狗窝
发表于 2025-3-30 10:52:59
Separability,In Chap. . we saw that it is important to investigate whether an irreducible polynomial has multiple roots in an algebraic closure. This chapter clarifies this question.
富饶
发表于 2025-3-30 16:27:54
,Galois Theory (II)—The Fundamental Theorem,In this chapter, the fundamental theorem of Galois theory is stated and proven. Additionally, we prepare for application to the question of a solution formula for polynomial equations of higher degrees.
轻率看法
发表于 2025-3-30 18:50:42
Cyclotomic Fields,The cyclotomic fields, splitting fields of a polynomial of the form ., are interesting examples of fields that are well understood with the help of Galois theory. We will first consider these with an arbitrary base field, but then we will focus to the case . as the base field.
思乡病
发表于 2025-3-30 21:48:13
Finite Fields,In this chapter, we examine which finite fields exist and how they are related to each other. The answer to the latter question will be provided by Galois theory.
尖酸一点
发表于 2025-3-31 04:41:54
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无能力之人
发表于 2025-3-31 05:12:29
0302-9743 nd knowledge discovery, knowledge discovery and smart homes, smart learning environments, and visualization data analytics.978-3-642-39145-3978-3-642-39146-0Series ISSN 0302-9743 Series E-ISSN 1611-3349
investigate
发表于 2025-3-31 12:31:23
Ensemble Learning of Run-Time Prediction Models for Data-Intensive Scientific Workflowsting environments. Obtained results highlight the convenience of using ensemble models in comparison with single/standalone prediction models. Ensemble learning techniques permitted reductions of the prediction error up to 24.9% in comparison with single-model strategies.
milligram
发表于 2025-3-31 13:21:53
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Palate
发表于 2025-3-31 17:40:47
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侵略
发表于 2025-3-31 21:52:47
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