Sums and Products

In Corca, summation and product notation are structured operators with defined components. They contain bounds and an expression, and they remain editable as a single mathematical object.

Summation

A summation represents the total of a sequence of terms. The symbol used is the Greek capital sigma: (∑_i=1^n)(i).

Creating a summation

You can create a summation by typing its name and selecting the suggestion. Type sum, select Summation from suggestions. A summation structure appears with editable fields: (∑_^)().

Products

A product represents repeated multiplication of a sequence of terms. The symbol used is the Greek capital pi: (∏_k=1^n)(k).

Creating a product

You create a product in the same way as a summation. Type product, select Product from suggestions. A product structure appears with editable bounds and expression: (∏_^)()

Nested summations and products

Summations and products can contain other operators: (∑_i=1^n)((∏_j=1^m)(i+j)).

Each operator maintains its own bounds.

Summations and products in imported content

Summation and product notation imported from LaTeX or other formats is converted into structured operators. Example input:

\sum_{i=1}^{n} i

Result: (∑_i=1^n)(i)

Imported expressions behave exactly like native ones.