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Noma iyiphi engaziwa kufomula ingashiywa ingenalutho ukuze ibalwe; efomini enamaguquguquki angu-n, faka noma yikuphi (n-1) okwaziwayo, ukuze ubale u-nth ongaziwa; Izibalo ziqondile, ngaphandle uma ukuguquguquka okungaziwa kungenakuhlukaniswa ukuze kubalwe ngokuqondile, bese kuxazululwa izinombolo. Uma okunye okungaziwa kuncike kwezinye, faka inani lesikhashana, bese ususa elingaziwa, bese ubala kabusha ukuze uthole inani eliqondile; amafomula ambalwa kuphela analokhu kuncikelana, okuphawulwe ezincazelweni zawo
Amafomula angaphezu kuka-600 kuzo zonke iziyalo ezihlukahlukene, Ezogesi, Ezomshini, I-Quantum Physics, njll.
Kukhona ithuluzi lezibalo lokuhlola ifomula yangokwezifiso, thayipha ifomula enamapharamitha, ukuze ubale. Faka isisho sezibalo ukuze sihlolwe, isb: sin(x) + ln(t) njll..izimpikiswano azikhethele ezinamavelu abelwe. Uma i-agumenti isetshenziswa futhi lingekho inani elinikeziwe, i-agumenti izosethwa ukuze ibe uziro. Uma kusetshenziswa i-agumenti eyodwa engenalutho enkulumweni, futhi inani lifakwa ukuze libe Umphumela, khona-ke kufunwa isixazululo sesixazululi sezinombolo se-agumenti eyodwa engekho, isb. t + x = 25 , ngo-t=20, bese u-x etholakala njengo-5. Ama-engeli angama-radians. Ama-opharetha e-arithmetic avamile: +,-,*,/,^,(,) kanye nale misebenzi, izinhlamvu ezincane: sqrt(n), sin(n), cos(n), tan(n), ln(n), lg(n), log(base,value), asin(n), acos(n), atan(n), atan2(x,y gamax1), iqiniso le-0(n),=0(n)=0(n)=0 exp(n), pow(isisekelo,i-eksponenti), isamba(), abs(), floor(), isiyili(), min(), max(), round(), uma(t>x,t,x), = noma != njengokuthi: if(x!=2,3,4), constants pi, e.
Ungasebenzisa futhi imisebenzi yokubala emibili, ukuhlanganisa nokuphuma kokunye, okuhlanganisa amapharamitha: int(umsebenzi, i-variable, start_limit, end_limit), isb: int(u^2, u, 0, 3), (Umphumela: 9), kanye ne-der(umsebenzi, i-variable, point), isb: der(u^3 (result, 2), 2). Ngakho-ke isibonelo sefomula sisonke: 50 + int(u^2, u, 0, 3) * der(u^3, u, 2), (Umphumela: 158), noma ukuthola i-t engaziwa ku-: sin(x) + ln(t) + 50 + int(u^2, u, 0, 3) * der, setha njengomphumela:3(u) 158.83426733161352 , izothola okuhlosiwe okungu-t=2.0 ; sebenzisa u-u njengokuguquguquka komsebenzi kuma-Integral noma ama-Derivative function, ungasebenzisi izimpikiswano t,x,y,z njengokuguquguquka komsebenzi, zisebenzise njengemingcele ye-start_limit, end_limit noma iphuzu kokuphuma kokunye, isb: int(u),u,0,x) + 50 inikeza 51.989992547 njll. der() kufomula, zibeke ekugcineni kwenkulumo ,isb. sin(x) + int(u^2, u, 0, 3), HHAYI int(u^2, u, 0, 3) + sin(x), izonikeza iphutha ngenxa yesiphazamisi selabhulali.
Ukusebenza kwezinombolo eziyinkimbinkimbi: ukuphindaphinda/ukuhlukanisa/ukwengeza/okuhambisanayo kufomu le-cartesian/polar.
