2025統(tǒng)計分布數(shù)值表第2部分χ2分布

第2部分 2分前 引 范 本文件按照GB/T1.1-20201部分：標準化文件的結(jié)構(gòu)和起草規(guī)則》的規(guī)定起本文件是GB/T40862部分。GB/T4086本文件代替GB/T4086.2-1983

a）2分布分位數(shù)表關(guān)于vv1(1)50(2)100(5)200(10)250（1章

(2/

e2/2d202(v/vv“P(2；v)

v2(vv

(x/

ex/2dx（4章，19831章

2(v/

(2/

e2/2d2pv2v“2(v)滿足

2(v/

(x/

ex/2dxp（5章，19832章松分布和非中心t分布等是人們最關(guān)心的分布。4086.14086.24086.34086.44086.54086.64086.722122v262v0.0000.0010.00250.0050.010.020.0250.050.10.150.20.250.30.40.50.60.650.70.750.80.850.90.950.9750.980.990.9950.99750.9990.999551：表距如v1(1)30(2)70表示v1~701~301，30~70范圍內(nèi)的取值間隔2。5~6GB/T3358.11部分：一般統(tǒng)計術(shù)語與用于概率的術(shù)語（GB/T3358.1-2009，ISO3534-1：2006，IDT）GB/T4086.112分布2卡方分布chi-squared

1x2ex/f(x)2/2(/2x0，參數(shù)(axa1exdx

2f(x[來源：GB/T3358.1-2009,2.57,有修改

2(/2

(x/2)2

x/2[X的]分布函數(shù)distributionfunction[ofarandomvariableXFX的取值落在(x2F(2；v

(x/2)

ex/2dx02(/[來源：GB/T3358.1-2009,2.7,有修改p分位數(shù)p-quantile，p-Xp，對0p1，使分布函數(shù)F(xpxv2v注：2分布的p分位數(shù)2(v)滿

