TI-30X Pro MathPrint raising i to powers > 3

[Matt Agajanian]

Hi

Not sure the glitch, but why does raising i to integer powers 4 and above result in Domain Error?

I remember the Casio 115 & 991 calcs hiccup at i^3.

Curious also is why Sharp EL-W516X and T also error out on i^4 and above.

[rawi]

In the manual for the TI-30X Pro in chapter 3 there is a section about imaginary numbers with all calculations that are possible with this calculator. Indeed this is rather limited. No trigonometric function, logarithms and only exponent 2 or 3. So exponent 4 is not allowed.
After all this calculator is a tool for teaching mathematics at school.

[Matt Agajanian]

The 30X Pro MP is more of a teaching tool than an instrument suitable for Engineers, Geologists, Chemists, Physicists, and the like? Hmm…

Or, do the 30X Pro MP, Casio 991 and 115, as well as Sharp EL-516X and T have some, if any, any benefits for the professionals?

[trojdor]

Those calculators all have excellent benefits for Engineers, Geologists, Chemists, etc, especially for quick on-site calculations.

But don't confuse esoteric limitations (such as limiting the imaginary sq rt of 1 to the power of 3) to have anything to do with most day-to-day engineering problems.

In my almost 50 years as an Engineer, I don't ever recall needing to raise i to the power of 4 or 5. Ever.

While back then, I always carried an HP with me, I find myself more, and more, forgoing even the HP-35s for a simple/small fx-260 Solar II in my shirt pocket.
That's all most quick day-to-day engineering problems really need. (And probably more than half of those calculations occur in meetings.)

And if it can't handle it, it's back to the office computer (or laptop), where we've either got our favorite Excel spreadsheet, or a dedicated computer program to solve the complex stuff.

Hope that's not too sacrilegious, LOL.

[Csaba Tizedes]

(12-21-2022 02:52 AM)trojdor Wrote:  While back then, I always carried an HP with me, I find myself more, and more, forgoing even the HP-35s for a simple/small fx-260 Solar II in my shirt pocket.
That's all most quick day-to-day engineering problems really need. (And probably more than half of those calculations occur in meetings.)

And if it can't handle it, it's back to the office computer (or laptop), where we've either got our favorite Excel spreadsheet, or a dedicated computer program to solve the complex stuff.

Hope that's not too sacrilegious, LOL.

same. After 3 years Chemical and 5 years Mechanical engineering study + 17 years in fluid flow engineering for power plants, the most usable calculator for meetings a 10bii+ with dedicated Markup/Margin keys.

[Matt Agajanian]

Thanks for the replies, gang!

Ever since my SR-56 (I started with others), be it an HP-32E, 34C, TI-58C, or whatever new toy I got (more HP calcs [at least two from every HP series, Apple II+, Mac, Sharp Wizard, Palm Pilot, and so on), I’ve always stretched my devices to their full limits, capabilities, and capacities.

So, even decades and models later, I’m still in the practice of stretching my devices to their limits. Only now, it’s those Casio, Sharp, TI, non-programmables.

And I firmly think we should get a petition some 100s of thousands signatures to request HP return to calculator development.

[Eddie W. Shore]

Until we find a non-graphing calculator that handles all powers of a + bi in one command, there are the polar/rectangular conversions in the Math menu of the TI-30X Pro Mathprint/TI-36X Pro.

(a + byi)^n = r^n * e^*(iΘ)

Algorithm:

R>Pr(a,b) sto→ x
R>PΘ(a,b) sto→ y
P>Rx(x,y) returns the real part of the result
P>Ry(x,y) returns the imaginary part of the result

Examples

1. (11 + 2i)^4 = 11753 + 10296i

(Radian Mode)
R>Pr(11,2) sto→ x (15625)
R>PΘ(11,2) sto→ y (0.719413999)
P>Rx(x,y) returns 11753
P>Ry(x,y) returns 10296

2. (4-3i)^5 = -3116 + 237i

(Radian Mode)
R>Pr(4,-3) sto→ x (3125)
R>PΘ(4,-3) sto→ y (-3.217505544)
P>Rx(x,y) returns -3116
P>Ry(x,y) returns 237

[brouhaha]

(12-26-2022 08:52 PM)Matt Agajanian Wrote:  And I firmly think we should get a petition some 100s of thousands signatures to request HP return to calculator development.

The only form of voting on product development that companies care about is the kind we do with our wallets. HP would still be making high-end calculators for engineering etc. if customers were still buying lots of them. That market shrank to too small a size for HP to be able to justify devoting significant resources to it.

