1 Logic A proposition is a statement that is either true or false. Propositions can be joined by \and\, \or\, \not\, \implies\, or \if and only if\. For each of these connective, the defini- tion and notational shorthand are given in the table below. Here A and B denote arbitrary propositions

Ladies and gentlemen: I have come to a decision which I felt I should tell you and all of my fellow American citizens, as soon as I was certain in my own mind and in my own conscience that it is the right thing to do. I have learned already in this* office that the difficult decisions always come to this desk. I must admit that many of them do not look at all the same as the hypothetical questions that I have answered f reely and perhaps too f ast on previous occasions

Yesterday, December 7th, 1941 -- a date which will live in infamy -- the United States of America was suddenly and deliberately attacked by naval and air forces of the Empire of Japan. The United States was at peace with that nation and, at the solicitation of Japan, was still in conversation with its government and its emperor looking toward the maintenance of peace in the Pacific

Mr. President, Dr. Conant, members of the Board of Overseers, Ladies and Gentlemen: I am profoundly grateful, touched by the great distinction and honor and great compliment accorded me by the authorities of Harvard this morning. I am overwhelmed, as a matter of fact, and I am rather fearful of my inability to maintain

I come to this magnificent house of worship tonight because my conscience leaves me no other choice. I join you in this meeting because I am in deepest agreement with the aims and work of the organization which has brought us together: Clergy and Laymen Concerned about Vietnam. The recent statements of your executive committee are the sentiments of my own heart, and I found myself in full accord when I read its opening lines: \A time comes when silence is betrayal.\ And that time has come for us in relation to Vietnam

On behalf of the Empire State and the family of New York, I thank you for the great privilege of being able to address this convention. Please allow me to skip the stories and the poetry and the temptation to deal in nice but vague rhetoric. Let me instead use this valuable opportunity to deal immediately with questions that should determine this election and that we all know are vital to the American people

Mr. President, Mr. Speaker, Members of the Congress of the United States: The gravity of the situation which conf ronts the world today necessitates my appearance before a joint session of the Congress. The foreign policy and the national security of this country are involved. One aspect of the present situation, which I present to you at this time for your consideration and decision, concerns Greece and Turkey. The United States has received f rom the Greek Government an urgent appeal for financial and economic assistance

Chancellor Kohl, Governing Mayor Diepgen, ladies and gentlemen: Twenty four years ago, President John F. Kennedy visited Berlin, and speaking to the people of this city and the world at the city hall. Well since then two other presidents have come, each in his turn to Berlin. And today, I, myself, make my second visit to your city

Vice President Johnson, Mr. Speaker, Mr. Chief Justice, President Eisenhower, Vice President Nixon, President Truman, Reverend Clergy, fellow citizens: We observe today not a victory of party, but a celebration of freedom -- symbolizing an end, as well as a beginning -- signifying renewal, as well as change. For I have sworn before you and Almighty God the same solemn oath our forebears prescribed nearly a century and three-quarters ago. The world is very dif ferent now. For man holds in his mortal hands the power to abolish all forms of human poverty and all forms of human life. And yet the same

Evaporation and sputter deposition [15] 1. a)In the plasma of a sputter deposition system, consider an argon atom that is ionized during a collision in the plasma. i) Express the ratio of the acceleration of the liberated electron to that of the argon ion in terms of M and m, the mass of the ion and electron; give the numerical value of this ratio, and say in which