Learn why the Excel AGGREGATE function fails with arrays and how to fix value errors using helper columns or dynamic LAMBDA and BYROW formulas.

Excel's basic formulas work fine for simple calculations, but they quickly become cumbersome when you're dealing with complex data analysis. You end up with nested functions that are hard to read, ...

Almost everyone who's entered data into an Excel spreadsheet has a rough idea of what a range is. It's one of those concepts you don’t need to study, since you pick it up naturally as you use the ...

A radio telescope project known as the Deep Synoptic Array is moving forward. It aims to detect radio waves emitted by stars, ...

On Jan. 26, 2026, the Submillimeter Array (SMA) on Maunakea crossed an important threshold for time-domain astronomy. For the ...

Conditional formatting in Excel is often associated with basic tasks like highlighting cells based on their values, but its potential goes far beyond these surface-level features. My Online Training ...

In a previous post, I suggested a memory exercise based on mentally composing a two-act play and incorporating the items one wishes to memorize. Some readers objected to the additional requirement of ...

Investopedia contributors come from a range of backgrounds, and over 25 years there have been thousands of expert writers and editors who have contributed. Gordon Scott has been an active investor and ...

Daniel Jassy, CFA, is an Investopedia Academy instructor and the founder of SPYderCRusher Research. He contributes to Excel and Algorithmic Trading. David Kindness is a Certified Public Accountant ...

Compare the best free Microsoft Excel alternatives for 2026, including features, pricing, pros and cons, and use cases for each spreadsheet tool. The kinds of features you need from your spreadsheet ...

The common type of loudspeaker that uses a magnetic field to move a cone-shaped diaphragm. When alternating current (the audio signal) is applied to the coil, the diaphragm vibrates and causes air to ...