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2

1

$begingroup$

I'm coming from a software engineering background and not a mathematical one. You may have to explain the exact notation to me but I would really appreciate it. I want to represent one of my processes as a single mathematical formula.

If I have a starting integer A (lets say its 5)

I also have an array of numbers Z[] with n number of positions, lets say Z contains [1, .5, 2, .5, 1...]

I will iterate over n and decrement each iteration that Z[n] value from A until A reaches or goes below 0.

First Iteration

5 - Z[0] = 5 - 1 = 4
Second iteration

4-Z[1] = 4-.5 = 3.5
and so on...

3.5 - Z[2] = 3.5 - 2 = 1.5

1.5 - Z[3] = 1.5 - .5 = 1

1 - Z[4] = 1 - 1 = 0

The result I'm looking for is the final n value, in this example that would be 4. I'm trying to represent this process as a singular mathematical formula. From reading other posts I think the final result will be something similar to the below, but I'm honestly not too sure
$X=min{x∈N∣∑(formulaHere)<=0}$

Please and thank you!

notation computer-science

share|cite|improve this question

edited Mar 12 at 23:21

Mark S.

12.2k22771

asked Mar 12 at 23:10

Richard PolsonRichard Polson

112

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Just to clarify your question, are you asking about the general ideas/notation/perspective? Or about this particular problem (only), in which my first reaction is "why start with $A$ and subtract when you could ask when the sum first reaches or exceeds $A$?"?
  $endgroup$
  – Mark S.
  Mar 12 at 23:20
  
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @MarkS. Consider my mind blown. Thank you so much.
  $endgroup$
  – Richard Polson
  Mar 13 at 0:15
  

  
  
  
  

add a comment | 

2

1

$begingroup$

I'm coming from a software engineering background and not a mathematical one. You may have to explain the exact notation to me but I would really appreciate it. I want to represent one of my processes as a single mathematical formula.

If I have a starting integer A (lets say its 5)

I also have an array of numbers Z[] with n number of positions, lets say Z contains [1, .5, 2, .5, 1...]

I will iterate over n and decrement each iteration that Z[n] value from A until A reaches or goes below 0.

First Iteration

5 - Z[0] = 5 - 1 = 4
Second iteration

4-Z[1] = 4-.5 = 3.5
and so on...

3.5 - Z[2] = 3.5 - 2 = 1.5

1.5 - Z[3] = 1.5 - .5 = 1

1 - Z[4] = 1 - 1 = 0

The result I'm looking for is the final n value, in this example that would be 4. I'm trying to represent this process as a singular mathematical formula. From reading other posts I think the final result will be something similar to the below, but I'm honestly not too sure
$X=min{x∈N∣∑(formulaHere)<=0}$

Please and thank you!

notation computer-science

share|cite|improve this question

edited Mar 12 at 23:21

Mark S.

12.2k22771

asked Mar 12 at 23:10

Richard PolsonRichard Polson

112

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Just to clarify your question, are you asking about the general ideas/notation/perspective? Or about this particular problem (only), in which my first reaction is "why start with $A$ and subtract when you could ask when the sum first reaches or exceeds $A$?"?
  $endgroup$
  – Mark S.
  Mar 12 at 23:20
  
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @MarkS. Consider my mind blown. Thank you so much.
  $endgroup$
  – Richard Polson
  Mar 13 at 0:15
  

  
  
  
  

add a comment | 

$begingroup$

I'm coming from a software engineering background and not a mathematical one. You may have to explain the exact notation to me but I would really appreciate it. I want to represent one of my processes as a single mathematical formula.

If I have a starting integer A (lets say its 5)

I also have an array of numbers Z[] with n number of positions, lets say Z contains [1, .5, 2, .5, 1...]

I will iterate over n and decrement each iteration that Z[n] value from A until A reaches or goes below 0.

First Iteration

5 - Z[0] = 5 - 1 = 4
Second iteration

4-Z[1] = 4-.5 = 3.5
and so on...

3.5 - Z[2] = 3.5 - 2 = 1.5

1.5 - Z[3] = 1.5 - .5 = 1

1 - Z[4] = 1 - 1 = 0

The result I'm looking for is the final n value, in this example that would be 4. I'm trying to represent this process as a singular mathematical formula. From reading other posts I think the final result will be something similar to the below, but I'm honestly not too sure
$X=min{x∈N∣∑(formulaHere)<=0}$

Please and thank you!

notation computer-science

share|cite|improve this question

edited Mar 12 at 23:21

Mark S.

12.2k22771

asked Mar 12 at 23:10

Richard PolsonRichard Polson

112

$endgroup$

share|cite|improve this question

edited Mar 12 at 23:21

Mark S.

12.2k22771

asked Mar 12 at 23:10

Richard PolsonRichard Polson

112

share|cite|improve this question

edited Mar 12 at 23:21

Mark S.

12.2k22771

asked Mar 12 at 23:10

Richard PolsonRichard Polson

112

edited Mar 12 at 23:21

Mark S.

12.2k22771

edited Mar 12 at 23:21

Mark S.

12.2k22771

asked Mar 12 at 23:10

Richard PolsonRichard Polson

112

asked Mar 12 at 23:10

Richard PolsonRichard Polson

112