https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <jl@997PotHill.com>
wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the
life for them!
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <cd@notformail.com>
wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <jl@997PotHill.com>
wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the
life for them!
Of course, very few ee's ever use Maxwell's equations. I never have.
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <cd@notformail.com>
wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <jl@997PotHill.com>
wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the
life for them!
Of course, very few ee's ever use Maxwell's equations. I never have.
My fields instructor was a brilliant Japanese guy and we couldn't
understand anything that he said. He graded on the curve.
I haven't actually used calculus in about 20 years. I have to have a
feel for differential equations and initial conditions and such, but I
don't actually have to do it. I use Spice. Anything interesting is
nonlinear anyhow.
Being able to do higher math is a kind of mechanical skill. It doesn't necessarily create instincts for circuits or system dynamics.
Some people, like Phil H, can see through the math to the reality, but
I think most EE students can't.
Nowadays, computer programs can even do symbolic math and solve
equations.
On 08/12/2023 23:04, john larkin wrote:
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <cd@notformail.com>
wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <jl@997PotHill.com>
wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the
life for them!
Of course, very few ee's ever use Maxwell's equations. I never have.
My fields instructor was a brilliant Japanese guy and we couldn't
understand anything that he said. He graded on the curve.
We had the same problem with our High Energy Physics lecturer. He was
Italian and a bit vivacious - his English wasn't great to begin with and
when excited he slipped into fast Italian. His lectures were almost >incomprehensible to us. HEP always looked like stamp collecting to me
and it still does. Or as another unsympathetic to HEP physicist put it >studying horology by smashing clocks together at ever greater speeds.
I haven't actually used calculus in about 20 years. I have to have a
feel for differential equations and initial conditions and such, but I
don't actually have to do it. I use Spice. Anything interesting is
nonlinear anyhow.
That doesn't mean that you can't model it mathematically and have a cute >cubic or gulp quartic equation to solve analytically and give you a feel
for what is actually going on (or a good starting guess to refine).
Being able to do higher math is a kind of mechanical skill. It doesn't
necessarily create instincts for circuits or system dynamics.
Only at the enough to pass exams stage. Higher maths is all about
intuiting an answer and then doing the formal algebra to prove that your >initial guess was right and communicate it to others unambiguously.
Some people, like Phil H, can see through the math to the reality, but
I think most EE students can't.
That statement I agree with. I've often wondered why so many EEs find >Einstein's special relativity so completely impossible to understand.
Nowadays, computer programs can even do symbolic math and solve
equations.
Nowhere near as well as a human can yet. But they can do brute force
algebra manipulations that would take humans forever and then be full of >errors (and have been doing so in some specialities since the 1980's).
Human intuition and computer algebra (or other computer implementation)
to avoid silly mistakes is still the optimum for now. I'm not sure that
will hold for very much longer as general AI is getting frighteningly
good at more and more abstract and thought to be impossible problems.
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at math.
Hence all these charts, graphs, nomo's, table lookups, handbooks, standards, arithmeticization of transcendental math ( transforms) and whatever else it took to get them *numbers* in least time, if at all. Engineers used to be exceptionally good atarithmetic. They used to be ridiculously pathetic programmers totally lacking in analytical and organizational skills, and probably still are AFAIK. Then don't even let them near singularities. Heaviside's so-called analysis is mere symbolic arithmetic.
On a sunny day (Fri, 08 Dec 2023 08:05:09 -0800) it happened John Larkin ><jl@997PotHill.com> wrote in <5jf6nidoovd0ki276ngnfdato3qsutmns4@4ax.com>:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
I almost never use maaz
Even counting change no longer is necessary with all those money cards.
But really, I almost never use maaz and all stuff works.
Filters and stuff - plenty programs or online calculators where you can just enter data.
But I am just a neural net.
Lost of experience designing and building thing and seeing and repairing designs from others.
Net is trained very well!
Last time I uses S parameters was in my school days.
Much much much more (enter more much-es, not math-es) is UNDERSTANDING what them electrons are doing.
Same for other stuff in fishsicks.
Same for programming.
Big problem is units perhaps, US wants to be different, so one of their Mars orbiters crashed because they used the wrong units...
https://science.nasa.gov/mission/mars-climate-orbiter/
But then again if the tinkerers had a clue they would notice the different between pounds and Newtons.
Bit of algebra is usually all you need...
And logic reasoning, this is for the mamaticians here:
https://arstechnica.com/ai/2023/12/the-real-research-behind-the-wild-rumors-about-openais-q-project/
On Saturday, December 9, 2023 at 11:25:51?AM UTC-5, John Larkin wrote:arithmetic. They used to be ridiculously pathetic programmers totally lacking in analytical and organizational skills, and probably still are AFAIK. Then don't even let them near singularities. Heaviside's so-called analysis is mere symbolic arithmetic.
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs
<bloggs.fred...@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:products - than they do. Is that a correlation somehow?
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at math. >> I have a couple that are. But I have more crazy ideas - that become
Hence all these charts, graphs, nomo's, table lookups, handbooks, standards, arithmeticization of transcendental math ( transforms) and whatever else it took to get them *numbers* in least time, if at all. Engineers used to be exceptionally good at
Einstein almost invented a few things, like the laser, but didn't.
