Aprēķins: vp0LwK - 1
s^2 =
| ( (x1-x_v)^2* m1* (x2-x_v)^2* m2* (x3-x_v)^2* m3) |
| / (n-1) |
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s^2 =
$$s^{2}$$ = $$\frac{(x1-x_{v})^{2}\cdot m1\cdot (x2-x_{v})^{2}\cdot m2\cdot (x3-x_{v})^{2}\cdot m3}{n-1}$$
| ( (x1-x_v)^2* m1* (x2-x_v)^2* m2* (x3-x_v)^2* m3) |
| / (n-1) |
s^2 =
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$$s^{2}$$ = $$\frac{x1^{2}\cdot x2^{2}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1^{2}\cdot x2^{2}\cdot x3\cdot x_{v}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x1^{2}\cdot x2^{2}\cdot x_{v}^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1^{2}\cdot x2\cdot x_{v}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x1^{2}\cdot x2\cdot x_{v}^{2}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1^{2}\cdot x2\cdot x_{v}^{3}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x1^{2}\cdot x_{v}^{2}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1^{2}\cdot x_{v}^{3}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x1^{2}\cdot x_{v}^{4}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1\cdot x_{v}\cdot x2^{2}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x1\cdot x_{v}^{2}\cdot x2^{2}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1\cdot x_{v}^{3}\cdot x2^{2}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x1\cdot x_{v}^{2}\cdot x2\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{8\cdot x1\cdot x_{v}^{3}\cdot x2\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x1\cdot x_{v}^{4}\cdot x2\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1\cdot x_{v}^{3}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x1\cdot x_{v}^{4}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1\cdot x_{v}^{5}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x_{v}^{2}\cdot x2^{2}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x_{v}^{3}\cdot x2^{2}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x_{v}^{4}\cdot x2^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x_{v}^{3}\cdot x2\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x_{v}^{4}\cdot x2\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x_{v}^{5}\cdot x2\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x_{v}^{4}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x_{v}^{5}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x_{v}^{6}\cdot m1\cdot m2\cdot m3}{n-1}$$
| x1^2* x2^2* x3^2* m1* m2* m3 |
| / (n-1) |
| 2* x1^2* x2^2* x3* x_v* m1* m2* m3 |
| / (n-1) |
| x1^2* x2^2* x_v^2* m1* m2* m3 |
| / (n-1) |
| 2* x1^2* x2* x_v* x3^2* m1* m2* m3 |
| / (n-1) |
| 4* x1^2* x2* x_v^2* x3* m1* m2* m3 |
| / (n-1) |
| 2* x1^2* x2* x_v^3* m1* m2* m3 |
| / (n-1) |
| x1^2* x_v^2* x3^2* m1* m2* m3 |
| / (n-1) |
| 2* x1^2* x_v^3* x3* m1* m2* m3 |
| / (n-1) |
| x1^2* x_v^4* m1* m2* m3 |
| / (n-1) |
| 2* x1* x_v* x2^2* x3^2* m1* m2* m3 |
| / (n-1) |
| 4* x1* x_v^2* x2^2* x3* m1* m2* m3 |
| / (n-1) |
| 2* x1* x_v^3* x2^2* m1* m2* m3 |
| / (n-1) |
| 4* x1* x_v^2* x2* x3^2* m1* m2* m3 |
| / (n-1) |
| 8* x1* x_v^3* x2* x3* m1* m2* m3 |
| / (n-1) |
| 4* x1* x_v^4* x2* m1* m2* m3 |
| / (n-1) |
| 2* x1* x_v^3* x3^2* m1* m2* m3 |
| / (n-1) |
| 4* x1* x_v^4* x3* m1* m2* m3 |
| / (n-1) |
| 2* x1* x_v^5* m1* m2* m3 |
| / (n-1) |
| x_v^2* x2^2* x3^2* m1* m2* m3 |
| / (n-1) |
| 2* x_v^3* x2^2* x3* m1* m2* m3 |
| / (n-1) |
| x_v^4* x2^2* m1* m2* m3 |
| / (n-1) |
| 2* x_v^3* x2* x3^2* m1* m2* m3 |
