Bernardo and Francisco, two sentinels stationed outside Elsinore Castle in Denmark, greet each other at midnight during their watch. Francisco is relieved by Bernardo. Horatio and Marcellus arrive and tell Bernardo they have come to watch with him. They have seen a ghost that resembles the late king and want to see if it appears again. At one o'clock, the ghost appears. Marcellus and Bernardo recognize it as the king but Horatio is skeptical until he sees it himself. The ghost then exits without speaking when confronted by Horatio.
The Tragedy of Hamlet, Prince of Denmark is a tragedy by William Shakespeare. Set in the Kingdom of Denmark, the play dramatizes the revenge Prince Hamlet exacts on his uncle Claudius for murdering King Hamlet, Claudius's brother and Prince Hamlet's father, and then succeeding to the throne and taking as his wife Gertrude, the old king's widow and Prince Hamlet's mother. The play vividly portrays both true and feigned madness – from overwhelming grief to seething rage – and explores themes of treachery, revenge, incest, and moral corruption.
1) The ghost of Hamlet's father appears to Hamlet and tells him he was murdered by his brother Claudius.
2) Hamlet devises a plan to test Claudius's guilt by performing a play that mirrors the murder and observes Claudius's reaction.
3) At the play, Claudius storms off in guilt and confirmation of his crime, while Ophelia drowns herself after rejecting Hamlet's love.
4) At a fencing match between Hamlet and Laertes, both are fatally wounded by a poisoned blade meant only for Hamlet, leading to the deaths of all main characters except Horatio.
This document discusses nonlinear fitting, optimization, and the DirectSearch package. It introduces nonlinear fitting and optimization and their application to biomedical data using the Michaelis-Menten model. It also describes the DirectSearch package for nonlinear optimization.
Bernardo and Francisco, two sentinels stationed outside Elsinore Castle in Denmark, greet each other at midnight during their watch. Francisco is relieved by Bernardo. Horatio and Marcellus arrive and tell Bernardo they have come to watch with him. They have seen a ghost that resembles the late king and want to see if it appears again. At one o'clock, the ghost appears. Marcellus and Bernardo recognize it as the king but Horatio is skeptical until he sees it himself. The ghost then exits without speaking when confronted by Horatio.
The Tragedy of Hamlet, Prince of Denmark is a tragedy by William Shakespeare. Set in the Kingdom of Denmark, the play dramatizes the revenge Prince Hamlet exacts on his uncle Claudius for murdering King Hamlet, Claudius's brother and Prince Hamlet's father, and then succeeding to the throne and taking as his wife Gertrude, the old king's widow and Prince Hamlet's mother. The play vividly portrays both true and feigned madness – from overwhelming grief to seething rage – and explores themes of treachery, revenge, incest, and moral corruption.
1) The ghost of Hamlet's father appears to Hamlet and tells him he was murdered by his brother Claudius.
2) Hamlet devises a plan to test Claudius's guilt by performing a play that mirrors the murder and observes Claudius's reaction.
3) At the play, Claudius storms off in guilt and confirmation of his crime, while Ophelia drowns herself after rejecting Hamlet's love.
4) At a fencing match between Hamlet and Laertes, both are fatally wounded by a poisoned blade meant only for Hamlet, leading to the deaths of all main characters except Horatio.
This document discusses nonlinear fitting, optimization, and the DirectSearch package. It introduces nonlinear fitting and optimization and their application to biomedical data using the Michaelis-Menten model. It also describes the DirectSearch package for nonlinear optimization.
This document provides tables of Laplace transforms for various functions including:
- General formulas for Laplace transforms
- Expressions involving power-law functions
- Expressions involving exponential functions
- Expressions involving hyperbolic functions
- Expressions involving logarithmic functions
For each function, the original function f(x) is provided along with its corresponding Laplace transform f(p). References for further information on Laplace transforms are also included.
The document contains tables listing formulas for inverse Laplace transforms of various functions. It includes:
1) General formulas for inverse Laplace transforms of functions with parameters like shifts or scalings.
2) Formulas for inverse transforms of rational functions involving polynomials.
3) Formulas involving square roots of polynomials.
4) More general formulas for inverse transforms of functions involving arbitrary powers. Notation for special functions like Bessel functions is also explained.
The document discusses the benefits of exercise for mental health. It states that regular exercise can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help alleviate symptoms of mental illnesses.
This document provides tables of Laplace transforms for various functions including:
- General formulas for Laplace transforms
- Expressions involving power-law functions
- Expressions involving exponential functions
- Expressions involving hyperbolic functions
- Expressions involving logarithmic functions
For each function, the original function f(x) is provided along with its corresponding Laplace transform f(p). References for further information on Laplace transforms are also included.
The document contains tables listing formulas for inverse Laplace transforms of various functions. It includes:
1) General formulas for inverse Laplace transforms of functions with parameters like shifts or scalings.
2) Formulas for inverse transforms of rational functions involving polynomials.
3) Formulas involving square roots of polynomials.
4) More general formulas for inverse transforms of functions involving arbitrary powers. Notation for special functions like Bessel functions is also explained.
The document discusses the benefits of exercise for mental health. It states that regular exercise can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help alleviate symptoms of mental illnesses.