2(v/

(x/

ex/2dxp[來源：GB/T3358.1-2009,2.13,有修改442F(2；v) v(xv

ex02(v/本表對于自由度為v2F(2；v2點處的數(shù)值。例：對于v720.55F(2；v)0.000758。F(2；v) v(xv

ex02(v/本表對于自由度為v2F(2；v2點處的數(shù)值。例：對于v1122.40F(2；v)0.003476。42v42v1ex2(v/F(2；v)(x/本表對于自由度為v2F(2；v2點處的數(shù)值。例：對于v527.4F(2；v)0.807450。本表對于自由度為v2F(2；v2點處的數(shù)值。例：對于v20210F(2；v)0.031828。本表對于自由度為v2F(2；v2點處的數(shù)值。例：對于v24217.0F(2；v)0.151338。本表對于自由度為v2F(2；v2點處的數(shù)值。例：對于v38215.5F(2；v)0.000448。v2F(2；v2點處的數(shù)值。例：對于v6235F(2；v)0.999996。 0.8588690.8087640.7508700.6866260.6179480.5470390.4761650.4074530.342722 0.8921240.8504030.8006960.7438220.6811360.6144030.5456340.4768950.410132 0.9184190.8843090.8424810.7932190.7373340.6761030.6111590.5443470.477562 0.9389060.9114720.8768960.8350510.7862660.7313370.6714680.6081770.543164 0.9546590.9329140.9047900.8698590.8280670.7797790.7257710.6671800.605422 0.9666290.9496200.9270710.8983670.8631710.8214890.7737100.7205870.663199 0.9756270.9624800.9446380.9213860.8921960.8568080.8152810.7680150.715744 0.9823250.9722740.9583240.9397300.9158600.8862650.8507490.8094100.762658 0.9872670.9796590.9688700.9541780.9349070.9104960.8805650.8449720.803848 0.9908830.9851770.9769160.9654330.9500570.9301750.9052900.8750840.839458 0.9935100.9892660.9829990.9741130.9619770.9459720.9255390.9002420.869811 0.9954050.9922730.9875590.9807460.9712640.9585170.9419320.9210050.895347 0.9967630.9944680.9909500.9857720.9784310.9683800.9550620.9379450.916571 0.9977300.9960600.9934540.9895500.9839150.9760640.9654740.9516210.934015 0.9984150.9972080.9952900.9923680.9880790.9819980.9736550.9625540.948202 0.9988980.9980300.9966280.9944560.9912150.9865440.9800280.9712130.959627 0.9992370.9986160.9975980.9959940.9935620.9900000.9849520.9780130.968745 0.9994740.9990320.9982960.9971190.9953060.9926100.9887280.9833100.975960 0.9996380.9993250.9987960.9979380.9965950.9945670.9916040.9874040.981622 0.9997520.9995320.9991530.9985300.9975410.9960260.9937790.9905480.986033 0.9998310.9996760.9994070.9989570.9982320.9971070.9954130.9929440.989444 0.9998850.9997770.9995860.9992620.9987340.9979030.9966350.9947590.992065 0.9999220.9998460.9997120.9994800.9990980.9984870.9975420.9961270.994065 0.9999470.9998950.9998000.9996350.9993590.9989120.9982130.9971500.995583 0.9999640.9999280.9998620.9997450.9995470.9992210.9987060.9979130.996728 0.9999760.9999510.9999050.9998220.9996800.9994450.9990670.9984780.997587 0.9999840.9999670.9999350.9998760.9997750.9996050.9993290.9988940.998228 0.9999890.9999770.9999550.9999140.9998430.9997210.9995200.9992000.998704 0.9999930.9999850.9999690.9999410.9998900.9998030.9996570.9994230.999056 0.9999950.9999900.9999790.9999590.9999230.9998610.9997560.9995860.999315 0.9999970.9999930.9999860.9999720.9999470.9999030.9998270.9997030.999504 0.9999980.9999950.9999900.9999810.9999630.9999320.9998780.9997880.999643 0.9999990.9999970.9999930.9999870.9999750.9999530.9999140.9998490.999743 0.9999990.9999980.9999960.9999910.9999820.9999670.9999400.9998930.999816 0.9999990.9999990.9999970.9999940.9999880.9999770.9999580.9999250.999869 1.0000000.9999990.9999980.9999960.9999920.9999840.9999700.9999470.999907 1.0000000.9999990.9999990.9999970.9999940.9999890.9999790.9999630.999934 1.0000001.0000000.9999990.9999980.9999960.9999920.9999860.9999740.999953 1.0000001.0000000.9999990.9999990.9999970.9999950.9999900.9999820.999967 1.0000001.0000001.0000000.9999990.9999980.9999960.9999930.9999870.999977 1.0000001.0000001.0000000.9999990.9999990.9999980.9999950.9999910.999984 1.0000001.0000001.0000001.0000000.9999990.9999980.9999970.9999940.999989 1.0000001.0000001.0000001.0000000.9999990.9999990.9999980.9999960.999992 1.0000001.0000001.0000001.0000001.0000000.9999990.9999980.9999970.999994 1.0000001.0000001.0000001.0000001.0000000.9999990.9999990.9999980.999996 1.0000001.0000001.0000001.0000001.0000001.0000000.9999990.9999990.999997 1.0000001.0000001.0000001.0000001.0000001.0000001.0000000.9999990.999998 1.0000001.0000001.0000001.0000001.0000001.0000001.0000000.9999990.999999 1.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000000.999999 1.0000001.0000001.0000001.0000001.0000001.0000001.0000001.0000000.999999v2F(2；v2點處的數(shù)值。例：對于v14219F(2；v)0.835051。42v142v1ex2(v/F(2；v)(x/v2F(2；v2點處的數(shù)值。例：對于v29250F(2；v)0.990968。v2F(2；v2點處的數(shù)值。例：對于v50238F(2；v)0.106746。442F(2；v) v(xv

