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− | {| border="1" cellpadding="4" align="center" | + | <wikitex> |
− | !style="background:#efefef;"| *
| + | {{TODO|t=НЕ ОЧЕНЬ ПОНИМАЮ, ЗАЧЕМ ВООБЩЕ ЭТО УТСВЕРЖДЕНИЕ ТУТ}} |
− | !style="background:#efefef;"| <big>e</big>
| + | {{Теорема |
− | !style="background:#efefef;"| <big>a</big>
| + | |statement= |
− | !style="background:#efefef;"| <big>b</big>
| + | Если $f$ — функция ограниченной вариации ($f \in \bigvee(a, b)$), то ее можно представить в виде разности монотонно неубывающих функций ($f = f_1 - f_2$). |
− | !style="background:#efefef;"| <big>c</big>
| + | |proof= |
− | !style="background:#efefef;"| <big>d</big>
| + | Возьмем в качестве $f_1$ функцию $f_1(x) = \bigvee\limits_a^x (f)$, тогда по аддитивности она будет не убывать. |
− | !style="background:#efefef;"| <big>f</big>
| + | Определим как $f_2$ функцию $f_2(x) = f_1(x) - f(x)$. Докажем, что она монотонно не убывает. |
− | |-
| + | $a < x_1 < x_2 < b$. Надо доказать, что $f_1(x_1) - f(x_1) \le f_1(x_2) - f(x_2)$, или что $f(x_2) - f(x_1) \le f_1(x_2) - f_1(x_1) = \bigvee\limits_{x_1}^{x_2} (f)$ (используем утверждение 1). |
− | !style="background:#efefef;"| <big>e</big>
| + | Но действительно $f(x_2) - f(x_1) \le | f(x_2) - f(x_1) | \le \bigvee\limits_{x_1}^{x_2} (f)$, ч. т. д. |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| + | }} |
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− | |}
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− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>e</big> || <big>a</big> || <big>f</big> || <big>c</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>b</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>c</big> || <big>a</big> || <big>b</big> || <big>e</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>c</big> || <big>d</big> || <big>b</big> || <big>e</big> || <big>a</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>e</big> || <big>a</big> || <big>f</big> || <big>c</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>b</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>c</big> || <big>a</big> || <big>e</big> || <big>b</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>c</big> || <big>d</big> || <big>b</big> || <big>a</big> || <big>e</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>e</big> || <big>a</big> || <big>f</big> || <big>c</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big> || <big>b</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>c</big> || <big>e</big> || <big>b</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>c</big> || <big>d</big> || <big>b</big> || <big>a</big> || <big>e</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>e</big> || <big>a</big> || <big>f</big> || <big>c</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>c</big> || <big>b</big> || <big>e</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>c</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>b</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big> || <big>b</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>c</big> || <big>b</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>d</big> || <big>e</big> || <big>f</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big> || <big>b</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>d</big> || <big>c</big> || <big>a</big> || <big>e</big> || <big>b</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>d</big> || <big>e</big> || <big>f</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big> || <big>b</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>c</big> || <big>a</big> || <big>e</big> || <big>b</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>b</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>e</big> || <big>d</big> || <big>a</big> || <big>c</big> || <big>b</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big> || <big>b</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big> || <big>b</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>e</big> || <big>d</big> || <big>b</big> || <big>c</big> || <big>a</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>a</big> || <big>f</big> || <big>e</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>b</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>e</big> || <big>d</big> || <big>b</big> || <big>c</big> || <big>a</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>d</big> || <big>e</big> || <big>f</big> || <big>b</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>e</big> || <big>d</big> || <big>a</big> || <big>c</big> || <big>b</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>f</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>b</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>e</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>e</big> || <big>f</big> || <big>b</big> || <big>a</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>d</big> || <big>a</big> || <big>e</big> || <big>c</big> || <big>b</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>a</big> || <big>d</big> || <big>f</big> || <big>e</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>f</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>b</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>d</big> || <big>e</big> || <big>b</big> || <big>c</big> || <big>a</big>
| |
− | |}
| |
− | | |
− | {| border="1" cellpadding="4" align="center"
| |
− | !style="background:#efefef;"| *
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>e</big>
| |
− | | <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>a</big>
| |
− | | <big>a</big> || <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>d</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>b</big>
| |
− | | <big>b</big> || <big>c</big> || <big>d</big> || <big>e</big> || <big>f</big> || <big>a</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>c</big>
| |
− | | <big>c</big> || <big>f</big> || <big>e</big> || <big>d</big> || <big>a</big> || <big>b</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>d</big>
| |
− | | <big>d</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>c</big>
| |
− | |-
| |
− | !style="background:#efefef;"| <big>f</big>
| |
− | | <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big>
| |
− | |}
| |