File:Finding real part of Lamber W.png
Finding_real_part_of_Lamber_W.png (500 × 500 pixels, file size: 14 KB, MIME type: image/png)
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editDescriptionFinding real part of Lamber W.png |
فارسی: نمودار تابع با رنگ آبی نمایش دادهشدهاست. تابع دبلیوی لامبرت وارون این تابع میباشد. این وارون را با جابجا کردن نقش و یا به عبارتی تقارن نسبت به نیمساز یکچهارم اول و سوم، یعنی خط میتوان رسم کرد. توجه داشته باشید که ضابطهٔ این وارون یک تابع نیست زیرا در قسمت از دامنهاش یک عضو را به دو عضو مینگارد. در نتیجه اصطلاحا به آن تابع چندمقداره میگویند. برای تابع شدن آن باید همدامنه را محدود کنید (شبیه به کاری که برای جذر انجام میدادید). تابع چندمقدارهٔ دبلیوی لامبرت در فضای حقیقی با رنگ قرمز کشیدهشدهاست.
English: Graph of the function has been plotted by blue color. Lambert W function is defined as the inverse of this function which can be plotted by switching the roles of and , or equivalently by reflecting the graph with respect to the line . Note that Lambert W is not a function, because on part of its domain, it is sending an element of the domain to more than one number in the codomain. To make it a function, one should restrict the codomain (similar to what one does with the square root function). The graph of the multivalued function Lambert W is shown in red color. |
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Source | Own work |
Author | Hovakhshatra |
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