ex02(v/v2F(2；v2點處的數(shù)值。例：對于v62252F(2；v)0.186553。F(2；v) v(xv

ex02(v/v2F(2；v2點處的數(shù)值。例：對于v40276F(2；v)0.999487。442F(2；v) v(xv

ex02(v/v2F(2；v2點處的數(shù)值。例：對于v56295F(2；v)0.999115。552v2 v2(v)滿足

(x/

ex/2dxv2p2(vp2(v 例：對于v27p0.052(v)16.15140v2v2(v)滿足

2(v/

(x/

ex/2dx 24.8138826.0650827.9092029.4811631.2456733.2562133.9681336.4370939.4333826.1789227.4677029.3653330.9812532.7934534.8563535.5863438.1162241.1830427.5554228.8811630.8313732.4904934.3495236.4638537.2115939.8012842.9373428.9427830.3048832.3068034.0083835.9134638.0783338.8435141.4919544.6960330.3404831.7383433.7911435.5344937.4848539.6994240.4817543.1879646.4588931.7479933.1810735.2839637.0684239.0633341.3268042.1259944.8890248.2257133.1648534.6326436.7848438.6097840.6485642.9601643.7759546.5949149.9962934.5906436.0926238.2934240.1582442.2402344.5992245.4313648.3053851.7704636.0249637.5606539.8093641.7134743.8380346.2437347.0919850.0202353.5480637.4674439.0363841.3323243.2751845.4417247.8934448.7575651.7392855.3289438.9177440.5194842.8620244.8431047.0510349.5481450.4279153.4623357.1129540.3755442.0096544.3981846.4169648.6657351.2076252.1028355.1892358.8999641.8405443.5066245.9405447.9965350.2856052.8716853.7821256.9198260.6898643.3124645.0101147.4888549.5815951.9104554.5401455.4656258.6539462.4825244.7910546.5198849.0429051.1719353.5400856.2128457.1531760.3914864.2778446.2760548.0356950.6024652.7673555.1743157.8896258.8446262.1322966.0757347.7672349.5573352.1673454.3676756.8129859.5703360.5398163.8762667.8760849.2643851.0846053.7373555.9727058.4559361.2548262.2386365.6232869.6788250.7673052.6173055.3123257.5823060.1030162.9429763.9409367.3732371.4838452.2757854.1552456.8920759.1963061.7540864.6346665.6466269.1260373.2910953.7896555.6982658.4764560.8145763.4090166.3297667.3555670.8815775.1004855.3087357.2461960.0653162.4369565.0676768.0281769.0676672.6397776.9119556.8328658.7988861.6585164.0633366.7299469.7297770.7828274.4005478.7254258.3618960.3561763.2559165.6935768.3957271.4344772.5009476.1637980.5408359.8956661.9179464.8573867.3275670.0648973.1421874.2219377.9294782.3581463.7499465.8410568.8781171.4282374.2520377.4240278.5364082.3537486.9092767.6310269.7893972.9218375.5500478.4583181.7228182.8670586.7916391.4710471.5370873.7612676.9870079.6915882.6824486.0373987.2127991.2422096.0427075.4665377.7551481.0722283.8515786.9232890.3667491.5726495.70464100.6236379.4179481.7696985.1762788.0288791.1797894.7099695.94573100.17820105.2132483.3900085.8036889.2980392.2224695.4510299.06620100.33126104.66223109.8110287.3815489.8560093.4364996.4313999.73615103.43474104.72852109.15612114.4165091.3915093.9256597.59073100.65484104.03441107.81489109.13687113.65934119.0292595.4189098.01171101.75992104.89203108.34510112.20603113.55571118.17137123.6488999.46285102.11335105.94328109.14225112.66758116.60759117.98452122.69178128.27505103.52254106.22979110.14012113.40486117.00127121.01907122.42278127.22013132.90742107.59721110.36033114.34980117.67926121.34563125.43998126.87005131.75606137.54569111.68618114.50431118.57171121.96491125.70016129.86988131.32591136.29920142.18960115.78879118.66112122.80531126.26130130.06440134.30837135.78996140.84923146.83887119.90445122.83022127.05008130.56796134.43794138.75507140.26186145.40585151.49329124.03261127.01107131.30555134.88445138.82036143.20963144.74126149.96877156.15263128.17276131.20319135.57128139.21036143.21131147.67172149.22785154.53774160.81668132.32441135.40613139.84685143.54533147.61043152.14105153.72135159.11251165.48525136.48711139.61946144.13188147.88898152.01742156.61732158.22148163.69285170.15817140.66045143.84279148.42601152.24099156.43197161.10028162.72798168.27855174.83527149.03747152.31799157.04023160.96887165.28262170.08525171.75919177.46524184.20140157.45257160.82901165.68704169.72668174.16035179.09414180.81324186.67112193.58249165.90321169.37343174.36423178.51241183.06332188.12534189.88859195.89488202.97752174.38709177.94911183.06986187.32426191.98990197.17740198.98385205.13538212.38561182.90216186.55410191.80216196.16060200.93862206.24904208.09780214.39157221.80593v2p2(vp2(v 