The conjunction of two broods of cicadas is going on now. It is called a super-brood. One brood has a 13 year cycle, and the other brood has a 17 year cycle. Using maxima, one can calculate the number of years for this conjunction with the least common multiple function. […]
Maxima
34 posts
Maxima 5.41.0 http://maxima.sourceforge.net using Lisp GNU Common Lisp (GCL) GCL 2.6.12 Distributed under the GNU Public License. See the file COPYING. Dedicated to the memory of William Schelter. The function bug_report() provides bug reporting information. (%i1) is(1200>70*7); (%o1) true
Maxima 5.41.0 http://maxima.sourceforge.net using Lisp GNU Common Lisp (GCL) GCL 2.6.12 Distributed under the GNU Public License. See the file COPYING. Dedicated to the memory of William Schelter. The function bug_report() provides bug reporting information. (%i1) 1+3+5+7+9; (%o1) 25 (%i2) 1+3+5+7+9+9+7+5+3+1; (%o2) 50
We, in Midwest America, in Missouri, in Saint Louis are in the midst of a heat wave. This week in July has had a sequence of very hot days — the mornings are hot and humid, the afternoons are like ovens, and the temperature doesn’t let up at night. I […]
A:1$ B:2$ C:3$ D:4$ E:5$ F:6$ G:7$ H:8$ I:9$ J:10$ K:11$ L:12$ M:13$ N:14$ O:15$ P:16$ Q:17$ R:18$ S:19$ T:20$ U:21$ V:22$ W:23$ X:24$ Y:25$ Z:26$ 10*D*J + 10*T + R+U+M+P -2; 10*D*J + 10*T + R+U+M+F+H;
(%i2) log2(x):=log(x)/log(2) log(x) (%o2) log2(x) := ------ log(2) (%i3) midi_number(freq):=69+12*log2(freq/440) freq (%o3) midi_number(freq) := 69 + 12 log2(----) 440 (%i4) midi2freq(m):=440*2^((m-69)/12) m - 69 ------ 12 (%o4) midi2freq(m) := 440 2 Middle C has MIDI number 60. (%i6) midi2freq(60),numer; (%o6) 261.6255653005986 Frequency 440 Hz corresponds with MIDI number 69 (%i8) […]
(%i4) bfloat(exp(1)),numer; (%o4) 2.718281828459045090795598298427648842334747314453125b0 (%i5) fpprec:10000; (%o5) 10000 (%i6) bfloat(%e),numer; (%o6) 2.7182818284590452353602874713526624977572470936999595749669676277240766\ 303535475945713821785251664274274663919320030599218174135966290435729003342952\ 605956307381323286279434907632338298807531952510190115738341879307021540891499\ 348841675092447614606680822648001684774118537423454424371075390777449920695517\ 027618386062613313845830007520449338265602976067371132007093287091274437470472\ 306969772093101416928368190255151086574637721112523897844250569536967707854499\ 699679468644549059879316368892300987931277361782154249992295763514822082698951\ 936680331825288693984964651058209392398294887933203625094431173012381970684161\ 403970198376793206832823764648042953118023287825098194558153017567173613320698\ 112509961818815930416903515988885193458072738667385894228792284998920868058257\ 492796104841984443634632449684875602336248270419786232090021609902353043699418\ 491463140934317381436405462531520961836908887070167683964243781405927145635490\ 613031072085103837505101157477041718986106873969655212671546889570350354021234\ 078498193343210681701210056278802351930332247450158539047304199577770935036604\ 169973297250886876966403555707162268447162560798826517871341951246652010305921\ 236677194325278675398558944896970964097545918569563802363701621120477427228364\ 896134225164450781824423529486363721417402388934412479635743702637552944483379\ 980161254922785092577825620926226483262779333865664816277251640191059004916449\ 982893150566047258027786318641551956532442586982946959308019152987211725563475\ 463964479101459040905862984967912874068705048958586717479854667757573205681288\ 459205413340539220001137863009455606881667400169842055804033637953764520304024\ 322566135278369511778838638744396625322498506549958862342818997077332761717839\ 280349465014345588970719425863987727547109629537415211151368350627526023264847\ 287039207643100595841166120545297030236472549296669381151373227536450988890313\ 602057248176585118063036442812314965507047510254465011727211555194866850800368\ 532281831521960037356252794495158284188294787610852639813955990067376482922443\ 752871846245780361929819713991475644882626039033814418232625150974827987779964\ 373089970388867782271383605772978824125611907176639465070633045279546618550966\ 661856647097113444740160704626215680717481877844371436988218559670959102596862\ 002353718588748569652200050311734392073211390803293634479727355955277349071783\ 793421637012050054513263835440001863239914907054797780566978533580489669062951\ 194324730995876552368128590413832411607226029983305353708761389396391779574540\ 161372236187893652605381558415871869255386061647798340254351284396129460352913\ 325942794904337299085731580290958631382683291477116396337092400316894586360606\ 458459251269946557248391865642097526850823075442545993769170419777800853627309\ 417101634349076964237222943523661255725088147792231519747780605696725380171807\ 763603462459278778465850656050780844211529697521890874019660906651803516501792\ 504619501366585436632712549639908549144200014574760819302212066024330096412704\ 894390397177195180699086998606636583232278709376502260149291011517177635944602\ […]
You can display PI fairly simply in Maxima, (%i3) %pi,numer; (%o3) 3.141592653589793 To get more precision, you have to do some work, (%i4) fpprec:1000; (%o4) 1000 (%i5) bfloat(4*atan(1)); (%o5) 3.1415926535897932384626433832795028841971693993751058209749445923078164\ 062862089986280348253421170679821480865132823066470938446095505822317253594081\ 284811174502841027019385211055596446229489549303819644288109756659334461284756\ 482337867831652712019091456485669234603486104543266482133936072602491412737245\ 870066063155881748815209209628292540917153643678925903600113305305488204665213\ 841469519415116094330572703657595919530921861173819326117931051185480744623799\ 627495673518857527248912279381830119491298336733624406566430860213949463952247\ 371907021798609437027705392171762931767523846748184676694051320005681271452635\ 608277857713427577896091736371787214684409012249534301465495853710507922796892\ 589235420199561121290219608640344181598136297747713099605187072113499999983729\ 780499510597317328160963185950244594553469083026425223082533446850352619311881\ 710100031378387528865875332083814206171776691473035982534904287554687311595628\ 63882353787593751957781857780532171226806613001927876611195909216420199b0 To save this expression outside of Maxima, use […]
Today, April 24, 2020 I calculate a 16.1 doubling number for the State of Georgia. Given a total case count of 20,905 yields a 90 day estimate until there are a million cases of covid19. That would be July 23, 2020. If the spread of covid19 has not checked, then […]
On March 21, 2020 I predicted 1 million cases by April 17 in New York State using a doubling number of 4 days. Doubling – flattening the curve – part 4 Thankfully, through the use of social distancing, sheltering in place, we were able to flatten the curve. I would […]
This is a sorted US county list of doubling numbers for positive confirmed cases of COVID19 averaged over the last four days. Just computing, log(2)/(log(X_n)-log(X_n-1)) which is the doubling number. The doubling number is the number of days predicted for the positive confirmed cases to double in number. For more […]
These graphs show the totals of confirmed COVID19 cases and reported deaths for each US County. I am not graphing the logarithm but just the simple numbers. The reason is that the numbers are not large enough to justify using logarithms at this time. If you have looked at my […]