| / (n-1) |
| 4* x_v^4* x2* x3* m1* m2* m3 |
| / (n-1) |
| 2* x_v^5* x2* m1* m2* m3 |
| / (n-1) |
| x_v^4* x3^2* m1* m2* m3 |
| / (n-1) |
| 2* x_v^5* x3* m1* m2* m3 |
| / (n-1) |
| x_v^6* m1* m2* m3 |
| / (n-1) |
s = saknis(
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)$$s$$ = $$\sqrt {\frac{x1^{2}\cdot x2^{2}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1^{2}\cdot x2^{2}\cdot x3\cdot x_{v}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x1^{2}\cdot x2^{2}\cdot x_{v}^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1^{2}\cdot x2\cdot x_{v}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x1^{2}\cdot x2\cdot x_{v}^{2}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1^{2}\cdot x2\cdot x_{v}^{3}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x1^{2}\cdot x_{v}^{2}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1^{2}\cdot x_{v}^{3}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x1^{2}\cdot x_{v}^{4}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1\cdot x_{v}\cdot x2^{2}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x1\cdot x_{v}^{2}\cdot x2^{2}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1\cdot x_{v}^{3}\cdot x2^{2}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x1\cdot x_{v}^{2}\cdot x2\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{8\cdot x1\cdot x_{v}^{3}\cdot x2\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x1\cdot x_{v}^{4}\cdot x2\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1\cdot x_{v}^{3}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x1\cdot x_{v}^{4}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x1\cdot x_{v}^{5}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x_{v}^{2}\cdot x2^{2}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x_{v}^{3}\cdot x2^{2}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x_{v}^{4}\cdot x2^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x_{v}^{3}\cdot x2\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}+\frac{4\cdot x_{v}^{4}\cdot x2\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x_{v}^{5}\cdot x2\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x_{v}^{4}\cdot x3^{2}\cdot m1\cdot m2\cdot m3}{n-1}-\frac{2\cdot x_{v}^{5}\cdot x3\cdot m1\cdot m2\cdot m3}{n-1}+\frac{x_{v}^{6}\cdot m1\cdot m2\cdot m3}{n-1}}$$
| x1^2* x2^2* x3^2* m1* m2* m3 |
| / (n-1) |
| 2* x1^2* x2^2* x3* x_v* m1* m2* m3 |
| / (n-1) |
| x1^2* x2^2* x_v^2* m1* m2* m3 |
| / (n-1) |
| 2* x1^2* x2* x_v* x3^2* m1* m2* m3 |
| / (n-1) |
| 4* x1^2* x2* x_v^2* x3* m1* m2* m3 |
| / (n-1) |
| 2* x1^2* x2* x_v^3* m1* m2* m3 |
| / (n-1) |
| x1^2* x_v^2* x3^2* m1* m2* m3 |
| / (n-1) |
| 2* x1^2* x_v^3* x3* m1* m2* m3 |
| / (n-1) |
| x1^2* x_v^4* m1* m2* m3 |
| / (n-1) |
| 2* x1* x_v* x2^2* x3^2* m1* m2* m3 |
| / (n-1) |
| 4* x1* x_v^2* x2^2* x3* m1* m2* m3 |
| / (n-1) |
| 2* x1* x_v^3* x2^2* m1* m2* m3 |
| / (n-1) |
| 4* x1* x_v^2* x2* x3^2* m1* m2* m3 |
| / (n-1) |
| 8* x1* x_v^3* x2* x3* m1* m2* m3 |
| / (n-1) |
| 4* x1* x_v^4* x2* m1* m2* m3 |
| / (n-1) |
| 2* x1* x_v^3* x3^2* m1* m2* m3 |
| / (n-1) |
| 4* x1* x_v^4* x3* m1* m2* m3 |
| / (n-1) |
| 2* x1* x_v^5* m1* m2* m3 |
| / (n-1) |
| x_v^2* x2^2* x3^2* m1* m2* m3 |
| / (n-1) |
| 2* x_v^3* x2^2* x3* m1* m2* m3 |
| / (n-1) |
| x_v^4* x2^2* m1* m2* m3 |
| / (n-1) |
| 2* x_v^3* x2* x3^2* m1* m2* m3 |
| / (n-1) |
| 4* x_v^4* x2* x3* m1* m2* m3 |
| / (n-1) |
| 2* x_v^5* x2* m1* m2* m3 |
| / (n-1) |