例：對于v125p0.052(v)100.1782052v152v1(x/ ex/2dx2(v)滿足2(v/vv2p2(vp2(v例：對于v15p0.52(v)14.33886 0.06418 0.10153 0.14847 0.27500 0.45494 0.70833 0.87346 1.07419 1.32330 1.642370.44629 0.57536 0.71335 1.02165 1.38629 1.83258 2.09964 2.40795 2.77259 3.218881.00517 1.21253 1.42365 1.86917 2.36597 2.94617 3.28311 3.66487 4.10834 4.641631.64878 1.92256 2.19470 2.75284 3.35669 4.04463 4.43769 4.87843 5.38527 5.988622.34253 2.67460 2.99991 3.65550 4.35146 5.13187 5.57307 6.06443 6.62568 7.289283.07009 3.45460 3.82755 4.57015 5.34812 6.21076 6.69476 7.23114 7.84080 8.558063.82232 4.25485 4.67133 5.49323 6.34581 7.28321 7.80612 8.38343 9.03715 9.803254.59357 5.07064 5.52742 6.42265 7.34412 8.35053 8.90936 9.5244610.2188511.030095.38005 5.89883 6.39331 7.35703 8.34283 9.4136410.0060010.6563711.3887512.24215106.17908 6.73720 7.26722 8.29547 9.3418210.4732411.0971411.7807212.5488613.441966.98867 7.58414 8.14787 9.2372910.3410011.5298312.1836312.8986713.7006914.63142127.80733 8.43842 9.0342810.1819711.3403212.5838413.2661014.0111014.8454015.81199138.63386 9.29907 9.9256811.1291412.3397613.6355714.3450615.1187215.9839116.98480149.4673310.1653110.8214812.0784813.3392714.6852915.4209216.2221017.1169318.150771510.3069611.0365411.7211713.0297514.3388615.7332216.4940117.3216918.2450919.310661611.1521211.9122212.6243513.9827415.3385016.7795417.5646318.4178919.3688620.465081712.0022712.7919313.5306814.9372716.3381817.8243918.6329919.5110220.4886821.614561812.8569513.6752914.4398615.8932117.3379018.8679019.6993120.6013521.6048922.759551913.7157914.5620015.3516616.8504318.3376519.9102020.7637621.6891322.7178123.900422014.5784415.4517716.2658617.8088319.3374320.9513721.8264822.7745523.8276925.037512115.4446116.3443817.1822718.7683120.3372321.9915022.8876123.8577924.9347826.171102216.3140417.2396218.1007219.7287921.3370423.0306623.9472624.9390226.0392727.301452317.1865118.1373019.0210920.6902022.3368824.0689225.0055426.0183727.1413428.428792418.0618019.0372519.9432321.6524923.3367325.1063526.0625227.0959628.2411529.553322518.9397519.9393420.8670322.6155824.3365926.1429827.1183128.1719229.3388530.675202619.8201920.8434321.7924023.5794325.3364627.1788828.1729629.2463330.4345731.794612720.7029821.7494022.7192424.5440026.3363428.2140829.2265530.3192931.5284132.911692821.5879722.6571623.6474625.5092527.3362329.2486230.2791431.3908832.6204934.026572922.4750523.5665924.5769926.4751328.3361330.2825431.3307732.4611733.7109135.139363023.3641124.4776125.5077627.4416229.3360331.3158632.3815033.5302334.7997436.250193124.2550625.3901426.4397128.4086830.3359432.3486333.4313834.5981335.8870837.359143225.1477926.3041127.3727729.3762931.3358633.3808634.4804435.6649236.9729838.466313326.0422227.2194428.3069130.3444132.3357834.4125935.5287336.7306538.0575339.571793426.9382728.1360829.2420531.3130333.3357135.4438336.5762737.7953839.1407840.675653527.8358729.0539630.1781732.2821234.3356436.4746137.6231238.8591440.2227941.777963628.7349629.9730431.1152233.2516635.3355737.5049438.6692839.9219841.3036242.878803729.6354730.8932632.0531534.2216336.3355138.5348539.7148040.9839442.3833143.978223830.5373431.8145732.9919435.1920137.3354539.5643540.7596942.0450543.4619145.076283931.4405232.7369333.9315536.1628038.3354040.5934641.8039943.1053544.5394