Looking for a specific math notation

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The discussion focuses on finding a mathematical notation for contracting an expandable equation similar to the summation symbol. The product symbol, represented by an upper-case pi (∏), is identified as the appropriate notation for multiplying terms. For a finite number of factors, the notation is expressed as ∏_{i=1}^n C_i, while an infinite product is denoted as ∏_{i=1}^{∞} C_i. Additionally, it is noted that Roman numerals are not commonly used for indexing in mathematical expressions. The conversation concludes with appreciation for the clarification provided.
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I'm trying to write a contracted general equation for an expandable equation. Just like there's the summation symbol for sums, is there something for multiplying terms?

for example.. how do i contract the following?

$$C_{i}C_{ii}C_{iii}C_{iv}C_{v}...$$?
 
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iScience said:
I'm trying to write a contracted general equation for an expandable equation. Just like there's the summation symbol for sums, is there something for multiplying terms?

for example.. how do i contract the following?

$$C_{i}C_{ii}C_{iii}C_{iv}C_{v}...$$?
Similar to the symbol used for summations (upper-case sigma), there's another symbol that is used for products (upper-case pi).
$$\prod_{i = 1}^n C_i $$
This would be a product with a finite number (n) of factors.

If you meant this to be an infinite product, it would be
$$\prod_{i = 1}^{\infty} C_i $$

BTW, people generally don't use Roman numerals for indexes in mathematics expressions. What you wrote would usually be written as C1C2C3...
 
ah okay, thanks a lot mark44!
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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