The tilde symbol (~) in math can have different meanings depending on the context: 1. Approximation: It is often used to indicate that a number is approximately equal to another number. For example, π ~ 3.14 means that π is approximately equal to 3.14. 2. Proportionality: In some contexts, it represents proportionality. For example, y ~ x can mean that y is proportional to x. 3. Asymptotic Behavior: In calculus or higher-level mathematics, the tilde can indicate that two functions have similar growth rates as they approach a certain point. For example, f(x) ~ g(x) means that f(x) and g(x) behave similarly as x goes to infinity. 4. Equivalence Relations: It can also be used to represent an equivalence relation. For example, a ~ b means that a is equivalent to b in some specified way (e.g., congruent modulo a number). Its exact meaning depends on the field of mathematics and the context in which it is used.
Thanks Gary. As always, I find all of your videos very informative. One quick question on this one. I find it hard to read the answers when in daylight mode on my Mac, being the answers are shown in a light orange on a white background. Is there any way to change the answers of the calculated total to a different darker color other than the default color?
Conversions using gallons are very useful when working out the costs of running a car. But I wonder if it only handles US gallons, or whether it will do Imperial gallons in the UK.
Excellent video, as always. Notes will autocomplete a suggested unit for conversions, such as quarts to liters. Is there a way to force a different destination unit? Suppose, for example, I wanted to convert fluid ounces to gallons (the default new unit is liters)?
the ~ function seems to have the following rule: the second number has no impact on the result, and if the first number is n, then n~.=n x (1+2+2^2+2^3+...+2^64). I don't know what it is used for.
I'm sure now it is a bitwise NOT. So imagine 64 bits, with the value of the number before the ~. Then invert 1s and 0s. So the number one is 63 0s and a 1. But 1~ is 63 1s and a 0.
@@macmost I am a Microsoft Excel user, so I use those Excel formula functions a lot. As shown in your video, it does look like we are entering a sort of formula functions like in the Excel, that is why I said that.
Not sure what you mean. Filters in Numbers hides rows of a table based on criteria. But in Math Notes you don't have tables or rows. Maybe take a step back and explain what you want to do.
I have a spreadsheet in Apple Number. Unlike MS Excel and Google Sheets Apple Numbers doesn’t have “FILTER” function which I want to use to perform a task.
@@gajendrajangid7789 What task though? I can't help without knowing what you are trying to do. Since this is getting off-topic here, ask at macmost.com/ask and I'll see if I can help.
Thanks for another awesome video!
The ~ is a bitwise operator for inverting all the bits in a number.
Thanks very much, Gary, for tihis informative video! These new maths functions will be incredibly useful.
Thank you very much for the presentation. The features presented look like those of the Qalc application in VSCode.
Excellent tutorial. Very comprehensive. Many thanks!
This would have been sooo useful while I was in college. Really impressive.
Wow 🤩
Thanks again, Gary. This is a _real_ game changer!
A very useful and informative video tutorial today! Thank you, Gary! 👏🏻❤️
It's like Numbers without making a spreadsheet.
The tilde symbol (~) in math can have different meanings depending on the context:
1. Approximation: It is often used to indicate that a number is approximately equal to another number. For example, π ~ 3.14 means that π is approximately equal to 3.14.
2. Proportionality: In some contexts, it represents proportionality. For example, y ~ x can mean that y is proportional to x.
3. Asymptotic Behavior: In calculus or higher-level mathematics, the tilde can indicate that two functions have similar growth rates as they approach a certain point. For example, f(x) ~ g(x) means that f(x) and g(x) behave similarly as x goes to infinity.
4. Equivalence Relations: It can also be used to represent an equivalence relation. For example, a ~ b means that a is equivalent to b in some specified way (e.g., congruent modulo a number).
Its exact meaning depends on the field of mathematics and the context in which it is used.
Yes, but what is it in Math Notes? That's all that matters here. It seems to be a bitwise NOT operator, which is not very useful for most people.
@@macmost yes
Yep I agree. I don’t see where I personally would ever use it.
Thanks Gary. As always, I find all of your videos very informative. One quick question on this one.
I find it hard to read the answers when in daylight mode on my Mac, being the answers are shown in a light orange on a white background. Is there any way to change the answers of the calculated total to a different darker color other than the default color?
System Settings, Appearance, Accent Color. See ua-cam.com/video/NKU1VkEn-As/v-deo.html
@@macmost Thanks Gary. That makes it easier to work with. Appreciate the help.
Joel
Thank you!
thanks for valuable information
thank you
Conversions using gallons are very useful when working out the costs of running a car. But I wonder if it only handles US gallons, or whether it will do Imperial gallons in the UK.
You could just try it... and see that it does work. For instance, type "1 uk gal=" and you'll see.
Great overview. Did you try vector math? Couldn’t get that to work.
I don't think there is anything to support vector math here.
This is fab video really good tips
Great video
Excellent video, as always. Notes will autocomplete a suggested unit for conversions, such as quarts to liters. Is there a way to force a different destination unit? Suppose, for example, I wanted to convert fluid ounces to gallons (the default new unit is liters)?
Yes. I show that in the section on Unit Conversions.
@@macmost Ah, use the ‘in’ function. Very nice. Thanks, Gary.
the ~ function seems to have the following rule: the second number has no impact on the result, and if the first number is n, then n~.=n x (1+2+2^2+2^3+...+2^64). I don't know what it is used for.
I'm sure now it is a bitwise NOT. So imagine 64 bits, with the value of the number before the ~. Then invert 1s and 0s. So the number one is 63 0s and a 1. But 1~ is 63 1s and a 0.
Are they planning to give up the "Numbers" app soon?
Why would they do that? It is a powerful spreadsheet app that a lot of people love and rely on. And they keep adding new features to it.
@@macmostyou didn’t get it, he/she is trying to say that they put a lot of Numbers functionality into Notes app.
@@elalemtubeit's not 'numbers functionality'. It's 'calculation functionality'.
@@macmost I am a Microsoft Excel user, so I use those Excel formula functions a lot. As shown in your video, it does look like we are entering a sort of formula functions like in the Excel, that is why I said that.
Is there any list of available functions?
None. This may be as close to that as anything.
Thanks @macmost - subbed.
is there any alternative of FILTER function in Numbers
Not sure what you mean. Filters in Numbers hides rows of a table based on criteria. But in Math Notes you don't have tables or rows. Maybe take a step back and explain what you want to do.
I have a spreadsheet in Apple Number. Unlike MS Excel and Google Sheets Apple Numbers doesn’t have “FILTER” function which I want to use to perform a task.
@@gajendrajangid7789 What task though? I can't help without knowing what you are trying to do. Since this is getting off-topic here, ask at macmost.com/ask and I'll see if I can help.
Does the calculator abide by the BODMAS rules that mathematicians use?
Order of operations? Yes. Try it and see.