Equation 5 · Part 11 · Comparing the Main Approaches to Chiplets and Advanced Packaging
Ending index or upper bound: N
What this part means
This label says where the repeated addition, multiplication, or accumulation stops. It sets the last term or end of the range.
Its job in the formula
N appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.
Full expression→Ending index or upper bound: N→Article meaning
The passage around this formula
The bill for that proximity arrives as heat, and it arrives in a specific, structural way rather than as a vague “3D runs hotter” intuition. A stack has exactly one face in contact with the package’s heat-removal path — typically the topmost die, under a lid or heat spreader — so the temperature rise at a given tier depends on everything the heat has to cross to reach that face: . where P is the power dissipated at that tier and each is the thermal resistance of one layer already between that tier and the heat sink — die bulk, bonding interface, or an intervening active tier. A tier two layers from the heat-removal face inherits the resistance of…
Learn the underlying idea
Σ adds a collection of terms. Π multiplies them. The lower and upper labels tell you which terms belong to the collection.
Open the illustrated sums and products: repeat an operation over an index guide →
See this notation across published equations →
Sources cited in the article section
- [6] Chiplets: Piecing Together the Next Generation of Chips (Part I) ↗
- [11] Architecture, Dataflow and Physical Design Implications of 3D-ICs for DNN-Accelerators ↗
These citations provide research context; check each source for the exact claim it supports.