Math and electrical desgin

A topic to elicit some thoughts....

How important is mathematics to you as an engineer? Do you consider yourself an applied mathematician? I would say that I do. As an analog designer how much do you use various mathematical concepts. Basic electronic circuit design does not seem to require a lot of theoretical math, where as, signal processing requires a lot of math.

I have been working , on and off, to really try to understand linear algebra. I am on my 3rd pass ( of the first 10 lectures) of Gilbert Strangs on-line MIT course. I think I am finally getting it. I really want to know linear algebra because I want to be good at matlab which is rooted in linear algebra. However, is linear algebra used in circuit design other than an occasional solving of two or three simultaneous equations?

My chosen area is more RF/radio engineering. On the radio side, the signal processing stuff is definitely math intensive and required to be good at it.
Theoretical EMAG is important, but you can go a long way without being super proficient at maxwells equations.

How is advanced math used in circuit design....I mean where an engineer cannot accomplish his task with out the math?

This post is intended to get some fairly on topic discussion going.

 

[bitrex]

On 3/27/2020 4:24 PM, jlarkin@highlandsniptechnology.com wrote:

On Fri, 27 Mar 2020 12:29:26 -0700 (PDT), blocher@columbus.rr.com
wrote:

A topic to elicit some thoughts....

How important is mathematics to you as an engineer? Do you consider yourself an applied mathematician? I would say that I do. As an analog designer how much do you use various mathematical concepts. Basic electronic circuit design does not seem to require a lot of theoretical math, where as, signal processing requires a lot of math.

I have been working , on and off, to really try to understand linear algebra. I am on my 3rd pass ( of the first 10 lectures) of Gilbert Strangs on-line MIT course. I think I am finally getting it. I really want to know linear algebra because I want to be good at matlab which is rooted in linear algebra. However, is linear algebra used in circuit design other than an occasional solving of two or three simultaneous equations?

My chosen area is more RF/radio engineering. On the radio side, the signal processing stuff is definitely math intensive and required to be good at it.
Theoretical EMAG is important, but you can go a long way without being super proficient at maxwells equations.

How is advanced math used in circuit design....I mean where an engineer cannot accomplish his task with out the math?

This post is intended to get some fairly on topic discussion going.


I design instrumentation, like hardware acquisition and simulation of
aerospace transducers, picosecond timing, laser controllers,
fiberoptic gadgets. Emphasis is on the analog parts, with FPGAs and
uPs behind that, with a fair amount of digital signal processing. My
FPGA guy does a lot more real math than I do. My embedded firmware guy
probably does none.

I do a lot less math than I used to, and mostly "design" by
simulation. I have to intuitively understand the concepts of circuit
theory, electromagnetics, and signals-and-systems, and have to be able
to estimate the order of magnitude of things, to know what will matter
and what won't, but I don't have to do closed-form solutions to
Maxwell's equations.

A benefit to this instinct-and-simulation style of design is that I'm
hugely more productive than I was in earlier times. And the products
are immensely better and more reliable.

I'm trying to teach this to the kids who work for me. Use and train
your instincts, because equations only analyze things. SEE how
convolution or Fourier transforms work, don't just plug into textbook
equations.

Someone recently posted a link to a video where Mike Engelhardt talked
about LT Spice. He said the real value of Spice is train an engineer's
instincts.

Very few interesting mathematical problems are solve-able in
closed-form. You learn linear algebra so you can write simulation
software. Or at the least, understand how the
physics/electronics/digital signal processing chain/weird dynamic system
you're trying to stabilize-math/computer solvers work well enough to ask
the computer meaningful questions.

 

On Friday, March 27, 2020 at 4:24:38 PM UTC-4, jla...@highlandsniptechnology.com wrote:

On Fri, 27 Mar 2020 12:29:26 -0700 (PDT), blocher@columbus.rr.com
wrote:

A topic to elicit some thoughts....

How important is mathematics to you as an engineer? Do you consider yourself an applied mathematician? I would say that I do. As an analog designer how much do you use various mathematical concepts. Basic electronic circuit design does not seem to require a lot of theoretical math, where as, signal processing requires a lot of math.

I have been working , on and off, to really try to understand linear algebra. I am on my 3rd pass ( of the first 10 lectures) of Gilbert Strangs on-line MIT course. I think I am finally getting it. I really want to know linear algebra because I want to be good at matlab which is rooted in linear algebra. However, is linear algebra used in circuit design other than an occasional solving of two or three simultaneous equations?

