# 0.11 Jbs2070-a general purpose audiograph program  (Page 6/16)

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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,```

what is the stm
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Rafiq
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LITNING
scanning tunneling microscope
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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
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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
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research.net
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sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
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Bharti
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absolutely yes
Daniel
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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?
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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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