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| author | EmacsConf <emacsconf-org@gnu.org> | 2025-12-06 13:00:31 -0500 |
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| committer | EmacsConf <emacsconf-org@gnu.org> | 2025-12-06 13:00:31 -0500 |
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| tree | 887a902c35ce88fe46214a8e3beb4fb4f46f1a48 /2025/captions/emacsconf-2025-calc--basic-calc-functionality-for-engineering-or-electronics--christopher-howard--main.vtt | |
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diff --git a/2025/captions/emacsconf-2025-calc--basic-calc-functionality-for-engineering-or-electronics--christopher-howard--main.vtt b/2025/captions/emacsconf-2025-calc--basic-calc-functionality-for-engineering-or-electronics--christopher-howard--main.vtt new file mode 100644 index 00000000..f0bf2d2a --- /dev/null +++ b/2025/captions/emacsconf-2025-calc--basic-calc-functionality-for-engineering-or-electronics--christopher-howard--main.vtt @@ -0,0 +1,888 @@ +WEBVTT captioned by sachac + +NOTE Introduction + +00:00:03.620 --> 00:00:08.799 +Hello, my name is Christopher Howard and welcome to my talk. + +00:00:08.800 --> 00:00:11.319 +This is basically an introduction + +00:00:11.320 --> 00:00:15.119 +to the built-in Emacs calculator, + +00:00:15.120 --> 00:00:18.319 +properly known as Emacs Calc, + +00:00:18.320 --> 00:00:21.439 +particularly from the perspective of someone + +00:00:21.440 --> 00:00:27.559 +with a technical background such as engineering or electronics. + +00:00:27.560 --> 00:00:32.879 +I will say, though, my personal interest is not really + +00:00:32.880 --> 00:00:37.839 +in digital computing or digital calculators, + +00:00:37.840 --> 00:00:42.519 +but lately has been focused more on analog computing. + +00:00:42.520 --> 00:00:46.799 +I have, for example, been working to master + +00:00:46.800 --> 00:00:50.839 +the venerable slide rule, a mechanical computer + +00:00:50.840 --> 00:00:57.319 +that calculates multiplication powers and logarithms. + +00:00:57.320 --> 00:01:02.199 +Here's a picture of one. + +00:01:02.200 --> 00:01:06.799 +It's a physical tool that was used for hundreds of years + +00:01:06.800 --> 00:01:08.999 +for this sort of thing + +00:01:09.000 --> 00:01:16.679 +before the handheld calculator was made popular. + +00:01:16.680 --> 00:01:18.639 +And I also had a project that I did + +00:01:18.640 --> 00:01:21.119 +for a while to several months + +00:01:21.120 --> 00:01:33.119 +to build an electronic analog computer. + +00:01:33.120 --> 00:01:38.679 +A rudimentary attempt of mine, but it's functional, + +00:01:38.680 --> 00:01:43.399 +and it's basically a 1960s or 1970s style + +00:01:43.400 --> 00:01:48.839 +electronic analog computer built very much on a budget, + +00:01:48.840 --> 00:01:52.559 +but the box in the middle is the computer proper + +00:01:52.560 --> 00:01:55.719 +which has most of the components inside of it + +00:01:55.720 --> 00:02:00.199 +as well as the potentiometers for setting values, + +00:02:00.200 --> 00:02:02.039 +and an operation switch. + +00:02:02.040 --> 00:02:04.399 +There's a patch panel on the left + +00:02:04.400 --> 00:02:07.119 +for connecting the different integrators, + +00:02:07.120 --> 00:02:11.319 +amplifiers, multipliers, and so forth together. + +00:02:11.320 --> 00:02:16.919 +Then the output of the simulation is displayed + +00:02:16.920 --> 00:02:19.799 +on the oscilloscope on the right side, + +00:02:19.800 --> 00:02:25.479 +which is a digital oscilloscope. + +00:02:25.480 --> 00:02:28.439 +To be honest, I think that a talk about analog computing + +00:02:28.440 --> 00:02:30.199 +would be much more interesting + +00:02:30.200 --> 00:02:32.039 +than the talk that I'm about to give, + +00:02:32.040 --> 00:02:36.639 +but unfortunately that would be out of scope for EmacsConf. + +NOTE What is Calc? + +00:02:36.640 --> 00:02:39.919 +So instead I will talk