Ta Tah! 4th roots explained
 

jeffies will twist in the wind for days trying to figure out how to google the
info on algebraicly calc'ing 4th roots

Already he is posting info about companies that failed in the early 1990's, and
another company that suceeded in the 1990's to show that something available in
the 1950's didn't exist. If I asked him what a "flop" is in the context he is
using he would turn eight shades of red (hint jeffies, google "giga-flop" and
see what you get).

so let me put that dog jeffies out of his misery.

jeffies, it is mathematically impossible to calculate algebraicly the nth root
for any n higher than 3.

if you had the background to even attempt to try to get the degree in physics
you claim you have, you would have known that long before you started college.

I did. and there was no google in those days.

now, jeffies, go mutter.

Ta Tah! 4th roots explained
 

Giga-flops? That's passé! I only deal in teraFLOPs.

Please explain why your method for square roots (not yours, actually, you only
posted a link to it, I'm sure you never read it) is substantially different from
the Newton's Method for solving higher roots. Both iterate, making successively
closer approximations. The only difference is that the traditional "longhand"
methods you linked to avoid estimating larger than the answer, thus it takes
more iterations to work. When its decomposed, it reveals manipulations similar
to Newton's, but less effectively.

Your claim that the "high school" method is "algebraic" while Newton's is
something different is simply nonsense. Further, while you were able to post
links to algorithms for square and cubed roots, I provided and explained the
fourth root, which I've actually used professionally.




"JAXAshby" wrote in message
...
jeffies will twist in the wind for days trying to figure out how to google the
info on algebraicly calc'ing 4th roots

Already he is posting info about companies that failed in the early 1990's,
and
another company that suceeded in the 1990's to show that something available
in
the 1950's didn't exist. If I asked him what a "flop" is in the context he is
using he would turn eight shades of red (hint jeffies, google "giga-flop" and
see what you get).

so let me put that dog jeffies out of his misery.

jeffies, it is mathematically impossible to calculate algebraicly the nth root
for any n higher than 3.

if you had the background to even attempt to try to get the degree in physics
you claim you have, you would have known that long before you started college.

I did. and there was no google in those days.

now, jeffies, go mutter.

Ta Tah! 4th roots explained
 

jeffie, read the damn thing. It is NOT an approximation except for the very
last digit calculated.

*IF* you had the education you *claim* you have you would have known this
before you got out of high school (no college allows totally ignorant science
clowns to take physics class past the first semester, if they let them take any
at all) AND ...

.... you could understand the explanations given on the sites.

dude, that stuff was taught to every last college bound high school student in
the land, at least the sq rt calc (and theory) was. the cb rt calc (same
theory as sq rt) was more cumbersome (you will seen that *if* you even try to
understand it) and really had not practical utility for anyone who understood
what a log table is.

in fact, newton's ***approximation*** (and a damned cumbersome one until
electronic calc became widely available. most people who needed nth rt calcs
regularly owned a set of log tables.

jeffies, your ignorance astounds me. (Kriste, dude, you dont even know what the
word "algebraic" means) The fact that you keep wishing to tell the world again
and again and again how ignorant you are astounds me even more.

geesh dude. I set a simple trap for you and you jump in with both feet,
claiming you _like_ the feeling of steel jaws around your ankles.

Please explain why your method for square roots (not yours, actually, you
only
posted a link to it, I'm sure you never read it) is substantially different
from
the Newton's Method for solving higher roots. Both iterate, making
successively
closer approximations. The only difference is that the traditional
"longhand"
methods you linked to avoid estimating larger than the answer, thus it takes
more iterations to work. When its decomposed, it reveals manipulations
similar
to Newton's, but less effectively.

Your claim that the "high school" method is "algebraic" while Newton's is
something different is simply nonsense. Further, while you were able to post
links to algorithms for square and cubed roots, I provided and explained the
fourth root, which I've actually used professionally.




"JAXAshby" wrote in message
...
jeffies will twist in the wind for days trying to figure out how to google
the
info on algebraicly calc'ing 4th roots

Already he is posting info about companies that failed in the early 1990's,
and
another company that suceeded in the 1990's to show that something
available
in
the 1950's didn't exist. If I asked him what a "flop" is in the context he
is
using he would turn eight shades of red (hint jeffies, google "giga-flop"
and
see what you get).

so let me put that dog jeffies out of his misery.

jeffies, it is mathematically impossible to calculate algebraicly the nth
root
for any n higher than 3.

if you had the background to even attempt to try to get the degree in
physics
you claim you have, you would have known that long before you started
college.

