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;
Maxima
(%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 […]
This is a sorted US state 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. So, for […]
State Number of days to double cases england 9.170667077048846 northern_ireland 9.440172590839559 scotland 11.09717971461147 uk 8.984112697842296 wales 5.958681781105541 All warranties explicit or implied as to the accuracy of this data are nil. Explanation of term doubling number. The number of days for the number of cases to double. So for example, […]
state doubling in days Guam 2.4507118742 Rhode_Island 3.9468661952 Texas 4.9776569339 New_Mexico 5.1506057772 South_Dakota 5.3592656446 Alabama 5.4241476357 Mississippi 5.715764637 Massachusetts 5.7239838454 Pennsylvania 6.102194282 Maryland 6.1541184725 Connecticut 6.3795498182 Iowa 6.6594433606 Virginia 6.6741950606 Arizona 6.780725208 Oklahoma 6.9115105295 Nebraska 6.968235808 Puerto_Rico 7.1299124744 Idaho 7.365068418 Colorado 7.4730554834 Kentucky 7.621385874 South_Carolina 7.6768325486 Illinois 8.0810284491 West_Virginia 8.4688522893 […]
On March 6, I predicted that the worldwide total number of confirmed cases would reach 1 million by March 28. The prediction used a doubling number of four days. Today is April 2 and the total number of confirmed cases reached 1 million. So my prediction was off by five […]