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

4 Pages |4292 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.**by
LearnOnline Through OCW

12 Pages|5329 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.**by
LearnOnline Through OCW

5 Pages |1614 Views

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

**Diﬀeomorphism function and Inverse function theorem.**by
LearnOnline Through OCW

5 Pages|4076 Views

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

**Derivatives of vector functions.**by
LearnOnline Through OCW

34 Pages |3069 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...

**Periodic functions and Fourier Series.**by
LearnOnline Through OCW

2662 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.**by
LearnOnline Through OCW

2653 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.**by
LearnOnline Through OCW

5 Pages|1432 Views

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

**Domain co domain and Rage of a function Vertical line test**by
Learners Planet.

1758 Views

In this session definition of function has been discussed in detail. What are the necessary conditions for a relation to be a function ? Vertical line...

**Real Functions video lectures for grade 11, 12 and JEE aspirants**by
Learners Planet.

1846 Views

Basics of functions, types of functions, real functions, types of numbers, domain of a functions, how to find the domain of trigonometric function,log...

**Graphs of real functions for grade 11, 12, high school students**by
Learners Planet.

1756 Views

Graphs of different types of functions,algebraic function, trigonometric functions, shifting of origin, modulus function, greatest integer function, l...

**Functions, domain, codomain and range of a function**by
Learners Planet.

1337 Views

In this session various examples of functions are taken and discussed. Under what conditions a relation can become a function. What are the rules for ...

**The implicit derivative function.**by
LearnOnline Through OCW

5 Pages |1581 Views

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

**6.087-08 Void and function pointers. Hash tables**by
LearnOnline Through OCW

23 Pages|2107 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.

...

**Error functions and Curve sketching**by
LearnOnline Through OCW

1773 Views

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

**Rules of differentiating exponents and logarithm functions**by
LearnOnline Through OCW

2144 Views

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

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

4 Pages |2811 Views

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

**The Hyperbolic Functions**by
Rishabh Dev

3454 Views

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

8 Pages |21339 Views

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

**c++ programming using functions & pointers**by
IT Expert

4144 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...