Symbol Y_pkg
kg is part of the quantity the equation computes from the expression on the right.
Read this term in its guide →Published equation contexts
Why this formula appears here
A multi-die package inherits a property that a single die does not have: its yield is a product, not a term. If a package contains dies with individual probabilities of being good, and the assembly itself succeeds with probability , then . Multiplication is brutal at scale. Eight components at 99 percent each land near 92 percent together before assembly loss is counted; the same eight at 95 percent land near 66 percent. And the loss is not proportional to the failing part — scrapping a package destroys every good die in it plus the assembly work. This is precisely why known-good-die testing dominates the discussion: the whole point is to move the …
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Symbol Y_assy
ssy is an input to the expression that computes the quantity on the left.
Read this term in its guide →Symbol i
i appears in the bound of this product. The bound states where the repeated operation starts, ends, or which values it includes.
Read this term in its guide →Symbol N
N appears in the bound of this product. The bound states where the repeated operation starts, ends, or which values it includes.
Read this term in its guide →Starting index or lower bound: i=1
This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.
Read this term in its guide →Ending index or upper bound: N
This label says where the repeated addition, multiplication, or accumulation stops. It sets the last term or end of the range.
Read this term in its guide →How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
Research cited beside this formula
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 14 · AI Hardware & Semiconductors
When the Substrate Became the Product
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
A multi-die package inherits a property that a single die does not have: its yield is a product, not a term. If a package contains dies with individual probabilities of being good, and the assembly itself succeeds with probability , then . Multiplication is brutal at scale. Eight components at 99 percent each land near 92 percent together before assembly loss is counted; the same eight at 95 percent land near 66 percent. And the loss is not proportional to the failing part — scrapping a package destroys every good die in it plus the assembly work. This is precisely why known-good-die testing dominates the discussion: the whole point is to move the …