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http://reference.wolfram.com/mathematic … Image.html

Can I count the number of balls in my monte carlo simulation model that I posted in the other thread?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 89,002

Hi;

Post processing will not beat pre-processing in this case.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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I beg your pardon?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 89,002

Sorry, I forgot that in your case this does not apply.

Enter this:

Dimensions[circles]

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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In a new notebook?

That returns the same thing because circles is not defined

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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The problem is to count the number of circles inside the quadrant and outside the quadrant in this picture?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 89,002

Each help page is a notebook. Most of the time you can run the cells as if you had entered them. You can also add your own commands.

But to make life easier for you right now copy the commands to a new notebook and run them. Tell me when you have completed that task.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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```
In[3]:= Dimensions[circles]
Out[3]= {}
```

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 89,002

Did you copy the help commands and run them?

**In mathematics, you don't understand things. You just get used to them.**

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What commands are you talking about?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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The OP has posted a link. In[58] and In[59] are called cell labels. They are the names of the cells that have the commands that generated Out[61]. Highlight In[58] and In[59] and copy them to a new notebook.

**In mathematics, you don't understand things. You just get used to them.**

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I've already tried doing it and it works. But why do you want me to do that?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Did you run

Dimensions[circles]

**In mathematics, you don't understand things. You just get used to them.**

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After that? No

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 89,002

Can I count the number of balls in my monte carlo simulation model that I posted in the other thread?

If you run Dimensions[circles] after running the other two that question will be answered.

**In mathematics, you don't understand things. You just get used to them.**

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Using which picture? That of the cells or my model?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 89,002

There are 2 cells that need to run. They are in M's help. Copy and paste them. Then run them. Then you run the command I posted to you.

From there we can try to answer the OP's question.

**In mathematics, you don't understand things. You just get used to them.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,853

Hi,

I'm really only watching this thread because although the topic's too advanced for me I'm interested in the idea of M counting shapes in an image...just out of curiosity.

Here's an image of what I did in M.

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 89,002

Hi;

Did you see the result of the Dimensions command? Notice the first number which is 31.

**In mathematics, you don't understand things. You just get used to them.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,853

Hi Bobby,

Yes, I did see the result of the Dimensions command, and noticed that the first number (31) is the count of the red circles. What does the '2' represent?

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,853

This is the result I got when replacing the OP's 'drawing' with an image of it taken from the OP's page.

I suppose the reduction in the sharpness of the image accounts for the discrepancies in circle identification when compared with the original. The count being the same would be a fluke.

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 89,002

Hi;

The two tells us it is an array of 31 elements of 2 each.

I would say the 31 is a coincidence in the smeared out drawing. But it is not in the sharp image.

**In mathematics, you don't understand things. You just get used to them.**

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Who is OP?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,853

Hi Agnishom

Who is OP?

I don't know...was just following bobbym's lead in post #11.

bobbym wrote:

I would say the 31 is a coincidence in the smeared out drawing. But it is not in the sharp image.

phrontister wrote:I suppose the reduction in the sharpness of the image accounts for the discrepancies in circle identification when compared with the original. The count being the same would be a fluke.

I increased the size of the OP's original image with ImageResize[i, {420, 280}] - those are the output dimensions - and copied the resized image with a screen capture using SnagIt...which came up nice and sharp. I replaced the code's image with SnagIt's, quit M, reran M and got exactly the same result as the original.

This was just to test the program on an actual imported image.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 89,002

Hi;

OP means original poster.

**In mathematics, you don't understand things. You just get used to them.**

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