My chosen area is more RF/radio engineering. On the radio side, the signal processing stuff is definitely math intensive and required to be good at it.
Theoretical EMAG is important, but you can go a long way without being super proficient at maxwells equations.

How is advanced math used in circuit design....I mean where an engineer cannot accomplish his task with out the math?

This post is intended to get some fairly on topic discussion going.


I design instrumentation, like hardware acquisition and simulation of
aerospace transducers, picosecond timing, laser controllers,
fiberoptic gadgets. Emphasis is on the analog parts, with FPGAs and
uPs behind that, with a fair amount of digital signal processing. My
FPGA guy does a lot more real math than I do. My embedded firmware guy
probably does none.

I do a lot less math than I used to, and mostly "design" by
simulation. I have to intuitively understand the concepts of circuit
theory, electromagnetics, and signals-and-systems, and have to be able
to estimate the order of magnitude of things, to know what will matter
and what won't, but I don't have to do closed-form solutions to
Maxwell's equations.

A benefit to this instinct-and-simulation style of design is that I'm
hugely more productive than I was in earlier times. And the products
are immensely better and more reliable.

I'm trying to teach this to the kids who work for me. Use and train
your instincts, because equations only analyze things. SEE how
convolution or Fourier transforms work, don't just plug into textbook
equations.

Someone recently posted a link to a video where Mike Engelhardt talked
about LT Spice. He said the real value of Spice is train an engineer's
instincts.



--

John Larkin Highland Technology, Inc

The cork popped merrily, and Lord Peter rose to his feet.
"Bunter", he said, "I give you a toast. The triumph of Instinct over Reason"

Getting those instincts is a big part of being an "applied" mathematician.

 

On Fri, 27 Mar 2020 12:29:26 -0700 (PDT), blocher@columbus.rr.com
wrote:

A topic to elicit some thoughts....

How important is mathematics to you as an engineer? Do you consider yourself an applied mathematician? I would say that I do. As an analog designer how much do you use various mathematical concepts. Basic electronic circuit design does not seem to require a lot of theoretical math, where as, signal processing requires a lot of math.

I have been working , on and off, to really try to understand linear algebra. I am on my 3rd pass ( of the first 10 lectures) of Gilbert Strangs on-line MIT course. I think I am finally getting it. I really want to know linear algebra because I want to be good at matlab which is rooted in linear algebra. However, is linear algebra used in circuit design other than an occasional solving of two or three simultaneous equations?

My chosen area is more RF/radio engineering. On the radio side, the signal processing stuff is definitely math intensive and required to be good at it.
Theoretical EMAG is important, but you can go a long way without being super proficient at maxwells equations.

How is advanced math used in circuit design....I mean where an engineer cannot accomplish his task with out the math?

This post is intended to get some fairly on topic discussion going.

I design instrumentation, like hardware acquisition and simulation of
aerospace transducers, picosecond timing, laser controllers,
fiberoptic gadgets. Emphasis is on the analog parts, with FPGAs and
uPs behind that, with a fair amount of digital signal processing. My
FPGA guy does a lot more real math than I do. My embedded firmware guy
probably does none.

I do a lot less math than I used to, and mostly "design" by
simulation. I have to intuitively understand the concepts of circuit
theory, electromagnetics, and signals-and-systems, and have to be able
to estimate the order of magnitude of things, to know what will matter
and what won't, but I don't have to do closed-form solutions to
Maxwell's equations.

A benefit to this instinct-and-simulation style of design is that I'm
hugely more productive than I was in earlier times. And the products
are immensely better and more reliable.

I'm trying to teach this to the kids who work for me. Use and train
your instincts, because equations only analyze things. SEE how
convolution or Fourier transforms work, don't just plug into textbook
equations.

Someone recently posted a link to a video where Mike Engelhardt talked
about LT Spice. He said the real value of Spice is train an engineer's
instincts.



--

John Larkin Highland Technology, Inc

The cork popped merrily, and Lord Peter rose to his feet.
"Bunter", he said, "I give you a toast. The triumph of Instinct over Reason"

 

[bitrex]

On 3/27/2020 3:29 PM, blocher@columbus.rr.com wrote:

A topic to elicit some thoughts....

How important is mathematics to you as an engineer? Do you consider yourself an applied mathematician? I would say that I do. As an analog designer how much do you use various mathematical concepts. Basic electronic circuit design does not seem to require a lot of theoretical math, where as, signal processing requires a lot of math.

