# Essentials  (Page 2/4)

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MATLAB accepts log10 for common (base 10) logarithm. To find the log of 10, type in log10(10) and press enter, (ans = 1).

Practice the following examples to familiarize yourself with the common mathematical functions. Be sure to read the relevant help and doc pages for functions that are not self explanatory.

Calculate the following quantities:

1. $\frac{2^{3}}{3^{2}-1}$ ,
2. $5^{0.5}-1$
3. $\frac{\pi }{4}d^{2}$ for d=2

MATLAB inputs and outputs are as follows:

1. $\frac{2^{3}}{3^{2}-1}$ is entered by typing 2^3/(3^2-1) (ans = 1)
2. $5^{0.5}-1$ is entered by typing sqrt(5)-1 (ans = 1.2361)
3. $\frac{\pi }{4}d^{2}$ for d=2 is entered by typing pi/4*2^2 (ans = 3.1416)

Calculate the following exponential and logarithmic quantities:

1. $e^{2}$
2. $\ln 5^{10}$
3. $\lg 10^{5}$

MATLAB inputs and outputs are as follows:

1. exp(2) (ans = 7.3891)
2. log((5^10)) (ans = 16.0944)
3. log10(10^5) (ans = 5)

Calculate the following trigonometric quantities:

1. $\cos \left(\frac{\pi }{6}\right)$
2. $\tan 45$
3. $\sin \pi +\cos 45$

MATLAB inputs and outputs are as follows:

1. cos(pi/6) (ans = 0.8660)
2. tan(45*pi/180) (ans = 1.0000)
3. sin(pi)+cos(45*pi/180) (ans = 0.7071)

## The format Function

The format function is used to control how the numeric values are displayed in the Command Window. The short format is set by default and the numerical results are displayed with 4 digits after the decimal point (see the examples above). The long format produces 15 digits after the decimal point.

Calculate $\theta =\tan \left(\frac{\pi }{3}\right)$ and display results in short and long formats.

The short format is set by default:

>>theta=tan(pi/3) theta =1.7321>>

And the long format is turned on by typing format long :

>>theta=tan(pi/3) theta =1.7321>>format long>>theta theta =1.732050807568877

## Variables

In MATLAB, a named value is called a variable. MATLAB comes with several predefined variables. For example, the name pi refers to the mathematical quantity π, which is approximately pi ans = 3.1416

MATLAB is case-sensitive, which means it distinguishes between upper- and lowercase letters (e.g. data, DATA and DaTa are three different variables). Command and function names are also case-sensitive. Please note that when you use the command-line help, function names are given in upper-case letters (e.g., CLEAR) only to emphasize them. Do not use upper-case letters when running functions and commands.

## Declaring variables

Variables in MATLAB are generally represented as matrix quantities. Scalars and vectors are special cases of matrices having size 1x1 (scalar), 1xn (row vector) or nx1 (column vector).

## Declaration of a scalar

The term scalar as used in linear algebra refers to a real number. Assignment of scalars in MATLAB is easy, type in the variable name followed by = symbol and a number:

a = 1

## Declaration of a row vector

Elements of a row vector are separated with blanks or commas.

Let's type the following at the command prompt:

b = [1 2 3 4 5]

We can also use the New Variable button to assign a row vector. In the tool strip, select Home>New Variable. This action will create a variable called unnamed which is displayed in the workspace. By clicking on the title unnamed, we can rename it to something more descriptive. By double-clicking on the variable, we can open the Variable Editor and type in the values into spreadsheet looking table.

what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
How can I make nanorobot?
Lily
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
how can I make nanorobot?
Lily
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
how did you get the value of 2000N.What calculations are needed to arrive at it
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