by Max Barry

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by The Heldere n Betoverde Dimensie of Garden at 6th Mile Road. . 228 reads.

Holly's Height with Time.

Disclaimer: This is not a homework in disguise for anyone. My interest in Math just got the better of me, and now it kept growing and growing. Also, logarithms in Excel are hard.

Special thanks to Dawetid for his feedback and input on making the graphs and table better.

(Using different languages on Excel - that Ctrl+G is save in Spanish, Ctrl+B is save in Portuguese, NOT bold.)

Date

Language Used (Misc.)

x / Meters

y = lg (x / meters)

z = lg (y) = lg (lg (x))

| z | = | lg (y) | = | lg (lg (x)) |

2018-06-09

Hungarian

105002

5002.0

3.69914368739448

3.69914368739448

2018-06-10

Hungarian

0.08

-1.09691

0.0401710009046706+1.36437635384184i

1.36496759823684

2018-06-11

Hungarian

0.13333

-0.87507

-0.057956152219323+1.36437635384184i

1.36560673347154

2018-06-12

Hungarian

0.4

-0.39794

-0.400182394927497+1.36437635384184i

1.42185399536403

2018-06-13

Hungarian - Polish

4.5

0.65321

-0.184945503954471

0.184945503954471

2018-06-14

Polish - Romanian

6

0.77815

-0.108935980358987

0.108935980358987

2018-06-15

Romanian

10.1431

1.00617

0.00267166948445483

0.00267166948445483

2018-06-16

Romanian

10.1431

1.00617

0.00267166948445483

0.00267166948445483

2018-06-17

Romanian - Croatian

10.1431

1.00617

0.00267166948445483

0.00267166948445483

2018-06-18

Croatian

60

1.77815

0.249968699498779

0.249968699498779

2018-06-19

Croatian

555.55

2.74472

0.438498545633991

0.438498545633991

2018-06-20

Croatian - Russian

2552

3.40688

0.532356922165827

0.532356922165827

2018-06-21

Russian - Luxembourgish

55,000

4.74036

0.675811571214184

0.675811571214184

2018-06-22

Luxembourgish

40,000,000

7.60206

0.880931292496747

0.880931292496747

2018-06-23

Luxembourgish

10500,000

500000.0

5.69897000433602

5.69897000433602

2018-06-24

Luxembourgish

5

0.69897

-0.155541461208344

0.155541461208344

2018-06-25

Luxembourgish

5

0.69897

-0.155541461208344

0.155541461208344

2018-06-26

Luxembourgish

5

0.69897

-0.155541461208344

0.155541461208344

2018-06-27

French

13

1.11394

0.0468631060925722

0.0468631060925722

2018-06-28

Luxembourgish

13

1.11394

0.0468631060925722

0.0468631060925722

2018-06-29

Luxembourgish

31.3131

1.49573

0.174852061858879

0.174852061858879

2018-06-30

Luxembourgish

200

2.30103

0.361922280062142

0.361922280062142

2018-07-01

Luxembourgish

1000

3.0

-0.321371236130543

0.321371236130543

2018-07-02

Luxembourgish - Dutch

4000

3.60206

0.556550941600043

0.556550941600043

2018-07-03

Dutch

2018

3.30492

0.519161103954856

0.519161103954856

2018-07-04

Dutch

6.50

0.81291

-0.0899557406754717

0.0899557406754717

2018-07-05

Dutch

6.50

0.81291

-0.0899557406754717

0.0899557406754717

2018-07-06

Dutch

7.777

0.89081

-0.0502138930370071

0.0502138930370071

2018-07-07

Dutch

31.415926

1.49715

0.17526527556618

0.17526527556618

2018-07-08

Dutch - Spanish

20

1.30103

0.114287309475634

0.114287309475634

2018-07-09

Spanish

88

1.94448

0.288804077376461

0.288804077376461

2018-07-10

Spanish

90

1.95424

0.2909784559929

0.2909784559929

2018-07-11

Spanish

90

1.95424

0.2909784559929

0.2909784559929

2018-07-12

Spanish

90

1.95424

0.2909784559929

0.2909784559929

2018-07-13

Spanish - Portuguese (Brazil)

80

1.90309

0.279459324246068

0.279459324246068

2018-07-14

Portuguese (Brazil)

75

1.87506

0.273015461886832

0.273015461886832

2018-07-15

Portuguese (Brazil) - Polish

800

2.90309

0.462860497853149

0.462860497853149

2018-07-16

Polish

5000,000

6.69897

0.826008033175409

0.826008033175409

2018-07-17

Polish

524288,000

8.71957

0.940495064403596

0.940495064403596

2018-07-18

Polish

40

1.60206

0.204678774803698

0.204678774803698

2018-07-19

Polish

40

1.60206

0.204678774803698

0.204678774803698

2018-07-20

Polish

40

1.60206

0.204678774803698

0.204678774803698

2018-07-21

Polish

8.888

0.9488

-0.0228234720378358

0.0228234720378358

2018-07-22

Polish

8.888

0.9488

-0.0228234720378358

0.0228234720378358

2018-07-23

Polish

8.888

0.9488

-0.0228234720378358

0.0228234720378358

2018-07-24

Polish

8.888

0.9488

-0.0228234720378358

0.0228234720378358

2018-07-25

Polish

8.888

0.9488

-0.0228234720378358

0.0228234720378358

2018-07-26

Polish

8.888

0.9488

-0.0228234720378358

0.0228234720378358

2018-07-27

Polish

8.888

0.9488

-0.0228234720378358

0.0228234720378358

2018-07-28

Polish

22.22

1.34674

0.129285066966828

0.129285066966828

For example, 100.77815 = 6 m. Log(Log x) poses a problem with heights smaller than 1 m, so it has been modulated - the imaginary logarithm is now abs ( lg ( lg ( x ))). To calculate that, simply use the complex number, e.g. = 100.0401710009046706+1.36437635384184i = -1.09691001300806, then 10-1.09691001300806 = 0.08 meters.

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