George Boole - ترجمة إلى إنجليزي
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George Boole - ترجمة إلى إنجليزي

ENGLISH MATHEMATICIAN, PHILOSOPHER AND LOGICIAN (1815–1864)
Boole; George Bool; George boole; Boole, George
  • Lincoln]]
  • Plaque from the house in Lincoln
  • Plaque beneath Boole's window in Lincoln Cathedral
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  • Cork]], in which Boole lived between 1849 and 1855, and where he wrote ''[[The Laws of Thought]]'' ''(Picture taken during renovation.)''
  • Bust of Boole at [[University College Cork]]
  • 5, Grenville Place in 2017 following restoration by UCC
  • Blackrock]], Cork, Ireland
  • Greyfriars, Lincoln, which housed the Mechanic's Institute
  • In modern notation, the [[free Boolean algebra]] on basic propositions ''p'' and ''q'' arranged in a [[Hasse diagram]]. The Boolean combinations make up 16 different propositions, and the lines show which are logically related.

George Boole         
n. George Boole (1815-1864), matemático y lógico inglés que desarrolló la álgebra buliana
George Marshall         
  • Gondrecourt]], France, January 17, 1918. To Bullard's left is his chief of staff, Lieutenant Colonel [[Campbell King]], while to Bullard's right is Lieutenant Colonel George C. Marshall, the assistant chief of staff for operations.
  • [[1900 VMI Keydets football team]]. Marshall circled
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  • Army [[Overseas Service Bar]]
  • Former U.S. Army Marksmanship Badge for rifle.
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  • Asiatic-Pacific Campaign Medal
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  • Colonel Marshall in France in 1919.
  • Cover of ''Together: Annals of an Army Wife'', by Katherine Tupper Marshall. Published 1946.
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  • Dodona Manor, the 19th century home and gardens of George Marshall and his wife Katherine
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  • Henry "Hap" Arnold]] in England on July 23, 1945. The two generals return the salute of the Guard of Honor formed by a detachment of [[Scots Guards]] of the British [[Brigade of Guards]].
  • State, War, and Navy Building]] in [[Washington, D.C.]], September 23, 1919. Stood directly behind Pershing is his aide, Colonel George C. Marshall.
  • Distinguished Service Medal]] on November 26, 1945.
  • Brigadier General Marshall in 1938
  • General Marshall's Grand Cross of the Legion of Honour (France)
  • Grave site of George Marshall at Arlington National Cemetery
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  • Cover to the book ''Infantry in Battle'', the World War II officer's guide to infantry combat operations. Marshall directed production of the book, which is still used as a reference today.
  • Secretary of Defense George C. Marshall discussing the Korean War with President Truman and Special Assistant to the President Averell Harriman in the Oval Office.
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  • A statue of General Marshall is unveiled at the George C. Marshall European Center for Security Studies on April 30, 1998.
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  • Mexican Border Service Medal
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  • President Roosevelt's nomination of General Marshall to be Major General. June 30, 1939.
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  • Fred Vinson]] in the [[Oval Office]] on January 21, 1947.
  • President Truman, Marshall, Secretary of State [[James F. Byrnes]], and General Arnold at the White House, August 1945
  • General Marshall's Congressional Gold Medal. Designed by [[Anthony de Francisci]] in 1946.
  • Secretary of Defense George C. Marshall in his office at The Pentagon.
  • House Appropriations Committee]]. January 15, 1948.
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  • Ribbon – QE II Coronation Medal
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  • Overseas Service Chevrons
  • General Marshall with Chiang Kai-shek and [[Zhou Enlai]] in China, 1946.
AMERICAN ARMY OFFICER AND STATESMAN (1880–1959)
George Catlett Marshall; George Catlett Marshall, Jr.; George Catlett Marshall Jr.; George Marshall Jr.; George Marshall, Jr.; Marshall, George; George c marshall; General George C. Marshall; George C. Marshall, Jr.; General Marshall; Marshall, George C.; General George Marshall; George Marshall
n. George Marshall (militar y estadista americano)
George Catlett Marshall         
  • Gondrecourt]], France, January 17, 1918. To Bullard's left is his chief of staff, Lieutenant Colonel [[Campbell King]], while to Bullard's right is Lieutenant Colonel George C. Marshall, the assistant chief of staff for operations.
  • [[1900 VMI Keydets football team]]. Marshall circled
  • 60px
  • Army [[Overseas Service Bar]]
  • Former U.S. Army Marksmanship Badge for rifle.
  • 60px
  • Asiatic-Pacific Campaign Medal
  • 60px
  • 60px
  • 60px
  • Colonel Marshall in France in 1919.
  • Cover of ''Together: Annals of an Army Wife'', by Katherine Tupper Marshall. Published 1946.
  • 60px
  • 60px
  • Dodona Manor, the 19th century home and gardens of George Marshall and his wife Katherine
  • 177x177px
  • 60px
  • Henry "Hap" Arnold]] in England on July 23, 1945. The two generals return the salute of the Guard of Honor formed by a detachment of [[Scots Guards]] of the British [[Brigade of Guards]].
  • State, War, and Navy Building]] in [[Washington, D.C.]], September 23, 1919. Stood directly behind Pershing is his aide, Colonel George C. Marshall.
  • Distinguished Service Medal]] on November 26, 1945.
  • Brigadier General Marshall in 1938
  • General Marshall's Grand Cross of the Legion of Honour (France)
  • Grave site of George Marshall at Arlington National Cemetery
  • left
  • 60px
  • Cover to the book ''Infantry in Battle'', the World War II officer's guide to infantry combat operations. Marshall directed production of the book, which is still used as a reference today.
  • Secretary of Defense George C. Marshall discussing the Korean War with President Truman and Special Assistant to the President Averell Harriman in the Oval Office.
  • 60px
  • A statue of General Marshall is unveiled at the George C. Marshall European Center for Security Studies on April 30, 1998.
  • 60px
  • Mexican Border Service Medal
  • 60px
  • President Roosevelt's nomination of General Marshall to be Major General. June 30, 1939.
  • 60px
  • 60px
  • 60px
  • 60px
  • 60px
  • 60px
  • 60px
  • 60px
  • 60px
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  • Fred Vinson]] in the [[Oval Office]] on January 21, 1947.
  • President Truman, Marshall, Secretary of State [[James F. Byrnes]], and General Arnold at the White House, August 1945
  • General Marshall's Congressional Gold Medal. Designed by [[Anthony de Francisci]] in 1946.
  • Secretary of Defense George C. Marshall in his office at The Pentagon.
  • House Appropriations Committee]]. January 15, 1948.
  • 60px
  • left
  • Ribbon – QE II Coronation Medal
  • 133px
  • 25px
  • 13px
  • 33px
  • 40px
  • 40px
  • 60px
  • 33px
  • 66px
  • 60px
  • Overseas Service Chevrons
  • General Marshall with Chiang Kai-shek and [[Zhou Enlai]] in China, 1946.
AMERICAN ARMY OFFICER AND STATESMAN (1880–1959)
George Catlett Marshall; George Catlett Marshall, Jr.; George Catlett Marshall Jr.; George Marshall Jr.; George Marshall, Jr.; Marshall, George; George c marshall; General George C. Marshall; George C. Marshall, Jr.; General Marshall; Marshall, George C.; General George Marshall; George Marshall
n. George Catlett Marshall (1880-1959), militar y estadista estadounidense, aquel que concibió el Plan Marshall, ganador del Premio Nobel de la Paz en 1953