| x_v^4* x3^2* m1* m2* m3 |
| / (n-1) |
| 2* x_v^5* x3* m1* m2* m3 |
| / (n-1) |
| x_v^6* m1* m2* m3 |
| / (n-1) |
s = saknis(
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)$$s$$ = $$\sqrt {\frac{m1\cdot m2\cdot m3\cdot x1^{2}\cdot x2^{2}\cdot x3^{2}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x1^{2}\cdot x2^{2}\cdot x3\cdot x_{v}}{n-1}+\frac{m1\cdot m2\cdot m3\cdot x1^{2}\cdot x2^{2}\cdot x_{v}^{2}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x1^{2}\cdot x2\cdot x3^{2}\cdot x_{v}}{n-1}+\frac{4\cdot m1\cdot m2\cdot m3\cdot x1^{2}\cdot x2\cdot x3\cdot x_{v}^{2}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x1^{2}\cdot x2\cdot x_{v}^{3}}{n-1}+\frac{m1\cdot m2\cdot m3\cdot x1^{2}\cdot x3^{2}\cdot x_{v}^{2}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x1^{2}\cdot x3\cdot x_{v}^{3}}{n-1}+\frac{m1\cdot m2\cdot m3\cdot x1^{2}\cdot x_{v}^{4}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x1\cdot x2^{2}\cdot x3^{2}\cdot x_{v}}{n-1}+\frac{4\cdot m1\cdot m2\cdot m3\cdot x1\cdot x2^{2}\cdot x3\cdot x_{v}^{2}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x1\cdot x2^{2}\cdot x_{v}^{3}}{n-1}+\frac{4\cdot m1\cdot m2\cdot m3\cdot x1\cdot x2\cdot x3^{2}\cdot x_{v}^{2}}{n-1}-\frac{8\cdot m1\cdot m2\cdot m3\cdot x1\cdot x2\cdot x3\cdot x_{v}^{3}}{n-1}+\frac{4\cdot m1\cdot m2\cdot m3\cdot x1\cdot x2\cdot x_{v}^{4}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x1\cdot x3^{2}\cdot x_{v}^{3}}{n-1}+\frac{4\cdot m1\cdot m2\cdot m3\cdot x1\cdot x3\cdot x_{v}^{4}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x1\cdot x_{v}^{5}}{n-1}+\frac{m1\cdot m2\cdot m3\cdot x2^{2}\cdot x3^{2}\cdot x_{v}^{2}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x2^{2}\cdot x3\cdot x_{v}^{3}}{n-1}+\frac{m1\cdot m2\cdot m3\cdot x2^{2}\cdot x_{v}^{4}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x2\cdot x3^{2}\cdot x_{v}^{3}}{n-1}+\frac{4\cdot m1\cdot m2\cdot m3\cdot x2\cdot x3\cdot x_{v}^{4}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x2\cdot x_{v}^{5}}{n-1}+\frac{m1\cdot m2\cdot m3\cdot x3^{2}\cdot x_{v}^{4}}{n-1}-\frac{2\cdot m1\cdot m2\cdot m3\cdot x3\cdot x_{v}^{5}}{n-1}+\frac{m1\cdot m2\cdot m3\cdot x_{v}^{6}}{n-1}}$$
| m1* m2* m3* x1^2* x2^2* x3^2 |
| / (n-1) |
| 2* m1* m2* m3* x1^2* x2^2* x3* x_v |
| / (n-1) |
| m1* m2* m3* x1^2* x2^2* x_v^2 |
| / (n-1) |
| 2* m1* m2* m3* x1^2* x2* x3^2* x_v |
| / (n-1) |
| 4* m1* m2* m3* x1^2* x2* x3* x_v^2 |
| / (n-1) |
| 2* m1* m2* m3* x1^2* x2* x_v^3 |
| / (n-1) |
| m1* m2* m3* x1^2* x3^2* x_v^2 |
| / (n-1) |
| 2* m1* m2* m3* x1^2* x3* x_v^3 |
| / (n-1) |
| m1* m2* m3* x1^2* x_v^4 |
| / (n-1) |
| 2* m1* m2* m3* x1* x2^2* x3^2* x_v |
| / (n-1) |
| 4* m1* m2* m3* x1* x2^2* x3* x_v^2 |
| / (n-1) |
| 2* m1* m2* m3* x1* x2^2* x_v^3 |
| / (n-1) |
| 4* m1* m2* m3* x1* x2* x3^2* x_v^2 |
| / (n-1) |
| 8* m1* m2* m3* x1* x2* x3* x_v^3 |
| / (n-1) |
| 4* m1* m2* m3* x1* x2* x_v^4 |
| / (n-1) |
| 2* m1* m2* m3* x1* x3^2* x_v^3 |
| / (n-1) |
| 4* m1* m2* m3* x1* x3* x_v^4 |
| / (n-1) |
| 2* m1* m2* m3* x1* x_v^5 |
| / (n-1) |
| m1* m2* m3* x2^2* x3^2* x_v^2 |
| / (n-1) |
| 2* m1* m2* m3* x2^2* x3* x_v^3 |
| / (n-1) |
| m1* m2* m3* x2^2* x_v^4 |
| / (n-1) |
| 2* m1* m2* m3* x2* x3^2* x_v^3 |
| / (n-1) |
| 4* m1* m2* m3* x2* x3* x_v^4 |
| / (n-1) |
| 2* m1* m2* m3* x2* x_v^5 |
| / (n-1) |
| m1* m2* m3* x3^2* x_v^4 |
| / (n-1) |
| 2* m1* m2* m3* x3* x_v^5 |
| / (n-1) |
| m1* m2* m3* x_v^6 |
| / (n-1) |