June 23 Information

${\displaystyle X_{total}=X_{initial}+X_{additional}}$

Where the ${\displaystyle Xs}$ are physical properties of the same type (e.g. of energy, or of electric charge, and likewise).

Those physical properties don't have to be denoted by the same letter in the formula.

They should be denoted by not more than three letters, excluding indices if needed.

The indices: "total", "initial", "additional", mentioned above, don't have to be mentioned in the formula, either. They should be understood, though, from the standard meaning of the letters/indices mentioned in the formula. Therefore, formulas of the type ${\displaystyle E_{total}=E_{potential}+E_{kinetic}}$ should be ignored, because none of those Es (=energies) is usually interpreted as "initial".

"Initial" can also mean "basic".

HOTmag ( talk) 10:59, 23 June 2024 (UTC) reply

What about integrations, eg the amount of electric charge on an object = integration over time of the current flowing through a surface that encloses the object.? (+ initial charge) Graeme Bartlett ( talk) 11:21, 23 June 2024 (UTC) reply

I even avoid simpler formulas, e.g. of the type ${\displaystyle X_{total}=X_{initial}+YT,}$ not to mention ${\displaystyle X_{total}=X_{initial}+\int Ydt.}$ HOTmag ( talk) 12:05, 23 June 2024 (UTC) reply

Is Mass–energy equivalence#Low-speed approximation one of the "useful" formulas by your definition, as applied to the Parker Solar Probe? Mike Turnbull ( talk) 14:19, 23 June 2024 (UTC) reply

Your example uses too many letters. I must use three only (the Xs), and all of them should be of the same type, as indicated above. HOTmag ( talk) 16:03, 23 June 2024 (UTC) reply

That's a distinction without a difference. Just call it X_displacement if the letters Y and T offend you. DMacks ( talk) 21:30, 23 June 2024 (UTC) reply

Why can YT offend me? Because it also means YouTube? HOTmag ( talk) 06:59, 24 June 2024 (UTC) reply

"Where the ${\displaystyle Xs}$ are physical properties of the same type" - they have to be for the equation to make sense. see Dimensional Analysis. i can't off hand think of a non trivial equation that is simple enough for your requirements. weight_today=weight_yesterday+change_in_weight_per_day? Greglocock ( talk) 22:16, 23 June 2024 (UTC) reply

They have to be [of the same type], for the equation to make sense: Yes, of course. I'd only wanted to exclude hypothetical examples meaning eg: "What I like to talk about = energy + electric charge". Admittedly, it's only a hypothetical example, because it does not reflect any useful formula, whereas what I need should be a useful formula, as indicated in the title. This requirement also excludes your last suggestion. HOTmag ( talk) 06:59, 24 June 2024 (UTC) reply

How about ${\displaystyle m=m_{0}+\delta _{m}}$ from bare mass? -- Amble ( talk) 02:35, 24 June 2024 (UTC) reply

Yes, this is a good example. Anything else? HOTmag ( talk) 06:59, 24 June 2024 (UTC) reply

See equations under Equation_of_time#Mathematical_description such as "EOT = GHA - GMHA" and following. Also see ${\displaystyle h_{\alpha \beta }=g_{\alpha \beta }-\eta _{\alpha \beta }\,.}$ and following at Post-Newtonian expansion. In general, this type of equation comes up when you're trying to split a difficult problem into a larger part, which can be exactly solved, and a smaller part, which can be treated as a perturbation. -- Amble ( talk) 17:10, 24 June 2024 (UTC) reply

Thank you. To me, the time formulas are better than the Post Newtonian expansions, because I need precise equations rather than approximations. HOTmag ( talk) 18:20, 24 June 2024 (UTC) reply

Does it have to be symbolic, or does this count: "When the voltage is increased by 100 volts, the new voltage will be 150 V + 100 V = 250 V" ^[1]?  -- Lambiam 06:52, 24 June 2024 (UTC) reply

As indicated in the title, the example should be a useful formula, so yes it has to be symbolic. HOTmag ( talk) 06:59, 24 June 2024 (UTC) reply