Diseño matemático regla IMC
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IMC=masa (Kg) / altura (m) ² = m / h²
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Estudio de la fórmula del IMC: representación en tabla cromática y planteamiento logarítmico para diseño de la regla de cálculo
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desde
media
hastaRelación logarítmica:
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Obesidad mórbida4080.00120.00I = log (IMC) = log m - 2 log h = M - H
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Preobeso2527.5029.99<<<m=80M=1.90
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Normal18.521.7524.99h=1.7H=0.46
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Hh (m)
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0.682.26.206.617.027.447.858.268.689.099.509.9210.3310.7411.1611.5711.9812.4012.8113.2213.6414.0514.4614.8815.2915.7016.1216.5316.9417.3617.7718.1818.6019.0119.4219.8320.2520.6621.0721.4921.9022.3122.7323.1423.5523.9724.3824.79
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0.662.156.496.927.367.798.228.659.099.529.9510.3810.8211.2511.6812.1112.5512.9813.4113.8514.2814.7115.1415.5816.0116.4416.8717.3117.7418.1718.6019.0419.4719.9020.3420.7721.2021.6322.0722.5022.9323.3623.8024.2324.6625.0925.5325.96
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0.642.16.807.267.718.168.629.079.529.9810.4310.8811.3411.7912.2412.7013.1513.6114.0614.5114.9715.4215.8716.3316.7817.2317.6918.1418.5919.0519.5019.9520.4120.8621.3221.7722.2222.6823.1323.5824.0424.4924.9425.4025.8526.3026.7627.21
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0.622.057.147.618.098.579.049.529.9910.4710.9511.4211.9012.3712.8513.3313.8014.2814.7515.2315.7016.1816.6617.1317.6118.0818.5619.0419.5119.9920.4620.9421.4221.8922.3722.8423.3223.8024.2724.7525.2225.7026.1726.6527.1327.6028.0828.55
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0.6027.508.008.509.009.5010.0010.5011.0011.5012.0012.5013.0013.5014.0014.5015.0015.5016.0016.5017.0017.5018.0018.5019.0019.5020.0020.5021.0021.5022.0022.5023.0023.5024.0024.5025.0025.5026.0026.5027.0027.5028.0028.5029.0029.5030.00
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0.581.957.898.428.949.479.9910.5211.0511.5712.1012.6213.1513.6814.2014.7315.2515.7816.3116.8317.3617.8818.4118.9319.4619.9920.5121.0421.5622.0922.6223.1423.6724.1924.7225.2525.7726.3026.8227.3527.8828.4028.9329.4529.9830.5131.0331.56
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0.561.98.318.869.429.9710.5311.0811.6312.1912.7413.3013.8514.4014.9615.5116.0716.6217.1717.7318.2818.8419.3919.9420.5021.0521.6122.1622.7123.2723.8224.3824.9325.4826.0426.5927.1527.7028.2528.8129.3629.9230.4731.0231.5832.1332.6933.24
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0.531.858.779.359.9310.5211.1011.6912.2712.8613.4414.0214.6115.1915.7816.3616.9517.5318.1218.7019.2819.8720.4521.0421.6222.2122.7923.3723.9624.5425.1325.7126.3026.8827.4728.0528.6329.2229.8030.3930.9731.5632.1432.7233.3133.8934.4835.06
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0.511.89.269.8810.4911.1111.7312.3512.9613.5814.2014.8115.4316.0516.6717.2817.9018.5219.1419.7520.3720.9921.6022.2222.8423.4624.0724.6925.3125.9326.5427.1627.7828.4029.0129.6330.2530.8631.4832.1032.7233.3333.9534.5735.1935.8036.4237.04
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0.491.759.8010.4511.1011.7612.4113.0613.7114.3715.0215.6716.3316.9817.6318.2918.9419.5920.2420.9021.5522.2022.8623.5124.1624.8225.4726.1226.7827.4328.0828.7329.3930.0430.6931.3532.0032.6533.3133.9634.6135.2735.9236.5737.2237.8838.5339.18
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0.461.710.3811.0711.7612.4613.1513.8414.5315.2215.9216.6117.3017.9918.6919.3820.0720.7621.4522.1522.8423.5324.2224.9125.6126.3026.9927.6828.3729.0729.7630.4531.1431.8332.5333.2233.9134.6035.2935.9936.6837.3738.0638.7539.4540.1440.8341.52
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0.431.6511.0211.7512.4913.2213.9614.6915.4316.1616.9017.6318.3719.1019.8320.5721.3022.0422.7723.5124.2424.9825.7126.4527.1827.9228.6529.3830.1230.8531.5932.3233.0633.7934.5335.2636.0036.7337.4738.2038.9339.6740.4041.1441.8742.6143.3444.08