Ukulinganisa kwekhebula lethusi lokuhlala ngaphakathi kokwehla kwamandla kagesi okwamukelekayo, ngomthwalo othile.
I-Polynomial Root Finder: "Ukuthola zonke izimpande (zangempela neziyinkimbinkimbi) ze-polynomial, sebenzisa umyalo okhethekile we-poly_roots(). Ungahlanganisi umyalo nezinye izinkulumo, sebenzisa wona ngokwawo, ne-Syntax kanje:
poly_roots(c_n, c_n-1, c_n-2, ..., c_1, c_0). Faka ama-coefficients we-polynomial kusukela emandleni aphakeme wehle ukuya kuthemu engaguquki. Isibonelo: Ukuze uxazulule isibalo 2u³ - 4u + 5 = 0, ungafaka: i-poly_roots(2, 0, -4, 5) (Qaphela: I-coefficient yetemu elingu-u² elishodayo ngu-0.). Ama-agumenti t, x, y, kanye no-z angasetshenziswa ngaphakathi kwama-coefficients (isb., i-poly_roots(t, x, 5)), kodwa akumele kube inguquko oyixazululayo. Isixazululi sithola izimpande ze-polynomial ngokwayo, izimpande eziyinkimbinkimbi zisebenzisa i-a+bi notation.
Izibalo Imisebenzi. Ungawuhlanganisi umyalo nezinye izinkulumo, sebenzisa wona ngokwawo Ungenza izibalo zezibalo ezivamile ohlwini lwezinombolo. Izinombolo zingaba amanani aqondile noma izinkulumo kusetshenziswa u-t, x, y, z. Imiyalo Etholakalayo: Mean, stdev, median, sum, min, max, count
Izibalo zingagcinwa kusizindalwazi ukuze zibuyekezwe kamuva kanye/noma ukwabelana.
Isicelo siziqukethwe ngokwaso, akukho ukufinyelela kwe-inthanethi noma izimvume ezidingekayo.
Noma iyiphi engaziwa kufomula ingashiywa ingenalutho ukuze ibalwe; efomini enamaguquguquki angu-n, faka noma yikuphi (n-1) okwaziwayo, ukuze ubale u-nth ongaziwa; Izibalo ziqondile, ngaphandle uma ukuguquguquka okungaziwa kungenakuhlukaniswa ukuze kubalwe ngokuqondile, bese kuxazululwa izinombolo. Uma okunye okungaziwa kuncike kwezinye, faka inani lesikhashana, bese ususa elingaziwa, bese ubala kabusha ukuze uthole inani eliqondile; amafomula ambalwa kuphela analokhu kuncikelana, okuphawulwe ezincazelweni zawo
Amafomula angaphezu kuka-600 kuzo zonke iziyalo ezihlukahlukene, Ezogesi, Ezomshini, I-Quantum Physics, njll.
Kukhona ithuluzi lezibalo lokuhlola ifomula yangokwezifiso, thayipha ifomula enamapharamitha, ukuze ubale. Faka isisho sezibalo ukuze sihlolwe, isb: sin(x) + ln(t) njll..izimpikiswano azikhethele ezinamavelu abelwe. Uma i-agumenti isetshenziswa futhi lingekho inani elinikeziwe, i-agumenti izosethwa ukuze ibe uziro. Uma kusetshenziswa i-agumenti eyodwa engenalutho enkulumweni, futhi inani lifakwa ukuze libe Umphumela, khona-ke kufunwa isixazululo sesixazululi sezinombolo se-agumenti eyodwa engekho, isb. t + x = 25 , ngo-t=20, bese u-x etholakala njengo-5. Ama-engeli angama-radians. Ama-opharetha e-arithmetic avamile: +,-,*,/,^,(,) kanye nale misebenzi, izinhlamvu ezincane: sqrt(n), sin(n), cos(n), tan(n), ln(n), lg(n), log(base,value), asin(n), acos(n), atan(n), atan2(x,y gamax1), iqiniso le-0(n),=0(n)=0(n)=0 exp(n), pow(isisekelo,i-eksponenti), isamba(), abs(), floor(), isiyili(), min(), max(), round(), uma(t>x,t,x), = noma != njengokuthi: if(x!=2,3,4), constants pi, e.