I did. and there was no google in those days.

now, jeffies, go mutter.

Ta Tah! 4th roots explained
 

Giga-flops? That's passé! I only deal in teraFLOPs.

So. Why did you use the term flip-flop?

Ta Tah! 4th roots explained
 

TeraFlops are a new version of flip-flops put out by Teva.

"JAXAshby" wrote in message
...
Giga-flops? That's passé! I only deal in teraFLOPs.

So. Why did you use the term flip-flop?

Ta Tah! 4th roots explained
 

Your version of the square root is an approximation, just like Newton's Method.
There really isn't that much difference except that Newton's converges quicker.
Your method makes the best guess, digit by digit, without going over, Newton's
allows it to oscillate, but converges quicker.

If you think there's some deep difference between the two, feel free to explain,
but your ranting so far have only shown that you haven't a clue.



"JAXAshby" wrote in message
...
jeffie, read the damn thing. It is NOT an approximation except for the very
last digit calculated.

*IF* you had the education you *claim* you have you would have known this
before you got out of high school (no college allows totally ignorant science
clowns to take physics class past the first semester, if they let them take
any
at all) AND ...

... you could understand the explanations given on the sites.

dude, that stuff was taught to every last college bound high school student in
the land, at least the sq rt calc (and theory) was. the cb rt calc (same
theory as sq rt) was more cumbersome (you will seen that *if* you even try to
understand it) and really had not practical utility for anyone who understood
what a log table is.

in fact, newton's ***approximation*** (and a damned cumbersome one until
electronic calc became widely available. most people who needed nth rt calcs
regularly owned a set of log tables.

jeffies, your ignorance astounds me. (Kriste, dude, you dont even know what
the
word "algebraic" means) The fact that you keep wishing to tell the world
again
and again and again how ignorant you are astounds me even more.

geesh dude. I set a simple trap for you and you jump in with both feet,
claiming you _like_ the feeling of steel jaws around your ankles.

Please explain why your method for square roots (not yours, actually, you
only
posted a link to it, I'm sure you never read it) is substantially different
from
the Newton's Method for solving higher roots. Both iterate, making
successively
closer approximations. The only difference is that the traditional
"longhand"
methods you linked to avoid estimating larger than the answer, thus it takes
more iterations to work. When its decomposed, it reveals manipulations
similar
to Newton's, but less effectively.

Your claim that the "high school" method is "algebraic" while Newton's is
something different is simply nonsense. Further, while you were able to post
links to algorithms for square and cubed roots, I provided and explained the
fourth root, which I've actually used professionally.




"JAXAshby" wrote in message
...
jeffies will twist in the wind for days trying to figure out how to google
the
info on algebraicly calc'ing 4th roots

Already he is posting info about companies that failed in the early 1990's,
and
another company that suceeded in the 1990's to show that something
available
in
the 1950's didn't exist. If I asked him what a "flop" is in the context he
is
using he would turn eight shades of red (hint jeffies, google "giga-flop"
and
see what you get).

so let me put that dog jeffies out of his misery.

jeffies, it is mathematically impossible to calculate algebraicly the nth
root
for any n higher than 3.

if you had the background to even attempt to try to get the degree in
physics
you claim you have, you would have known that long before you started
college.

I did. and there was no google in those days.

now, jeffies, go mutter.

Ta Tah! 4th roots explained
 

yeah, right.

actually, more than might be expected from one who claims an art degree in
physics from potato state.

TeraFlops are a new version of flip-flops put out by Teva.

"JAXAshby" wrote in message
...
Giga-flops? That's passé! I only deal in teraFLOPs.

So. Why did you use the term flip-flop?

Ta Tah! 4th roots explained
 

jeffies, your stupid statement just shows you have no idea what the discussion
you pretend to be part of is about.



Your version of the square root is an approximation, just like Newton's
Method.
There really isn't that much difference except that Newton's converges
quicker.
Your method makes the best guess, digit by digit, without going over,
Newton's
allows it to oscillate, but converges quicker.