646.173034032.3449533.6602934.8719437.1339639.3353441.6221942.8477144.1648745.6160147.268544133.2506034.5846435.8130938.1054940.3352942.6505643.8908945.2236346.6916048.362834234.1574035.5099136.7549639.0773841.3352543.6785944.9335346.2816847.7662549.455974335.0653436.4360937.6975440.0496042.3352044.7062745.9756647.3390248.8400150.547994435.9743537.3631338.6407941.0221543.3351645.7336447.0172948.3956949.9129051.638924536.8844138.2910239.5847041.9950244.3351246.7606948.0584549.4517150.9849552.728814637.7954839.2197140.5292442.9682045.3350847.7874349.0991550.5071152.0561953.817704738.7075240.1491941.4743943.9416746.3350448.8138950.1394051.5618953.1266654.905614839.6205141.0794342.4201344.9154347.3350049.8400651.1792252.6160954.1963655.992584940.5344242.0104043.3664445.8894748.3349750.8659552.2186253.6697255.2653457.078635041.4492142.9420844.3133146.8637849.3349451.8915853.2576254.7227956.3336058.1638052v152v1(x/ ex/2dx2(v)滿足2(v/vv2p2(vp2(v例：對于v60p0.52(v)59.33467 43.2813544.8075046.2086448.8131651.3348753.9420855.3344456.8273658.4680945.1167446.6755348.1059950.7635353.3348255.9916057.4097858.9299060.5999846.9551848.5460150.0052652.7148255.3347658.0402059.4837261.0305462.7294248.7965350.4188151.9063354.6669957.3347160.0879361.5563463.1293864.8565450.6406252.2938253.8091356.6199959.3346762.1348463.6277065.2265166.9814652.4873254.1709255.7135558.5737961.3346264.1809665.6978767.3220169.1042954.3365056.0500157.6195260.5283363.3345866.2263467.7669169.4159771.2251456.1880457.9310059.5269662.4835865.3345468.2710169.8348671.5084673.3440958.0418559.8138061.4358264.4395267.3345170.3150071.9017973.5995475.4612459.8978161.6983363.3460266.3961169.3344772.3583573.9677275.6892877.5766661.7558363.5845265.2575268.3533371.3344474.4010776.0327177.7777379.6904263.6158465.4722967.1702470.3111473.3344176.4432078.0968079.8649581.8026065.4777467.3615969.0841572.2695375.3343878.4847680.1600281.9509983.9132667.3414669.2523570.9992074.2284777.3343680.5257782.2224084.0359086.0224669.2069471.1445172.9153476.1879379.3343382.5662584.2839886.1197188.1302671.0741073.0380274.8325478.1479181.3343184.6062386.3447988.2024790.2367072.9428974.9328476.7507480.1083783.3342886.6457288.4048690.2842392.3418574.8132476.8289278.6699382.0693185.3342688.6847390.4642192.3650094.4457476.6851178.7262180.5900684.0307187.3342490.7233092.5228794.4448496.5484278.5584380.6246682.5111085.9925489.3342292.7614294.5808696.5237698.6499380.4331782.5242584.4330287.9548191.3342094.7991296.6382198.60181100.7503182.3092784.4249486.3557989.9174893.3341896.8364198.69493100.67901102.8496084.1866986.3266888.2793891.8805595.3341698.87330100.75105102.75538104.9478386.0653988.2294590.2037893.8440197.33415100.90981102.80658104.83096107.0450387.9453490.1332292.1289495.8078599.33413102.94594104.86155106.90576109.1412492.6503894.8967996.94510100.71900104.33409108.03472109.99658112.08954114.3776197.3624199.66597101.76561105.63226109.33406113.12139115.12842117.26896119.60838102.08096104.44038106.59019110.54748114.33402118.20611120.25727122.44433124.83393106.80561109.21966111.41857115.46454119.33400123.28899125.38334127.61590130.05459111.53596114.00353116.25052120.38333124.33397128.37015130.50679132.78391135.27068116.27169118.79171121.08581125.30374129.33394133.44970135.62778137.94858140.48247121.01248123.58395125.92426130.22567134.33392138.52772140.74646143.11009145.69020125.75805128.38002130.76569135.14904139.33390143.60430145.86294148.26862150.89410130.50815133.17972135.60994140.07378144.33388148.67953150.97736153.42433156.09437135.26254137.98286140.45688144.99982149.33386153.75346156.08981158.57737161.29120140.02102142.78927145.30635149.92708154.33385158.82616