Algorithmic solution of higher type equations
نویسندگان
چکیده
منابع مشابه
Algorithmic solution of higher type equations
In recent work we developed the notion of exhaustible set as a higher-type computational counter-part of the topological notion of compact set. In this paper we give applications to the computation of solutions of higher-type equations. Given a continuous functional f : X → Y and y ∈ Y , we wish to compute x ∈ X such that f(x) = y, if such an x exists. We show that if x is unique and X and Y ar...
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بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
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ژورنال
عنوان ژورنال: Journal of Logic and Computation
سال: 2011
ISSN: 0955-792X,1465-363X
DOI: 10.1093/logcom/exr048