Symbol in context

$c$

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

Meanings in context

Article-grounded definition

Symbol c

the standing in for.

Read equation 32 in Every Crystal Has Its Own Speed of Light →

Article-grounded definition

Symbol c

trapped between roughly 2.

Read equation 5 in FunSearch Found New Mathematics Without Ever Understanding the Problem →

Article-grounded definition

Symbol c

the fitness cost the actor pays.

Read equation 1 in Why We Punish Strangers: The Evolution of Human Cooperation →

Article-grounded definition

Symbol c

the call it.

Read equation 9 in Why We Punish Strangers: The Evolution of Human Cooperation →

Article-grounded definition

Symbol c

the cost.

Read equation 1 in The Metabolism of Civilization: Energy to 2100 →

Article-grounded definition

Symbol c

the context length.

Read equation 2 in The Economics, Energy, and Physical Limits of Claude Code and Agentic Development Tools →

Article-grounded definition

Symbol c

the fixed cost.

Read equation 6 in Comparing the Main Approaches to Claude Code and Agentic Development Tools →

Article-grounded definition

Symbol c

the if a single red-team attempt costs.

Read equation 16 in What Alignment Actually Costs →

Article-grounded definition

Symbol c

a conditioning signal — most often a text embedding — and generation runs the process in reverse, starting from pure noise and repeatedly subtracting a predicted noise estimate.

Read equation 12 in Adapters, Native Pretraining, and Unified Tokens: The Main Multimodal Architectures, Compared →

Article-grounded definition

Symbol c

the expected cost.

Read equation 2 in Why Cost and Latency Belong in the Evaluation Score, Not a Footnote →

Article-grounded definition

Symbol c

the trouble with discarding.

Read equation 7 in Why Cost and Latency Belong in the Evaluation Score, Not a Footnote →

Article-grounded definition

Symbol c

the b wins on both.

Read equation 14 in Why Cost and Latency Belong in the Evaluation Score, Not a Footnote →

Article-grounded definition

Symbol c

the against a per-token base price.

Read equation 8 in How Claude Code's Memory Actually Persists Across Sessions →

Article-grounded definition

Symbol c

the cluster parameter [ 16 ].

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

Article-grounded definition

Symbol c

the complexity.

Read equation 37 in The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput →

Used in 85 equations

c

Ten Failure Modes That Define Production AI Agent Architectures · Equation 5

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

Equation guide → · This term → · Article →

c

Measuring AI Agent Reliability: What the Evidence Actually Supports · Equation 4

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

Equation guide → · This term → · Article →

\text{pass@}k \;:=\; \mathbb{E}_{\text{tasks}}\!\left[\, 1 \;-\; \frac{\binom{n-c}{k}}{\binom{n}{k}} \,\right]

Measuring AI Agent Reliability: What the Evidence Actually Supports · 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 →

\text{pass}^{k} \;:=\; \mathbb{E}_{\text{tasks}}\!\left[\, \frac{\binom{c}{k}}{\binom{n}{k}} \,\right]

Measuring AI Agent Reliability: What the Evidence Actually Supports · Equation 12

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

Equation guide → · This term → · Article →

c

Measuring AI Agent Reliability: What the Evidence Actually Supports · Equation 14

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

Equation guide → · This term → · Article →

c

How Claude Code's Memory Actually Persists Across Sessions · Equation 8

the against a per-token base price.

Equation guide → · This term → · Article →

\mathrm{Cost}_n = 1.25\,c\,T_p + (n-1)\,(0.1\,c\,T_p) + c\sum_{i=1}^{n} T_{v,i}

How Claude Code's Memory Actually Persists Across Sessions · Equation 9

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

Equation guide → · This term → · Article →

\forall V.\ \operatorname{packing}(V) \implies \exists c.\ \forall r.\ 1 \le r \implies \operatorname{card}\!\left(V \cap B(0,r)\right) \le \frac{\pi r^{3}}{\sqrt{18}} + c\,r^{2}

What a Proof Assistant Changes · 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 = \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 →

c

Patterning at the Limit: What Actually Happens When a Chip Is Manufactured · Equation 18

the cluster parameter [ 16 ].

Equation guide → · This term → · Article →

c \to \infty

Patterning at the Limit: What Actually Happens When a Chip Is Manufactured · Equation 19

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

Equation guide → · This term → · Article →

c

Patterning at the Limit: What Actually Happens When a Chip Is Manufactured · Equation 22

the cluster parameter [ 16 ].

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.

Equation guide → · This term → · Article →

c

When the Substrate Became the Product · Equation 4

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

Equation guide → · This term → · Article →

c = p_{\mathrm{in}} n + p_{\mathrm{cw}} w + p_{\mathrm{cr}} r + p_{\mathrm{out}} \left( y + z \right)

The Unit Economics of a Token · 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^{*} \;=\; \mathbb{E}\big[\, v(q) \;\big|\; c(q) \le p^{*} \,\big],

When Generation Becomes Free, Attention Becomes the Scarce Good · Equation 17

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 →

c(q)

When Generation Becomes Free, Attention Becomes the Scarce Good · Equation 20

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

Equation guide → · This term → · Article →

\frac{\partial^{2} c(s,\theta)}{\partial s \, \partial \theta} \;<\; 0,

When Generation Becomes Free, Attention Becomes the Scarce Good · Equation 23

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 →

c

What We Still Cannot Do: Open Problems in Frontier Model Systems · Equation 1

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

Equation guide → · This term → · Article →

\Pr(\text{correct} \mid \hat{c} = c) \approx c

What We Still Cannot Do: Open Problems in Frontier Model Systems · Equation 2

This equation gives an approximation: it relates the quantities while allowing an approximation.

Equation guide → · This term → · Article →

c

The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput · Equation 20

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

Equation guide → · This term → · Article →

AC(N)=\frac{F}{N}+c.

The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput · Equation 22

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

Equation guide → · This term → · Article →

c

The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput · Equation 32

the cost.

Equation guide → · This term → · Article →

t_r(q,c,e)

The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput · Equation 37

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

Equation guide → · This term → · Article →

c

The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput · Equation 39

the complexity.

Equation guide → · This term → · Article →

ccc

Meanings in context

Symbol c

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Used in 85 equations

$c$