تعريف

George Boole
<person> 1815-11-02 - 2008-05-11 22:58 best known for his contribution to symbolic logic ({Boolean Algebra}) but also active in other fields such as probability theory, algebra, analysis, and differential equations. He lived, taught, and is buried in Cork City, Ireland. The Boole library at University College Cork is named after him. For centuries philosophers have studied logic, which is orderly and precise reasoning. George Boole argued in 1847 that logic should be allied with mathematics rather than with philosophy. Demonstrating logical principles with mathematical symbols instead of words, he founded symbolic logic, a field of mathematical/philosophical study. In the new discipline he developed, known as Boolean algebra, all objects are divided into separate classes, each with a given property; each class may be described in terms of the presence or absence of the same property. An electrical circuit, for example, is either on or off. Boolean algebra has been applied in the design of binary computer circuits and telephone switching equipment. These devices make use of Boole's two-valued (presence or absence of a property) system. Born in Lincoln, Lincolnshire, UK, George Boole was the son of a tradesman and was largely self-taught. He began teaching at the age of 16 to help support his family. In his spare time he read mathematical journals and soon began to write articles for them. By the age of 29, Boole had received a gold medal for his work from the British Royal Society. His 'Mathematical Analysis of Logic', a pamphlet published in 1847, contained his first statement of the principles of symbolic logic. Two years later he was appointed professor of mathematics at Queen's College in Ireland, even though he had never studied at a university. He died in Ballintemple, Ireland, on 1864-12-08. {Compton's Encyclopedia Online (http://comptons2.aol.com/encyclopedia/ARTICLES/00619_A.html)}. (1998-11-19)

ويكيبيديا

George Boole

George Boole (; 2 November 1815 – 8 December 1864) was a largely self-taught English mathematician, philosopher, and logician, most of whose short career was spent as the first professor of mathematics at Queen's College, Cork in Ireland. He worked in the fields of differential equations and algebraic logic, and is best known as the author of The Laws of Thought (1854) which contains Boolean algebra. Boolean logic is credited with laying the foundations for the Information Age.

Boole was the son of a shoemaker. He received a primary school education and learned Latin and modern languages through various means. At 16, he began teaching to support his family. He established his own school at 19 and later ran a boarding school in Lincoln. Boole was an active member of local societies and collaborated with fellow mathematicians.

In 1849, Boole was appointed the first professor of mathematics at Queen's College, Cork (now University College Cork) in Ireland, where he met his future wife, Mary Everest. He continued his involvement in social causes and maintained connections with Lincoln. In 1864, Boole passed away due to fever-induced pleural effusion after developing pneumonia.

Boole published around 50 articles and several separate publications in his lifetime. Some of his key works include a paper on early invariant theory and "The Mathematical Analysis of Logic," which introduced symbolic logic. Boole also wrote two systematic treatises: "Treatise on Differential Equations" and "Treatise on the Calculus of Finite Differences." He contributed to the theory of linear differential equations and the study of the sum of residues of a rational function. In 1847, Boole developed Boolean algebra, a fundamental concept in binary logic, which laid the groundwork for the algebra of logic tradition. Boole also attempted to discover a general method in probabilities, focusing on determining the consequent probability of events logically connected to given probabilities. Boole developed Boolean algebra, which forms the foundation of digital circuit design and modern computer science. His work was expanded upon by various scholars, such as Charles Sanders Peirce and William Stanley Jevons. Boole's ideas later gained practical applications when Claude Shannon and Victor Shestakov employed Boolean algebra to optimize the design of electromechanical relay systems, leading to the development of modern electronic digital computers. University College Cork celebrated the 200th anniversary of Boole's birth in 2015, highlighting his significant impact on the digital age.

Boole's contributions to mathematics earned him various honors, including the Royal Society's first gold prize for mathematics, the Keith Medal, and honorary degrees from the Universities of Dublin and Oxford.