Strona główna
Losuj
Zaloguj się
Ustawienia
Darowizny
O Wikiźródłach
Informacje prawne
Szukaj
Strona
:
A. Baranowski - O wzorach.pdf/9
Język
Obserwuj
Edytuj
Ta strona została
przepisana
.
φ
(
100
000
,
4
)
=
φ
(
100
000
,
3
)
−
[
φ
(
100
000
7
,
3
)
=
φ
(
14
285
,
3
)
]
=
26
666
−
3809
=
22
857
{\displaystyle \varphi (100\,000,\,\,\,4)=\varphi (100\,000,\,\,\,3)-\left[\varphi \left({\frac {100\,000}{7}},\,\,\,3\right)=\varphi \left(14\,285,\,\,\,3\right)\right]=26\,666-\,\,\,\,3809=22\,857\,\,}
φ
(
100
000
,
3
)
=
φ
(
100
000
,
2
)
−
[
φ
(
100
000
5
,
2
)
=
φ
(
20
000
,
2
)
]
=
33
333
−
6667
=
26
666
{\displaystyle \varphi (100\,000,\,\,\,3)=\varphi (100\,000,\,\,\,2)-\left[\varphi \left({\frac {100\,000}{5}},\,\,\,2\right)=\varphi \left(20\,000,\,\,\,2\right)\right]=33\,333-\,\,\,\,6667=26\,666\,\,}
φ
(
100
000
,
2
)
=
φ
(
100
000
,
1
)
−
[
φ
(
100
000
3
,
1
)
=
φ
(
33
333
,
1
)
]
=
50
000
−
16
667
=
33
333.
{\displaystyle \varphi (100\,000,\,\,\,2)=\varphi (100\,000,\,\,\,1)-\left[\varphi \left({\frac {100\,000}{3}},\,\,\,1\right)=\varphi \left(33\,333,\,\,\,1\right)\right]=50\,000-16\,667=33\,333.}
φ
(
20
000
,
2
)
=
φ
(
20
000
,
1
)
−
φ
(
6
666
,
1
)
=
10
000
−
3
333
{\displaystyle \varphi (20\,000,2)=\varphi (20\,000,1)-\varphi (6\,666,1)=10\,000-3\,333}
=
{\displaystyle =}
6
667
{\displaystyle 6\,667}
φ
(
14
285
,
3
)
=
φ
(
14
285
,
2
)
−
φ
(
2
857
,
2
)
=
4
762
−
953
=
3
809
{\displaystyle \varphi (14\,285,3)=\varphi (14\,285,2)-\varphi (2\,857,2)=4\,762-953=3\,809}
φ
(
14
285
,
2
)
=
φ
(
14
285
,
1
)
−
φ
(
4
761
,
1
)
=
7
143
−
2
381
=
4
762
{\displaystyle \varphi (14\,285,2)=\varphi (14\,285,1)-\varphi (4\,761,1)=7\,143-2\,381=4\,762}
φ
(
2857
,
2
)
=
φ
(
2
857
,
1
)
−
φ
(
952
,
1
)
=
1
429
−
476
{\displaystyle \varphi (2857,2)=\varphi (2\,857,1)-\varphi (952,1)=1\,429-476}
=
{\displaystyle =}
953
{\displaystyle 953}
φ
(
9
090
,
4
)
=
φ
(
9
090
,
3
)
−
φ
(
1
298
,
3
)
=
2
424
−
346
=
2
078
{\displaystyle \varphi (9\,090,4)=\varphi (9\,090,3)-\varphi (1\,298,3)=2\,424-346=2\,078}
φ
(
9
090
,
3
)
=
φ
(
9
090
,
2
)
−
φ
(
1
818
,
2
)
=
3
030
−
606
=
2
424
{\displaystyle \varphi (9\,090,3)=\varphi (9\,090,2)-\varphi (1\,818,2)=3\,030-606=2\,424}
φ
(
9
090
,
2
)
=
φ
(
9
090
,
1
)
−
φ
(
3
030
,
1
)
=
4
545
−
1
515
=
3
030
{\displaystyle \varphi (9\,090,2)=\varphi (9\,090,1)-\varphi (3\,030,1)=4\,545-1\,515=3\,030}
φ
(
1
818
,
2
)
=
φ
(
1
818
,
1
)
−
φ
(
606
,
1
)
=
909
−
303
{\displaystyle \varphi (1\,818,2)=\varphi (1\,818,1)-\varphi (606,1)=909-303}
=
{\displaystyle =}
606
{\displaystyle 606}
φ
(
1
298
,
3
)
=
φ
(
1
298
,
2
)
−
φ
(
259
,
2
)
=
433
−
87
=
346
{\displaystyle \varphi (1\,298,3)=\varphi (1\,298,2)-\varphi (259,2)=433-87=346}
φ
(
1
298
,
2
)
=
φ
(
1
298
,
1
)
−
φ
(
432
,
1
)
=
649
−
216
=
433
{\displaystyle \varphi (1\,298,2)=\varphi (1\,298,1)-\varphi (432,1)=649-216=433}
φ
(
259
,
2
)
=
φ
(
259
,
1
)
−
φ
(
86
,
1
)
=
130
−
43
{\displaystyle \varphi (259,2)=\varphi (259,1)-\varphi (86,1)=130-43}
=
{\displaystyle =}
87
{\displaystyle 87}
φ
(
7
692
,
5
)
=
φ
(
7
692
,
4
)
−
φ
(
699
,
4
)
=
1
758
−
160
=
1
598
