← All parts of this equation

Equation 24 · Part 2 · No Particle Without a Cosigner

Symbol x

Ddet(x,y)=12∫0∞dΩ ∣px(Ω)−py(Ω)∣.D_{\rm det}(x,y) = \frac12 \int_0^\infty d\Omega\, \big| p_x(\Omega) - p_y(\Omega) \big|.
xx

What this part means

x is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

x is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

The passage around this formula

defined whenever the denominator is finite and nonzero. Given two such normalized spectra, for a detector on worldline x and a detector on worldline y , define their disagreement as the total variation distance between the two probability densities: Ddet(x,y)=12∫0∞dΩ ∣px(Ω)−py(Ω)∣D_{\rm det}(x,y) = \frac12 \int_0^\infty d\Omega\, \big| p_x(\Omega) - p_y(\Omega) \big|. This is the object this article is actually about, so its bookkeeping has to be stated in full before any number is produced. DdetD_{\rm det} is a map…

Read this part in the article →

Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

Open the illustrated functions: inputs become outputs guide →

See this notation across published equations →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.