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LaTeX: integraly, summy, proizvedeniya

Vse perechislennye ob'ekty ispol'zuyut simvoly peremennogo razmera (\int $\int$ , \sum $\sum$ , \prod $\prod$ , \oint $\oint$ , \coprod $\coprod$ ).

Predely integrirovaniya, summirovaniya i t.d. – eto indeksy, nizhnii i verhnii sootvetstvenno. Po umolchaniyu predely integrala raspolozheny sprava ot simvola, no eto mozhno izmenit' komandoi \limits (bud'te gotovy k tomu, chto v sluchae abzacnoi formuly strochki raz'edutsya eshe sil'nee). Differencial v podintegral'nom vyrazhenii luchshe otdelyat' malen'kim probelom (\,).

Vnutri abzaca	Vyklyuchnoe
<tex>$\int_a^b f(x)dx$</tex>	<tex>$$\int_a^b f(x)dx$$</tex>
$\int_a^b f(x)dx$	$\int_a^b f(x)dx$
<tex>$\int\limits_a^b f(x)dx$</tex>	<tex>$$\int\limits_a^b f(x)dx$$</tex>
$\int\limits_a^b f(x)dx$	$\int\limits_a^b f(x)dx$
<tex>$\int\limits_a^b f(x)\,dx$</tex>	<tex>$$\int\limits_a^b f(x)\,dx$$</tex>
$\int\limits_a^b f(x)\,dx$	$\int\limits_a^b f(x)\,dx$

U summ i proizvedenii indeksy v vyklyuchnoi formule po umolchaniyu raspolagayutsya nad i pod simvolom. Esli nuzhno pomestit' ih sprava, mezhdu simvolom i indeksami daite komandu \nolimits. Komanda \limits rabotaet tak zhe, kak dlya integralov.

Vnutri abzaca	Vyklyuchnoe
<tex>$\sum_{i=1}^n a_i\cdot x_i^2$</tex>	<tex>$$\sum_{i=1}^n a_i\cdot x_i^2$$</tex>
$\sum_{i=1}^n a_i\cdot x_i^2$	$\sum_{i=1}^n a_i\cdot x_i^2$
<tex>$\sum\limits_{i=1}^n a_i\cdot x_i^2$</tex>	<tex>$$\sum\nolimits_{i=1}^n a_i\cdot x_i^2$$</tex>
$\sum\limits_{i=1}^n a_i\cdot x_i^2$	$\sum\nolimits_{i=1}^n a_i\cdot x_i^2$

Malen'kii simvol integrala mozhno narisovat' komandoi \smallint $\smallint$ (iz nego mozhno sdelat' dazhe indeks: $S_\smallint$ $S_\smallint$ ).

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