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Робимо відкриття. Книга дев’ята.
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Електронної книги немає
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Доставка
Нова пошта — 60 грн
Укрпошта — від 20 грн
Оплата
При отриманні
Visa, MasterCard
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Дев’ята книга із серії «Математичні заманинки» майстра науково-популярної літератури Бориса Анастасійовича Кордемського — збірник математичних мініатюр: різноманітних цікавих есеїв та заманливих задач, які приводять до незвичайних «відкриттів» у царині як чисел, так і фігур. Усі, хто захоплюється математикою, — незалежно від віку — матимуть можливість потренувати мислення, кмітливість та винахідливість.
Придбайте комплект книг зі знижкою 20%!
Зміст
| Передмова до українського видання
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| Передмова до російського видання
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| Міні-словничок «відкриттів» первісними школярами
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| Гарантована подільність
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|
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| Шлях пізнання захоплюючий, але не встелений трояндами
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| Із чого починається «відкриття»?
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| Швидка фабрикація піфагорових тріад
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| Ану ж бо, дівчатка, ану ж бо, хлоп’ятка!
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| Чудові квартети
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|
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| Три радіуси в одній «запряжці»
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|
|
| Тільки одиниці нам і бракувало
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|
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| Несподіване споріднення трьох різних задач
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|
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| Феномени серед квадратних чисел
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|
|
| Курйози гіпотенузи
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|
|
| Дві фотографії трьох середніх
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|
|
| Гармонійна послідовність і музичні інтервали
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|
|
| Ряд із чисел, а сам — не число
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|
|
| Чотири «відкриття» в одній головоломці
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| Розв’язки
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Гарантована подільність
Шлях пізнання захоплюючий, але не встелений трояндами
Із чого починається «відкриття»?
Швидка фабрикація піфагорових тріад
Ану ж бо, дівчатка, ану ж бо, хлоп’ятка!
Чудові квартети
Три радіуси в одній «запряжці»
Тільки одиниці нам і бракувало
Несподіване споріднення трьох різних задач
Феномени серед квадратних чисел
Курйози гіпотенузи
Дві фотографії трьох середніх
Гармонійна послідовність і музичні інтервали
Ряд із чисел, а сам — не число
Чотири «відкриття» в одній головоломці
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[TEXT] => Дев’ята книга із серії «Математичні заманинки» майстра науково-популярної літератури Бориса Анастасійовича Кордемського — збірник математичних мініатюр: різноманітних цікавих есеїв та заманливих задач, які приводять до незвичайних «відкриттів» у царині як чисел, так і фігур. Усі, хто захоплюється математикою, — незалежно від віку — матимуть можливість потренувати мислення, кмітливість та винахідливість. <b><a href="https://bohdan-books.com/catalog/book/128030/">
<p style="text-align: center;">
<span style="color: #ee1d24; font-size: 12pt;">Придбайте комплект книг зі знижкою 20%!</span><span style="font-size: 12pt;"> </span>
</p>
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[TEXT] => Дев’ята книга із серії «Математичні заманинки» майстра науково-популярної літератури Бориса Анастасійовича Кордемського — збірник математичних мініатюр: різноманітних цікавих есеїв та заманливих задач, які приводять до незвичайних «відкриттів» у царині як чисел, так і фігур. Усі, хто захоплюється математикою, — незалежно від віку — матимуть можливість потренувати мислення, кмітливість та винахідливість.
Придбайте комплект книг зі знижкою 20%!
