https://bugs.documentfoundation.org/show_bug.cgi?id=164507

--- Comment #2 from Óvári <[email protected]> ---
https://support.microsoft.com/en-gb/office/pivotby-function-de86516a-90ad-4ced-8522-3a25fac389cf

A lambda function or eta reduced lambda (SUM, AVERAGE, COUNT, etc) that defines
how to aggregate the values.


-----------------------------------

https://support.microsoft.com/en-us/office/groupby-function-5e08ae8c-6800-4b72-b623-c41773611505

An explicit or eta reduced lambda (SUM, PERCENTOF, AVERAGE, COUNT, etc) that is
used to aggregate values.

A vector of lambdas can be provided. If so, the output will have multiple
aggregations. The orientation of the vector will determine whether they are
laid out row- or column-wise.


----

https://spreadsheetweb.com/exploring-eta-lambda-in-excel-a-comprehensive-and-detailed-guide-with-examples/

A. What is Eta Lambda?
======================

What is Eta Lambda? Eta Lambda refers to the application of eta reduction, a
concept from lambda calculus, to Excel functions. In simple terms, eta
reduction eliminates unnecessary layers of abstraction, allowing for a more
concise representation of functions.

B. Technical Background: Eta Reduction in Lambda Calculus
=========================================================

In lambda calculus, functions like:

LAMBDA(x, SUM(x))

can be simplified to:

SUM

This works because the SUM function and the LAMBDA function wrapping it behave
identically for all inputs.

Excel incorporates this principle into dynamic functions, allowing you to skip
the LAMBDA wrapper if you are only applying a single function. For example:

=BYROW(array, LAMBDA(x, SUM(x)))

can be simplified to:

=BYROW(array, SUM)

C. Benefits of Eta Lambda
=========================

1. Concise Syntax: Reduces verbosity, making formulas shorter and easier to
write.
2. Improved Readability: Simplified formulas are easier for collaborators to
understand.
3. Dynamic Adaptability: Automatically adjusts to changes in data ranges or
structures.
4. Error Reduction: Minimizes the risk of mistakes caused by overly complex
formulas.
5. Streamlined Maintenance: Easier to debug and update formulas.

D. Functions Compatible with Eta Lambda
=======================================

Eta Lambda works with Excel's dynamic array functions, which are designed to
process arrays, rows, and columns dynamically. These include:
* BYROW: Applies a function to each row in a range.
* BYCOL: Applies a function to each column in a range.
* SCAN: Generates running totals or cumulative values across an array.
* REDUCE: Aggregates values in an array using a custom operation.

E. Detailed Examples of Eta Lambda in Action
============================================

1. Using BYROW with SUM
-----------------------

Objective: Calculate the total score for each student.

Formula with LAMBDA:

=BYROW(B3:F6, LAMBDA(x, SUM(x)))

Simplified Formula with Eta Lambda:

=BYROW(B3:F6, SUM)

2. Using BYROW with AVERAGE
---------------------------

Objective: Calculate the average score for each student.

Formula with LAMBDA:

=BYROW(B3:F6, LAMBDA(x, AVERAGE(x)))

Simplified Formula with Eta Lambda:

=BYROW(B3:F6, AVERAGE)

3. Using BYROW with MAX
-----------------------

Objective: Find the highest score for each student.

Formula with LAMBDA:

=BYROW(B3:F6, LAMBDA(x, MAX(x)))

Simplified Formula with Eta Lambda:

=BYROW(B3:F6, MAX)

4. Using BYCOL with SUM
-----------------------

Objective: Calculate the total score for each quiz.

Formula with LAMBDA:

=BYCOL(B3:F6, LAMBDA(x, SUM(x)))

Simplified Formula with Eta Lambda:

=BYCOL(B3:F6, SUM)

5. Using SCAN for Running Totals
--------------------------------

Objective: Compute a running total for Alice’s scores.

Formula:

=SCAN(0, B3:F3, LAMBDA(a, b, a + b))

6. Using REDUCE for Aggregation
-------------------------------

Objective: Find the cumulative sum of all scores in the dataset.

Formula with LAMBDA:

=REDUCE(0, B3:F6, LAMBDA(a, b, a + b))

Simplified Formula with Eta Lambda:

=REDUCE(0, B3:F6, SUM)

F. Practical Applications of Eta Lambda
=======================================

1. Employee Performance Analysis:
* Use BYROW to calculate total scores for individual employees.
* Use BYCOL to evaluate department-level performance metrics.

2. Financial Dashboards:
* Use SCAN for monthly cumulative revenue.
* Use REDUCE to calculate annual totals dynamically.

3. Inventory Management:
* Use BYROW to calculate inventory usage per product.
* Use BYCOL to determine total stock for each category.

4. Dynamic Reporting:
* Build auto-updating reports with SCAN for progressive summaries and REDUCE
for final aggregates.

G. Best Practices for Using Eta Lambda
======================================

1. Start Simple: Begin with straightforward operations like SUM or AVERAGE to
familiarize yourself with the syntax.
2. Plan Your Data Structure: Dynamic functions work best with clean,
well-structured datasets.
3. Test Before Simplifying: Ensure formulas behave as expected before applying
eta reduction.
4. Document Your Formulas: Add comments to clarify the purpose of complex
calculations.

H. Conclusion
=============

Eta Lambda is a powerful addition to Excel’s functionality, enabling users to
simplify dynamic calculations without sacrificing accuracy or flexibility. By
leveraging functions like BYROW, BYCOL, SCAN, and REDUCE, you can streamline
your workflows, reduce errors, and improve the clarity of your formulas.

If you’re looking to transform your Excel spreadsheets with the latest
innovations, Eta Lambda is an essential tool to explore. Try it out in your
next project and experience the benefits firsthand!

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