Symbol in context

$Y$

This entry links every published equation using this exact notation. Its meaning may change between equations.

Meanings in context

Article-grounded definition

Symbol Y

the expected fraction of working die.

Read equation 4 in Advanced Semiconductor Fabrication in Practice: An Advanced Technical Guide →

Article-grounded definition

Symbol Y

the dimensionless factor capturing geometry and loading.

Read equation 11 in Why Materials Fail: Fracture, Flaws and the Inspection Interval →

Article-grounded definition

Symbol Y

the widely used negative binomial form.

Read equation 15 in Patterning at the Limit: What Actually Happens When a Chip Is Manufactured →

Used in 25 equations

Y=-i\mathbf v\cdot\mathbf K/\hbar

The Clock That Comes Back Wrong by Exactly Its Mass · Equation 32

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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[X,Y]=\frac{im}{\hbar}\,\mathbf b\cdot\mathbf v\,\mathbb 1.

The Clock That Comes Back Wrong by Exactly Its Mass · Equation 33

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Equation guide → · This term → · Article →

[X,Y]

The Clock That Comes Back Wrong by Exactly Its Mass · Equation 34

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Equation guide → · This term → · Article →

Y

The Clock That Comes Back Wrong by Exactly Its Mass · Equation 36

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Equation guide → · This term → · Article →

Y

Forty Million Clicks Through One Uneven Door · Equation 8

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Equation guide → · This term → · Article →

Y=1

AI Feeds on the Distance Between an Intention and an Outcome · Equation 27

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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\mathcal{N}_m(B)=\left\{(g,h):\operatorname{LCB}_{0.95}\!\left[\Pr(Y=1\mid m,g,h,B)\right]\ge p^*\right\},

AI Feeds on the Distance Between an Intention and an Outcome · Equation 29

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

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Y

Nucleosynthesis Is Descent With Modification · Equation 6

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Equation guide → · This term → · Article →

Z \equiv 1 - X - Y

Nucleosynthesis Is Descent With Modification · Equation 8

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Equation guide → · This term → · Article →

Y

Cities Are Organisms That Refuse to Die: Urban Evolution to 2100 · Equation 1

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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Y(N) = Y_0 \, N^{\beta}

Cities Are Organisms That Refuse to Die: Urban Evolution to 2100 · Equation 3

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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Y = e^{-A_c D_0}

Advanced Semiconductor Fabrication in Practice: An Advanced Technical Guide · Equation 4

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Equation guide → · This term → · Article →

TP(Y \mid X) = \frac{\text{frequency of } X \text{ followed by } Y}{\text{frequency of } X}

The Language Instinct on Trial: Chomsky, Pinker, and the Pirahã · Equation 1

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Equation guide → · This term → · Article →

P(Y \mid X) = \prod_{t=1}^{T} P(y_t \mid y_{<t}, X).

The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study · Equation 1

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

Equation guide → · This term → · Article →

Y

The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study · Equation 5

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Equation guide → · This term → · Article →

Y = \left( \int_{0}^{1} y(s)^{\frac{\sigma-1}{\sigma}} \, ds \right)^{\frac{\sigma}{\sigma-1}},

The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study · Equation 7

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Equation guide → · This term → · Article →

K = Y\,\sigma\sqrt{\pi a}.

Why Materials Fail: Fracture, Flaws and the Inspection Interval · Equation 11

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Equation guide → · This term → · Article →

Y

Why Materials Fail: Fracture, Flaws and the Inspection Interval · Equation 14

the dimensionless factor capturing geometry and loading.

Equation guide → · This term → · Article →

Y = \left(1 + \frac{D S}{c}\right)^{-c},

Patterning at the Limit: What Actually Happens When a Chip Is Manufactured · Equation 15

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Equation guide → · This term → · Article →

Y = e^{-D S}

Patterning at the Limit: What Actually Happens When a Chip Is Manufactured · Equation 20

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Equation guide → · This term → · Article →

Y(2S) = Y(S)^2

Patterning at the Limit: What Actually Happens When a Chip Is Manufactured · Equation 21

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Equation guide → · This term → · Article →

Y(A) = \left(1 + \frac{D_0 A}{c}\right)^{-c},

When the Substrate Became the Product · Equation 1

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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\Delta \ln w \;=\; \Delta \ln\!\left(\frac{Y}{L}\right) \;+\; \Delta \ln s_{L}

What the Machine Breakers Actually Wanted · Equation 1

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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Y/L

What the Machine Breakers Actually Wanted · Equation 3

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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\Delta \ln L \;=\; \underbrace{\eta \, \Delta \ln Y}_{\text{productivity}} \;-\; \underbrace{\int_{I}^{I+\Delta I} s(x)\,dx}_{\text{displacement}} \;+\; \underbrace{\int_{N}^{N+\Delta N} s(x)\,dx}_{\text{reinstatement}}

What the Machine Breakers Actually Wanted · Equation 5

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Equation guide → · This term → · Article →

YYY

Meanings in context

Symbol Y

Symbol Y

Symbol Y

Used in 25 equations

$Y$