Equation 3 · Part 4 · How Post-CMOS, Neuromorphic, Photonic, and Quantum AI Compute Actually Works
Symbol G_ij
What this part means
j is an input to the expression that computes the quantity on the left.
Its job in the formula
j is an input to the expression that computes the quantity on the left.
Full expression→Symbol G_ij→Article meaning
The passage around this formula
The multiplication step follows directly from two textbook circuit laws. Apply a voltage 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 times its conductance j. 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 bottom of column j is . which is precisely the j-th component of the matrix-vector product between the input vector and the conductance matrix stored across the array — computed in one step, in parallel across every cell, using nothing but the physics of the…
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
Open the illustrated subscripts: which member of a family? guide →
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.