That's curious.
Actually he did, he collaborated on the design of a refrigerator, and it was patented.
https://en.wikipedia.org/wiki/Einstein_refrigerator
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs ><bloggs.fredbloggs.fred@gmail.com> wrote:arithmetic. They used to be ridiculously pathetic programmers totally lacking in analytical and organizational skills, and probably still are AFAIK. Then don't even let them near singularities. Heaviside's so-called analysis is mere symbolic arithmetic.
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at math.
I have a couple that are. But I have more crazy ideas - that become
products - than they do. Is that a correlation somehow?
Hence all these charts, graphs, nomo's, table lookups, handbooks, standards, arithmeticization of transcendental math ( transforms) and whatever else it took to get them *numbers* in least time, if at all. Engineers used to be exceptionally good at
Einstein almost invented a few things, like the laser, but didn't.
That's curious.
Calculators erased the need to be good at arithmetic. Slide rules
didn't add or subtract or work to 9 places.
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs <bloggs.fredbloggs.fred@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at math.
I have a couple that are. But I have more crazy ideas - that become
products - than they do. Is that a correlation somehow?
Hence all these charts, graphs, nomo's, table lookups, handbooks,
standards, arithmeticization of transcendental math ( transforms) and
whatever else it took to get them *numbers* in least time, if at all.
Engineers used to be exceptionally good at arithmetic. They used to be
ridiculously pathetic programmers totally lacking in analytical and
organizational skills, and probably still are AFAIK. Then don't even let
them near singularities. Heaviside's so-called analysis is mere symbolic
arithmetic. Author of article is a case point, a complete idiot.
Einstein almost invented a few things, like the laser, but didn't.
That's curious.
Calculators erased the need to be good at arithmetic. Slide rules
didn't add or subtract or work to 9 places.
We do polynomials all the time, in code or an FPGA, to linearize
things, like digitizing a resistor-thrmistor voltage divider into temperature. Or yesterday, padding a digital capacitor to tweak its
effect on an LC oscillator. But that doesn't involve solving
equations; we run simulations, apply instincts, and tune.
On Saturday, December 9, 2023 at 12:19:54?PM UTC-5, John Larkin wrote:at arithmetic. They used to be ridiculously pathetic programmers totally lacking in analytical and organizational skills, and probably still are AFAIK. Then don't even let them near singularities. Heaviside's so-called analysis is mere symbolic
On Sat, 9 Dec 2023 09:07:05 -0800 (PST), Fred Bloggs
<bloggs.fred...@gmail.com> wrote:
On Saturday, December 9, 2023 at 11:25:51?AM UTC-5, John Larkin wrote:
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs
<bloggs.fred...@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:I have a couple that are. But I have more crazy ideas - that become
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at math.
products - than they do. Is that a correlation somehow?
Hence all these charts, graphs, nomo's, table lookups, handbooks, standards, arithmeticization of transcendental math ( transforms) and whatever else it took to get them *numbers* in least time, if at all. Engineers used to be exceptionally good
"It has been suggested that most of the actual inventing was done byEinstein almost invented a few things, like the laser, but didn't.
That's curious.
Actually he did, he collaborated on the design of a refrigerator, and it was patented.
https://en.wikipedia.org/wiki/Einstein_refrigerator
Szilárd". That aligns with my observation that professor types seldom
have original ideas.
Whoever wrote that is a fool. Einstein was obviously providing high level guidance on the project, and Szilard was tasked with working the details. Einstein was busy with more important things than to waste himself on minutia.
On Saturday, December 9, 2023 at 11:25:51?AM UTC-5, John Larkin wrote:arithmetic. They used to be ridiculously pathetic programmers totally lacking in analytical and organizational skills, and probably still are AFAIK. Then don't even let them near singularities. Heaviside's so-called analysis is mere symbolic arithmetic.
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs
<bloggs.fred...@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:products - than they do. Is that a correlation somehow?
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at math. >> I have a couple that are. But I have more crazy ideas - that become
Hence all these charts, graphs, nomo's, table lookups, handbooks, standards, arithmeticization of transcendental math ( transforms) and whatever else it took to get them *numbers* in least time, if at all. Engineers used to be exceptionally good at
Einstein almost invented a few things, like the laser, but didn't.
That's curious.
Calculators erased the need to be good at arithmetic. Slide rules
didn't add or subtract or work to 9 places.
Slide rule is a form of nomogram:
https://en.wikipedia.org/wiki/Slide_rule
Now how does an applications engineer need to know anything to 9-places? Digital doesn't count.
On Sat, 09 Dec 2023 08:25:01 -0800, John Larkin <jl@997PotHill.com>
wrote:
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs >><bloggs.fredbloggs.fred@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:I have a couple that are. But I have more crazy ideas - that become >>products - than they do. Is that a correlation somehow?