161.20039163.72786166.48476144.78337147.59880150.15825154.85552159.33383163.89769166.30919168.87594171.67521149.54943152.41129155.01246159.78507164.33381168.96811171.41630174.02171176.86269154.31902157.22662159.86886164.71568169.33380174.03747176.52179179.16527182.04734159.09199162.04465164.72738169.64732174.33379179.10581181.62573184.30673187.22929163.86819166.86528169.58791174.57992179.33377184.17318186.72820189.44618192.40864168.64750171.68839174.45037179.51347184.33376189.23961191.82924194.58370197.58551173.42977176.51389179.31469184.44791189.33375194.30515196.92893199.71936202.75999178.21491181.34168184.18079189.38321194.33374199.36983202.02730204.85324207.93219183.00279186.17167189.04860194.31933199.33373204.43368207.12442209.98542213.10219192.58639195.83793198.78911204.19395209.33371214.55903217.31507220.24487223.43589202.17983205.51208208.53575214.07153219.33369224.68141227.50121230.49820233.76172211.78243215.19357218.28810223.95188229.33368234.80104237.68316240.74582244.08020221.39361224.88194228.04580233.83480239.33366244.91809247.86118250.98810254.39181231.01284234.57676237.80852243.72015249.33365255.03271258.03551261.22536264.6969752v152v1(x/ ex/2dx2(v)滿足2(v/ 2.07225 2.70554 3.84146 5.02389 5. 6.63490 7.87944 9.1405910.8275712.3.79424 4.60517 5.99146 7.37776 7.82405 9.2103410.5966311.9829313.8155115.201805.31705 6.25139 7.81473 9.34840 9.8374111.3448712.8381614.3203516.2662417.730006.74488 7.77944 9.4877311.1432911.6678413.2767014.8602616.4239418.4668319.997358.11520 9.2363611.0705012.8325013.3882215.0862716.7496018.3856120.5150122.105339.4461010.6446412.5915914.4493815.0332116.8118918.5475820.2494022.4577424.1028010.7479012.0170414.0671416.0127616.6224218.4753120.2777422.0403924.3218926.0177712.0270713.3615715.5073117.5345518.1682320.0902421.9549523.7744726.1244827.8680513.2880414.6836616.9189819.0227719.6790221.6659923.5893525.4624827.8771629.665811014.5339415.9871818.3070420.4831821.1607723.2092525.1881827.1121729.5883031.4198115.7671017.2750119.6751421.9200522.6179424.7249726.7568528.7293531.2641333.136621216.9893118.5493521.0260723.3366624.0539626.2169728.2995230.3184832.9094934.821271318.2019819.8119322.3620324.7356025.4715127.6882529.8194731.8830934.5281836.477791419.4062421.0641423.6847926.1189526.8727629.1412431.3193533.4260136.1232738.109401520.6030122.3071324.9957927.4883928.2595030.5779132.8013234.9495937.6973039.718761621.7930623.5418326.2962328.8453529.6331831.9999334.2671936.4557539.2523541.308071722.9770324.7690427.5871130.1910130.9950533.4086635.7184737.9461440.7902242.879211824.1554725.9894228.8693031.5263832.3461634.8053137.1564539.4221542.3124044.433771925.3288527.2035730.1435332.8523333.6874336.1908738.5822640.8849743.8202045.973122026.4975828.4119831.4104334.1696135.0196337.5662339.9968542.3356645.3147547.498452127.6620129.6150932.6705735.4788836.3434538.9321741.4010643.7751246.7970449.010812228.8224530.8132833.9244436.7807137.6595040.2893642.7956545.2041548.2679450.511122329.9791932.0069035.1724638.0756338.9683141.6384044.1812846.6234649.7282352.000192431.1324633.1962436.4150339.3640840.2703642.9798245.5585148.0336951.1786053.478752532.2824934.3815937.6524840.6464741.5660744.3141046.9278949.4354052.6196654.947462633.4294735.5631738.8851441.9231742.8558345.6416848.2898850.8291154.0519656.406892734.5735836.7412240.1132743.1945144.1399946.9629449.6449252.2152755.4760257.857592835.7149937.9159241.3371444.4607945.4188548.2782450.9933853.5943156.8922959.300032936.8538339.0874742.5569745.7222946.6927049.5878852.3356254.9666058.3011760.734653037.9902540.2560243.7729746.9792447.9618050.8921853.6719656.3325059.7030662.161853139.1243741.4217444.9853448.2318