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0.411.611.7212.5013.2814.0614.8415.6316.4117.1917.9718.7519.5320.3121.0921.8822.6623.4424.2225.0025.7826.5627.3428.1328.9129.6930.4731.2532.0332.8133.5934.3835.1635.9436.7237.5038.2839.0639.8440.6341.4142.1942.9743.7544.5345.3146.0946.88
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0.381.5512.4913.3214.1514.9815.8216.6517.4818.3119.1519.9820.8121.6422.4823.3124.1424.9725.8126.6427.4728.3029.1429.9730.8031.6332.4733.3034.1334.9635.8036.6337.4638.2939.1339.9640.7941.6242.4643.2944.1244.9545.7946.6247.4548.2849.1249.95
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0.351.513.3314.2215.1116.0016.8917.7818.6719.5620.4421.3322.2223.1124.0024.8925.7826.6727.5628.4429.3330.2231.1132.0032.8933.7834.6735.5636.4437.3338.2239.1140.0040.8941.7842.6743.5644.4445.3346.2247.1148.0048.8949.7850.6751.5652.4453.33
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0.321.4514.2715.2216.1717.1218.0719.0219.9820.9321.8822.8323.7824.7325.6826.6327.5928.5429.4930.4431.3932.3433.2934.2435.2036.1537.1038.0539.0039.9540.9041.8542.8143.7644.7145.6646.6147.5648.5149.4650.4251.3752.3253.2754.2255.1756.1257.07
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0.291.415.3116.3317.3518.3719.3920.4121.4322.4523.4724.4925.5126.5327.5528.5729.5930.6131.6332.6533.6734.6935.7136.7337.7638.7839.8040.8241.8442.8643.8844.9045.9246.9447.9648.9850.0051.0252.0453.0654.0855.1056.1257.1458.1659.1860.2061.22
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0.261.3516.4617.5618.6619.7520.8521.9523.0524.1425.2426.3427.4328.5329.6330.7331.8232.9234.0235.1236.2137.3138.4139.5140.6041.7042.8043.9044.9946.0947.1948.2949.3850.4851.5852.6753.7754.8755.9757.0658.1659.2660.3661.4562.5563.6564.7565.84
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0.231.317.7518.9320.1221.3022.4923.6724.8526.0427.2228.4029.5930.7731.9533.1434.3235.5036.6937.8739.0540.2441.4242.6043.7944.9746.1547.3448.5249.7050.8952.0753.2554.4455.6256.8057.9959.1760.3661.5462.7263.9165.0966.2767.4668.6469.8271.01
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0.191.2519.2020.4821.7623.0424.3225.6026.8828.1629.4430.7232.0033.2834.5635.8437.1238.4039.6840.9642.2443.5244.8046.0847.3648.6449.9251.2052.4853.7655.0456.3257.6058.8860.1661.4462.7264.0065.2866.5667.8469.1270.4071.6872.9674.2475.5276.80
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0.161.220.8322.2223.6125.0026.3927.7829.1730.5631.9433.3334.7236.1137.5038.8940.2841.6743.0644.4445.8347.2248.6150.0051.3952.7854.1755.5656.9458.3359.7261.1162.5063.8965.2866.6768.0669.4470.8372.2273.6175.0076.3977.7879.1780.5681.9483.33
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0.121.1522.6824.2025.7127.2228.7330.2531.7633.2734.7836.2937.8139.3240.8342.3443.8645.3746.8848.3949.9151.4252.9354.4455.9557.4758.9860.4962.0063.5265.0366.5468.0569.5771.0872.5974.1075.6177.1378.6480.1581.6683.1884.6986.2087.7189.2290.74
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0.081.124.7926.4528.1029.7531.4033.0634.7136.3638.0239.6741.3242.9844.6346.2847.9349.5951.2452.8954.5556.2057.8559.5061.1662.8164.4666.1267.7769.4271.0772.7374.3876.0377.6979.3480.9982.6484.3085.9587.6089.2690.9192.5694.2195.8797.5299.17
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0.041.0527.2129.0230.8432.6534.4736.2838.1039.9141.7243.5445.3547.1748.9850.7952.6154.4256.2458.0559.8661.6863.4965.3167.1268.9370.7572.5674.3876.1978.0079.8281.6383.4585.2687.0788.8990.7092.5294.3396.1597.9699.77101.59103.40105.22107.03108.84
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0.00130.0032.0034.0036.0038.0040.0042.0044.0046.0048.0050.0052.0054.0056.0058.0060.0062.0064.0066.0068.0070.0072.0074.0076.0078.0080.0082.0084.0086.0088.0090.0092.0094.0096.0098.00100.00102.00104.00106.00108.00110.00112.00114.00116.00118.00120.00
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m (Kg):3032343638404244464850525456586062646668707274767880828486889092949698100102104106108110112114116118120
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M1.481.511.531.561.581.601.621.641.661.681.701.721.731.751.761.781.791.811.821.831.851.861.871.881.891.901.911.921.931.941.951.961.971.981.992.002.012.022.032.032.042.052.062.062.072.08
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