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at math. >>
Hence all these charts, graphs, nomo's, table lookups, handbooks, standards, arithmeticization of transcendental math (
transforms) and whatever else it took to get them *numbers* in least time, if at all. Engineers used to be exceptionally good at
arithmetic. They used to be ridiculously pathetic programmers totally lacking in analytical and organizational skills, and probably
still are AFAIK. Then don't even let them near singularities. Heaviside's so-called analysis is mere symbolic arithmetic. Author
of article is a case point, a complete idiot.
Einstein almost invented a few things, like the laser, but didn't.
That's curious.
Calculators erased the need to be good at arithmetic. Slide rules
didn't add or subtract or work to 9 places.
Maybe not. But they *were* a coveted status symbol. If someone strode
into the office with a slide rule hooked to their belt, like a big,
swinging dick, you *knew* immediately he was an engineer. Lesser
minions were simply in awe. If you want to make an entrance - I mean a
*real* entrance - clutching a calculator simply won't cut it.
On Saturday, December 9, 2023 at 12:19:54 PM UTC-5, John Larkin wro=
te:
On Sat, 9 Dec 2023 09:07:05 -0800 (PST), Fred Bloggs
<bloggs.fred...@gmail.com> wrote:
On Saturday, December 9, 2023 at 11:25:51?AM UTC-5, John Larkin wrote:=
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs
<bloggs.fred...@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:=
else it took to get them *numbers* in least time, if at all. Engineers use=I have a couple that are. But I have more crazy ideas - that becomehttps://cosmosmagazine.com/science/mathematics/ripple-effects-of-ma= >ths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at = >math.
products - than they do. Is that a correlation somehow?
Hence all these charts, graphs, nomo's, table lookups, handbooks, sta= >ndards, arithmeticization of transcendental math ( transforms) and whatever=
d to be exceptionally good at arithmetic. They used to be ridiculously path= >etic programmers totally lacking in analytical and organizational skills, a= >nd probably still are AFAIK. Then don't even let them near singularities. H= >eaviside's so-called analysis is mere symbolic arithmetic. Author of articl= >e is a case point, a complete idiot.
was patented.Einstein almost invented a few things, like the laser, but didn't.
That's curious.
Actually he did, he collaborated on the design of a refrigerator, and it=
m"It has been suggested that most of the actual inventing was done by
https://en.wikipedia.org/wiki/Einstein_refrigerator
Szilárd". That aligns with my observation that professor types seldo=
have original ideas.
Whoever wrote that is a fool. Einstein was obviously providing high level g= >uidance on the project, and Szilard was tasked with working the details. Ei= >nstein was busy with more important things than to waste himself on minutia=
On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <jl@650pot.com> wrote:
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <cd@notformail.com>
wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <jl@997PotHill.com>
wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the
life for them!
Of course, very few ee's ever use Maxwell's equations. I never have.
[...]
Yes, well, when I said Maxwell's equations I was kind of meaning the
main four that Oliver Heaviside was able to reduce them to. Any decent
RF engineer must surely be familiar with those if not the admittedly
very abstruse Maxwell originals?
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs <bloggs.fredbloggs.fred@gmail.com> wrote:arithmetic. They used to be ridiculously pathetic programmers totally lacking in analytical and organizational skills, and probably still are AFAIK. Then don't even let them near singularities. Heaviside's so-called analysis is mere symbolic arithmetic.
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at math.
I have a couple that are. But I have more crazy ideas - that become
products - than they do. Is that a correlation somehow?
Hence all these charts, graphs, nomo's, table lookups, handbooks, standards, arithmeticization of transcendental math ( transforms) and whatever else it took to get them *numbers* in least time, if at all. Engineers used to be exceptionally good at
Einstein almost invented a few things, like the laser, but didn't.
That's curious.
Calculators erased the need to be good at arithmetic. Slide rules
didn't add or subtract or work to 9 places.
On Friday, December 8, 2023 at 6:21:00 PM UTC-6, Cursitor Doom wrote:
On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <j...@650pot.com> wrote:
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <c...@notformail.com>[...]
wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <j...@997PotHill.com>
wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the
life for them!
Of course, very few ee's ever use Maxwell's equations. I never have.
Yes, well, when I said Maxwell's equations I was kind of meaning the
main four that Oliver Heaviside was able to reduce them to. Any decent
RF engineer must surely be familiar with those if not the admittedly
very abstruse Maxwell originals?
Interestingly Oliver Heavyside had something to say about engineers and math. See page 7 section 8, 9...
Although page 5 section 5 is fun with all the name dropping. Maxwell, Poynting, Hertz,
Faraday and others. https://macsphere.mcmaster.ca/bitstream/11375/14746/1/fulltext.pdf
Mikek
Calculators erased the need to be good at arithmetic. Slide rules
didn't add or subtract or work to 9 places.
On 12/9/2023 11:25 AM, John Larkin wrote:
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs
<bloggs.fredbloggs.fred@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at
math.
I have a couple that are. But I have more crazy ideas - that become
products - than they do. Is that a correlation somehow?
Hence all these charts, graphs, nomo's, table lookups, handbooks,
standards, arithmeticization of transcendental math ( transforms) and
whatever else it took to get them *numbers* in least time, if at all.
