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OTHER INTANGIBLE ASSETS, NET (Schedule of Definite-Lived Other Intangible Assets) (Details) - USD ($) $ in Thousands | Dec. 31, 2018 | Dec. 31, 2017
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Original amounts | $ 1,169,234 | $ 1,111,518
Accumulated amortization | 661,002 | 560,171
Other intangible assets, net | 508,232 | 551,347
Core Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Original amounts | 720,134 | 673,291
Accumulated amortization | 372,895 | 315,665
Customer Relationships [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Original amounts | 393,204 | 382,031
Accumulated amortization | 264,463 | 225,951
Trademark [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Original amounts | 55,896 | 56,196
Accumulated amortization | $ 23,644 | $ 18,555

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