## Short and Sweet Math Challenge #1

General discussion about calculators, SwissMicros or otherwise
DA74254
Posts: 177
Joined: Tue Oct 03, 2017 11:20 pm
Location: Norway/Latvia

### Re: Short and Sweet Math Challenge #1

Walter wrote:
Sun Nov 19, 2023 9:03 am
Walter wrote:
Sat Nov 18, 2023 3:51 pm
Well, so far, the WP43 deems this equation [#5] being too complex - it shouldn't do so, however, IMHO. Filed as an issue in GitLab already.
... and solved today thanks to Mihail. Next release of WP43 will allow handling such expressions as well.
Thank you. Looking forward to next release that I can crash
Esben
DM42 SN: 00245, WP43 Pilot SN:00002, DM32 SN: 00045 (Listed in obtained order).
dm319
Posts: 129
Joined: Thu Aug 03, 2017 12:21 pm
Location: Birmingham, UK

### Re: Short and Sweet Math Challenge #1

Looks like my DM42 needs a new battery judging by the apple core in the top corner. So this is me naively plugging this into plus42 instead.
Walter wrote:
Sat Nov 18, 2023 10:35 am
[*] cos(x)*ln(x) from 0 to 1,
-0.9461
Walter wrote:
Sat Nov 18, 2023 10:35 am
[*] 1/√x from 0 to 1,
2
Walter wrote:
Sat Nov 18, 2023 10:35 am
[*] ln(Γ(x)) from 0 to 1,
I have no idea what that symbol is. Googling brings up the gamma function, but I am still as lost.

0.9189
Walter wrote:
Sat Nov 18, 2023 10:35 am
[*] 1/√(-ln(x)) from 0 to 1,
1.7724
Walter wrote:
Sat Nov 18, 2023 10:35 am
[*] e^(x+sin(e^(e^(e^(x + 1/3))))) from -1 to 1, and
2.9944
Walter wrote:
Sat Nov 18, 2023 10:35 am
[*] sin^2 (tan(tan(π x))) from 0 to 1.
0.3911
SN:09075
dm319
Posts: 129
Joined: Thu Aug 03, 2017 12:21 pm
Location: Birmingham, UK

### Re: Short and Sweet Math Challenge #1

DA74254 wrote:
Sat Nov 18, 2023 12:19 pm
Please completely ignore what I've highlighted.
My midldle kid when he gets angry, his face goes dark and he yells at anyone looking at him with "Stop Looking At ME!!!". I've tried to explain many times that yelling tends to attract attention, but have so far failed.
SN:09075
Walter
Posts: 2935
Joined: Tue May 02, 2017 11:13 am
Location: On a mission close to DRS, Germany

### Re: Short and Sweet Math Challenge #1

dm319 wrote:
Sun Nov 19, 2023 11:48 pm
Looks like my DM42 needs a new battery judging by the apple core in the top corner. So this is me naively plugging this into plus42 instead.
...
Thanks for participating. Can you produce some digits more, please?
WP43 SN00000, 34S, and 31S for obvious reasons; HP-35, 45, ..., 35S, DM16L S/N# 00093, DM42β SN:00041
rawi
Posts: 97
Joined: Sat Dec 28, 2019 4:50 am
Location: Bavaria, Germany

### Re: Short and Sweet Math Challenge #1

A new solution with HP Prime G2 (all results showed up immediately; only task 6 took a few seconds):
1. -0.946083070367
2. 2.000000000000
3. Error message "invalid input."
4. 1.77245374158
5. 4.317536556730
6. 0.390529009507

A comparison of these results with the solution of the DM32 and additionally with the solution given by the TI 89 Titanium:
1, 2, 4, and 6 showed the same or nearly identical solutions as the DM32.
3 Does not have a solution with the HP Prime but has a solution with the DM32. The TI 89 Titanium cannot compute it because it does not have the Gamma function.
5: The DM32 solution and the HP Prime solution differ significantly. The TI 89 Titanium gave the same solution as the HP Prime.
dm319
Posts: 129
Joined: Thu Aug 03, 2017 12:21 pm
Location: Birmingham, UK

### Re: Short and Sweet Math Challenge #1

Walter wrote:
Sun Nov 19, 2023 11:57 pm
Thanks for participating. Can you produce some digits more, please?

1. -0.946083070364651469787517137915227
2. 1.999997984972843300762957296036196
3. 0.91893853320214119662649529540602
4. 1.772451835878367295522711550526266
5. 2.994395690716520827680123994800296
6. 0.391051754591745341017960523894429

If I have some time this evening I'll try the DM42.
SN:09075
dm319
Posts: 129
Joined: Thu Aug 03, 2017 12:21 pm
Location: Birmingham, UK

### Re: Short and Sweet Math Challenge #1

Used a website to visualise some of the plots.

Here are 1-4:
Screenshot at 2023-11-20 18-47-08.png (45.77 KiB) Viewed 302 times
Here are 5-6:
Screenshot at 2023-11-20 18-47-42.png (31.77 KiB) Viewed 302 times
SN:09075
dm319
Posts: 129
Joined: Thu Aug 03, 2017 12:21 pm
Location: Birmingham, UK

### Re: Short and Sweet Math Challenge #1

DM42, with ACC setting.

1. e-5
-0.99998042078

2. e-5
1.99998387978

3. e-6
0.91893836727

4. e-4
1.77232488922

5. e-2
3.25179953247

6. e-10
0.00000000009310338

Not sure what's going on with 6.
SN:09075
Walter
Posts: 2935
Joined: Tue May 02, 2017 11:13 am
Location: On a mission close to DRS, Germany

### Re: Short and Sweet Math Challenge #1

What about the times your calculator needs to compute your results? And ACC=1e-2 isn't really ambitious, is it? Why do you need all those many pretty digits then?
WP43 SN00000, 34S, and 31S for obvious reasons; HP-35, 45, ..., 35S, DM16L S/N# 00093, DM42β SN:00041
dm319
Posts: 129
Joined: Thu Aug 03, 2017 12:21 pm
Location: Birmingham, UK

### Re: Short and Sweet Math Challenge #1

Walter wrote:
Mon Nov 20, 2023 9:22 pm
Why do you need all those many pretty digits then?
So you can tell me exactly how wrong it is!

ACC was carefully adjusted to allow a similar computation speed which was less than a long time and longer than a couple moments.

PS, does anyone integrate on their calculators, and why?
SN:09075