Engineers used to be exceptionally good at arithmetic. They used to
be ridiculously pathetic programmers totally lacking in analytical
and organizational skills, and probably still are AFAIK. Then don't
even let them near singularities. Heaviside's so-called analysis is
mere symbolic arithmetic. Author of article is a case point, a
complete idiot.
Einstein almost invented a few things, like the laser, but didn't.
That's curious.
Heinrich Hertz on his experiments with radio waves:
"It's of no use whatsoever ... this is just an experiment that proves
Maestro Maxwell was right—we just have these mysterious electromagnetic waves that we cannot see with the naked eye. But they are there."
Asked about the applications of his discoveries, Hertz replied:
"Nothing, I guess"
On 12/8/2023 8:20 PM, Lamont Cranston wrote:
On Friday, December 8, 2023 at 6:21:00 PM UTC-6, Cursitor Doom wrote:
On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <j...@650pot.com> wrote: >>>
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <c...@notformail.com> >>>> wrote:[...]
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <j...@997PotHill.com> >>>>> wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the >>>>> life for them!
Of course, very few ee's ever use Maxwell's equations. I never have.
Yes, well, when I said Maxwell's equations I was kind of meaning the
main four that Oliver Heaviside was able to reduce them to. Any decent
RF engineer must surely be familiar with those if not the admittedly
very abstruse Maxwell originals?
Interestingly Oliver Heavyside had something to say about engineers and math.
See page 7 section 8, 9...
Although page 5 section 5 is fun with all the name dropping. Maxwell, Poynting, Hertz,
Faraday and others.
https://macsphere.mcmaster.ca/bitstream/11375/14746/1/fulltext.pdf
Mikek
Heavyside didn't believe EM propagation was possible inside waveguides,
he thought you absolutely needed a second conductor. So seems even he sometimes didn't believe what the math was saying.
On Sunday, December 10, 2023 at 1:15:30 AM UTC-5, Jan Panteltje wro=
te:
On a sunny day (Sat, 9 Dec 2023 09:43:09 -0800 (PST)) it happened Fred Bl= >oggswro=
<bloggs.fred...@gmail.com> wrote in
<8befbf42-2233-4ad3...@googlegroups.com>:
On Saturday, December 9, 2023 at 12:19:54 PM UTC-5, John Larkin =
te:
On Sat, 9 Dec 2023 09:07:05 -0800 (PST), Fred Bloggsths-crisis-spread-to-engineering/
<bloggs.fred...@gmail.com> wrote:
On Saturday, December 9, 2023 at 11:25:51?AM UTC-5, John Larkin wrote= >:=
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs
<bloggs.fred...@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrot= >e:=
https://cosmosmagazine.com/science/mathematics/ripple-effects-of= >-ma=
math.
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good = >at =
I have a couple that are. But I have more crazy ideas - that become=
ndards, arithmeticization of transcendental math ( transforms) and whate= >ver=products - than they do. Is that a correlation somehow?
Hence all these charts, graphs, nomo's, table lookups, handbooks, = >sta=
else it took to get them *numbers* in least time, if at all. Engineers = >use=
d to be exceptionally good at arithmetic. They used to be ridiculously p= >ath=
etic programmers totally lacking in analytical and organizational skills= >, a=
nd probably still are AFAIK. Then don't even let them near singularities= >. H=
eaviside's so-called analysis is mere symbolic arithmetic. Author of art= >icl=
e is a case point, a complete idiot.
Einstein almost invented a few things, like the laser, but didn't.=
it=That's curious.
Actually he did, he collaborated on the design of a refrigerator, and=
ldo=was patented.
"It has been suggested that most of the actual inventing was done by
https://en.wikipedia.org/wiki/Einstein_refrigerator
Szilárd". That aligns with my observation that professor types se=
Ei=m
have original ideas.
Whoever wrote that is a fool. Einstein was obviously providing high leve= >l g=
uidance on the project, and Szilard was tasked with working the details.=
nstein was busy with more important things than to waste himself on minu= >tia=
His fridge was a disaster
It was a decent refrigerator, but it wasn't competitive, in cost or efficie= >ncy of heat source, with the development of mechanical refrigeration (motor=
driven compressor) using only recently discovered "freon".
Einstein's green refrigerator making a comeback
https://phys.org/news/2008-09-einstein-green-refrigerator-comeback.html
Sounds like the author of article is clueless of the technology. Then I che= >cked the name, and it's a 'Lisa"- which I assume is a female- confirms my s= >uspicion.
The same cooling technology has been used in portable applications, like tr= >ailers and similar, for 100 years. Most of them use ammonia, and the heat s= >ource is a liquid petroleum fueled flame.
NASA has developed a few cooling system using the same principle for space = >based applications, heat source is solar insolation.
He failed to unite the forces of nature
Aspect's experiment proved his thinking wrong.
The E=M C^something was not his
Same for that other thing he put his name on.
He was made a hero because he suggested to the then US precedent eh preci= >dend . . whatever to further devellop reactions leading to the nuculear bom= >b
Jew's hero.