I have been working , on and off, to really try to understand linear algebra. I am on my 3rd pass ( of the first 10 lectures) of Gilbert Strangs on-line MIT course. I think I am finally getting it. I really want to know linear algebra because I want to be good at matlab which is rooted in linear algebra. However, is linear algebra used in circuit design other than an occasional solving of two or three simultaneous equations?

My chosen area is more RF/radio engineering. On the radio side, the signal processing stuff is definitely math intensive and required to be good at it.
Theoretical EMAG is important, but you can go a long way without being super proficient at maxwells equations.

How is advanced math used in circuit design....I mean where an engineer cannot accomplish his task with out the math?

This post is intended to get some fairly on topic discussion going.

You learn math so you can write the software/script that does the hard
work of finding the answer for you. Have to learn how to ask the
question, though.

Basic electronic design doesn't require much "advanced math" because the
state space is huge, every problem is massively under-determined, the
full equations of state for even many relatively simple circuits are
intractable and impossible for any person to comprehend. you can get by
pretty good on heuristics that work well enough in many cases. thank
goodness for that or nobody could get anything done.

When they break down though being able to write some of your own scripts
is very helpful

 

[bitrex]

On 3/27/2020 4:33 PM, blocher@columbus.rr.com wrote:

On Friday, March 27, 2020 at 4:24:38 PM UTC-4, jla...@highlandsniptechnology.com wrote:
On Fri, 27 Mar 2020 12:29:26 -0700 (PDT), blocher@columbus.rr.com
wrote:

A topic to elicit some thoughts....

How important is mathematics to you as an engineer? Do you consider yourself an applied mathematician? I would say that I do. As an analog designer how much do you use various mathematical concepts. Basic electronic circuit design does not seem to require a lot of theoretical math, where as, signal processing requires a lot of math.

I have been working , on and off, to really try to understand linear algebra. I am on my 3rd pass ( of the first 10 lectures) of Gilbert Strangs on-line MIT course. I think I am finally getting it. I really want to know linear algebra because I want to be good at matlab which is rooted in linear algebra. However, is linear algebra used in circuit design other than an occasional solving of two or three simultaneous equations?

My chosen area is more RF/radio engineering. On the radio side, the signal processing stuff is definitely math intensive and required to be good at it.
Theoretical EMAG is important, but you can go a long way without being super proficient at maxwells equations.

How is advanced math used in circuit design....I mean where an engineer cannot accomplish his task with out the math?

This post is intended to get some fairly on topic discussion going.


I design instrumentation, like hardware acquisition and simulation of
aerospace transducers, picosecond timing, laser controllers,
fiberoptic gadgets. Emphasis is on the analog parts, with FPGAs and
uPs behind that, with a fair amount of digital signal processing. My
FPGA guy does a lot more real math than I do. My embedded firmware guy
probably does none.

I do a lot less math than I used to, and mostly "design" by
simulation. I have to intuitively understand the concepts of circuit
theory, electromagnetics, and signals-and-systems, and have to be able
to estimate the order of magnitude of things, to know what will matter
and what won't, but I don't have to do closed-form solutions to
Maxwell's equations.

A benefit to this instinct-and-simulation style of design is that I'm
hugely more productive than I was in earlier times. And the products
are immensely better and more reliable.

I'm trying to teach this to the kids who work for me. Use and train
your instincts, because equations only analyze things. SEE how
convolution or Fourier transforms work, don't just plug into textbook
equations.

Someone recently posted a link to a video where Mike Engelhardt talked
about LT Spice. He said the real value of Spice is train an engineer's
instincts.



--

John Larkin Highland Technology, Inc

The cork popped merrily, and Lord Peter rose to his feet.
"Bunter", he said, "I give you a toast. The triumph of Instinct over Reason"

Getting those instincts is a big part of being an "applied" mathematician.

A practical example: do you know how easy it is to find the transfer
function of an arbitrary-length ladder-network of arbitrary RLCs in
series and shunt using matrix multiplication and ABCD parameters, with a
little help from a symbolic math package like Octave? Easy as shit! I
use that one all the time.

 

On Fri, 27 Mar 2020 13:33:00 -0700 (PDT), blocher@columbus.rr.com
wrote:

On Friday, March 27, 2020 at 4:24:38 PM UTC-4, jla...@highlandsniptechnology.com wrote:
On Fri, 27 Mar 2020 12:29:26 -0700 (PDT), blocher@columbus.rr.com
wrote:

A topic to elicit some thoughts....