People like to bring up the sales of the 15C LE, but:
1) the engineering required for that wasn't nearly what developing a truly new calculator would require
2) the quantity sold was actually rather low by consumer product standards

Despite HP's deals with Monrovia and Royal, any significant new calculators are much more likely to come from open source projects like C43, and hardware from SwissMicros

[Matt Agajanian]

(12-27-2022 09:31 PM)Eddie W. Shore Wrote:  Until we find a non-graphing calculator that handles all powers of a + bi in one command, there are the polar/rectangular conversions in the Math menu of the TI-30X Pro Mathprint/TI-36X Pro.

(a + byi)^n = r^n * e^*(iΘ)

Algorithm:

R>Pr(a,b) sto→ x
R>PΘ(a,b) sto→ y
P>Rx(x,y) returns the real part of the result
P>Ry(x,y) returns the imaginary part of the result

Examples

1. (11 + 2i)^4 = 11753 + 10296i

(Radian Mode)
R>Pr(11,2) sto→ x (15625)
R>PΘ(11,2) sto→ y (0.719413999)
P>Rx(x,y) returns 11753
P>Ry(x,y) returns 10296

2. (4-3i)^5 = -3116 + 237i

(Radian Mode)
R>Pr(4,-3) sto→ x (3125)
R>PΘ(4,-3) sto→ y (-3.217505544)
P>Rx(x,y) returns -3116
P>Ry(x,y) returns 237

Hi. I’m missing a step. I can see the conversion of 4-3i. Where does the ^5 part come in?

[Eddie W. Shore]

(12-27-2022 11:21 PM)Matt Agajanian Wrote:  Hi. I’m missing a step. I can see the conversion of 4-3i. Where does the ^5 part come in?

Sorry about that, Matt.

1. (11 + 2i)^4 = 11753 + 10296i

(Radian Mode)
R>Pr(11,2)^4 sto→ x (15625)
R>PΘ(11,2)*4 sto→ y (0.719413999)
P>Rx(x,y) returns 11753
P>Ry(x,y) returns 10296

2. (4-3i)^5 = -3116 + 237i

(Radian Mode)
R>Pr(4,-3)^5 sto→ x (3125)
R>PΘ(4,-3)*5 sto→ y (-3.217505544)
P>Rx(x,y) returns -3116
P>Ry(x,y) returns 237

General:
R>Pr(a,b)^n sto→ x
R>PΘ(a,b)*n sto→ y
P>Rx(x,y) returns the real part of the result
P>Ry(x,y) returns the imaginary part of the result

[vaklaff]

(12-27-2022 10:08 PM)brouhaha Wrote:  Despite HP's deals with Monrovia and Royal

It’s Moravia, the company shares its name with the historic region in Central Europe where the company resides in. Monrovia is a city in Africa and I am not aware of any company of that name being involved in calculators. I know it was an unimportant mistake, unrelated to the topic but as I myself am a proud Moravian, it caught my eye :-) Anyway, if I recall correctly the call from Moravia at the London conference Moravia might have plans to revive some machines from HP’s past and re-introducing e.g. the 15c is not impossible, IMHO. I hope it’s not just wishful thinking on my side…

[Matt Agajanian]

(12-28-2022 04:12 AM)Eddie W. Shore Wrote:  

(12-27-2022 11:21 PM)Matt Agajanian Wrote:  Hi. I’m missing a step. I can see the conversion of 4-3i. Where does the ^5 part come in?

Sorry about that, Matt.

1. (11 + 2i)^4 = 11753 + 10296i

(Radian Mode)
R>Pr(11,2)^4 sto→ x (15625)
R>PΘ(11,2)*4 sto→ y (0.719413999)
P>Rx(x,y) returns 11753
P>Ry(x,y) returns 10296

2. (4-3i)^5 = -3116 + 237i

(Radian Mode)
R>Pr(4,-3)^5 sto→ x (3125)
R>PΘ(4,-3)*5 sto→ y (-3.217505544)
P>Rx(x,y) returns -3116
P>Ry(x,y) returns 237

General:
R>Pr(a,b)^n sto→ x
R>PΘ(a,b)*n sto→ y
P>Rx(x,y) returns the real part of the result
P>Ry(x,y) returns the imaginary part of the result

Thanks! Makes sense now!

[brouhaha]

(12-28-2022 07:03 PM)vaklaff Wrote:  It’s Moravia, the company shares its name with the historic region in Central Europe where the company resides in.

Thank you for the correction! I should be more careful.