Mass murderer (Hiroshima Nagasaki)
Endlessly repeating bis babble stops advancement in fishsicks
Einstein was well known as an uber anti-war pacifist, and mingled with a cr= >owd considered to be political radicals by the U.S. government. He was ther= >efore considered a security risk and denied access to classified material o= >f any kind, before, during, and after the war.
But they gave that huckster illiterate Tesla top billing for credibility.
On Sunday, December 10, 2023 at 10:05:01 PM UTC-8, Jan Panteltje wr=
ote:
The vote-on is just the energy required to knock an electron lose from an=atom in the detector,
it is like a ball on a wire connected to a pole in an ocean,
when the waves get big enough and the wire breaks fishsisicks cry 'vote-o= >n detected'
No, it is not. Firstly, you can make photons with non-atoms (synchrotron = >radiation), and
second, the selection rules of atomic transitions argue against any photon = >without exactly
spin = 1 (i.e. a single quantum of angular momentum). Photons are spinn= >ing massless
electric field energies. A quantity of 'the energy required" is NOT enoug= >h to define a photon.
bitrex <user@example.net> wrote:
Heavyside didn't believe EM propagation was possible inside waveguides,
he thought you absolutely needed a second conductor. So seems even he
sometimes didn't believe what the math was saying.
Heaviside’s dates are 1850–1925.
The Alexanderson alternator, the first CW transmitter, was invented in
1903. It ran at 200 kHz, iirc, using high speed and many many poles.
Even
at that, it would have needed a 1-km-wide waveguide, so in H.’s era it
really wasn’t possible.
Martin Brown wrote:
I've often wondered why so many EEs find
Einstein's special relativity so completely impossible to understand.
It has to be bad teaching. George Gamow's "Mr Tompkins" books
https://en.wikipedia.org/wiki/Mr_Tompkins
are very straightforward explanations. I got to read them while I was still in secondary school.
bitrex <user@example.net> wrote:
On 12/8/2023 8:20 PM, Lamont Cranston wrote:
On Friday, December 8, 2023 at 6:21:00 PM UTC-6, Cursitor Doom wrote: >>>> On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <j...@650pot.com> wrote: >>>>
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <c...@notformail.com> >>>>> wrote:[...]
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <j...@997PotHill.com> >>>>>> wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the >>>>>> life for them!
Of course, very few ee's ever use Maxwell's equations. I never have.
Yes, well, when I said Maxwell's equations I was kind of meaning the
main four that Oliver Heaviside was able to reduce them to. Any decent >>>> RF engineer must surely be familiar with those if not the admittedly
very abstruse Maxwell originals?
Interestingly Oliver Heavyside had something to say about engineers and math.
See page 7 section 8, 9...
Although page 5 section 5 is fun with all the name dropping. Maxwell, Poynting, Hertz,
Faraday and others.
https://macsphere.mcmaster.ca/bitstream/11375/14746/1/fulltext.pdf
Mikek
Heavyside didn't believe EM propagation was possible inside waveguides,
he thought you absolutely needed a second conductor. So seems even he
sometimes didn't believe what the math was saying.
Heaviside’s dates are 1850–1925.
The Alexanderson alternator, the first CW transmitter, was invented in
1903. It ran at 200 kHz, iirc, using high speed and many many poles. Even
at that, it would have needed a 1-km-wide waveguide, so in H.’s era it really wasn’t possible.
Cheers
Phil Hobbs
On Sat, 09 Dec 2023 08:25:01 -0800, John Larkin <jl@997PotHill.com>
wrote:
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs
<bloggs.fredbloggs.fred@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
Calculators erased the need to be good at arithmetic. Slide rules
didn't add or subtract or work to 9 places.
Maybe not. But they *were* a coveted status symbol.
If someone strode into the office with a slide rule hooked to their belt, like a big,
swinging dick, you *knew* immediately he was an engineer. Lesser
minions were simply in awe.
If you want to make an entrance - I mean a
*real* entrance - clutching a calculator simply won't cut it.
On Saturday, December 9, 2023 at 10:42:36 PM UTC-6, Anthony William Sloman wrote:at arithmetic. They used to be ridiculously pathetic programmers totally lacking in analytical and organizational skills, and probably still are AFAIK. Then don't even let them near singularities. Heaviside's so-called analysis is mere symbolic
On Sunday, December 10, 2023 at 4:19:54 AM UTC+11, John Larkin wrote:
On Sat, 9 Dec 2023 09:07:05 -0800 (PST), Fred Bloggs
<bloggs.fred...@gmail.com> wrote:
On Saturday, December 9, 2023 at 11:25:51?AM UTC-5, John Larkin wrote: >>>>> On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs
<bloggs.fred...@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote: >>>>>>> https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/I have a couple that are. But I have more crazy ideas - that become
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at math.
products - than they do. Is that a correlation somehow?
Hence all these charts, graphs, nomo's, table lookups, handbooks, standards, arithmeticization of transcendental math ( transforms) and whatever else it took to get them *numbers* in least time, if at all. Engineers used to be exceptionally good
genius."It has been suggested that most of the actual inventing was done byEinstein almost invented a few things, like the laser, but didn't.
That's curious.
