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Equation 3 · Part 2 · How Post-CMOS, Neuromorphic, Photonic, and Quantum AI Compute Actually Works

Symbol i

Ij=∑iVi GijI_j = \sum_i V_i\, G_{ij}
ii

What this part means

the cell at row.

Its job in the formula

i appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

Where the article explains it

By Ohm’s law, the cell at row i and column j draws a current ViV_i times its conductance GiG_ij.

The passage around this formula

The multiplication step follows directly from two textbook circuit laws. Apply a voltage ViV_i simultaneously to each row i, representing the i-th component of an input vector. By Ohm’s law, the cell at row i and column j draws a current ViV_i times its conductance GiG_ij. By Kirchhoff’s current law, every current flowing into a given column sums automatically on that column’s wire, so the total current collected at the…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.