If you think there's some deep difference between the two, feel free to
explain,
but your ranting so far have only shown that you haven't a clue.



"JAXAshby" wrote in message
...
jeffie, read the damn thing. It is NOT an approximation except for the
very
last digit calculated.

*IF* you had the education you *claim* you have you would have known this
before you got out of high school (no college allows totally ignorant
science
clowns to take physics class past the first semester, if they let them take
any
at all) AND ...

... you could understand the explanations given on the sites.

dude, that stuff was taught to every last college bound high school student
in
the land, at least the sq rt calc (and theory) was. the cb rt calc (same
theory as sq rt) was more cumbersome (you will seen that *if* you even try
to
understand it) and really had not practical utility for anyone who
understood
what a log table is.

in fact, newton's ***approximation*** (and a damned cumbersome one until
electronic calc became widely available. most people who needed nth rt
calcs
regularly owned a set of log tables.

jeffies, your ignorance astounds me. (Kriste, dude, you dont even know what
the
word "algebraic" means) The fact that you keep wishing to tell the world
again
and again and again how ignorant you are astounds me even more.

geesh dude. I set a simple trap for you and you jump in with both feet,
claiming you _like_ the feeling of steel jaws around your ankles.

Please explain why your method for square roots (not yours, actually, you
only
posted a link to it, I'm sure you never read it) is substantially
different
from
the Newton's Method for solving higher roots. Both iterate, making
successively
closer approximations. The only difference is that the traditional
"longhand"
methods you linked to avoid estimating larger than the answer, thus it
takes
more iterations to work. When its decomposed, it reveals manipulations
similar
to Newton's, but less effectively.

Your claim that the "high school" method is "algebraic" while Newton's is
something different is simply nonsense. Further, while you were able to
post
links to algorithms for square and cubed roots, I provided and explained
the
fourth root, which I've actually used professionally.




"JAXAshby" wrote in message
...
jeffies will twist in the wind for days trying to figure out how to
google
the
info on algebraicly calc'ing 4th roots

Ta Tah! 4th roots explained
 

jeffies, you show us your intent to be nothing but a cyber vandal with the post
below:

Your version of the square root is an approximation, just like Newton's
Method.
There really isn't that much difference except that Newton's converges
quicker.
Your method makes the best guess, digit by digit, without going over,
Newton's
allows it to oscillate, but converges quicker.

If you think there's some deep difference between the two, feel free to
explain,
but your ranting so far have only shown that you haven't a clue.



"JAXAshby" wrote in message
...
jeffie, read the damn thing. It is NOT an approximation except for the
very
last digit calculated.

*IF* you had the education you *claim* you have you would have known this
before you got out of high school (no college allows totally ignorant
science
clowns to take physics class past the first semester, if they let them take
any
at all) AND ...

... you could understand the explanations given on the sites.

dude, that stuff was taught to every last college bound high school student
in
the land, at least the sq rt calc (and theory) was. the cb rt calc (same
theory as sq rt) was more cumbersome (you will seen that *if* you even try
to
understand it) and really had not practical utility for anyone who
understood
what a log table is.

in fact, newton's ***approximation*** (and a damned cumbersome one until
electronic calc became widely available. most people who needed nth rt
calcs
regularly owned a set of log tables.

jeffies, your ignorance astounds me. (Kriste, dude, you dont even know what
the
word "algebraic" means) The fact that you keep wishing to tell the world
again
and again and again how ignorant you are astounds me even more.

geesh dude. I set a simple trap for you and you jump in with both feet,
claiming you _like_ the feeling of steel jaws around your ankles.

Please explain why your method for square roots (not yours, actually, you
only
posted a link to it, I'm sure you never read it) is substantially
different
from
the Newton's Method for solving higher roots. Both iterate, making
successively
closer approximations. The only difference is that the traditional
"longhand"
methods you linked to avoid estimating larger than the answer, thus it
takes
more iterations to work. When its decomposed, it reveals manipulations
similar
to Newton's, but less effectively.

Your claim that the "high school" method is "algebraic" while Newton's is
something different is simply nonsense. Further, while you were able to
post
links to algorithms for square and cubed roots, I provided and explained
the
fourth root, which I've actually used professionally.




