[Mathematica] Combining statements

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In summary, combining statements in Mathematica allows for the creation of more complex and efficient expressions, using logical operators, conditional expressions, and functions. This can affect the evaluation of code and may have limitations and restrictions, such as compatibility between different statements. It is important to have a good understanding of the syntax and capabilities of each statement before combining them.
  • #1
martix
169
5
FromDigits /@ Permutations[Range[9], {4}]

MapThread[Power, Transpose [FactorInteger[1234]]]

MapThread[Power, Transpose [FactorInteger[#]]] &[FromDigits /@ Permutations[Range[9], {4}]]

Expression 1 and 2 work, so why not 3?

General goal:
Find the factors of all permutations of the digits 1-9 with length 4(with the factors raised to their respective powers).
 
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  • #2
Shouldn't it be:
MapThread[Power, Transpose [FactorInteger[#]]]& @ (FromDigits /@ Permutations[Range[9], {4}])
?
 
  • #3
Indeed it should :) Thanks.
Minor mistake:
MapThread[Power, Transpose [FactorInteger[#]]]& /@ (FromDigits /@ Permutations[Range[9], {4}])
 

FAQ: [Mathematica] Combining statements

What is the purpose of combining statements in Mathematica?

The purpose of combining statements in Mathematica is to create more complex and powerful expressions that can perform multiple operations and calculations in a single line of code. This can save time and make code more efficient, particularly for repetitive tasks.

What are the different ways to combine statements in Mathematica?

There are several ways to combine statements in Mathematica, including using logical operators such as "&&" (AND) and "||" (OR) to combine conditions, using "If" and "Else" statements to create conditional expressions, and using functions such as "Table" and "Map" to perform operations on multiple elements at once.

Can you provide an example of combining statements in Mathematica?

One example of combining statements in Mathematica is using the "&&" operator to create a conditional expression. For instance, "If[x>0 && y>0, x+y, 0]" will return the sum of x and y if both variables are positive, and 0 otherwise.

How does combining statements affect the evaluation of code in Mathematica?

Combining statements can affect the evaluation of code in different ways. For example, using "If" statements can determine which parts of the code are executed based on certain conditions. Additionally, combining statements can change the order in which operations are performed, which can impact the final result.

Are there any limitations or restrictions when combining statements in Mathematica?

Yes, there are some limitations and restrictions when combining statements in Mathematica. For example, logical operators can only be used on boolean expressions, and certain functions may not be compatible with others when combined. It is important to understand the syntax and capabilities of each statement before attempting to combine them.

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