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[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Додатковий розділ
[~DEFAULT_VALUE] =>
)
[COMPLECTS] => Array
(
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[NAME] => Комплектуючі
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[XML_ID] =>
[FILE_TYPE] =>
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[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
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[SEARCHABLE] => N
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[USER_TYPE] => ElementXmlID
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[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Комплектуючі
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[PRESALE] => Array
(
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[NAME] => Передпродаж
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[SORT] => 500
[CODE] => PRESALE
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[PROPERTY_TYPE] => L
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[COL_COUNT] => 30
[LIST_TYPE] => C
[MULTIPLE] => N
[XML_ID] => PRESALE
[FILE_TYPE] =>
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[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
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[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE_ENUM_ID] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Передпродаж
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[NAME] => Планова дата видання
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[CODE] => PLANNED_RELEASE_DATE
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
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[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => PLANNED_RELEASE_DATE
[FILE_TYPE] =>
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[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
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[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Планова дата видання
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[CODE] => COLLECTION
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[PROPERTY_TYPE] => L
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[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] =>
[FILE_TYPE] =>
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[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
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[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] => Array
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[VALUE] => Array
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[DESCRIPTION] => Array
(
[0] =>
[1] =>
)
[VALUE_ENUM] => Array
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)
[VALUE_XML_ID] => Array
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[1] => 33
)
[VALUE_SORT] => Array
(
[0] => 500
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)
[VALUE_ENUM_ID] => Array
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)
[~VALUE] => Array
(
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[1] => [33] Тиждень "Класики популяризації науки"
)
[~DESCRIPTION] => Array
(
[0] =>
[1] =>
)
[~NAME] => Колекція
[~DEFAULT_VALUE] =>
)
[TRANSLATOR] => Array
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[NAME] => Перекладач
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[SORT] => 500
[CODE] => TRANSLATOR
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[PROPERTY_TYPE] => S
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[LIST_TYPE] => L
[MULTIPLE] => Y
[XML_ID] => TRANSLATOR_XML
[FILE_TYPE] =>
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[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] => ElementXmlID
[USER_TYPE_SETTINGS] =>
[HINT] =>
[PROPERTY_VALUE_ID] =>
[VALUE] =>
[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[~VALUE] =>
[~DESCRIPTION] =>
[~NAME] => Перекладач
[~DEFAULT_VALUE] =>
)
)
[DISPLAY_PROPERTIES] => Array
(
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(
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[PROPERTY_TYPE] => S
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[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => CML2_ARTICLE
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => Y
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
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[DESCRIPTION] =>
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[VALUE_XML_ID] =>
[VALUE_SORT] =>
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[~DESCRIPTION] =>
[~NAME] => ISBN
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)
[VUD_ADD] => Array
(
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[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Видавництво
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[SORT] => 500
[CODE] => VUD_ADD
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[PROPERTY_TYPE] => S
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[COL_COUNT] => 30
[LIST_TYPE] => L
[MULTIPLE] => N
[XML_ID] => VUD_ADD_XML
[FILE_TYPE] =>
[MULTIPLE_CNT] => 5
[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] => ElementXmlID
