log10gydF4y2Ba

检查几个以10为底的对数函数的值。gydF4y2Ba

计算的常用对数。gydF4y2Ba

log10 (1)gydF4y2Ba

ans = 0gydF4y2Ba

结果是gydF4y2Ba0gydF4y2Ba,所以这是x轴截距gydF4y2Balog10gydF4y2Ba函数。gydF4y2Ba

计算10的常用对数。gydF4y2Ba

log10 (10)gydF4y2Ba

ans = 1gydF4y2Ba

结果是gydF4y2Ba1gydF4y2Ba自gydF4y2Ba $$\mathrm{1gydF4y2Ba}{\mathrm{0gydF4y2Ba}}^{\mathrm{1gydF4y2Ba}}=gydF4y2Ba\mathrm{1gydF4y2Ba}\mathrm{0gydF4y2Ba}$$。gydF4y2Ba

100年计算的常用对数。gydF4y2Ba

log10 (100)gydF4y2Ba

ans = 2gydF4y2Ba

结果是gydF4y2Ba2gydF4y2Ba自gydF4y2Ba $$\mathrm{1gydF4y2Ba}{\mathrm{0gydF4y2Ba}}^{\mathrm{2gydF4y2Ba}}=gydF4y2Ba\mathrm{1gydF4y2Ba}\mathrm{0gydF4y2Ba}\mathrm{0gydF4y2Ba}$$。gydF4y2Ba

计算的常用对数0。gydF4y2Ba

log10 (0)gydF4y2Ba

ans =负gydF4y2Ba

结果是gydF4y2Ba负gydF4y2Ba自gydF4y2Ba $$\mathrm{1gydF4y2Ba}{\mathrm{0gydF4y2Ba}}^{-\; -\; -\; -\; -\; -gydF4y2Ba\infty gydF4y2Ba}=gydF4y2Ba\mathrm{0gydF4y2Ba}$$。gydF4y2Ba

创建一个向量的数字区间gydF4y2Ba(0.5 - 5)gydF4y2Ba。gydF4y2Ba

X = (0.5:0.5:5) ';gydF4y2Ba

计算的常用对数gydF4y2BaXgydF4y2Ba。gydF4y2Ba

Y = log10 (X)gydF4y2Ba

Y =gydF4y2Ba10×1gydF4y2Ba-0.3010 0 0.1761 0.3010 0.3979 0.4771 0.5441 0.6021 0.6532 0.6990gydF4y2Ba

创建两个笛卡尔网格gydF4y2BaXgydF4y2Ba和gydF4y2BaYgydF4y2Ba。gydF4y2Ba

(X, Y) = meshgrid (0:0.5:1.5 2:0.5:2);gydF4y2Ba

计算复杂的以10为底的对数gydF4y2Ba $$\mathrm{lgydF4y2Ba}\mathrm{ogydF4y2Ba}{\mathrm{ggydF4y2Ba}}_{\mathrm{1gydF4y2Ba}\mathrm{0gydF4y2Ba}}(gydF4y2Ba\mathrm{XgydF4y2Ba}+gydF4y2Ba\mathrm{我gydF4y2Ba}\mathrm{YgydF4y2Ba})gydF4y2Ba$$在网格上。使用gydF4y2Ba1我gydF4y2Ba提高与复杂的运算速度和鲁棒性。gydF4y2Ba

Z = log10 (X + 1 * Y)gydF4y2Ba

Z =gydF4y2Ba9×4复杂gydF4y2Ba我0.3010 - 0.6822 0.3142 - 0.5758 0.3495 - 0.4808 0.3979 - 0.4027 0.1761 - 0.6822我0.1990 - 0.5425我0.2559 - 0.4268 0.3266 - 0.3411 0.0000 - 0.6822 0.0485 - 0.4808 0.1505 - 0.3411我我0.2559 - 0.2554 -0.3010 - 0.6822 -0.1505 - 0.3411 0.0485 - 0.2014 0.1990 - 0.1397我负我-0.3010 + 0.0000 + 0.0000 0.0000 0.1761 + 0.0000 + 0.0000我-0.3010 + 0.6822我-0.1505 + 0.3411 0.0485 0.1990 + 0.1397 + 0.2014我0.0000 + 0.6822我0.0485 + 0.4808 0.1505 0.2559 + 0.2554 + 0.3411我0.1761 + 0.6822我0.1990 + 0.5425 0.2559 0.3010 0.3266 + 0.3411 + 0.4268我我0.3142 + 0.5758 + 0.6822 0.3495 0.3979 + 0.4027 + 0.4808我gydF4y2Ba