Historically, for a long time, we were. It took the invention of zero, a recorded historical event in the "western" world. The invention is deeply encoded in western mathematical theory.
The creation of quadrature operators like "i", "j" and "k" was a wonderful improvement in the utility of analytical methods.
What is a starry eyed optimist. They cannot teach more than half of that list even in the best of schools. They mostly teach the three "C"s. I want a return to the three "R"s.
3 hours above whatever time it took to do what they asked you to do sounds about right. Billing for travel time and productivity lost time is quite normal in the business. You might wish to be more creative in how you label it (prep time?).
Quite the story. When i graduated high school my parents gave me a choice," Go to college or get a job and pay rent", as i was not ready for college i chose the later. Followed USN and many and varied things while working full time through and a BS and more. 6-figure income now. May i presume that you are doing this well as well?
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"it\'s the network..." "The Journey is the reward"
speff@interlog.com Info for manufacturers: http://www.trexon.com
Embedded software/hardware/analog Info for designers: http://www.speff.com
There are two conventions of note; Sign extension and Zero extension. They give dramatically different results. Sign extension is more common but nowhere near universal. Use of a negative sign would be rather uncommon and thus counterintuitive.
I might have a chance on my motorcycle.
Thus my issue about sign extension or not as both are conventional.
There would, i expect, have been much less chaff and more contributions if you had expressed your question more clearly and completely in the first place. I had already figured out your ability to do 2's complement math, before your root post, (probably in your head) as well as anybody reasonably care for (i figure 64 bits minimum). Ya, i am only bitching about the quality of your root post in terms of obtaining an answer to the question you really seemed to want answered.
I'm curious about -8 MHz. Is this 180 deg out of phase with +8 MHz? Or does it mean that instead of your box generating an 8 MHz signal, it "sucks" 8 MHz from whatever your box is connected to? ;)
Yes. And for arbitrary waveforms, they come out reversed in time. And polyphase waveform sets reverse their rotational directions. This is handy for, say, simulating encoders.
Nope. I've been working for myself since about 1983. I tried to grow the business in about 1986, but that ended when my father had a stroke, from which he didn't recover very gracefully. I spent the next 9 year dividing my time between Santa Cruz and Smog Angeles, which was not very conducive to maintaining an income and various relationships. I've always been somewhat of a minimalist and have exerted a minimal effort at keeping my expenses and responsibilities low. The result is zero debt, adequate cash, and currently a dismal income on investments. I have plenty of friends with 6 figure incomes, but they all support a family (or families). They tend to have far less disposable income remaining after dealing with the family and divorce entitlements. I may not be making 6 figures, but I get to keep most of what I make.
I'm a fairly marginal RF designer and haven't designed anything that has actually worked for perhaps 20 years. Some design reviews, business plan analysis, and production troubleshooting, but no actual designs. I'm much better at finding problems than causing them. I also have investments in some speculative startups, but they seem to do better when I'm NOT involved. I spend most of my time these days doing PC repair, which doesn't pay too well, but is much easier and more entertaining.
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Jeff Liebermann jeffl@cruzio.com
150 Felker St #D http://www.LearnByDestroying.com
Santa Cruz CA 95060 http://802.11junk.com
Skype: JeffLiebermann AE6KS 831-336-2558
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"it\'s the network..." "The Journey is the reward"
speff@interlog.com Info for manufacturers: http://www.trexon.com
Embedded software/hardware/analog Info for designers: http://www.speff.com
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