949.2264052.1913955.0027057.6923261.0983163.582013240.2563042.5847546.1942649.4804450.4867053.4857756.3281159.0463562.4872264.995463341.3861443.7451847.3998850.7250851.7429254.7755457.6484560.3948863.8701066.402513442.5139944.9031648.6023751.9660052.9952456.0609158.9639361.7381465.2472267.803463543.6399446.0587949.8018553.2033554.2438357.3420760.2747763.0763766.6188369.198563644.7640747.2121750.9984654.4372955.4888658.6192161.5811864.4097967.9851770.588073745.8864548.3634152.1923255.6679756.7304759.8925062.8833465.7385969.3464571.972223847.0071749.5125853.3835456.8955257.9688061.1620964.1814167.0629670.7028973.351233948.1262850.6597754.5722358.1200659.2039862.4281265.4755768.3830872.0546674.725294049.2438551.8050655.7584859.3417160.4361363.6907466.7659669.6991173.4019676.094604150.3599452.9485156.9423960.5605761.6653864.9500768.0527371.0112074.7449477.459344251.4745954.0902058.1240461.7767662.8918166.2062469.3360072.3195076.0837678.819664352.5878755.2301959.3035162.9903664.1155467.4593570.6159073.6241477.4185880.175734453.6998256.3685460.4808964.2014665.3366768.7095171.8925574.9252578.7495281.527694554.8104957.5053061.6562365.4101666.5552769.9568373.1660676.2229580.0767382.875694655.9199158.6405462.8296266.6165367.7714371.2014074.4365477.5173581.4003384.219854757.0281459.7742964.0011167.8206568.9852472.4433175.7040778.8085682.7204285.560304858.1352060.9066165.1707769.0225970.1967673.6826476.9687780.0966884.0371386.897154959.2411462.0375466.3386570.2224171.4060874.9194778.2307181.3818285.3505688.230525060.3459963.1671267.5048171.4202072.6132576.1538979.4899882.6640586.6608289.56052v2p2(vp2(v 例：對于v1p0.952(v)3.8414652v152v1(x/ ex/2dx2(v)滿足2(v/ 62.5525665.4224169.8321673.8098675.0214378.6157682.0008385.2201589.2721564.7551467.6727972.1532276.1920577.4217781.0687784.5019087.7656391.8718566.9539669.9185174.4683278.5671679.8147183.5134386.9937690.3010994.4605469.1492172.1598476.7778080.9355982.2006585.9501889.4768792.8270697.0388371.3411074.3970179.0819483.2976784.5799588.3794291.9517095.3440299.6072373.5297776.6302181.3810285.6537386.9529490.8015394.4186597.85242102.1662575.7154078.8596483.6752688.0040589.3199293.2168696.87811100.35268104.7163377.8981281.0854985.9649190.3489091.6811795.6257299.33043102.84516107.2578880.0780683.3079088.2501692.6885494.0369798.02840101.77592105.33024109.7913082.2553585.5270490.5312395.0231896.38754100.42518104.21490107.80822112.3169384.4301187.7430592.8082797.3530598.73310102.81631106.64763110.27942114.8351286.6024389.9560595.0814799.67835101.07388105.20203109.07438112.74411117.3461688.7724292.1661797.35097101.99925103.41006107.58254111.49538115.20255119.8503590.9401694.3735299.61693104.31594105.74182109.95807113.91087117.65500122.3479593.1057596.57820101.87947106.62857108.06934112.32879116.32106120.10168124.8392295.2692798.78033104.13874108.93729110.39277114.69489118.72613122.54280127.3244097.43079100.97999106.39484111.24226112.71225117.05654121.12629124.97857129.8036999.59039103.17726108.64789113.54360115.02795119.41390123.52170127.40919132.27732101.74812105.37225110.89800115.84144117.33997121.76711125.91254129.83482134.74548103.90406107.56501113.14527118.13589119.64846124.11632128.29894132.25563137.20835106.05827109.75563115.38979120.42708121.95352126.46166130.68107134.67180139.66612108.21079111.94417117.63165122.71511124.25527128.80325133.05906137.08346142.11894110.36169114.13071119.87094125.00007126.55381131.14122135.43305139.49076144.56697112.51102116.31530122.10773127.28207128.84925133.47567137.80315141.89384147.01036114.65882118.49800124.34211129.56120131.14168135.80672140.16949144.29283149.44925120.02194123.94688129.91796135.24699136.86015141.62