Live mathematical reference
Symbols and notation
Symbols can mean different things in different articles. Definitions below are shown only when an equation guide or its article provides one; otherwise the entry identifies where to read the equation in context.
1506 symbols.
\varepsilon
21 equations
Symbol varepsilon: a number a data controller chooses and can disclose, and a smaller buys a stronger guarantee at the cost of more injected noise and correspondingly lower utility in the resulting synthetic data or model [ 9 ].
\varepsilon_{\mathrm{config}}
2 equations
Symbol varepsilon_config: noise contributed by harness, prompt, effort level, and grading choices, which can push the observed score in either direction.
\varphi_{ent}
5 equations
Entangling phase difference: The phase combination left after local phases of A and B cancel. It compares matching branch pairs (LL and RR) with crossed pairs (LR and RL). In an ideal balanced, pure two-branch state, its value modulo 2π determines the generated two-qubit entanglement.
\varphi_{ij}
1 equation
Phase of branch pair i,j: The dimensionless phase angle, in radians, acquired by the joint path in which mass A uses branch i and mass B uses branch j. Its individual value depends on phase convention; differences between branch-pair phases can affect interference and entanglement.
\varphi_{LL}
1 equation
Both masses on L: The gravitational phase when A takes its L branch and B takes its L branch. It enters with a plus sign in the invariant combination.
\varphi_{LR}
1 equation
A on L, B on R: The phase of the crossed branch pair. It is subtracted so phases belonging only to one local branch cancel out.
\varphi_{RL}
1 equation
A on R, B on L: The phase of the other crossed branch pair. It is also subtracted in the local-phase-invariant combination.
\varphi_{RR}
1 equation
Both masses on R: The gravitational phase when A takes its R branch and B takes its R branch. It also enters with a plus sign.