[Fwd: Programmirovanie]

[abramov]

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From: "Vladimir Gerdt" <gerdt@jinr.ru>
To: "abramov" <abramov@ccas.ru>
References: <000901c0cbda$58a08dc0$3e115d9f@jinr.ru> <3B2802E4.895ABDC4@ccas.ru>
Subject: Re: Programmirovanie
Date: Mon, 18 Jun 2001 13:14:58 +0400
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Дорогой Сергей!

Посылаю свою работу, доработанную в соответствии
с замечаниями рецензента. В ближайшее время я вышлю
Вам также свою рецензию на работу Кондратьевой.

Всего наилучшего, Володя

----- Original Message -----
From: "abramov" <abramov@ccas.ru>
To: "Vladimir Gerdt" <gerdt@jinr.ru>
Sent: Thursday, June 14, 2001 4:18 AM
Subject: Programmirovanie


> Дорогой Володя,
> Получен отзыв о Вашей статье:
> ---------------------------------------------------
> Понятность изложения: 4.
> Корректность (строгость) рассуждений: 4.
> Стиль изложение: 5.
> Новизна: 5.
> Насколько это интересно: 5.
> Насколько полно использованы и отражены в списке литературы результаты
> предшествующих исследований: 5.
> Рекомендации: принять после исправления ряда неточностей.
>
> Статья интересная, основной
> результат не вызывает замечаний, хотелось бы (для неискушенного
> читателя)
> более подробного вступления и, возможно, разбора некоторых примеров. К
> сожалению, есть опечатки, которые необходимо исправить.
>
> К разделу 2 (Основные определения и обозначения).
> В определении L-инволютивного делителя  (3-й абзац) "... будем
> записывать...
> "-- w заменить на v. Вообще не объясняется обозначение L(u,U). Также
> здесь
> хотелось бы видеть определение непрерывного инволютивного деления (или
> хотя
> бы объяснения условия (2), поскольку для произвольного инволютивного
> деления
> алгоритм InvolutiveMonomialBasis, видимо, может быть бесконечным).
> Раздел 3 (Алгоритм построения минимальных инволютивных базисов и его
> оптимизация).
> Абзац 2 "...Допустимость стратегии выбора продолжений, используемой на
> шаге
> 3?" В  4 абзаце "... для того, чтобы стоящийся? базис..." В 5 абзаце, на
> мой
> взгляд, уточнение "(а не инволютивному)" стоит как-то не к месту. Здесь
> же
> ",,Тем самым, строчку 13?,,," , ",,, является лесикографическим
> упорядочением... Но x1 не делит x2?."(по смыслу, наоборот). Что касается
>
> доказательства корректности замены условия (5) на (4), на мой взгляд,
> последний абзац мог бы быть более подробным, в частности, здесь можно
> пояснить, почему недостаточно перемещать только те полиномы, лидирующие
> члены которых являются кратными по инволютивному (а не обычному)
> делению.
> К разделу 4 (Заключение)
> "... доказали корректность замены условия (5)... на ослабленное (5)?".
> Следующая затем фраза, как мне кажется,  выглядет тяжеловато.
>
> -----------------------------------------------------------
> Так что, дорабатывайте.
> Всего доброго,
> --Сережа

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