about Emacs Calc, + +00:02:39.920 --> 00:02:43.359 +the digital calculator built into Emacs. + +00:02:43.360 --> 00:02:47.519 +Emacs Calc, while not being a replacement for software + +00:02:47.520 --> 00:02:51.479 +like GNU Octave, does have advanced calculator functionality + +00:02:51.480 --> 00:02:55.039 +that can be useful in engineering, electronics, + +00:02:55.040 --> 00:03:00.759 +or other technical applications. So I don't want to oversell it, + +00:03:00.760 --> 00:03:06.479 +but I think functionality-wise, Calc is somewhere in between + +00:03:06.480 --> 00:03:12.239 +what you'd expect of a decent scientific calculator + +00:03:12.240 --> 00:03:23.939 +and an advanced graphics calculator. + +00:03:23.940 --> 00:03:28.839 +So this talk I'll mention is not intended to be a tutorial + +00:03:28.840 --> 00:03:33.839 +but only a brief introduction to Calc. + +00:03:33.840 --> 00:03:37.439 +Please refer to the built-in Calc info manual + +00:03:37.440 --> 00:03:46.739 +for detailed instructions on how to complete operations. + +00:03:46.740 --> 00:04:01.479 +Turn off my volume here. + +00:04:01.480 --> 00:04:05.719 +The documentation for Emacs Calc is built-in, + +00:04:05.720 --> 00:04:10.439 +although on some distributions you may have to install + +00:04:10.440 --> 00:04:24.479 +the Emacs documentation separately for licensing reasons. + +00:04:24.480 --> 00:04:28.599 +Calc presents itself as a stack-based calculator + +00:04:28.600 --> 00:04:31.599 +where entries are dropped onto a stack + +00:04:31.600 --> 00:04:36.739 +and then an operation is performed on the stack entries. + +00:04:36.740 --> 00:04:42.899 +For example, I can drop 1.23 onto the stack, + +00:04:42.900 --> 00:04:54.279 +and then 8.56, and then multiply them together. + +NOTE calc-algebraic-entry + +00:04:54.280 --> 00:05:01.559 +It may present itself as a stack-based calculator, + +00:05:01.560 --> 00:05:05.399 +but indeed, Calc is also capable of accepting input + +00:05:05.400 --> 00:05:07.739 +in the more well-known algebraic format + +00:05:07.740 --> 00:05:10.759 +by using the calc-algebraic-entry command, + +00:05:10.760 --> 00:05:14.999 +which by default is bound to the apostrophe (') key. + +00:05:15.000 --> 00:05:19.759 +So you type the apostrophe key, enter the algebraic input, + +00:05:19.760 --> 00:05:22.759 +including parentheses as needed. + +00:05:22.760 --> 00:05:28.199 +For example, here's a calculation of the resonance frequency + +00:05:28.200 --> 00:05:35.039 +of a coil which has an inductance of 250 microhenries + +00:05:35.040 --> 00:05:41.059 +and 160 picofarads, taken from one of my electronics handbooks. + +00:05:41.060 --> 00:05:50.019 +The formula for that is 1 over 2 pi + +00:05:50.020 --> 00:05:57.439 +and then the square root of our inductance + +00:05:57.440 --> 00:06:06.279 +which is in this case 250 microfarads - excuse me, microhenries + +00:06:06.280 --> 00:06:19.399 +and then the capacitance is 160 picofarads. + +00:06:19.400 --> 00:06:24.399 +Small typo here. + +00:06:24.400 --> 00:06:26.639 +Now I need to evaluate that one more time, + +00:06:26.640 --> 00:06:30.919 +because pi is a symbol. + +00:06:30.920 --> 00:06:37.398 +I get about 800 kHz resonant frequency. + +NOTE calc-roll-down + +00:06:37.399 --> 00:06:41.679 +The command calc-roll-down, + +00:06:41.680 --> 00:06:44.199 +which by default is bound to the TAB key, + +00:06:44.200 --> 00:06:47.919 +will swap the top two stack entries, + +00:06:47.920 --> 00:06:51.559 +which is sometimes useful if you need to manipulate something + +00:06:51.560 --> 00:06:56.999 +that's further down the stack. + +00:06:57.000 --> 00:07:02.039 +So I can swap this around and say multiply by two + +00:07:02.040 --> 00:07:05.479 +and then put it back where it was. + +00:07:05.480 --> 00:07:14.039 +This command is also capable of rolling the entire stack. + +00:07:14.040 --> 00:07:18.899 +Say I want to shift them