Actually he did, he collaborated on the design of a refrigerator, and it was patented.
https://en.wikipedia.org/wiki/Einstein_refrigerator
Szilárd". That aligns with my observation that professor types seldom
have original ideas.
John Larkin has his name on one patent taken out by a group he was collaborating with. probably because they felt the need to flatter him.
I've got three patents, and my father and two of my friends have got roughly 25 each. John Larkin doesn't know much about original ideas. And he doesn't know much about professors either - Einstein wasn't a "professor type", he was a card -carrying
I'd think that staring at equations would suggest possibilities, but it rarely does. The positron is an interesting case.
Paul Dirac stared at a lot equations - most of which he had formulated, in order to explain what seemed to be happening. The prediction of the positron was an incidental results of that whole process, not of just staring at equations.
Can't resist again, eh?
May the fleas of a thousand camels invade your armpits.
On 11/12/2023 6:45 am, Phil Hobbs wrote:
bitrex <user@example.net> wrote:
On 12/8/2023 8:20 PM, Lamont Cranston wrote:
On Friday, December 8, 2023 at 6:21:00 PM UTC-6, Cursitor Doom wrote: >>>>> On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <j...@650pot.com> wrote: >>>>>
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <c...@notformail.com> >>>>>> wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <j...@997PotHill.com> >>>>>>> wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the >>>>>>> life for them!
Of course, very few ee's ever use Maxwell's equations. I never have. >>>>> [...]
Yes, well, when I said Maxwell's equations I was kind of meaning the >>>>> main four that Oliver Heaviside was able to reduce them to. Any decent >>>>> RF engineer must surely be familiar with those if not the admittedly >>>>> very abstruse Maxwell originals?
Interestingly Oliver Heavyside had something to say about engineers and math.
See page 7 section 8, 9...
Although page 5 section 5 is fun with all the name dropping. Maxwell, Poynting, Hertz,
Faraday and others.
https://macsphere.mcmaster.ca/bitstream/11375/14746/1/fulltext.pdf
Mikek
Heavyside didn't believe EM propagation was possible inside waveguides,
he thought you absolutely needed a second conductor. So seems even he
sometimes didn't believe what the math was saying.
Heaviside’s dates are 1850–1925.
The Alexanderson alternator, the first CW transmitter, was invented in
1903. It ran at 200 kHz, iirc, using high speed and many many poles. Even >> at that, it would have needed a 1-km-wide waveguide, so in H.’s era it
really wasn’t possible.
Cheers
Phil Hobbs
J C Bose was experimenting with mm-waves in 1895 or so.
Chris Jones <lugnut808@spam.yahoo.com> wrote:
On 11/12/2023 6:45 am, Phil Hobbs wrote:
bitrex <user@example.net> wrote:
On 12/8/2023 8:20 PM, Lamont Cranston wrote:
On Friday, December 8, 2023 at 6:21:00 PM UTC-6, Cursitor Doom wrote: >>>>>> On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <j...@650pot.com> wrote: >>>>>>
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <c...@notformail.com> >>>>>>> wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <j...@997PotHill.com> >>>>>>>> wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the >>>>>>>> life for them!
Of course, very few ee's ever use Maxwell's equations. I never have. >>>>>> [...]
Yes, well, when I said Maxwell's equations I was kind of meaning the >>>>>> main four that Oliver Heaviside was able to reduce them to. Any decent >>>>>> RF engineer must surely be familiar with those if not the admittedly >>>>>> very abstruse Maxwell originals?
Interestingly Oliver Heavyside had something to say about engineers and math.
See page 7 section 8, 9...
Although page 5 section 5 is fun with all the name dropping. Maxwell, Poynting, Hertz,
Faraday and others.
https://macsphere.mcmaster.ca/bitstream/11375/14746/1/fulltext.pdf
Mikek
Heavyside didn't believe EM propagation was possible inside waveguides, >>>> he thought you absolutely needed a second conductor. So seems even he
sometimes didn't believe what the math was saying.
Heaviside’s dates are 1850–1925.
The Alexanderson alternator, the first CW transmitter, was invented in
1903. It ran at 200 kHz, iirc, using high speed and many many poles. Even >>> at that, it would have needed a 1-km-wide waveguide, so in H.’s era it >>> really wasn’t possible.
Cheers
Phil Hobbs
J C Bose was experimenting with mm-waves in 1895 or so.
Reference?
Cheers
Phil Hobbs
On 11/12/2023 6:45 am, Phil Hobbs wrote:
bitrex <user@example.net> wrote:
On 12/8/2023 8:20 PM, Lamont Cranston wrote:
On Friday, December 8, 2023 at 6:21:00 PM UTC-6, Cursitor Doom wrote: >>>>> On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <j...@650pot.com>
wrote:
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom
<c...@notformail.com>
wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin
<j...@997PotHill.com>
wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not >>>>>>> the
life for them!
Of course, very few ee's ever use Maxwell's equations. I never have. >>>>> [...]
Yes, well, when I said Maxwell's equations I was kind of meaning the >>>>> main four that Oliver Heaviside was able to reduce them to. Any decent >>>>> RF engineer must surely be familiar with those if not the admittedly >>>>> very abstruse Maxwell originals?
