## Engineer's Book

Engineers – Telecoms – Physics – Teaching – Innovations

## Algorithmics 04 – Prime Numbers – Erathostene Algorithm

Written By: Jean-Paul Cipria

Compiled Matlab Calculations – ©J.P. Cipria

How do Calculate the first Prime Numbers when we use Erathostene Methods ?

# Why use Prime Numbers when you are Physicist or an Engineer ?

## Then let’s try to do a multiplication ?

How you do it pratically ? You use « Classic Method » when you write first operand then you multiply with second operand less digit … then you do the same with second operand second digit with a base 10 shift. After all … you add all this operation N times. Then you did $N^2$ operations.

But we are physicists then we do $N=1000000$ multiplications for a single 3D radar signal. Then we performed $N^2=1 000 000 000 000$ single operations !!! That’s is boring for time, money, memory and computer availibility and Engineer skills !

## Lettre à la Main

Written By: Jean-Paul Cipria

## Robotics – Industrials 4

Written By: Jean-Paul Cipria

Here a small film on how to Program a Trajectory on a Defined Plan … then we 3D Change Referential Position and we perform the same Program. Whats Up, Doc ?

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Created :2017-05-18 18:03:34. – Modified : 2017-08-16 21:54:18.

26 views on 10/05/17.
37 : 12/05/17

Experiment in Progress.

Is’nt it Fun to be an Engineer and think in relative 3D space without beeing Einstein ? Do Financials think it’s a loss of public money ?

Let’s remember, technicians, that in 1969 an engineer waited that his auto-navigation computer controlled 3D attitude, altimeters, 6 relative speeds, radars, with a 0.000079 Gbyte ROM Program ! Then after a while this very cool pilot took his joïstick to change the automatic trajectory to « moon » on a plane position.

• « LEM from Houston, how’s your consumption ? » – « 10 seconds remaining that’s suffisant. » Answered the phlegmatic astronaute.

What’s up since 1969 ? How are technologies progress ? [CIPRIA-2017]

« What’s Up, Doc ? »  ©Cipria

Contents

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## Algorithmique 03 – Signal by Fourier Transforms- FFT – 3

Written By: Jean-Paul Cipria

FFT – Only One Partition – Execution Times Comparison – ©J.P. Cipria 2017.

How do a Fast Fourier Transform by Cooley and Tukey Algorithms ? Why High Potential with a high level QI don’t understand official physics memorization ? The answer is in the question : nobody ask you to … understand ! Then let’s read the original engineers experts ! Come Back to … 1964.

It is a simple demonstration in thesis annexis. Here is a resume. (Not so clear to read for you. We know it)

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Created :2017-05-10 13:08:46. – Modified : 2017-06-22 14:10:08.

Difficult ! Master Level.

26 views on 10/05/17.
37 : 12/05/17

Experiment in Progress.

# How do evaluate number of FFT Calculations Efficiency ?

## Cooley and Tukey Number of Calculations Evaluation

If we perform a Fourier Transform from the original document [COOLEY-TUKEY-1964] we take all $N$ decomposition terms $A(k)$ then we multiply each $k$ order term by exponential $exp(2.i.\pi.\frac{k.j}{N})$. We get a « frequential » $X(j)$ term.

We changed notation to $X(k)$ time and $F(n)$ frequency signals to match with engineer’s needs and … then we change also sign and recalibrate to $\frac{1}{\pi.N}exp(-2.i.\pi.\frac{k.n}{N})$ for energy conservation !!!

That’s all folks ?

« What’s Up, Doc ? »  ©J.P. Cipria.

Of Course … Not !

# (suite…)

## Engineering – Graphic Representation

Written By: Jean-Paul Cipria

Mustang – Dessin ©J.P. Cipria 2017.

How do we represent a concept, a structural form and a high light reflexion ?
Do you want a small car ? Why do small !!!

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Created :2017-05-04 20:30:41. – Modified : 2017-05-13 14:31:27.

QR Code – J.P. Cipria

Experiment in Progress.

# How do we Represent High Intensity Light Reflexion ?

## Do we Discover What we Really Think ?

Innovation, Conception, Engineering, Discovering occur when we