Get help from the best in academic writing.

John Forbes Nash Jr admission essay help essay writing help

John Forbes Nash Jr. (born June 13, 1928) is a mathematician who worked in game theory and differential geometry. He shared the 1994 Nobel Prize for economics with two other game theorists, Reinhard Selten and John Harsanyi. After a promising start to his mathematical career, Nash began to suffer from schizophrenia around his 30th year, an illness from which he has only recovered some 25 years later. John Nash was born in Bluefield, West Virginia as son of John Nash Sr. and Virginia Martin.

His father was an electrotechnician; his mother a language teacher. As a young boy he spent much time reading books and experimenting in his room, which he had converted into a laboratory. From June 1945-June 1948 Nash studied at the Carnegie Institute of Technology in Pittsburgh, intending to become a technical engineer like his father. Instead, he developed a deep love for mathematics and a lifelong interest in subjects such as number theory, Diophantine equations, quantum mechanics and relativity theory. He loved solving problems.

At Carnegie he became interested in the ‘negotiation problem’, which John von Neumann had left unsolved in his book The Theory of Games and Economic Behavior (1928). He participated in the game theory group there. From Pittsburgh he went to Princeton University where he worked on his equilibrium theory. He received a Ph. D. in 1950 with the dissertation Non-cooperative games. The thesis contained the definition and properties of what would later be called the Nash equilibrium; 44 years later, it would earn him the Nobel prize.

His studies on this subject led to three articles, the first entitled ‘Equilibrium Points in N-person Games’, published in the Proceedings of the National Academy of Sciences (USA) (1950), and the others in Econometrica about The Bargaining Problem (April 1950) and ‘Two-person Cooperative Games’ (January 1953). The only official economic lessons he followed were a series about international trade. In the summer of 1950 he worked at the RAND Corporation in Santa Monica, California, where he returned for shorter periods in 1952 and 1954. From 1950-1951 he taught calculus courses at Princeton, studied and managed to stay out of military service.

During this time, he proved the Nash embedding theorem, an important result in differential geometry about manifolds. In 1951-1952 he became science assistant at MIT in Cambridge, Massachusetts. At MIT, he met Alicia Lopez-Harrison de Larde, a math student from El Salvador, whom he married in February 1957. Their son, John Charles Martin (b. May 20, 1959), remained nameless for a year because Alicia, having just committed Nash to a mental hospital, felt that he should have a say in what to name the baby. As was his parents, John became a mathematician, but, like his father, he was diagnosed a paranoid schizophrenic.

Nash had another son, John David (b. June 19, 1953), by Eleanor Stier, but refused to have anything to do with them. An admitted bisexual, he carried on intimate relationships with men during this period. Although she divorced him in 1963, Alicia took him back in 1970. But, according to Sylvia Nasar’s biography of Nash, Alicia referred to him as her “boarder,” and they lived “like two distantly related individuals under one roof” until he won the Nobel Prize in 1994, then they renewed their relationship. They remarried on June 1, 2001. In 1958 John Nash began to show the first signs of his mental illness.

He became paranoid and was admitted into the McLean Hospital, April-May 1959, where he was diagnosed with ‘paranoid schizophrenia’. After a problematic stay in Paris and Geneva, Nash returned to Princeton in 1960. He remained in and out of mental hospitals until 1970, and held a research position at Brandeis University from 1965-1967. Illustrative is the 30-year publication gap between 1966 and 1996 of any scientific work. In 1978 he was awarded the John Von Neumann Theory Prize for his invention of non-cooperative equilibriums, now called Nash equilibria. Nash’s mental health improved very slowly.

His interest in mathematical problems gradually returned, and with it the ability to think logically. He also became interested in computer programming. The 1990s brought a return of his genius, though it lived in a still feeble mind. In 1994 he received the Nobel Prize in Economics as a result of his game theory work at Princeton as a graduate student. He is still hoping to score substantial scientific results. Between 1945 and 1996 John Nash published a total of 23 scientific studies, plus an autobiographical essay, ‘Les Prix Nobel’ (1994) [1] (http://www. nobel. se/economics/laureates/1994/nash-autobio. html), first published in Sweden.

A film titled A Beautiful Mind, released in December 2001 and directed by Ron Howard, dramatically portrayed some events of Nash’s life. It is (loosely) based on the biography of the same title, written by Sylvia Nasar (1999) and received four Oscars in 2002. A deleted scene from A Beautiful Mind reveals that Nash (re)invented the board game known as Hex or (at Princeton) “Nash” or “John”, as it was often played on hexagonal bathroom floor tiles. A Beautiful Mind has been criticized for its inaccurate portrayal of John Nash’s life and schizophrenia. The PBS documentary A Brilliant Madness attempts to portray his life more accurately.

create an erd

Please create in ER Assistant using crow’s foot notation using ER ASSISTANT
Prepare and submit your requirements definition document and entity relationship diagram (ERD) as two separate attachments to project step #2 assignment folder. Your requirements definition document must be submitted as a DOC/DOCX file and your ERD must be submitted using ER Assistant as an ERD file (or other supported diagramming format; see Project Learning Demonstration). Within your requirements definition document and ERD, the following minimum requirements must be met:
Requirements Definition Document Minimum Requirements:
Entity and Attribute Description (15 points)
For each entity, describe the entity itself as well as each of the attributes of the entity. You must also identify the primary key and any foreign keys. See the Project Learning Demonstration for examples of the entity and attribute descriptions. Note: if you are creating domain-specific attributes that are not common knowledge, you must provide a correspondingly more in-depth description of the entity or attribute.
Relationship and Cardinality Description (15 points)
For each relationship, describe the relationship itself, cardinality, business rules using the description format in the Project Learning Demonstration. To meet this requirement, you need only to describe the relationship that connects two entities one time.
Assumptions and Special Considerations (5 points)
This section should contain detailed descriptions of assumptions you are making about the project and any special considerations such as deviations from the lab project requirements.
Entity Relationship Diagram (ERD) Minimum Requirements:
Five Entities Minimum, Six Entities Maximum (10 points)
The purpose of the five-entity minimum, six-entity maximum is to establish a relatively small baseline for you to keep the scope of your database project constrained.
Five Attributes Minimum (10 points)
Each of your entities must have a minimum of five natural attributes which include the primary key. Foreign keys will not count towards the five-attribute minimum requirement.
Proper Relationships with Crow’s Feet Notation (20 points)
Each entity must be properly related to another using Crow’s Feet notation. Ensure that you properly denote the minimum cardinality and place the correct side of the relationship on the appropriate entity. There must be no many-to-many relationships; if these exist in your design they should be resolved before submitting project part 2.
Primary Key (5 points)
Each entity must have a primary key properly designated in your diagram that can be a natural, surrogate, or composite key.
Foreign Keys in Proper Locations (5 points)
All foreign keys should be placed on the appropriate side of the relationship according to your requirements definition documentation. Caveat: If using ER Assistant, be aware that foreign keys are derived implicitly from the relationship itself meaning that adding the foreign keys as actual attributes will result in diagram errors. Consider to add foreign key explicitly and get around the consistency check error by naming it using convention such as FK_parent_pk_col_name.
ERD Matches Requirements Definition (10 points)
Your diagram must accurately and completely translate the rules/requirements you previously outlined in the requirements definition document.
Proper Labels and Comments (5 points)
All relationships must be properly labeled with the verb or activity that they represent. From the Project Learning Demonstration, the EMPLOYEE to DEPARTMENT relationship would be labeled with ‘works’. Any other assumptions or special considerations should be placed on your ERD as comments.