Logic and Resolution - Institute for Computing and Information
... One of the earliest formalisms for the representation of knowledge is logic. The formalism is characterized by a well-defined syntax and semantics, and provides a number of inference rules to manipulate logical formulas on the basis of their form in order to derive new knowledge. Logic has a very lo ...
... One of the earliest formalisms for the representation of knowledge is logic. The formalism is characterized by a well-defined syntax and semantics, and provides a number of inference rules to manipulate logical formulas on the basis of their form in order to derive new knowledge. Logic has a very lo ...
5-85 Pythagorean Triples
... Substitute your new triples into the Pythagorean formula. Which one works? ...
... Substitute your new triples into the Pythagorean formula. Which one works? ...
MATH 31 CLASS NOTES XII – Section 5
... Relating a geometric sequence to the geometric mean. a1 , a2 , a3 , ..., an is a geometric sequence if and only if the ratio of any 2 consecutive terms is constant. This is equivalent to saying: The 2nd of any 3 consecutive terms in a geometric sequence is the geometric mean between the first and th ...
... Relating a geometric sequence to the geometric mean. a1 , a2 , a3 , ..., an is a geometric sequence if and only if the ratio of any 2 consecutive terms is constant. This is equivalent to saying: The 2nd of any 3 consecutive terms in a geometric sequence is the geometric mean between the first and th ...
Arithmetic Sequences
... To find a specific term,say the 5th or a5, you could write out all of the terms. But what about the 100th term(or a100 )? We need to find a formula to get there directly without writing out the whole list. DISCUSS: Does a recursive formula help us solve this problem? ...
... To find a specific term,say the 5th or a5, you could write out all of the terms. But what about the 100th term(or a100 )? We need to find a formula to get there directly without writing out the whole list. DISCUSS: Does a recursive formula help us solve this problem? ...
PREDICATE LOGIC
... bound is said to be free. Later, we will see that the same variable can occur both bound and free in an expression. For this reason, it is important to also indicate the position of the variable in question. Example 1.11. Find the bound and free variables in ∀ z (P (z) ∧ Q(x)) ∨ ∃ y Q(y). Solution: ...
... bound is said to be free. Later, we will see that the same variable can occur both bound and free in an expression. For this reason, it is important to also indicate the position of the variable in question. Example 1.11. Find the bound and free variables in ∀ z (P (z) ∧ Q(x)) ∨ ∃ y Q(y). Solution: ...
A Friendly Introduction to Mathematical Logic
... this book, but some familiarity with proving things will be required. In fact, you don’t need to know very much mathematics at all to follow this text. So if you are a philosopher or a computer scientist, you should not find any of the core arguments beyond your grasp. You do, however, have to work a ...
... this book, but some familiarity with proving things will be required. In fact, you don’t need to know very much mathematics at all to follow this text. So if you are a philosopher or a computer scientist, you should not find any of the core arguments beyond your grasp. You do, however, have to work a ...
(a) f
... A useful representation of the area of a circle as a function of its radius is the algebraic formula A(r) = r2 The graph produced by a seismograph is a visual representation of the vertical acceleration function a(t) of the ground during an earthquake. As a final example, consider the function C(w ...
... A useful representation of the area of a circle as a function of its radius is the algebraic formula A(r) = r2 The graph produced by a seismograph is a visual representation of the vertical acceleration function a(t) of the ground during an earthquake. As a final example, consider the function C(w ...
WKS-Empirical formulas key
... Procedure for finding empirical formulas: You are trying to determine the subscripts for each element in the formula, so you must determine the number of moles of each element in the sample, then reduce them to their lowest while number. Follow the following process: (1) Determine mass of each eleme ...
... Procedure for finding empirical formulas: You are trying to determine the subscripts for each element in the formula, so you must determine the number of moles of each element in the sample, then reduce them to their lowest while number. Follow the following process: (1) Determine mass of each eleme ...
geometric mean - Perry Local Schools
... Similarity in Right Triangles Theorem 7-3: The altitude to the hypotenuse of a right triangle divides the triangles into two triangles that are similar to the original triangle and to each other. ...
... Similarity in Right Triangles Theorem 7-3: The altitude to the hypotenuse of a right triangle divides the triangles into two triangles that are similar to the original triangle and to each other. ...
Chemical Formulas and equations
... to determine the chemical formula 1. Write the symbols for the elements side by side. 2. Write the oxidation states of each element to the top right of the symbol. When the nonmetal is combines with a metal, the oxidation state will always be the first number (the negative one) in the list of oxidat ...
... to determine the chemical formula 1. Write the symbols for the elements side by side. 2. Write the oxidation states of each element to the top right of the symbol. When the nonmetal is combines with a metal, the oxidation state will always be the first number (the negative one) in the list of oxidat ...
A(3)
... add (d) to get the next term. There is a pattern, therefore there is a formula we can use to give use any term that we need without listing the whole sequence . An explicit formula is a function that relates each term in the sequence to the term number. ...
... add (d) to get the next term. There is a pattern, therefore there is a formula we can use to give use any term that we need without listing the whole sequence . An explicit formula is a function that relates each term in the sequence to the term number. ...
Ambiguity
Ambiguity is a type of uncertainty of meaning in which several interpretations are plausible. It is thus an attribute of any idea or statement whose intended meaning cannot be definitively resolved according to a rule or process with a finite number of steps. (The ambi- part of the name reflects an idea of ""two"" as in two meanings.)The concept of ambiguity is generally contrasted with vagueness. In ambiguity, specific and distinct interpretations are permitted (although some may not be immediately apparent), whereas with information that is vague, it is difficult to form any interpretation at the desired level of specificity.Context may play a role in resolving ambiguity. For example, the same piece of information may be ambiguous in one context and unambiguous in another.