How important is mathematics to you as an engineer? Do you consider yourself an applied mathematician? I would say that I do. As an analog designer how much do you use various mathematical concepts. Basic electronic circuit design does not seem to require a lot of theoretical math, where as, signal processing requires a lot of math.

I have been working , on and off, to really try to understand linear algebra. I am on my 3rd pass ( of the first 10 lectures) of Gilbert Strangs on-line MIT course. I think I am finally getting it. I really want to know linear algebra because I want to be good at matlab which is rooted in linear algebra. However, is linear algebra used in circuit design other than an occasional solving of two or three simultaneous equations?

My chosen area is more RF/radio engineering. On the radio side, the signal processing stuff is definitely math intensive and required to be good at it.
Theoretical EMAG is important, but you can go a long way without being super proficient at maxwells equations.

How is advanced math used in circuit design....I mean where an engineer cannot accomplish his task with out the math?

This post is intended to get some fairly on topic discussion going.


I design instrumentation, like hardware acquisition and simulation of
aerospace transducers, picosecond timing, laser controllers,
fiberoptic gadgets. Emphasis is on the analog parts, with FPGAs and
uPs behind that, with a fair amount of digital signal processing. My
FPGA guy does a lot more real math than I do. My embedded firmware guy
probably does none.

I do a lot less math than I used to, and mostly "design" by
simulation. I have to intuitively understand the concepts of circuit
theory, electromagnetics, and signals-and-systems, and have to be able
to estimate the order of magnitude of things, to know what will matter
and what won't, but I don't have to do closed-form solutions to
Maxwell's equations.

A benefit to this instinct-and-simulation style of design is that I'm
hugely more productive than I was in earlier times. And the products
are immensely better and more reliable.

I'm trying to teach this to the kids who work for me. Use and train
your instincts, because equations only analyze things. SEE how
convolution or Fourier transforms work, don't just plug into textbook
equations.

Someone recently posted a link to a video where Mike Engelhardt talked
about LT Spice. He said the real value of Spice is train an engineer's
instincts.



--

John Larkin Highland Technology, Inc

The cork popped merrily, and Lord Peter rose to his feet.
"Bunter", he said, "I give you a toast. The triumph of Instinct over Reason"

Getting those instincts is a big part of being an "applied" mathematician.

Or a creative physicist. Visualization of concepts comes before
writing equations.

Einstein had some interesting thoughts about that, as did Richard
Feynman.



--

John Larkin Highland Technology, Inc

The cork popped merrily, and Lord Peter rose to his feet.
"Bunter", he said, "I give you a toast. The triumph of Instinct over Reason"

 

[bitrex]

On 3/27/2020 3:29 PM, blocher@columbus.rr.com wrote:

A topic to elicit some thoughts....

How important is mathematics to you as an engineer? Do you consider yourself an applied mathematician? I would say that I do. As an analog designer how much do you use various mathematical concepts. Basic electronic circuit design does not seem to require a lot of theoretical math, where as, signal processing requires a lot of math.

I have been working , on and off, to really try to understand linear algebra. I am on my 3rd pass ( of the first 10 lectures) of Gilbert Strangs on-line MIT course. I think I am finally getting it. I really want to know linear algebra because I want to be good at matlab which is rooted in linear algebra. However, is linear algebra used in circuit design other than an occasional solving of two or three simultaneous equations?

My chosen area is more RF/radio engineering. On the radio side, the signal processing stuff is definitely math intensive and required to be good at it.
Theoretical EMAG is important, but you can go a long way without being super proficient at maxwells equations.

How is advanced math used in circuit design....I mean where an engineer cannot accomplish his task with out the math?

This post is intended to get some fairly on topic discussion going.

Check out Wes Hayward's "Introduction to Radio Frequency Design" for a
relatively math-intensive but also pragmatic, real-world-circuit
oriented RF design book. The step-by-step walkthrough of designing PLLs,
low-distortion amplifiers, and oscillators, using math, is very informative

 

blocher@columbus.rr.com wrote in
news:f0b79ed8-9e1f-4f4d-85d2-a99f21be4fb5@googlegroups.com:

Getting those instincts is a big part of being an "applied"
mathematician.

I 'apply' it all into my computer or calculator and let it do the
math.

On my iPad, I apply it into my Wolfram's Alpha app and it finds out
all kinds of goodies on any high end scientific subject.

One of the apps I was glad to pay for on my iPad.

 

+1 on Wes Hayward

That's the first time I've agreed with T. Bit this year.

