Time

Units

$n_t$

$s_t=\sqrt{\frac{n_t}{G}}$

$m_{X/Y}=n_t/n_0$

$\left(p_t\right)$

$s_{X/Y}=\sqrt{\frac{s_t^2}{n_0^2}+\frac{n_t^2{s}_0^2}{n_0^2}}$

$m_Z$

Lognormal

$s_Z$

Lognormal

0

100

3.1623

1.00

0.04478

0

0.04478

1

90

3.0000

0.90

0.04600

−1.1054

0.04600

2

80

2.8284

0.80

0.04748

−0.2233

0.04748

3

70

2.6457

0.70

0.04933

−0.3569

0.04933

4

60

2.4495

0.60

0.05168

−0.5112

0.05168

5

50

2.2361

0.50

0.05480

−0.6936

0.05480

6

40

2.0000

0.40

0.05918

−0.9170

0.05918

7

30

1.7321

0.30

0.06583

−1.2051

0.06583

8

20

1.4142

0.20

0.07742

−1.6114

0.07742

9

10

1.0000

0.10

0.10506

−2.3071

0.10467

10

5

0.0707

0.05

0.00726

−3.0051

0.14425

11

2

0.0447

0.02

0.00452

−3.9359

0.22315