all around. + +00:07:18.900 --> 00:07:21.399 +This can be done by passing extra arguments + +00:07:21.400 --> 00:07:23.559 +to the calc-roll-down function. + +00:07:23.560 --> 00:07:28.279 +That's a little bit inconvenient to do manually, + +00:07:28.280 --> 00:07:40.079 +so in my init file, I defined here a key definition + +00:07:40.080 --> 00:07:45.759 +that passes in those arguments correctly. + +00:07:45.760 --> 00:07:49.179 +I attached this to shift-tab, + +00:07:49.180 --> 00:07:52.319 +so this way, I can roll the entire stack. + +00:07:52.320 --> 00:07:56.159 +Then I could change one entry here + +00:07:56.160 --> 00:08:03.459 +and then put it back where it was. + +00:08:03.460 --> 00:08:07.759 +So Calc does algebraic input. + +NOTE Advanced functions + +00:08:07.760 --> 00:08:10.159 +It also does advanced functions + +00:08:10.160 --> 00:08:15.599 +that you would expect any handheld scientific calculator, + +00:08:15.600 --> 00:08:19.159 +including trigonometric functions. + +00:08:19.160 --> 00:08:25.319 +For example, we can get the sine of a number. + +00:08:25.320 --> 00:08:30.719 +Now I'll mention here that Calc has multiple modes. + +00:08:30.720 --> 00:08:32.319 +Right now it's in degree mode. + +00:08:32.320 --> 00:08:38.159 +You can switch over to radian mode if you want. + +00:08:38.160 --> 00:08:42.799 +I'm going to put it back in degrees. + +00:08:42.800 --> 00:08:49.799 +Drop 12 degrees on the stack, and then get the sine of that. + +00:08:49.800 --> 00:08:58.179 +And then with the inverse sine function, I can put it back. + +NOTE Solving equations with calc-solve-for + +00:08:58.180 --> 00:09:07.519 +Calc also has the nifty ability to solve equations for you + +00:09:07.520 --> 00:09:13.919 +so long as the equation is not too complicated. + +00:09:13.920 --> 00:09:19.959 +This is using the calc-solve-for function. + +00:09:19.960 --> 00:09:31.699 +For example, we could enter in an equation algebraically, + +00:09:31.700 --> 00:09:36.679 +then run calc-solve-for, and we just have to tell it + +00:09:36.680 --> 00:09:40.999 +what variable we want to solve for. And there we go. + +00:09:41.000 --> 00:09:43.199 +We can do this manually as well + +00:09:43.200 --> 00:09:54.719 +just so you can see that we get the same result. + +NOTE Systems of equations + +00:09:54.720 --> 00:09:57.959 +Calc is also able to solve systems of equations. + +00:09:57.960 --> 00:10:03.439 +We can put more than one equation on the stack, + +00:10:03.440 --> 00:10:08.959 +and then solve for several variables. + +00:10:08.960 --> 00:10:13.319 +To give a technical example for this, + +00:10:13.320 --> 00:10:30.659 +I'll show you a resistor network scribble that I did recently. + +00:10:30.660 --> 00:10:32.819 +Hopefully you can see that. Basically, + +00:10:32.820 --> 00:10:38.719 +it's fairly simple, a pretty simple resistor network + +00:10:38.720 --> 00:10:42.159 +with 1 kilo ohm and 10 kilo ohm resistors, + +00:10:42.160 --> 00:10:48.959 +and using the loop methods, we are calculating the currents, + +00:10:48.960 --> 00:10:52.759 +the current in each loop, and then that current can be used + +00:10:52.760 --> 00:10:58.839 +to solve for the voltage of each individual resistor + +00:10:58.840 --> 00:11:06.199 +if we want to. So at the bottom there we have the equations + +00:11:06.200 --> 00:11:11.519 +that we come up with as we work through each loop. + +00:11:11.520 --> 00:11:19.579 +And I'm going to paste that into Calc. + +00:11:19.580 --> 00:11:22.719 +To save some time, I'm going to copy and paste that + +00:11:22.720 --> 00:11:34.259 +from my notes instead of typing it out. + +00:11:34.260 --> 00:11:38.259 +So we have two equations there on the stack + +00:11:38.260 --> 00:11:44.719 +in one stack entry. We run that calc-solve-for function again, + +00:11:44.720 --> 00:11:49.899 +and we tell it which variables we want to solve for. + +00:11:49.900 --> 00:11:51.959 +And voila! Those are our currents, + +00:11:51.960 --> 00:11:55.719 +which we can then use to get the voltages + +00:11:55.720 --> 00:12:00.079 +for the individual resistors. + +NOTE calc-find-root + +00:12:00.080 --> 00:12:01.999 +I'll just briefly mention + +00:12:02.000 --> 00:12:05.839 +that if Calc is not able to solve an equation + +00:12:05.840 --> 00:12:07.779 +with calc-solve-for, + +00:12:07.780 --> 00:12:10.279 +then you might be helped by another calc function + +00:12:10.280 --> 00:12:11.559 +called calc-find-root. + +00:12:11.560 --> 00:12:14.439 +This function basically does a manual search + +00:12:14.440 --> 00:12:30.199 +for a numerical solution to the equation. + +00:12:30.200 --> 00:12:39.959 +And there's the documentation page on that. + +NOTE Derivatives and integrals + +00:12:39.960 --> 00:12:44.039 +Calc can also solve or find derivatives of functions, + +00:12:44.040 --> 00:12:47.579 +at least the more straightforward functions. + +00:12:47.580 --> 00:12:49.839 +For a simple example, + +00:12:49.840 --> 00:13:00.559 +we can get the derivative of that + +00:13:00.560 --> 00:13:11.979 +with the derivative function. + +00:13:11.980 --> 00:13:17.159 +On the other hand, Calc is also capable of figuring out + +00:13:17.160 --> 00:13:22.099 +indefinite integrals. + +00:13:22.100 --> 00:13:26.859 +Say we put that function back on the stack, + +00:13:26.860 --> 00:13:32.559 +and this time, we call the integral function. + +00:13:32.560 --> 00:13:35.079 +There you go. Of course, you have to add + +00:13:35.080 --> 00:13:39.819 +your own constant of integration. + +00:13:39.820 --> 00:13:43.399 +For integrals that Calc cannot figure out symbolically, + +00:13:43.400 --> 00:13:46.079 +a numerical integration method is available + +00:13:46.080 --> 00:13:59.998 +through the calc-num-integral command, which is documented... + +00:13:59.999 --> 00:14:17.539 +The function documentation is available here, more or less. + +NOTE Programmable functions + +00:14:17.540 --> 00:14:20.399 +I definitely need to mention + +00:14:20.400 --> 00:14:24.759 +that Calc is capable of doing programmable functions. + +00:14:24.760 --> 00:14:29.619 +That is to say, you can program your own functions into Calc. + +00:14:29.620 --> 00:14:32.239 +There are three separate ways to do this. + +00:14:32.240 --> 00:14:36.279 +One is through a macro method + +00:14:36.280 --> 00:14:41.539 +similar to Emacs's usual keyboard macros. + +00:14:41.540 --> 00:14:46.519 +The second method is to transform an algebraic function + +00:14:46.520 --> 00:14:50.859 +into a stored function definition. + +00:14:50.860 --> 00:14:54.059 +And the third is to use Elisp directly. + +00:14:54.060 --> 00:14:56.599 +Personally, I find that the second method + +00:14:56.600 --> 00:15:01.799 +is the most practical, the most convenient and practical + +00:15:01.800 --> 00:15:08.059 +in my opinion. So I'll give a quick example of that. + +00:15:08.060 --> 00:15:14.159 +So I could... Let's say I wanted to have a function + +00:15:14.160 --> 00:15:20.699 +for calculating capacitive reactance. + +00:15:20.700 --> 00:15:28.899 +I'll define that in algebraic mode first. + +00:15:28.900 --> 00:15:33.639 +The function for that is 1 over 2 pi + +00:15:33.640 --> 00:15:41.599 +the frequency and the capacitance. + +00:15:41.600 --> 00:15:44.959 +Drop that on the stack. You see, it does automatically + +00:15:44.960 --> 00:15:52.079 +get simplified a little bit, but it's the same function. + +00:15:52.080 --> 00:15:58.839 +And then I press letters Z and F. Do that again. + +00:15:58.840 --> 00:16:06.239 +Z and F to start transforming that into a stored function. + +00:16:06.240 --> 00:16:11.039 +It asks me to select a user key, a single key press. + +00:16:11.040 --> 00:16:15.479 +I'll use the letter c. + +00:16:15.480 --> 00:16:19.079 +Then it's going to ask for a longer command name. + +00:16:19.080 --> 00:16:24.639 +I've actually defined this once before, so it prefilled in + +00:16:24.640 --> 00:16:38.339 +that command name. + +00:16:38.340 --> 00:16:42.999 +Then I need to enter which variables in the formula + +00:16:43.000 --> 00:16:46.559 +are actual arguments, rather than just symbols + +00:16:46.560 --> 00:16:52.559 +to be evaluated later. I prefer to put this in with frequency + +00:16:52.560 --> 00:16:54.279 +and the capacitance after that, + +00:16:54.280 --> 00:16:57.799 +but actually in this particular case, + +00:16:57.800 --> 00:17:07.339 +it doesn't matter at all to the mathematics. + +00:17:07.340 --> 00:17:11.399 +So, now all I have to do, that this is defined, + +00:17:11.400 --> 00:17:15.199 +is I can drop the frequency on the stack, + +00:17:15.200 --> 00:17:24.399 +which we'll say, for this example, will be 4.5 MHz, + +00:17:24.400 --> 00:17:32.279 +and then drop on the capacitance, which in this example + +00:17:32.280 --> 00:17:40.319 +will be 22 pF. + +00:17:40.320 --> 00:17:42.439 +Then I'll call the function that I just defined. + +00:17:42.440 --> 00:17:45.239 +I don't really like having to try to remember + +00:17:45.240 --> 00:17:48.679 +the short letters that I've come up with, + +00:17:48.680 --> 00:17:57.839 +so I'll just use the longer name. + +00:17:57.840 --> 00:17:59.799 +I need to evaluate one more time + +00:17:59.800 --> 00:18:05.619 +because the symbol pi is in there and not yet evaluated. + +00:18:05.620 --> 00:18:07.539 +And so if I've done that right, + +00:18:07.540 --> 00:18:12.159 +we have a capacitive reactance of about 1600 ohms. + +NOTE Plotting + +00:18:12.160 --> 00:18:16.839 +As the last feature that I'll mention here, + +00:18:16.840 --> 00:18:24.059 +Emacs Calc does have an interface with gnuplot, + +00:18:24.060 --> 00:18:30.799 +if you want to have Calc work as your graphing calculator. + +00:18:30.800 --> 00:18:33.159 +I do need to be honest and mention + +00:18:33.160 --> 00:18:35.579 +that I don't generally use it myself + +00:18:35.580 --> 00:18:39.719 +because there's another program in GNOME + +00:18:39.720 --> 00:18:43.499 +that I've found to be generally more convenient + +00:18:43.500 --> 00:18:47.399 +for the things that I want to graph quickly. + +00:18:47.400 --> 00:18:53.399 +But I think I can give you a simple example. + +00:18:53.400 --> 00:19:00.339 +So first, we need to drop a range on the stack. + +00:19:00.340 --> 00:19:06.619 +Let's say 0 to 10. + +00:19:06.620 --> 00:19:11.639 +And then we need to drop the function on the stack. + +00:19:11.640 --> 00:19:17.839 +And then I believe it's the letters g and f that graph this. + +00:19:17.840 --> 00:19:22.319 +Let's see. Yep, there we go. + +00:19:22.320 --> 00:19:25.059 +So there's our function and it looks nice. + +00:19:25.060 --> 00:19:26.659 +That was pretty easy. + +00:19:26.660 --> 00:19:29.019 +That's the fast way to do it. + +00:19:29.020 --> 00:19:32.839 +I will, as a disclaimer, mention that + +00:19:32.840 --> 00:19:34.159 +using this quick approach, + +00:19:34.160 --> 00:19:38.759 +that sometimes more complicated graphs + +00:19:38.760 --> 00:19:39.999 +will not turn out nicely, + +00:19:40.000 --> 00:19:44.339 +because by default, the resolution will be pretty low. + +00:19:44.340 --> 00:19:48.119 +That is to say it's... gnuplot is going to be + +00:19:48.120 --> 00:19:49.899 +skipping a lot of points + +00:19:49.900 --> 00:19:52.039 +and so you'll have to learn a bit more + +00:19:52.040 --> 00:19:55.319 +about how to use the interface, + +00:19:55.320 --> 00:19:59.519 +what parameters to pass if you want all your graphs + +00:19:59.520 --> 00:20:03.699 +to come out looking nice. + +00:20:03.700 --> 00:20:08.799 +So that covers all the features that I wanted to cover. + +NOTE Wish list + +00:20:08.800 --> 00:20:13.279 +I wanted to briefly mention a wish list of items + +00:20:13.280 --> 00:20:16.679 +that I'd like to see in