Cheers

Phil Hobbs

 

jlarkin@highlandsniptechnology.com wrote in
news:86ns7fhvf1jenfnj92adirpc8t17vkne50@4ax.com:

> uPs

It is not an uninterruptible power supply. It is a microprocessor.
Need the Latin Mu symbol ľ And you knew that. You're just lazy.

Alt-0181

Just like math, certain key combinations should be known by today's
modern computer user.

ľPs

Looks better.
Sounds better.
Feels good.
Real good.
Get some.

Degree symbol is alt-0176
37° C

39° C would be where I start looking for other symptoms.

Another way is to hit the windows symbol key and the R key to bring
up the Run dialog, and enter 'charmap' in the dialog box and press
return. Grab any character you want at that point, and see the key
combo down in the lower status bar.

 

How important is mathematics to you as an engineer?  
Do you consider yourself an applied mathematician?  
I would say that I do.  As an analog designer how much do you
use various mathematical concepts.

A lot of what I do is (a) for a given electro-optical design concept, calculate how good it _could_ be, (b) figure out how to get there, and (c) if that's a win, proceed, but if not, think up something better and goto(a).

Significant amounts of math are required to get a good result, as well as a lot of lore and old fashioned crank-turning.

Cheers

Phil Hobbs

 

[Rick C]

On Friday, March 27, 2020 at 3:29:36 PM UTC-4, blo...@columbus.rr.com wrote:

A topic to elicit some thoughts....

How important is mathematics to you as an engineer? Do you consider yourself an applied mathematician? I would say that I do. As an analog designer how much do you use various mathematical concepts. Basic electronic circuit design does not seem to require a lot of theoretical math, where as, signal processing requires a lot of math.

I have been working , on and off, to really try to understand linear algebra. I am on my 3rd pass ( of the first 10 lectures) of Gilbert Strangs on-line MIT course. I think I am finally getting it. I really want to know linear algebra because I want to be good at matlab which is rooted in linear algebra. However, is linear algebra used in circuit design other than an occasional solving of two or three simultaneous equations?

My chosen area is more RF/radio engineering. On the radio side, the signal processing stuff is definitely math intensive and required to be good at it.
Theoretical EMAG is important, but you can go a long way without being super proficient at maxwells equations.

How is advanced math used in circuit design....I mean where an engineer cannot accomplish his task with out the math?

This post is intended to get some fairly on topic discussion going.

Math is the foundation of all science and engineering.

That said, if you aren't building the foundation, you can use fairly basic math and git 'er done!

Once in a while I actually use calculus. I've sometimes used differential equations. I use very basic forms of abstract algebra which includes Post algebras which includes Boolean algebra. But more than all the others put together what I use is basic algebra. I can't say I've knowingly used linear algebra although some of the things I've learned may well be part of that.

So your work is not so much circuit design as it is system design?

--

Rick C.

- Get 1,000 miles of free Supercharging
- Tesla referral code - https://ts.la/richard11209

 

Le 27/03/2020 à 23:26, DecadentLinuxUserNumeroUno@decadence.org a Êcrit :

jlarkin@highlandsniptechnology.com wrote in
news:86ns7fhvf1jenfnj92adirpc8t17vkne50@4ax.com:

uPs

It is not an uninterruptible power supply. It is a microprocessor.
Need the Latin Mu symbol Âľ And you knew that. You're just lazy.

Alt-0181

Just like math, certain key combinations should be known by today's
modern computer user.

ÂľPs

Looks better.
Sounds better.
Feels good.
Real good.
Get some.

Degree symbol is alt-0176
37° C

39° C would be where I start looking for other symptoms.

Another way is to hit the windows symbol key and the R key to bring
up the Run dialog, and enter 'charmap' in the dialog box and press
return. Grab any character you want at that point, and see the key
combo down in the lower status bar.

You are a ass hole

 

bilboard@eu.eu wrote in news:5e7f551f$0$21605$426a74cc@news.free.fr:

Le 27/03/2020 Ă  23:26, DecadentLinuxUserNumeroUno@decadence.org a
Êcrit :
jlarkin@highlandsniptechnology.com wrote in
news:86ns7fhvf1jenfnj92adirpc8t17vkne50@4ax.com:

uPs

It is not an uninterruptible power supply. It is a
microprocessor.
Need the Latin Mu symbol Âľ And you knew that. You're just
lazy.

Alt-0181

Just like math, certain key combinations should be known by
today's
modern computer user.

