Symbol in context

$x$

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

Meanings in context

Article-grounded definition

Symbol x

the writing.

Read equation 13 in The EV Formula Is an Exact Production Function Trainers Solved by Accident →

Article-grounded definition

Symbol x

then the duration at which the fitted curve crosses that threshold, i.

Read equation 5 in What Claude's Capability Evaluations Actually Measure →

Article-grounded definition

Symbol x

the integral of y with respect to.

Read equation 10 in The Machine Before Electronics →

Article-grounded definition

Symbol x

the arguments.

Read equation 23 in OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence →

Used in 118 equations

C(\theta) = \left\langle \psi_0 \right| V^{\dagger}(x)\, U^{\dagger}(\theta)\, A\, U(\theta)\, V(x) \left|\psi_0\right\rangle

How Post-CMOS, Neuromorphic, Photonic, and Quantum AI Compute Actually Works · Equation 4

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

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x

Every Crystal Has Its Own Speed of Light · Equation 3

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

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d(x,y)

Every Crystal Has Its Own Speed of Light · Equation 9

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

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d(x,y)

Every Crystal Has Its Own Speed of Light · Equation 10

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

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A_t(x)\in\{0,1\}

AI Feeds on the Distance Between an Intention and an Outcome · Equation 15

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

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A_t(x)=1

AI Feeds on the Distance Between an Intention and an Outcome · Equation 28

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

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\mathbf x

The Bend an Elevator Cannot Fake · Equation 5

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

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U(\mathbf x) := d\tau/dt

The Bend an Elevator Cannot Fake · Equation 6

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

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\phi(\mathbf x) := \ln U(\mathbf x)

The Bend an Elevator Cannot Fake · Equation 11

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

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W(\mathbf x) := \Phi_{\rm grav}(\mathbf x) - \tfrac12|\boldsymbol\Omega \times \mathbf r|^2

The Bend an Elevator Cannot Fake · Equation 52

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

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ds^2 = -U(\mathbf x)^2\,dx_0^2 + \delta_{ij}\,dx^i dx^j

The Bend an Elevator Cannot Fake · Equation 78

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

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\forall\, x \in B_\epsilon(x_0): \quad f(x) \in S,

Comparing the Main Approaches to AI and Cybersecurity · Equation 5

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

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x

The EV Formula Is an Exact Production Function Trainers Solved by Accident · Equation 13

the writing.

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f(x,y) = (296+x/4)(264+0.275y)

The EV Formula Is an Exact Production Function Trainers Solved by Accident · Equation 15

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=B

The EV Formula Is an Exact Production Function Trainers Solved by Accident · Equation 16

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

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\mathcal{L}(x,y,\lambda) = (296+\tfrac{x}{4})(264+0.275y) - \lambda(x+y-B)

The EV Formula Is an Exact Production Function Trainers Solved by Accident · Equation 17

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

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\tfrac{1}{4}(264+0.275y) = \lambda = 0.275\,(296+\tfrac{x}{4})

The EV Formula Is an Exact Production Function Trainers Solved by Accident · Equation 18

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

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y - x = 224

The EV Formula Is an Exact Production Function Trainers Solved by Accident · Equation 19

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

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\dot{x}_i = x_i\big(f_i(x) - \phi(x)\big)

The Type Chart Is a Payoff Matrix, and the Metagame Only Half-Solves It · Equation 14

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

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f_i(x) = \sum_j x_j\, U(i,j)

The Type Chart Is a Payoff Matrix, and the Metagame Only Half-Solves It · Equation 15

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

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\phi(x) = \sum_i x_i f_i(x)

The Type Chart Is a Payoff Matrix, and the Metagame Only Half-Solves It · Equation 17

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

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\mathrm{fl}(x \mathbin{\text{op}} y) = (x \mathbin{\text{op}} y)(1 + \delta), \qquad |\delta| \le u,

How Mathematics, Proof, and Scientific Computation Actually Work · Equation 1

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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\hat{x} = \arg\min_{x} \; \lVert Ax - b \rVert_2^2 + \lambda \lVert Lx \rVert_2^2,

How Mathematics, Proof, and Scientific Computation Actually Work · Equation 6

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

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\hat{f}(x) = f(x) + \varepsilon_{\text{disc}}(h) + \varepsilon_{\text{round}}(u) + \varepsilon_{\text{model}}

Comparing the Main Approaches to Mathematics, Proof, and Scientific Computation · 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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f(x)

Comparing the Main Approaches to Mathematics, Proof, and Scientific Computation · Equation 2

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

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f(x)

Comparing the Main Approaches to Mathematics, Proof, and Scientific Computation · Equation 5

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

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\hat{f}(x)

Comparing the Main Approaches to Mathematics, Proof, and Scientific Computation · Equation 6

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

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f(x,t)

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 1

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

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\frac{\partial f(x,t)}{\partial t} = D\,\frac{\partial^{2} f(x,t)}{\partial x^{2}}

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 2

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

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\frac{\partial p(x,t)}{\partial t} = -\frac{\partial}{\partial x}\big[\mu(x,t)\,p(x,t)\big] + \frac{\partial^{2}}{\partial x^{2}}\big[D(x,t)\,p(x,t)\big],

Einstein's Random Walk and the Mathematics of Genetic Drift · Equation 13

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

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Meanings in context

Symbol x

Symbol x

Symbol x

Symbol x

Used in 118 equations

$x$