Calc. + +00:20:16.680 --> 00:20:23.639 +One of them would be improper integrals. + +00:20:23.640 --> 00:20:25.159 +So that's like our definite integrals + +00:20:25.160 --> 00:20:32.859 +except for where a limit of integration is infinity. + +00:20:32.860 --> 00:20:38.559 +That's something that can be useful in a few applications. + +00:20:38.560 --> 00:20:41.079 +Something else that would be neat to have would be + +00:20:41.080 --> 00:20:45.679 +annotations for row entries. So for example + +00:20:45.680 --> 00:20:48.819 +if I was putting together a sum of numbers + +00:20:48.820 --> 00:20:53.279 +for, say, my monthly budget, + +00:20:53.280 --> 00:20:57.479 +let's say I was paying $2,000 for my rent + +00:20:57.480 --> 00:21:03.831 +and let's say $800 a month for my groceries, + +00:21:03.832 --> 00:21:07.931 +(a lot of kids to feed there) + +00:21:07.932 --> 00:21:14.565 +and then say another $60 for dining out, and so on, + +00:21:14.566 --> 00:21:18.259 +it would be nice if there was some way + +00:21:18.260 --> 00:21:21.319 +to put a little annotation next to each number + +00:21:21.320 --> 00:21:23.399 +so that you could remember + +00:21:23.400 --> 00:21:27.039 +what the meaning of that number was more easily. + +00:21:27.040 --> 00:21:31.199 +I actually looked into programming this into Calc myself, + +00:21:31.200 --> 00:21:35.919 +but discovered that it would require reprogramming + +00:21:35.920 --> 00:21:41.839 +quite a bit of Calc to make that work well + +00:21:41.840 --> 00:21:43.479 +across all calc functionality, + +00:21:43.480 --> 00:21:46.939 +and so, eventually, I gave up. + +00:21:46.940 --> 00:21:51.139 +But I'd still really like to have that feature. + +00:21:51.140 --> 00:21:52.039 +The final thing, though + +00:21:52.040 --> 00:21:54.579 +I think this would not necessarily belong in Calc, + +00:21:54.580 --> 00:21:57.919 +I think it would be cool if Emacs had some way + +00:21:57.920 --> 00:22:00.599 +to run numerical solutions + +00:22:00.600 --> 00:22:02.599 +for systems of differential equations, + +00:22:02.600 --> 00:22:06.019 +also known as a differential analyzer. + +00:22:06.020 --> 00:22:09.279 +So this would allow you to be able to set up simulation models + +00:22:09.280 --> 00:22:11.679 +involving systems of differential equations, + +00:22:11.680 --> 00:22:14.879 +for example, a spring mass system, or pressure temperature, + +00:22:14.880 --> 00:22:18.039 +or what have you, and then run the simulation + +00:22:18.040 --> 00:22:22.119 +using numerical approximation. + +00:22:22.120 --> 00:22:24.079 +Maybe it would be silly + +00:22:24.080 --> 00:22:25.999 +to actually put that in Calc itself, + +00:22:26.000 --> 00:22:30.339 +but a nice interface maybe to some other software, + +00:22:30.340 --> 00:22:33.299 +simple software that did that, + +00:22:33.300 --> 00:22:35.779 +an easy to use interface for that + +00:22:35.780 --> 00:22:38.599 +would be really great. + +NOTE Wrapping up + +00:22:38.600 --> 00:22:41.800 +So that's my entire talk. + +00:22:41.801 --> 00:22:44.534 +I'll just mention some information. + +00:22:44.535 --> 00:22:48.365 +If you want to learn more about me + +00:22:48.366 --> 00:22:50.119 +or things that I'm interested in, + +00:22:50.120 --> 00:22:57.779 +I do not any longer have a web presence. + +00:22:57.780 --> 00:22:59.659 +I don't have a website anymore, + +00:22:59.660 --> 00:23:03.359 +but I do have a Gemini capsule + +00:23:03.360 --> 00:23:07.139 +that I post to all the time. + +00:23:07.140 --> 00:23:13.879 +And if you can install, if you're willing to install the... + +00:23:13.880 --> 00:23:19.079 +Gemini browser known as Elpher + +00:23:19.080 --> 00:23:23.698 +into Emacs, which is available from ELPA, + +00:23:23.699 --> 00:23:27.359 +then you can browse directly to it + +00:23:27.360 --> 00:23:31.439 +and look around my Gemini capsule. + +00:23:31.440 --> 00:23:35.920 +Thank you very much. |
