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thank you very much! I like all these mathematical analysis books and will download them....
diligent hands rule....
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Southmountain wrote: any quick way to pick some basic math terms to understand this book?
Buy a French - English dictionary.
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Get a French mistress/girlfriend with a BSc in maths?  It's how my grandfather claimed he learnt French.
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My guess is that the quickest way is to buy two math books from Amazon in English.
Why even buy French if you don't know any French? 
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there are some formulas in these two books that I can not find in other books...
this is the book I got from Amazon.
diligent hands rule....
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Aren't most formulas rather culture neutral?
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these formulas are unique from that author...
diligent hands rule....
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This Wordle craze ...
I don't see how it differs significantly from the 'hangman' plays we had as six or seven year olds. Oh well ... we found it funny at that time. But except from the modern option of publishing our results all over the world, is there anything else distinguishing from good old hangman?
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It's more like Mastermind[^], except that the guesses have to be words instead of any combination of letters.
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I deeply understand these two words now![Rose | [Rose]](https://codeproject.global.ssl.fastly.net/script/Forums/Images/rose.gif)
diligent hands rule....
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If you have a good wife, why are you fooling around with a bad woman? 
Cheers,
Vikram.
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Wordle 295 4/6
⬜⬜🟩⬜⬜
⬜🟩🟩⬜⬜
🟩🟩🟩⬜⬜
🟩🟩🟩🟩🟩
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Wordle 295 3/6
⬜⬜🟨🟨⬜
⬜⬜⬜⬜⬜
🟩🟩🟩🟩🟩 good guess!
Luc Pattyn [My Articles]
The Windows 11 "taskbar" is disgusting. It should be at the left of the screen, with real icons, with text, progress, etc. They downgraded my developer PC to a bloody iPhone.
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Wordle 295 6/6
🟨⬜⬜⬜⬜
⬜⬜⬜🟨⬜
⬜🟨⬜⬜⬜
⬜🟩🟩🟩⬜
⬜🟩🟩🟩🟩
🟩🟩🟩🟩🟩
Phew.
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Wordle 295 4/6*
⬜⬜⬜⬜⬜
🟨⬜⬜⬜⬜
⬜⬜🟨🟨⬜
🟩🟩🟩🟩🟩
Happiness will never come to those who fail to appreciate what they already have. -Anon
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Wordle 295 4/6
🟨⬜⬜⬜⬜
⬜⬜⬜⬜⬜
🟩⬜🟨🟨⬜
🟩🟩🟩🟩🟩
Software rusts. Simon Stephenson, ca 1994. So does this signature. me, 2012
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4 again:
Wordle 295 4/6
🟨🟨⬜⬜⬜
⬜⬜⬜🟨🟨
🟨🟩🟩⬜⬜
🟩🟩🟩🟩🟩
"I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
"Common sense is so rare these days, it should be classified as a super power" - Random T-shirt
AntiTwitter: @DalekDave is now a follower!
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Quote: Wordle 295 2/6
⬜⬜🟩⬜⬜
🟩🟩🟩🟩🟩
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Wordle 295 3/6
⬜⬜⬜⬜⬜
🟨🟩⬜⬜⬜
🟩🟩🟩🟩🟩
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I'm running into a wall getting my template based library covered through testing. It's not so much runtime issues I'm concerned about, but compile warnings and even errors that may only appear when certain components of the code are used a certain way - or on a certain platform.
I ran into a platform specific compile warning in a release I had *just made* because I don't have unit testing in place for each device.
I *can* put unit testing in place for each device, but it would require a PC with enough USB ports free, running PlatformIO with every single device hooked up (about a dozen right now)
I figure it would cost me around $400-$500 to get that all set up. For a hobby project that's considerable, but worse is the space it would take up. I don't have room for another PC.
I'm not sure what to do about this: 
To err is human. Fortune favors the monsters.
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One does not test one's own code. 
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One does when one doesn't have contributors.
One makes do with what one has.
To err is human. Fortune favors the monsters.
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Not sure who sees the replies but here goes.
How about this plan?
1. Determine what all the units have in common.
2. Determine which units have the least in common.
3. Pick one or two of those units to develop, test, etc.
4. Develop a pass/fail test(s).
(not easy, but you should know success and failure)
5. Continue unit testing and code development until the code meets
the pass/fail criteria for all the chosen unit(s).
6. Select another unit and begin the process again
while assuring the tested units still handle pass/fail criteria.
not everything needs to be done in parallel, just make the
unit change-out be as smooth and consistent as possible.
This is sort of high level and not original, but got me thinking.
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I can't cross section the similarities and differences between the units because it amounts to differences in the standard header files and Arduino hal headers.
For example, I caught a warning because size_t is unsigned on certain platforms. I didn't catch it because only one platform - one I recently added support for, has size_t as unsigned.
Another more major issue, was in some build environments, some jokers defined "putc" as a macro, making my virtual function of the same name break the build.
Then there are differences in the actual SPI bus characteristics which are part of the Arduino HAL. That's largely opaque to me.
Now first two things can be caught purely through compiling. I don't need the devices. But if I want to test the drivers on the devices and catch that last thing i mentioned, I do need those devices hooked up.
And really there's about a $50 cost difference between hooking them up in parallel or doing one at a time manually. I'll take the former, but issue again is space, unless i start wall mounting everything. still need room for a PC. Or at least a second USB hub. I already have like 30 com ports registered on this machine though. Meh.
To err is human. Fortune favors the monsters.
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