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# ≈ vs. ~ --- Which symbol is more correct to use?

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For example:

log 4 ≈ 0.477

log 4 ~ 0.477

Which statement is more correct?

Note: I believe "≈" means "Almost equal to" or "Asympotic to." The other symbol, "~" means "Approximately."

Feb 14, 2017
edited by Guest  Feb 14, 2017
edited by Guest  Feb 14, 2017

#2
+26385
+10

For example:

log 4 ≈ 0.477

log 4 ~ 0.477

Which statement is more correct?

$$\begin{array}{|rcll|} \hline log 4 \approx 0.477 \quad \text{is correct, it means approximately } \\ \hline \end{array}$$

$${\displaystyle \sim }$$:
$${\displaystyle a\sim b} \qquad$$Equivalence relation between elements  $${\displaystyle a}$$ and $${\displaystyle b}$$
$${\displaystyle a\sim b} \qquad$$$${\displaystyle a}$$ is proportional to $${\displaystyle b}$$

Feb 14, 2017

#1
+37001
+4

FYI from Wikipedia regarding the tilde (~)      I think most people use ~  just one, because it is available on the keyboard.

This symbol (in English) informally[4] means "approximately", "about", or "around", such as "~30 minutes before", meaning "approximately 30 minutes before".[5][6] It can mean "similar to",[7] including "of the same order of magnitude as",[4] such as: "x ~ y" meaning that x and y are of the same order of magnitude. Another approximation symbol is the double-tilde ≈, meaning "approximately equal to",[5][7][8] the critical difference being the subjective level of accuracy: ≈ indicates a value which can be considered functionally equivalent for a calculation within an acceptable degree of error, whereas ~ is usually used to indicate a larger, possibly significant, degree of error. The tilde is also used to indicate "equal to" or "approximately equal to" by placing it over the "=" symbol, like so: ≅.

Feb 14, 2017
#2
+26385
+10

For example:

log 4 ≈ 0.477

log 4 ~ 0.477

Which statement is more correct?

$$\begin{array}{|rcll|} \hline log 4 \approx 0.477 \quad \text{is correct, it means approximately } \\ \hline \end{array}$$

$${\displaystyle \sim }$$:
$${\displaystyle a\sim b} \qquad$$Equivalence relation between elements  $${\displaystyle a}$$ and $${\displaystyle b}$$
$${\displaystyle a\sim b} \qquad$$$${\displaystyle a}$$ is proportional to $${\displaystyle b}$$

heureka Feb 14, 2017