Concept

Condensed Notation for Pairing Real Vector Elements into Complex Numbers

A transformation that reinterprets a real-valued vector as a complex-valued vector by pairing adjacent elements can be expressed in a highly condensed notation. The source text presents this as x = x x ... x = x+ixx+ix...x+ix. This notation equates the original real-valued vector x (represented as a sequence x x ... x) with a new sequence of complex numbers. Each term x+ix in the sequence represents a complex number formed by pairing two consecutive elements from the original real vector, such as x_1 + ix_2, x_3 + ix_4, and so on.

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Updated 2026-01-15

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Ch.2 Generative Models - Foundations of Large Language Models

Foundations of Large Language Models

Foundations of Large Language Models Course

Computing Sciences