LearnOnline Through OCW

34 Pages|200 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.

Diffeomorphism function and Inverse function theorem.by LearnOnline Through OCW

5 Pages |246 Views

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

Periodic functions and Fourier Series.

Periodic functions and Fourier Series.by LearnOnline Through OCW

182 Views

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

Unit step function.

Unit step function.by LearnOnline Through OCW

154 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...

Application of transform function.

Application of transform function.by LearnOnline Through OCW

5 Pages|54 Views

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

6.087-08 Void and function pointers. Hash tables

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

23 Pages |174 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.
...

The implicit derivative function.

The implicit derivative function.by LearnOnline Through OCW

5 Pages|86 Views

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

Trigonometric functions, identities and their derivatives.

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

4 Pages |313 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 functions

Rules of differentiating exponents and logarithm functionsby LearnOnline Through OCW

326 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 sketching

Error functions and Curve sketchingby LearnOnline Through OCW

252 Views

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

The Hyperbolic Functions

The Hyperbolic Functionsby Rishabh Dev

1334 Views

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

QTP Functions

QTP Functionsby chandra

8 Pages |5493 Views

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

c++ programming using functions & pointers

c++ programming using functions & pointersby IT Expert

1838 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...

Introducing hyperbolic function through exponent

Introducing hyperbolic function through exponentby LearnOnline Through OCW

251 Views

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

Theorems based on continuity of square root of a function.

Theorems based on continuity of square root of a function.by LearnOnline Through OCW

3 Pages|512 Views

The statements of the theorems on continuity of square root of a function for x approaching to zero and for x approaching to a are explained in the le...

Properties of sine and cosine functions.

Properties of sine and cosine functions.by LearnOnline Through OCW

9 Pages |427 Views

The basic properties of sin x and cos x are enlisted and with the help of these properties all other properties of trigonometric functions are derived...

Brain Function Flash Cards

Brain Function Flash Cardsby Cathy Terrell

5 Pages|418 Views

These flashcards are a study aid that can be used to study the material on parts of the brain and the functions of each part. Each card provides the ...

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