We report the discovery of a new factor for each of the Fermat numbers F13, F15, F16. These new factors have 27, 33 and 27 decimal digits respectively. Each factor was found by the elliptic curve method. After division by the new factors and previously known factors, the remaining cofactors are seen to be composite numbers with 2391, 9808 and 19694 decimal digits respectively.

یکی از جذاب ترین روش های ماشینکاری مدرن، تخلیه الکتریکی است که در اواخر دهه 1960 معرفی شد. با سیم کاربردهای مختلفی دارد، جمله دقت بالا تمام مواد رسانا مانند فلزات، آلیاژهای فلزی، گرافیت و سرامیک همچنین صنایع هوافضا، خودروسازی سایر صنایع. به منظور افزایش سرعت کاهش زبری سطح عرض شکاف، پارامترهای برش بهینه نقش مهمی انتخاب خروجی دارند. این مطالعه، ورودی (دبی، مدت پالس، فرکانس سیم، کشش جریان دی الکتر...

This paper examines the impact of trade liberalization on U.S. Congressional elections. We nd that U.S. counties subject to greater competition from China via a change in U.S. trade policy exhibit relative increases in turnout, the share of votes cast for Democrats and the probability that the county is represented by a Democrat. We nd that these changes are consistent with Democrats in o ce du...

This paper discusses the measurement of production and employment effects of trade policy, and more broadly the effects of economic integration and globalization. First, it provides a broad-brush overview of the ex-post literature linking trade to performance, such as measures of worker displacement, adjustment costs, and econometric evidence on trade and wages. It then defines structural impac...

This paper infers the terms of trade effects of Free Trade Agreements (FTAs) implemented in the 1990s. We estimate large FTA effects on bilateral trade volume in 2 digit manufacturing goods from 1990-2002, using panel data gravity methods to resolve two way causality. The terms of trade changes implied by these volume effects are deduced for 40 countries plus a rest-of-the-world aggregate using...