Interestingly Oliver Heavyside had something to say about engineers
and math.
See page 7 section 8, 9...
Although page 5 section 5 is fun with all the name dropping.
Maxwell, Poynting, Hertz,
Faraday and others.
https://macsphere.mcmaster.ca/bitstream/11375/14746/1/fulltext.pdf
Mikek
Heavyside didn't believe EM propagation was possible inside waveguides,
he thought you absolutely needed a second conductor. So seems even he
sometimes didn't believe what the math was saying.
Heaviside’s dates are 1850–1925.
The Alexanderson alternator, the first CW transmitter, was invented in
1903. It ran at 200 kHz, iirc, using high speed and many many poles.
Even
at that, it would have needed a 1-km-wide waveguide, so in H.’s era it
really wasn’t possible.
Cheers
Phil Hobbs
J C Bose was experimenting with mm-waves in 1895 or so.
Chris Jones <lugnut808@spam.yahoo.com> wrote:
On 11/12/2023 6:45 am, Phil Hobbs wrote:
bitrex <user@example.net> wrote:
On 12/8/2023 8:20 PM, Lamont Cranston wrote:
On Friday, December 8, 2023 at 6:21:00 PM UTC-6, Cursitor Doom wrote: >>>>>> On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <j...@650pot.com> wrote: >>>>>>
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <c...@notformail.com> >>>>>>> wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <j...@997PotHill.com> >>>>>>>> wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the >>>>>>>> life for them!
Of course, very few ee's ever use Maxwell's equations. I never have. >>>>>> [...]
Yes, well, when I said Maxwell's equations I was kind of meaning the >>>>>> main four that Oliver Heaviside was able to reduce them to. Any decent >>>>>> RF engineer must surely be familiar with those if not the admittedly >>>>>> very abstruse Maxwell originals?
Interestingly Oliver Heavyside had something to say about engineers and math.
See page 7 section 8, 9...
Although page 5 section 5 is fun with all the name dropping. Maxwell, Poynting, Hertz,
Faraday and others.
https://macsphere.mcmaster.ca/bitstream/11375/14746/1/fulltext.pdf
Mikek
Heavyside didn't believe EM propagation was possible inside waveguides, >>>> he thought you absolutely needed a second conductor. So seems even he
sometimes didn't believe what the math was saying.
Heaviside’s dates are 1850–1925.
The Alexanderson alternator, the first CW transmitter, was invented in
1903. It ran at 200 kHz, iirc, using high speed and many many poles. Even >>> at that, it would have needed a 1-km-wide waveguide, so in H.’s era it >>> really wasn’t possible.
Cheers
Phil Hobbs
J C Bose was experimenting with mm-waves in 1895 or so.
Reference?
Cheers
Phil Hobbs
Chris Jones <lugnut808@spam.yahoo.com> wrote:
On 11/12/2023 6:45 am, Phil Hobbs wrote:
bitrex <user@example.net> wrote:
On 12/8/2023 8:20 PM, Lamont Cranston wrote:
On Friday, December 8, 2023 at 6:21:00 PM UTC-6, Cursitor Doom wrote: >>>>>> On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <j...@650pot.com> wrote: >>>>>>
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <c...@notformail.com> >>>>>>> wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <j...@997PotHill.com> >>>>>>>> wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the >>>>>>>> life for them!
Of course, very few ee's ever use Maxwell's equations. I never have. >>>>>> [...]
Yes, well, when I said Maxwell's equations I was kind of meaning the >>>>>> main four that Oliver Heaviside was able to reduce them to. Any decent >>>>>> RF engineer must surely be familiar with those if not the admittedly >>>>>> very abstruse Maxwell originals?
Interestingly Oliver Heavyside had something to say about engineers and math.
See page 7 section 8, 9...
Although page 5 section 5 is fun with all the name dropping. Maxwell, Poynting, Hertz,
Faraday and others.
https://macsphere.mcmaster.ca/bitstream/11375/14746/1/fulltext.pdf
Mikek
Heavyside didn't believe EM propagation was possible inside waveguides, >>>> he thought you absolutely needed a second conductor. So seems even he
sometimes didn't believe what the math was saying.
Heaviside’s dates are 1850–1925.
The Alexanderson alternator, the first CW transmitter, was invented in
1903. It ran at 200 kHz, iirc, using high speed and many many poles. Even >>> at that, it would have needed a 1-km-wide waveguide, so in H.’s era it >>> really wasn’t possible.
Cheers
Phil Hobbs
J C Bose was experimenting with mm-waves in 1895 or so.
Reference?
Cheers
Phil Hobbs
Chris Jones <lugnut808@spam.yahoo.com> wrote:
On 11/12/2023 6:45 am, Phil Hobbs wrote:
bitrex <user@example.net> wrote:
On 12/8/2023 8:20 PM, Lamont Cranston wrote:
On Friday, December 8, 2023 at 6:21:00?PM UTC-6, Cursitor Doom wrote: >>>>>> On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <j...@650pot.com> wrote: >>>>>>
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom <c...@notformail.com> >>>>>>> wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin <j...@997PotHill.com> >>>>>>>> wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not the >>>>>>>> life for them!