{\displaystyle \varphi (7\,692,5)=\varphi (7\,692,4)-\varphi (699,4)=1\,758-160=1\,598}
φ
(
7
692
,
4
)
=
φ
(
7
692
,
3
)
−
φ
(
1
098
,
3
)
=
2
051
−
293
=
1
758
{\displaystyle \varphi (7\,692,4)=\varphi (7\,692,3)-\varphi (1\,098,3)=2\,051-293=1\,758}
φ
(
7
692
,
3
)
=
φ
(
7
692
,
2
)
−
φ
(
1
538
,
2
)
=
2
564
−
513
=
2
051
{\displaystyle \varphi (7\,692,3)=\varphi (7\,692,2)-\varphi (1\,538,2)=2\,564-513=2\,051}
φ
(
7
692
,
2
)
=
φ
(
7
692
,
1
)
−
φ
(
2
564
,
1
)
=
3
846
−
1
282
=
2
564
{\displaystyle \varphi (7\,692,2)=\varphi (7\,692,1)-\varphi (2\,564,1)=3\,846-1\,282=2\,564}
φ
(
1
538
,
2
)
=
φ
(
1
538
,
1
)
−
φ
(
512
,
1
)
=
769
−
256
{\displaystyle \varphi (1\,538,2)=\varphi (1\,538,1)-\varphi (512,1)=769-256}
=
{\displaystyle =}
513
{\displaystyle 513}
φ
(
1
098
,
3
)
=
φ
(
1
098
,
2
)
−
φ
(
219
,
2
)
=
366
−
73
=
293
{\displaystyle \varphi (1\,098,3)=\varphi (1\,098,2)-\varphi (219,2)=366-73=293}
φ
(
1
098
,
2
)
=
φ
(
1
098
,
1
)
−
φ
(
366
,
1
)
=
549
−
183
=
366
{\displaystyle \varphi (1\,098,2)=\varphi (1\,098,1)-\varphi (366,1)=549-183=366}
φ
(
219
,
2
)
=
φ
(
219
,
1
)
−
φ
(
73
,
1
)
=
110
−
37
{\displaystyle \varphi (219,2)=\varphi (219,1)-\varphi (73,1)=110-37}
=
{\displaystyle =}
73
{\displaystyle 73}
φ
(
699
,
4
)
=
φ
(
699
,
3
)
−
φ
(
99
,
3
)
=
186
−
26
=
160
{\displaystyle \varphi (699,4)=\varphi (699,3)-\varphi (99,3)=186-26=160}
φ
(
699
,
3
)
=
φ
(
699
,
2
)
−
φ
(
139
,
2
)
=
233
−
47
=
186
{\displaystyle \varphi (699,3)=\varphi (699,2)-\varphi (139,2)=233-47=186}
φ
(
699
,
2
)
=
φ
(
699
,
1
)
−
φ
(
233
,
1
)
=
350
−
117
=
233
{\displaystyle \varphi (699,2)=\varphi (699,1)-\varphi (233,1)=350-117=233}
φ
(
139
,
2
)
=
φ
(
139
,
1
)
−
φ
(
46
,
1
)
=
70
−
23
{\displaystyle \varphi (139,2)=\varphi (139,1)-\varphi (46,1)=70-23}
=
{\displaystyle =}
47
{\displaystyle 47}
φ
(
99
,
3
)
=
φ
(
99
,
2
)
−
φ
(
19
,
2
)
=
33
−
7
=
26
{\displaystyle \varphi (99,3)=\varphi (99,2)-\varphi (19,2)=33-7=26}
φ
(
99
,
2
)
=
φ
(
99
,
1
)
−
φ
(
33
,
1
)
=
50
−
17
=
33
{\displaystyle \varphi (99,2)=\varphi (99,1)-\varphi (33,1)=50-17=33}
φ
(
19
,
2
)
=
φ
(
19
,
1
)
−
φ
(
6
,
1
)
=
10
−
3
{\displaystyle \varphi (19,2)=\varphi (19,1)-\varphi (6,1)=10-3}
=
{\displaystyle =}
7
{\displaystyle 7}
![{\displaystyle \varphi (100\,000,\,\,\,4)=\varphi (100\,000,\,\,\,3)-\left[\varphi \left({\frac {100\,000}{7}},\,\,\,3\right)=\varphi \left(14\,285,\,\,\,3\right)\right]=26\,666-\,\,\,\,3809=22\,857\,\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cb9581eee7090c3034890473db97ccfe965a2873)
![{\displaystyle \varphi (100\,000,\,\,\,3)=\varphi (100\,000,\,\,\,2)-\left[\varphi \left({\frac {100\,000}{5}},\,\,\,2\right)=\varphi \left(20\,000,\,\,\,2\right)\right]=33\,333-\,\,\,\,6667=26\,666\,\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3782478ce1a3979ec0e406c01e78f4ff41df21af)
![{\displaystyle \varphi (100\,000,\,\,\,2)=\varphi (100\,000,\,\,\,1)-\left[\varphi \left({\frac {100\,000}{3}},\,\,\,1\right)=\varphi \left(33\,333,\,\,\,1\right)\right]=50\,000-16\,667=33\,333.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/be961167c25ea4f448d8cb734771700ef6fbb64f)
