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Flexibility method

In structural engineering, the flexibility method called the method of consistent deformations, is the traditional method for computing member forces and displacements in structural systems. Its modern version formulated in terms of the members' flexibility matrices has the name the matrix force method due to its use of member forces as the primary unknowns. Flexibility is the inverse of stiffness. For example, consider a spring that has Q and q as its force and deformation: The spring stiffness relation is Q = k q where k is the spring stiffness, its flexibility relation is q = f Q. Hence, f = 1/k. A typical member flexibility relation has the following general form: q m = f m Q m + q o m where m = member number m. Q m = vector of member's characteristic deformations. F m = member flexibility matrix which characterises the member's susceptibility to deform under forces. Q m = vector of member's independent characteristic forces; these independent forces give rise to all member-end forces by member equilibrium.

Q o m = vector of member's characteristic deformations caused by external effects applied to the isolated, disconnected member. For a system composed of many members interconnected at points called nodes, the members' flexibility relations can be put together into a single matrix equation, dropping the superscript m: q M × 1 = f M × M Q M × 1 + q M × 1 o where M is the total number of members' characteristic deformations or forces in the system. Unlike the matrix stiffness method, where the members' stiffness relations can be integrated via nodal equilibrium and compatibility conditions, the present flexibility form of equation poses serious difficulty. With member forces Q M × 1 as the primary unknowns, the number of nodal equilibrium equations is insufficient for solution, in general—unless the system is statically determinate. To resolve this difficulty, first we make use of the nodal equilibrium equations in order to reduce the number of independent unknown member forces; the nodal equilibrium equation for the system has the form: R N × 1 = b N × M Q M × 1 + W N × 1 where R N × 1: Vector of nodal forces at all N degrees of freedom of the system.

B N × M: The resulting nodal equilibrium matrix W N × 1: The vector of forces arising from loading on the members. In the case of determinate systems, matrix b is square and the solution for Q can be found from provided that the system is stable. For statically indeterminate systems, M > N, hence, we can augment with I = M-N equations of the form: X i = α Q j + β Q k +... I = 1, 2... I The vector X is the so-called vector of redundant forces and I is the degree of statical indeterminacy of the system. We choose j, k... α, β such that X i is a support reaction or an internal member-end force. With suitable choices of redundant forces, the equation system augmented by can now be solved to obtain: Q M × 1 = B R R N × 1 + B X X I × 1 + Q v ⋅ M × 1 {\displaystyle \mathbf _=\mathbf _\mathbf _+\mathbf _\mathbf _+\mathbf _\qquad \qquad \qquad \mat

Adalberto Mondesí

Raúl Adalberto Mondesí is a Dominican-American professional baseball shortstop for the Kansas City Royals of Major League Baseball. He is the first player in modern MLB history to make his debut in the World Series, doing so with the Royals in Game 3 on October 30, 2015, against the New York Mets. Mondesí signed with the Kansas City Royals on July 27, 2011, receiving a signing bonus of $2 million, he made his professional debut in 2012 with the Idaho Falls Chukars of the Rookie-level Pioneer League. He finished the season, hitting.290/.346/.386 with three home runs in 50 games. Prior to the 2013 season, Mondesí was ranked by Baseball America as the team's seventh best prospect, he played the 2013 season with the Lexington Legends of the Class A South Atlantic League. On May 27 he hit for the cycle, he finished the season hitting.261/.311/.361 with seven home runs. After the season, he was named the Class A Lexington Player of the Year by the Royals. Prior to the 2014 season, Mondesí was considered one of the top prospects in baseball.