Ungasebenzisa futhi imisebenzi yokubala emibili, ukuhlanganisa nokuphuma kokunye, okuhlanganisa amapharamitha: int(umsebenzi, i-variable, start_limit, end_limit), isb: int(u^2, u, 0, 3), (Umphumela: 9), kanye ne-der(umsebenzi, i-variable, point), isb: der(u^3 (result, 2), 2). Ngakho-ke isibonelo sefomula sisonke: 50 + int(u^2, u, 0, 3) * der(u^3, u, 2), (Umphumela: 158), noma ukuthola i-t engaziwa ku-: sin(x) + ln(t) + 50 + int(u^2, u, 0, 3) * der, setha njengomphumela:3(u) 158.83426733161352 , izothola okuhlosiwe okungu-t=2.0 ; sebenzisa u-u njengokuguquguquka komsebenzi kuma-Integral noma ama-Derivative function, ungasebenzisi izimpikiswano t,x,y,z njengokuguquguquka komsebenzi, zisebenzise njengemingcele ye-start_limit, end_limit noma iphuzu kokuphuma kokunye, isb: int(u),u,0,x) + 50 inikeza 51.989992547 njll. der() kufomula, zibeke ekugcineni kwenkulumo ,isb. sin(x) + int(u^2, u, 0, 3), HHAYI int(u^2, u, 0, 3) + sin(x), izonikeza iphutha ngenxa yesiphazamisi selabhulali.
Ukusebenza kwezinombolo eziyinkimbinkimbi: ukuphindaphinda/ukuhlukanisa/ukwengeza/okuhambisanayo kufomu le-cartesian/polar.
Ukulinganisa kwekhebula lethusi lokuhlala ngaphakathi kokwehla kwamandla kagesi okwamukelekayo, ngomthwalo othile.
I-Polynomial Root Finder: "Ukuthola zonke izimpande (zangempela neziyinkimbinkimbi) ze-polynomial, sebenzisa umyalo okhethekile we-poly_roots(). Ungahlanganisi umyalo nezinye izinkulumo, sebenzisa wona ngokwawo, ne-Syntax kanje:
poly_roots(c_n, c_n-1, c_n-2, ..., c_1, c_0). Faka ama-coefficients we-polynomial kusukela emandleni aphakeme wehle ukuya kuthemu engaguquki. Isibonelo: Ukuze uxazulule isibalo 2u³ - 4u + 5 = 0, ungafaka: i-poly_roots(2, 0, -4, 5) (Qaphela: I-coefficient yetemu elingu-u² elishodayo ngu-0.). Ama-agumenti t, x, y, kanye no-z angasetshenziswa ngaphakathi kwama-coefficients (isb., i-poly_roots(t, x, 5)), kodwa akumele kube inguquko oyixazululayo. Isixazululi sithola izimpande ze-polynomial ngokwayo, izimpande eziyinkimbinkimbi zisebenzisa i-a+bi notation.
Izibalo Imisebenzi. Ungawuhlanganisi umyalo nezinye izinkulumo, sebenzisa wona ngokwawo Ungenza izibalo zezibalo ezivamile ohlwini lwezinombolo. Izinombolo zingaba amanani aqondile noma izinkulumo kusetshenziswa u-t, x, y, z. Imiyalo Etholakalayo: Mean, stdev, median, sum, min, max, count
Izibalo zingagcinwa kusizindalwazi ukuze zibuyekezwe kamuva kanye/noma ukwabelana.
Isicelo siziqukethwe ngokwaso, akukho ukufinyelela kwe-inthanethi noma izimvume ezidingekayo.
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