<< Chapter < Page Chapter >> Page >
  1. The y value oscillates above and below the horizontal or zero axis much like an ordinary sinusoid.
  2. The magnitude of the oscillations builds up with time reaching a maximum near the center of the graph when the sound emitted by each speaker is aboutequal. After that, the magnitude of the oscillations decreases with time.
  3. You can hear the zero crossings because a special sound is emitted whenever the function evaluates to zero.
  4. If you were to slow the output down to about three pulses per second, you could count the pulses and determine the exact values for x at which thezero crossings occur. (You could probably use this approach to find the roots of Cubic02 and Quadratic01 .)
  5. You would learn that the zero crossings occur every eight pulses most of the time for this sinc function.
  6. You would learn that there is no zero crossing at an x value of zero. Instead, the maximum value for y occurs for an x value of zero. There aresixteen pulses between zero crossings at the center of the graph.
  7. Insofar as zero crossing is concerned, you would learn that the function is symmetric about an x value of zero.
  8. If you have a good ear for memorizing a melody, you would learn that the function is symmetric about zero. The values for y on thepositive side of zero are a mirror image of the values for y on the negative side of zero.

Contents of the output file named Sinc01.txt

Listing 6 shows the output data values for this sinc function. (Note that the actual output from the program is a single long string. I manually inserted linebreaks every eight values to force the material to fit in this narrow presentation format. That also matches up with the zero crossings mentionedabove.)

If you examine this data, you will see that it supports the conclusions that were reached above based solely on the audio. For example, the first value on every line exceptthe eleventh line is either 0.0 or -0.0. On that line, the first value is 1.571, which is the largest value in the entire set of values. That value occurs at the center ofthe set of values and matches the peak frequency in the audio.

The values on both sides of that value are 1.531. This suggests that the symmetry conclusion reached above is probably correct. Further comparison of the corresponding values will confirm the symmetry andmirror image conclusion reached above .

Listing 6 . Contents of the output file named Sinc01.txt.
-0.0,-0.019,-0.036,-0.048,-0.053,-0.049,-0.038,-0.021, 0.0,0.022,0.04,0.054,0.059,0.055,0.043,0.024,-0.0,-0.024,-0.046,-0.061,-0.067,-0.063,-0.049,-0.027, 0.0,0.028,0.052,0.07,0.077,0.072,0.057,0.031,-0.0,-0.033,-0.061,-0.082,-0.091,-0.086,-0.067,-0.037, 0.0,0.039,0.074,0.1,0.111,0.106,0.083,0.046,-0.0,-0.049,-0.094,-0.127,-0.143,-0.137,-0.109,-0.061, 0.0,0.067,0.129,0.176,0.2,0.195,0.157,0.09,-0.0,-0.102,-0.202,-0.284,-0.333,-0.336,-0.283,-0.17, 0.0,0.219,0.471,0.739,1.0,1.232,1.414,1.531,1.571,1.531,1.414,1.232,1.0,0.739,0.471,0.219, 0.0,-0.17,-0.283,-0.336,-0.333,-0.284,-0.202,-0.102,-0.0,0.09,0.157,0.195,0.2,0.176,0.129,0.067, 0.0,-0.061,-0.109,-0.137,-0.143,-0.127,-0.094,-0.049,-0.0,0.046,0.083,0.106,0.111,0.1,0.074,0.039, 0.0,-0.037,-0.067,-0.086,-0.091,-0.082,-0.061,-0.033,-0.0,0.031,0.057,0.072,0.077,0.07,0.052,0.028, 0.0,-0.027,-0.049,-0.063,-0.067,-0.061,-0.046,-0.024,-0.0,0.024,0.043,0.055,0.059,0.054,0.04,0.022, 0.0,-0.021,-0.038,-0.049,-0.053,-0.048,-0.036,-0.019,-0.0,

Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
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?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
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
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
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?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get the best Algebra and trigonometry course in your pocket!





Source:  OpenStax, Accessible objected-oriented programming concepts for blind students using java. OpenStax CNX. Sep 01, 2014 Download for free at https://legacy.cnx.org/content/col11349/1.17
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Accessible objected-oriented programming concepts for blind students using java' conversation and receive update notifications?

Ask
Madison Christian
Start Quiz