He was ranked by Baseball America as the team's third best prospect. He was ranked by as the 38th best prospect overall. Mondesi spent the 2014 season with the Wilmington Blue Rocks of the Class A-Advanced Carolina League, played for the Peoria Javelinas of the Arizona Fall League after the regular season. In 2015, Mondesi played for the Northwest Arkansas Naturals of the Class AA Texas League, he appeared in the 2015 All-Star Futures Game. The Royals added Mondesi to their active roster for the 2015 World Series, he became the first player since Bug Holliday in 1885 to make his major league debut during a championship series, when he pinch hit during Game 3 for pitcher Danny Duffy and struck out against New York Mets pitcher Noah Syndergaard. He won his first World Series ring on November 2, 2015, when the Kansas City Royals won Game 5 over the New York Mets. Mondesi began the 2016 season in Double-A. On May 10, Mondesi was suspended 50 games after testing positive for clenbuterol, banned by Major League Baseball.

His suspension was 80 games, but was reduced due to the substance having been ingested via cold medicine. On August 16, 2016, Mondesi hit his first major league home run against Detroit Tigers pitcher Justin Verlander. Mondesi became the youngest Royal to hit a home run since Clint Hurdle in 1978. Mondesi ended the season hitting.185/.231/.281 with nine stolen bases in 47 games. Mondesi spent the majority of the 2017 season in AAA, he appeared in 25 games in batting.170 /.214 /.245 with five stolen bases. After beginning the 2018 season in the minors, Mondesi was recalled during the month of June to play shortstop regularly. In 75 games, he batted.276/.306/.498 and hit 14 home runs with 32 stolen bases. In 2019, Mondesi hit 9 home runs with 62 RBI in 102 games. Mondesí is the son of former MLB player Raúl Mondesí. Known as Adalberto when he signed with the Royals, Mondesí went by Raúl Mondesí from 2015 to 2018, he was born in Los Angeles, while his father played for the Los Angeles Dodgers. He grew up in the Dominican Republic.

List of Major League Baseball players suspended for performance-enhancing drugs Career statistics and player information from MLB, or ESPN, or Baseball-Reference, or Fangraphs, or Baseball-Reference Raul A. Mondesi on Twitter Adalberto Mondesi on Instagram

Sanno Institute of Management

The Sanno Institute of Management stylized SANNO Institute of Management, is a private university established in 1979 in Isehara, Kanagawa Prefecture Japan. It offers interdisciplinary and practical programs in the field of management and information science. SANNO consists of two divisions: the Academic and the Business Education divisions; the Academic Division has undergraduate school and junior college. The Business Education Division provides management training and consulting services for business people, it has academic programs adopting the practical knowledge and skills developed through business education and many management-consulting programs based on basic theory and academic research. SANNO is known for its management training and consulting programs covering socio-industrial fields and international affairs; the university occupies three campuses: Jiyugaoka Campus, Shonan Campus, Daikanyama Campus. SANNO is a sponsor of the Shonan Bellmare J-League soccer team. Motoki Takagi, voice actor

Victory Christian School (Tulsa, Oklahoma)

Victory Christian School is a private Christian school located in Tulsa, Oklahoma at 7700 South Lewis. The school is co-ed and a Subsidiary program of Victory Christian Center, Inc. a non-denominational Christian church in Tulsa. Victory Christian School was founded in 1979 by Pastor Billy Joe Daugherty and his wife, Pastor Sharon Daugherty. In 1989, the school moved to its current facilities at 7700 S. Lewis Ave in Tulsa, OK. In 1979, 269 students were enrolled in K-6. In 1980, grades 7-12 we added to the school, the enrollment increased to 422 for K-12. In 1995, enrollment reached 835 in K-12. Enrollment was as an all-time high in 2013 at 1254 in K-12. Since enrollment has been decreasing, is at just under 1000 students. Baseball Basketball Cheer-leading Cross Country Football Golf Soccer Tennis Track Volleyball Wrestling Baseball Basketball Cheer-leading Cross Country Football Golf Tennis Track Volleyball Art AP Art BandColor guard/Winterguard Concert Band Jazz Band Marching BandChoirOne Heart Worship BandDrama Photography Art Band Choir Academic Bowl Chess Club Robotics Robotics Victory Christian School Official Site Victory Conquerors Football Victory Christian Band Official Website Victory Conquerors Football Invictus Robotics Team