[USER_TYPE_SETTINGS] =>
[HINT] =>
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[DESCRIPTION] =>
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[VALUE_XML_ID] =>
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[~DESCRIPTION] =>
[~NAME] => Видавництво
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)
[PageAm] => Array
(
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[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
[NAME] => Кількість сторінок
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[CODE] => PageAm
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[PROPERTY_TYPE] => S
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[XML_ID] => PageAm
[FILE_TYPE] =>
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[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => Y
[IS_REQUIRED] => N
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
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[DESCRIPTION] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
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[~DESCRIPTION] =>
[~NAME] => Кількість сторінок
[~DEFAULT_VALUE] =>
[DISPLAY_VALUE] => 48
)
[CoverType] => Array
(
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[TIMESTAMP_X] => 2020-02-17 10:00:35
[IBLOCK_ID] => 73
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[CODE] => CoverType
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[PROPERTY_TYPE] => S
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[XML_ID] => CoverType
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[TMP_ID] =>
[LINK_IBLOCK_ID] =>
[WITH_DESCRIPTION] => N
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[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
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[XML_ID] => Format
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[LINK_IBLOCK_ID] =>
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[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
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[~DESCRIPTION] =>
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[PROPERTY_TYPE] => F
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[LIST_TYPE] => L
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[XML_ID] =>
[FILE_TYPE] =>
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[TMP_ID] =>
[LINK_IBLOCK_ID] => 0
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
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[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
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[VALUE_ENUM] =>
[VALUE_XML_ID] =>
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[DISPLAY_VALUE] => Завантажити
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[WIDTH] => 0
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[ORIGINAL_NAME] => 978-966-10-0699-6.pdf
[DESCRIPTION] =>
[HANDLER_ID] =>
[EXTERNAL_ID] =>
[~src] =>
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)
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[BACKGROUND_IMAGE] =>
[PRODUCT_PROPERTIES] => Array
(
)
[PRODUCT_PROPERTIES_FILL] => Array
(
)
[MORE_PHOTO] => Array
(
)
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[ACTIVE] => Y
[~ACTIVE] => Y
[GLOBAL_ACTIVE] => Y
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[SORT] => 120
[~SORT] => 120
[NAME] => 1 Навчальна література
[~NAME] => 1 Навчальна література
[PICTURE] =>
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[DESCRIPTION] =>
[~DESCRIPTION] =>
[DESCRIPTION_TYPE] => text
[~DESCRIPTION_TYPE] => text
[SEARCHABLE_CONTENT] => 1 НАВЧАЛЬНА ЛіТЕРАТУРА
[~SEARCHABLE_CONTENT] => 1 НАВЧАЛЬНА ЛіТЕРАТУРА
[CODE] =>
[~CODE] =>
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[~XML_ID] => e75e2210-520e-11df-a3fa-001517c70544
[TMP_ID] =>
[~TMP_ID] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[SOCNET_GROUP_ID] =>
[~SOCNET_GROUP_ID] =>
[LIST_PAGE_URL] =>
[~LIST_PAGE_URL] =>
[SECTION_PAGE_URL] => /catalog/8086/
[~SECTION_PAGE_URL] => /catalog/8086/
[IBLOCK_TYPE_ID] => 1c_catalog
[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_CODE] =>
[~IBLOCK_CODE] =>
[IBLOCK_EXTERNAL_ID] => 1c_catalog-c1189afa-8a35-4a9a-9335-c77f65742e0d
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[IBLOCK_SECTION_ID] =>
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[~PICTURE] =>
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[DESCRIPTION] =>
[~DESCRIPTION] =>
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[SEARCHABLE_CONTENT] => 1 ПРОДУКЦІЯ НК-Б
[~SEARCHABLE_CONTENT] => 1 ПРОДУКЦІЯ НК-Б
[CODE] => produktsiya-nk-b
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[XML_ID] => 647117f0-520d-11df-a3fa-001517c70544
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[DETAIL_PICTURE] =>
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[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_CODE] =>
[~IBLOCK_CODE] =>
[IBLOCK_EXTERNAL_ID] => 1c_catalog-c1189afa-8a35-4a9a-9335-c77f65742e0d
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[~SORT] => 120
[NAME] => 1 Навчальна література
[~NAME] => 1 Навчальна література
