Abstract: We use the concept of active antenna available power to derive a generalization of the Friis transmission formula for multiport antenna systems. With beamformer weights chosen, such that the ...

Abstract: The theory of arrays is ubiquitous in the context of software and hardware verification and symbolic analysis. The basic array theory was introduced by McCarthy and allows to symbolically ...

The introduction of dynamic arrays triggered the biggest change to how we work with Microsoft Excel formulas in years, if not decades. They allow a single formula to spill multiple results into ...

Have you ever followed a YouTube tutorial, carefully copied an Excel formula, and hit “Enter,” only to be met with an error or baffling results? It’s a ...

What if you could write Excel formulas that practically think for themselves—automatically adjusting to changes in your data without endless tweaking? With the introduction of the dot operator and the ...

I'm doing a lookup for settle dates stored elsewhere in my book. I pass the XLOOKUP result as an array, but the conversion doesn't happen on these (I've also had this happen with the FILTER function ...

Our formula handling does not currently consider e.g. SUM(A2:B2 * 1) an array formula. Despite Excel considering it an array formula. This leads to various bugs and issues. As an example, consider the ...

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