Law of Taiwan

The law of the Republic of China is based on civil law with its origins in the modern Japanese and German legal systems. The main body of laws are codified into the Six Codes: Laws are promulgated by the President after being passed by the Legislative Yuan. After Taiwan ceded to Japan in 1895, the Civil Code of Japan was created in 1896, it was influenced by the first draft of the German Civil Code and the French Civil Code. The code is divided into five books; those on family and succession retain certain vestiges of the old patriarchal family system, the basis of Japanese feudalism. It was in these sections. At that time it was considered no longer necessary or desirable to pay such homage to the past, the sections dealing with family law and succession were brought closer to European civil law; this law was applied to Taiwan. During Japanese rule, the court in the modern sense, which means the judicial power is independent from the administrative power, was created for the first time in Taiwanese history.

After the Kuomintang consolidated its rule over China in Northern Expedition, the Nationalist government succeeded in codifying all the major civil and commercial laws of China: the Criminal Code, the Code of Criminal Procedure, the Civil Code, the Code of Civil Procedure, the Insurance Law, the Company Law, the Maritime Law, the Negotiable Instruments Law, Bankruptcy Law, the Trademark Law. The laws enacted by the KMT were based on drafts formed during the late Qing dynasty. At the end of Qing Dynasty, the government has recruited some Japanese law experts to draft the law for China. Tokyo High Court judge Yoshimasa Matsuoka has drafted the first 3 Chapters of the Civil Code, as well as the Code for Civil Procedure, for the Qing Empire. Professor Koutarou Shida drafted the Commercial Law. However, before these draft bills being enacted, the Qing Empire was overthrown, with China descending into warlordism for the ensuring decade. In the area of constitutional law, the Taiwan uses the 2005 Additional Articles which amend the original 1947 Constitution.

Significant changes have been made to take into account the fact that the Government of the Republic of China only controls Taiwan and surrounding islands since the 1950s. The ROC legal system took effect in Taiwan on 25 October 1945, after most Japanese laws were repealed on 25 October 1946; the KMT-headed ROC central government moved to Taiwan in December 1949 followed by a large number of Mainlanders who accounted for about 13 percent of Taiwan's entire population. From on, Taiwan and mainland China have had its own distinct legal systems; the “Statute for Agriculture, Mining and Commerce During the Extraordinary Period” and the "Temporary Provisions Effective During the Period of General National Mobilization for the Suppression of Communist Rebellion" gave authorities the power to control resources, as well as establish political control over freedom of news, press, communication and association during wartime. The KMT terminated Martial Law in 1987 and the Period of National Mobilization came to an end on 1 May 1991.

With various constraints of the constitution lifted, legal reforms proceeded along with the continued incorporation of western legal concepts being integrated into ROC Law. Articles 35–52 of the Constitution of the Republic of China and Article 2 of the Additional Articles of the Constitution of the Republic of China state that the President shall be directly elected by the entire populace of the free area of the Republic of China, may hold office for no more than two consecutive four-year terms; the President represents the country in its foreign relations. The President has command of the armed forces. According to the Additional Articles of the Constitution of the Republic of China, the President may issue emergency orders and take all necessary measures to avert imminent danger affecting the security of the State or of the people or to cope with any serious financial or economic crisis; the President may declare the dissolution of the Legislative Yuan after consulting with its president.

Articles 53–61 of the Constitution of the Republic of China and Article 3 of the Additional Articles of the Constitution of the Republic of China state that the Executive Yuan shall be the highest administrative organ of the state, have a president, a vice president, a number of ministers and chairpersons of commissions or councils, several ministers without portfolio. The premier is appointed by the President of the Republic with the consent of the Legislative Yuan; the vice premier and chairpersons are appointed by the President on the recommendation of the premier. Articles 62–76 of the Constitution of the Republic of China and Article 4 of the Additional Articles of the Constitution of the Republic of China s