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是否有什么數(shù)學(xué)理論或算法,可以快速的計(jì)算? 已有2人參與
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求解未知數(shù)為x、y、z的方程組 0.08*x+y*cosθ+z*sinθ+9=0 x*sinθ+9y+11z+ sinθ*cosθ=0 x+y+z+ sinθ+cosθ=0 其中,θ為0°~180°遞增變化,增量為1° 所以,要解得方程組需要θ從0°~85°求解86次,例如: θ=0°,求解方程組為: 0.08*x+y*cos0°+z*sin0°+9=0 x*sin0°+9y+11z+ sin0°*cos0°=0 x+y+z+ sin0°+cos0°=0 θ=1°,求解方程組為: 0.08*x+y*cos1°+z*sin1°+9=0 x*sin1°+9y+11z+ sin1°*cos1°=0 x+y+z+ sin1°+cos1°=0 … … … … … … θ=85°,求解方程組為: 0.08*x+y*cos85°+z*sin85°+9=0 x*sin85°+9y+11z+ sin85°*cos85°=0 x+y+z+ sin85°+cos85°=0 當(dāng)然,可以把xyz轉(zhuǎn)化成θ正弦或余弦形式,再輸入角度逐步計(jì)算,一個(gè)一個(gè)算有些慢。 是否有什么數(shù)學(xué)理論或算法,可以快速的計(jì)算? |
鐵桿木蟲 (職業(yè)作家)
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1stOpt簡(jiǎn)單計(jì)算: theta x y z 0 0.645756457564576 -9.05166051660517 7.40590405904059 0.0872664625997165 0.71037216026961 -9.79110575505505 7.99738315394604 0.174532925199433 0.825020512621931 -10.7519837480471 8.76850730474607 0.261799387799149 1.00801260892226 -12.0247197112798 9.79196223096601 0.349065850398866 1.28935718793906 -13.7596947687484 11.1886248166978 0.436332312998582 1.72222811928342 -16.2259142865082 13.1747601184474 0.523598775598299 2.41123747008767 -19.9556300878287 16.1783672139565 0.610865238198015 3.59549763938107 -26.1691741434672 21.1809480234461 0.698131700797732 5.9693477798795 -38.4152757461067 31.0370959134216 0.785398163397448 12.7569980743364 -73.1813840789283 59.0101724422188 0.872664625997165 159.833335811265 -825.366001952394 664.123834088334 0.959931088596881 -18.9507890475243 89.0424674784764 -71.4844069115919 1.0471975511966 -9.81427815114594 42.432189362085 -33.9839366147235 1.13446401379631 -6.95955671746207 28.0062295648661 -22.3755988961814 1.22173047639603 -5.54936871340122 21.025454208513 -16.7577982592233 1.30899693899575 -4.69322211609534 16.9349726206468 -13.466495375943 1.39626340159546 -4.10436230416844 14.2669861808645 -11.3210798073752 1.48352986419518 -3.66255620025854 12.4047341871417 -9.82552842772254 1.5707963267949 -3.30882352941173 11.0441176470587 -8.73529411764694 1.65806278939461 -3.01111288399753 10.0181672179802 -7.91609328932672 1.74532925199433 -2.75077199271071 9.22787246708329 -7.28826004971786 1.83259571459405 -2.51646018440611 8.61108677623462 -6.80173337301505 1.91986217719376 -2.30112541593945 8.12711897278339 -6.42366603430418 2.00712863979348 -2.10038290301783 7.74850577630873 -6.13181239858686 2.09439510239319 -1.91158984442929 7.45635538915446 -5.91079094850962 2.18166156499291 -1.73329009557633 7.23759246424602 -5.74987797660764 2.26892802759263 -1.56486746556257 7.08327752535674 -5.6416668932266 2.35619449019234 -1.4063235641511 6.98756913845417 -5.58124557430307 2.44346095279206 -1.25813481308171 6.94709538299263 -5.56570373647849 2.53072741539178 -1.12116391463851 6.96060761761216 -5.5938680950357 2.61799387799149 -0.99661304291121 7.02885184515212 -5.66621339845648 2.70526034059121 -0.886013881901974 7.15463480548504 -5.78493139828712 2.79252680319093 -0.791255986552627 7.34309690668514 -5.95416844267227 2.87979326579064 -0.714661726291981 7.60224275834677 -6.18047425086825 2.96705972839036 -0.659125438959473 7.94383457718012 -6.47354956287536 3.05432619099007 -0.628349778141637 8.38484384394508 -6.84745511045936 3.14159265358979 -0.627240143369169 8.94982078853038 -7.32258064516122 |
金蟲 (正式寫手)
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