ÂľPs

Looks better.
Sounds better.
Feels good.
Real good.
Get some.

Degree symbol is alt-0176
37° C

39° C would be where I start looking for other symptoms.

Another way is to hit the windows symbol key and the R key to
bring
up the Run dialog, and enter 'charmap' in the dialog box and
press return. Grab any character you want at that point, and see
the key combo down in the lower status bar.


You are a ass hole

You are a retard.

Se how easy that was?

Oh, and the term is a single word, child. As in:

YOU are an ASSHOLE!

Can always tell when the retarded adolescent brained punk fucks
chime in. You're busted, little boy. Go back to your little game
console.

 

[Mike Coon]

In article <r5lujd$1pt7$1@gioia.aioe.org>,
DecadentLinuxUserNumeroUno@decadence.org says...

It is not an uninterruptible power supply. It is a microprocessor.
Need the Latin Mu symbol ľ And you knew that. You're just lazy.

And you are just intentionally setting out to annoy the Greeks by
calling "symbol ľ" "Latin"!

Mike.

 

[Rick C]

On Saturday, March 28, 2020 at 11:09:16 AM UTC-4, Mike Coon wrote:

In article <r5lujd$1pt7$1@gioia.aioe.org>,
DecadentLinuxUserNumeroUno@decadence.org says...

It is not an uninterruptible power supply. It is a microprocessor.
Need the Latin Mu symbol Âľ And you knew that. You're just lazy.

And you are just intentionally setting out to annoy the Greeks by
calling "symbol Âľ" "Latin"!

Imagine how it makes the Latinos feel too!

--

Rick C.

+ Get 1,000 miles of free Supercharging
+ Tesla referral code - https://ts.la/richard11209

 

On Sat, 28 Mar 2020 12:50:02 -0400, bitrex <user@example.net> wrote:

On 3/28/2020 12:45 PM, bitrex wrote:
On 3/27/2020 6:28 PM, pcdhobbs@gmail.com wrote:
+1 on Wes Hayward

That's the first time I've agreed with T. Bit this year.

Cheers

Phil Hobbs


Very good book, it was definitely over my head when I first picked up a
copy about 12 years ago (bedridden due to illness at the time ironically
enough, thankfully that passed) and I had to come back and approach it
repeatedly to start pulling "ahhhhh I sees" out of it but it paid off
eventually.

Like jamming with a musician who's much more experienced than you but
still fairly down-to-earth Hayward is the kind of author that tries to
really pull you up to his level whether you want to or not.

I would say other books like that are, in the audio-world Douglas Self's
books on power amp and small-signal audio design, the Bracewell book on
the Fourier transform in the dsp-world, "Modern C++ Design" by Andrei
Alexandrescu in the programming-world, and of course AoE III free plug!
free plug!

If I were to count how many times a book is pulled off the shelf and
used, the winner would be the Williams filter book. After that,
Reference Data For Radio Engineers, for the wire size and screw thread
tables. AoE fairly often too.



--

John Larkin Highland Technology, Inc

The cork popped merrily, and Lord Peter rose to his feet.
"Bunter", he said, "I give you a toast. The triumph of Instinct over Reason"

 

[bitrex]

On 3/27/2020 6:28 PM, pcdhobbs@gmail.com wrote:

+1 on Wes Hayward

That's the first time I've agreed with T. Bit this year.

Cheers

Phil Hobbs

Very good book, it was definitely over my head when I first picked up a
copy about 12 years ago (bedridden due to illness at the time ironically
enough, thankfully that passed) and I had to come back and approach it
repeatedly to start pulling "ahhhhh I sees" out of it but it paid off
eventually.

Like jamming with a musician who's much more experienced than you but
still fairly down-to-earth Hayward is the kind of author that tries to
really pull you up to his level whether you want to or not.

My copy is pretty worn and dog-eared by this point but I can't seem to
find it on Amazon anymore.

 

Mike Coon <gravity@mjcoon.plus.com> wrote in
news:MPG.38e978f391e53d2fac@news.plus.net:

In article <r5lujd$1pt7$1@gioia.aioe.org>,
DecadentLinuxUserNumeroUno@decadence.org says...

It is not an uninterruptible power supply. It is a microprocessor.
Need the Latin Mu symbol ľ And you knew that. You're just lazy.

And you are just intentionally setting out to annoy the Greeks by
calling "symbol ľ" "Latin"!

Mike.

Nag nag nag... Oops

Brainus Bustus