"JAXAshby" wrote in message
...
jeffies will twist in the wind for days trying to figure out how to
google
the
info on algebraicly calc'ing 4th roots

Already he is posting info about companies that failed in the early
1990's,
and
another company that suceeded in the 1990's to show that something
available
in
the 1950's didn't exist. If I asked him what a "flop" is in the context
he
is
using he would turn eight shades of red (hint jeffies, google
"giga-flop"
and
see what you get).

so let me put that dog jeffies out of his misery.

jeffies, it is mathematically impossible to calculate algebraicly the
nth
root
for any n higher than 3.

if you had the background to even attempt to try to get the degree in
physics
you claim you have, you would have known that long before you started
college.

I did. and there was no google in those days.

now, jeffies, go mutter.

Ta Tah! 4th roots explained
 

Jeff,

Out of curiosity, what in the world would you use Quad Root for?

Ole Thom

Ta Tah! 4th roots explained
 

yeah, jeff, tell us.

Jeff,

Out of curiosity, what in the world would you use Quad Root for?

Ole Thom

Ta Tah! 4th roots explained
 

At this point I could claim that I was just the programmer, not the engineer.
And, in fact, it was specifically my job to implement scientific libraries, both
at the Observatory where I worked and in the software I sold. It was also done
at Lotus, but by then I was wise enough to not get involved. Newton's
approximation is used quite often in many areas - it not only does simple roots,
but also general roots of polynomial functions. I used it in one of the last
major programs I wrote - a charting program based 3D animation techniques (you
could spin the pie chart like a top, or do "fly throughs" of 3D bar charts).
The reason the skills I learned on "primitive" computers were still in demand is
that we slow down our modern machines with pigs like Java, yet the customer
demands real-time, 3D response!

Although we don't think about "fourth roots" in day to day life, its easy to
find an example relevant to sailing: The return echo strength from Radar is
proportional to the fourth root of the distance.


"Thom Stewart" wrote in message
...
Jeff,

Out of curiosity, what in the world would you use Quad Root for?

Ole Thom

Ta Tah! 4th roots explained
 

Thom, it is obvious jeffies doesn't have a clew.

4th roots are used in electronic design engineering, for one. Other areas for
sure but none come to mind off the top of my head. My career was spent
explaining high tech to executives, not designing the stuff.

At this point I could claim that I was just the programmer, not the engineer.
And, in fact, it was specifically my job to implement scientific libraries,
both
at the Observatory where I worked and in the software I sold. It was also
done
at Lotus, but by then I was wise enough to not get involved. Newton's
approximation is used quite often in many areas - it not only does simple
roots,
but also general roots of polynomial functions. I used it in one of the last
major programs I wrote - a charting program based 3D animation techniques
(you
could spin the pie chart like a top, or do "fly throughs" of 3D bar charts).
The reason the skills I learned on "primitive" computers were still in demand
is
that we slow down our modern machines with pigs like Java, yet the customer
demands real-time, 3D response!

Although we don't think about "fourth roots" in day to day life, its easy to
find an example relevant to sailing: The return echo strength from Radar is
proportional to the fourth root of the distance.


"Thom Stewart" wrote in message
...
Jeff,

Out of curiosity, what in the world would you use Quad Root for?

Ole Thom

Ta Tah! 4th roots explained
 

thom, a side story about calc'ing 2nd roots.

once upon a time, way back when an electronic calculator cost more than 3 times
the price of a brand VW bug, and mechanical calcs cost about 140% of the price
of a VW, a group of us (National Science Foundation Summer Students) were shown
just how fantastic an expensive mechanical calc was.

(note, mechanical calc could add, subtract, multiply [slow] and divide [slow to
really slow, depending the numbers involved] out to about 18 digits.
Electronic calc's [made only by Friden as I recall] could do the same, plus
"hold" two additional numbers in a "stack". No calculators of the time had
printed output.)

The college instructor started working through the process involved to
calculate a square root using the process jeffies outlined. After he had been
working and calculating and working for maybe 5 minutes, I and another guy
started working the problem by hand. While the instructor had 20 digits to
work with in short order, his accuracy was only about two digits. In fact his
accuracy using the machine never did keep up on a digit by digit basis with us
working the problem by hand.

btw, most people who needed to do nth roots as part of their jobs all
personally owned a table of logs. If you will willing to pay the price, I
believe you could get tables out to 12 digits or more. Usually that kind of
accuracy was not needed.