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instead. In developing the analogue for the complex logarithm, there is an additional complication: the definition of the complex integral requires a choice of path. . Fortunately, if the integrand is holomorphic, then the value of the integral is unchanged by deforming the path (while holding the endpoints fixed), and in a simply connected region (a region with "no holes"), any path from to ...
The log sum inequality can be used to prove inequalities in information theory. Gibbs' inequality states that the Kullback-Leibler divergence is non-negative, and equal to zero precisely if its arguments are equal. [3] One proof uses the log sum inequality. The inequality can also prove convexity of Kullback-Leibler divergence.
The Texas Tech Red Raiders finished Kliff Kingsbury's first year at Texas Tech by losing the last 5 games of the season, finishing the rookie coach's first regular season at 7–5. Tight end Jace Amaro was also named as a Consensus All-American, the first Red Raider to be selected as such since Michael Crabtree in 2008.
The Netherlands, [j] informally Holland, is a country located in Northwestern Europe with overseas territories in the Caribbean. It is the largest of the four constituent countries of the Kingdom of the Netherlands. [13] The Netherlands consists of twelve provinces; it borders Germany to the east and Belgium to the south, with a North Sea ...
The Log Cabin Village is a 19th-century living history museum that provides a glimpse into Texas life in the 1800s. The site features staff members dressed in 19th-century-style attire and historic buildings from north and central Texas. [1] Log Cabin Village is dedicated to the preservation of 19th c. folk architecture and frontier lifeways.
A civilian killed in Kyiv following Russian missile strikes on 10 October 2022. By 24 September 2023, OHCHR had recorded 27,449 civilian casualties in Ukraine since February 24, 2022: 9,701 killed and 17,748 injured. This included 14,231 (4,287 killed and 6,324 injured) in Donetsk and Luhansk.
The Paul L. Foster School of Medicine is a medical school in El Paso, Texas at Texas Tech University Health Sciences Center El Paso. The Paul L. Foster School of Medicine is the 9th medical school in the state of Texas, and the medical school is the first one to open in almost four decades. As a result of the numerous financial donations, as ...
World War II or the Second World War (1 September 1939 – 2 September 1945) was a global conflict between two alliances: the Allies and the Axis powers. Nearly all of the world's countries, including all of the great powers, participated in the conflict, and many invested all available economic, industrial, and scientific capabilities in pursuit of total war, blurring the distinction between ...