Of course, very few ee's ever use Maxwell's equations. I never have. >>>>>> [...]
Yes, well, when I said Maxwell's equations I was kind of meaning the >>>>>> main four that Oliver Heaviside was able to reduce them to. Any decent >>>>>> RF engineer must surely be familiar with those if not the admittedly >>>>>> very abstruse Maxwell originals?
Interestingly Oliver Heavyside had something to say about engineers and math.
See page 7 section 8, 9...
Although page 5 section 5 is fun with all the name dropping. Maxwell, Poynting, Hertz,
Faraday and others.
https://macsphere.mcmaster.ca/bitstream/11375/14746/1/fulltext.pdf
Mikek
Heavyside didn't believe EM propagation was possible inside waveguides, >>>> he thought you absolutely needed a second conductor. So seems even he
sometimes didn't believe what the math was saying.
Heaviside’s dates are 1850–1925.
The Alexanderson alternator, the first CW transmitter, was invented in
1903. It ran at 200 kHz, iirc, using high speed and many many poles. Even >>> at that, it would have needed a 1-km-wide waveguide, so in H.’s era it
really wasn’t possible.
Cheers
Phil Hobbs
J C Bose was experimenting with mm-waves in 1895 or so.
Reference?
Cheers
Phil Hobbs
On 12/17/23 07:11, Chris Jones wrote:
On 11/12/2023 6:45 am, Phil Hobbs wrote:
bitrex <user@example.net> wrote:
On 12/8/2023 8:20 PM, Lamont Cranston wrote:
On Friday, December 8, 2023 at 6:21:00?PM UTC-6, Cursitor Doom wrote: >>>>>> On Fri, 08 Dec 2023 15:04:22 -0800, john larkin <j...@650pot.com>
wrote:
On Fri, 08 Dec 2023 22:01:11 +0000, Cursitor Doom
<c...@notformail.com>
wrote:
On Fri, 08 Dec 2023 08:05:09 -0800, John Larkin
<j...@997PotHill.com>
wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
Maxwell's equations. That's where a lot of people decide it's not >>>>>>>> the
life for them!
Of course, very few ee's ever use Maxwell's equations. I never have. >>>>>> [...]
Yes, well, when I said Maxwell's equations I was kind of meaning the >>>>>> main four that Oliver Heaviside was able to reduce them to. Any decent >>>>>> RF engineer must surely be familiar with those if not the admittedly >>>>>> very abstruse Maxwell originals?
Interestingly Oliver Heavyside had something to say about engineers
and math.
See page 7 section 8, 9...
Although page 5 section 5 is fun with all the name dropping.
Maxwell, Poynting, Hertz,
Faraday and others.
https://macsphere.mcmaster.ca/bitstream/11375/14746/1/fulltext.pdf
Mikek
Heavyside didn't believe EM propagation was possible inside waveguides, >>>> he thought you absolutely needed a second conductor. So seems even he
sometimes didn't believe what the math was saying.
Heaviside’s dates are 1850–1925.
The Alexanderson alternator, the first CW transmitter, was invented in
1903. It ran at 200 kHz, iirc, using high speed and many many poles.
Even
at that, it would have needed a 1-km-wide waveguide, so in H.’s era it
really wasn’t possible.
Cheers
Phil Hobbs
J C Bose was experimenting with mm-waves in 1895 or so.
That was pretty amazing work for the time. Remember, no vacuum
tubes or transistors. I was wondering how he generated and detected
his microwaves. The generator was a spherical resonator with spark
gaps on diametrically opposed sides, driven by an induction coil.
The contraption resonated at 60GHz or so.
The detector was a box with two metal sides and springs in between,
probably having some non-linear conductance because of oxidation of
its parts. With that, he was able to demonstrate wave guides, horn
antennas, polarization, refraction, diffraction and reflection of
his waves.
An amazing genius.
Jeroen Belleman
On Sat, 9 Dec 2023 07:13:48 -0800 (PST), Fred Bloggs ><bloggs.fredbloggs.fred@gmail.com> wrote:
On Friday, December 8, 2023 at 11:05:59?AM UTC-5, John Larkin wrote:
https://cosmosmagazine.com/science/mathematics/ripple-effects-of-maths-crisis-spread-to-engineering/
(The aussies call it 'maths')
This may come as a surprise to you, but engineers were NEVER good at math.
I have a couple that are. But I have more crazy ideas - that become
products - than they do. Is that a correlation somehow?
Hence all these charts, graphs, nomo's, table lookups, handbooks, standards, arithmeticization of transcendental math ( transforms) and whatever else ittook to get them *numbers* in least time, if at all. Engineers used to be exceptionally good at arithmetic. They used to be ridiculously pathetic programmers
totally lacking in analytical and organizational skills, and probably still are AFAIK. Then don't even let them near singularities. Heaviside's so-called
analysis is mere symbolic arithmetic. Author of article is a case point, a complete idiot.
Einstein almost invented a few things, like the laser, but didn't.
That's curious.
Calculators erased the need to be good at arithmetic. Slide rules
didn't add or subtract or work to 9 places.
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