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[DESCRIPTION] =>
[~DESCRIPTION] =>
[DESCRIPTION_TYPE] => text
[~DESCRIPTION_TYPE] => text
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[~SEARCHABLE_CONTENT] => 1 НАВЧАЛЬНА ЛіТЕРАТУРА
[CODE] =>
[~CODE] =>
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[DETAIL_PICTURE] =>
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[SOCNET_GROUP_ID] =>
[~SOCNET_GROUP_ID] =>
[LIST_PAGE_URL] =>
[~LIST_PAGE_URL] =>
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[~SECTION_PAGE_URL] => /catalog/8086/
[IBLOCK_TYPE_ID] => 1c_catalog
[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_CODE] =>
[~IBLOCK_CODE] =>
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[IPROPERTY_VALUES] => Array
(
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[CATALOG_MEASURE_RATIO] => 1
[CATALOG_MEASURE_NAME] => шт
[~CATALOG_MEASURE_NAME] => шт
[PRICE_MATRIX] =>
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[гуртова] => Array
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[PRINT_VALUE_VAT] => 10,50 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
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[PRINT_DISCOUNT_VALUE_NOVAT] => 10,50 грн
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[PRINT_DISCOUNT_VALUE_VAT] => 10,50 грн
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[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 10.5
[ROUND_VALUE_NOVAT] => 10.5
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 120014
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[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 10.5
[PRINT_VALUE] => 10,50 грн
[UNROUND_DISCOUNT_VALUE] => 10.5
[DISCOUNT_VALUE] => 10.5
[PRINT_DISCOUNT_VALUE] => 10,50 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
)
[MIN_PRICE] => Array
(
[VALUE_NOVAT] => 10.5
[PRINT_VALUE_NOVAT] => 10,50 грн
[VALUE_VAT] => 10.5
[PRINT_VALUE_VAT] => 10,50 грн
[VATRATE_VALUE] => 0
[PRINT_VATRATE_VALUE] => 0,00 грн
[DISCOUNT_VALUE_NOVAT] => 10.5
[PRINT_DISCOUNT_VALUE_NOVAT] => 10,50 грн
[DISCOUNT_VALUE_VAT] => 10.5
[PRINT_DISCOUNT_VALUE_VAT] => 10,50 грн
[DISCOUNT_VATRATE_VALUE] => 0
[PRINT_DISCOUNT_VATRATE_VALUE] => 0,00 грн
[CURRENCY] => UAH
[ROUND_VALUE_VAT] => 10.5
[ROUND_VALUE_NOVAT] => 10.5
[ROUND_VATRATE_VALUE] => 0
[PRICE_ID] => 9
[ID] => 120014
[CAN_ACCESS] => Y
[CAN_BUY] => Y
[MIN_PRICE] => Y
[VALUE] => 10.5
[PRINT_VALUE] => 10,50 грн
[UNROUND_DISCOUNT_VALUE] => 10.5
[DISCOUNT_VALUE] => 10.5
[PRINT_DISCOUNT_VALUE] => 10,50 грн
[DISCOUNT_DIFF] => 0
[DISCOUNT_DIFF_PERCENT] => 0
[PRINT_DISCOUNT_DIFF] => 0,00 грн
)
[CAN_BUY] => 1
[~BUY_URL] => /catalog/book/103227/?IBLOCK_ID=book&SECTION_ID=103227&action=BUY&id=103227
[BUY_URL] => /catalog/book/103227/?IBLOCK_ID=book&SECTION_ID=103227&action=BUY&id=103227
[~ADD_URL] => /catalog/book/103227/?IBLOCK_ID=book&SECTION_ID=103227&action=ADD2BASKET&id=103227
[ADD_URL] => /catalog/book/103227/?IBLOCK_ID=book&SECTION_ID=103227&action=ADD2BASKET&id=103227
[LINK_URL] => link.php?PARENT_ELEMENT_ID=103227
[~SUBSCRIBE_URL] => /catalog/book/103227/?IBLOCK_ID=book&SECTION_ID=103227&action=SUBSCRIBE_PRODUCT&id=103227
[SUBSCRIBE_URL] => /catalog/book/103227/?IBLOCK_ID=book&SECTION_ID=103227&action=SUBSCRIBE_PRODUCT&id=103227
[OFFERS] => Array
(
)
[counterData] => Array
(
[item] => 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
[user_id] => Bitrix\Main\Text\JsExpression Object
(
[expression:protected] => function() {
return BX.message("USER_ID") ? BX.message("USER_ID") : 0;
}
)
[recommendation] => Bitrix\Main\Text\JsExpression Object
(
[expression:protected] => function() {
var rcmId = "";
var cookieValue = BX.getCookie("BITRIX_SM_RCM_PRODUCT_LOG");
var productId = 103227;
var cItems = [],
cItem;
if (cookieValue)
{
cItems = cookieValue.split('.');
}
var i = cItems.length;
while (i--)
{
cItem = cItems[i].split('-');
if (cItem[0] == productId)
{
rcmId = cItem[1];
break;
}
}
return rcmId;
}
)
[v] => 2
)
[AUTHOR] => Array
(
[0] => Array
(
[ID] => 104565
[~ID] => 104565
[NAME] => Кордемський Борис Анастасійович
[~NAME] => Кордемський Борис Анастасійович
[DATE_ACTIVE_FROM] =>
[~DATE_ACTIVE_FROM] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[DETAIL_PAGE_URL] => /author/104565/
[~DETAIL_PAGE_URL] => /author/104565/
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] =>
[~CODE] =>
[EXTERNAL_ID] => c4dd9144-13f1-11e0-9825-001517c70544
[~EXTERNAL_ID] => c4dd9144-13f1-11e0-9825-001517c70544
[IBLOCK_SECTION_ID] =>
[~IBLOCK_SECTION_ID] =>
[IBLOCK_TYPE_ID] => 1c_catalog
[~IBLOCK_TYPE_ID] => 1c_catalog
[IBLOCK_ID] => 83
[~IBLOCK_ID] => 83
[IBLOCK_CODE] => authors
[~IBLOCK_CODE] => authors
[IBLOCK_EXTERNAL_ID] => authors_out
[~IBLOCK_EXTERNAL_ID] => authors_out
[LID] => ua
[~LID] => ua
)
)
[COMPLECT] => N
[ALL] => Array
(
[SECTION_BOOK] => 3556
[SEC_NAME] => НАУКОВО-ПОПУЛЯРНІ ВИДАННЯ
)
[META] => Array
(
[H1] => Робимо відкриття. Книга дев’ята.
[TITLE] => Робимо відкриття. Книга дев’ята.
)
[WO] => 0
[MORE_TAB] => Array
(
[VUD_ADD] => dc4827fd-88c7-11df-88f2-001517c70544
[AUTHOR] => Array
(
[0] => c4dd9144-13f1-11e0-9825-001517c70544
)
[MORE_BOOK] =>
)
[COUNT_MORE_BOOK] =>
)
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