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Date tag: January 12 2010 5:18:5
A list has meaning if it is a function application or a special form which looks like a function application usually but is evaluated differently.
Date tag: January 12 2010 5:9:50
Semantics of a language gives meaning to a subset of legal syntatic entities. Meaning of sexprs: Atoms are numeric strings or values. Some symbols are predefined keywords of Scheme. Other symbols may or may not have depending on the particular program.
Date tag: January 12 2010 5:5:34
Syntax defines the set of legal combinations of symbols from a programming language. In scheme, a legal syntactic entity is defined to be a sexpr. A sexpr is either an atom or a list. An atom is either a numeric constant or value, a string, or a symbol. A list is a sequence of whitespace delimited sexpr surrounded by parentheses.
Date tag: January 11 2010 10:9:10
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Date tag: January 11 2010 9:20:7
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Date tag: January 11 2010 9:19:16
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Date tag: January 11 2010 9:14:43
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Date tag: January 11 2010 9:10:14
Taylor Polynomials
Date tag: January 11 2010 9:5:38
Lagrange linear interpolation formula
Date tag: January 11 2010 9:3:55
Linear Interpolation: We would think that f 3.3 should be between f 3.1 and f 3.6 . But using a cubic approximation gives something different.
Date tag: January 11 2010 8:58:36
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Date tag: January 11 2010 8:52:28
Generalized Newtons difference formula
Date tag: January 11 2010 8:47:31
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Date tag: January 11 2010 8:47:14
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Date tag: January 11 2010 8:40:25
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Date tag: January 11 2010 8:40:14
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Date tag: January 11 2010 8:35:35
Newtons Difference Formula: Use subtraction.
Date tag: January 11 2010 8:35:23
Polynomial Interpolation: Find a polynomial of degree n going through points...
Date tag: January 11 2010 8:19:5
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Date tag: January 11 2010 8:18:38
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Date tag: January 11 2010 8:14:13
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Date tag: January 11 2010 8:9:31
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Date tag: January 11 2010 8:5:4
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Date tag: January 11 2010 8:2:25
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Date tag: January 11 2010 7:57:13
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Date tag: January 11 2010 7:53:4
When proving an if and only if statement you MUST prove both directions.
Date tag: January 11 2010 7:44:34
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Date tag: January 11 2010 7:43:25
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Date tag: January 11 2010 7:39:19
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Date tag: January 11 2010 7:36:52
Very Important Fact:
Date tag: January 11 2010 6:20:54
To change the sign in any of the signed number representations, take the appropriate complement, treating the sign bit like any other. An exception is negative two to the power of n minus one in signed 2s complement its negative is too large.
Date tag: January 11 2010 6:17:28
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Date tag: January 11 2010 6:14:51
1.6 Signed Binary Numbers: Add another bit on the left . If this sign bit is 0, the number is positive. If it s 1, the number is negative.
Date tag: January 11 2010 6:10:27
We can generalize the 2s complement to the rs complement or radix complement. For either type of complement, the complement of the complement is the original number.
Date tag: January 11 2010 6:2:40
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Date tag: January 11 2010 6:2:17
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Date tag: January 11 2010 6:2:11
To subtract using the ones complement instead, just add the end carry to the result. If M is greater than or equal to N, this gives the same result as before. If M is less than N, this gives one less than the earlier result i.e. the ones complement of M minus M View page 13 in the textbook for black text on white background...
Date tag: January 11 2010 5:50:21
7 bit adder circuit
Date tag: January 11 2010 5:47:0
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Date tag: January 11 2010 5:46:49
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Date tag: January 11 2010 5:45:42
Example of subtraction in binary.
Date tag: January 11 2010 5:35:22
Binary Subtraction using 2s complement: Add the minuend M and the 2s complement of the subtraend N. Discard and end carry. If an end carry is generated, the difference M minus N is nonnegative and the result of the calculation is M minus N in binary. If no end carry is generated the difference M minus N is negative, and the result of the calculation is the 2s complement of N minus M.
Date tag: January 11 2010 5:13:43
Use linear approximation for calculating interest rates.
Date tag: January 8 2010 9:24:17
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Date tag: January 8 2010 9:19:48
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Date tag: January 8 2010 9:16:40
Polynomial Interpolation. Given some data showing n points relating x and y find a function that satisfies these points.
Date tag: January 8 2010 9:9:45
Fixed point iteration converges only when the slope of the function at x is less than one in absolute value.
Date tag: January 8 2010 9:4:6
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Date tag: January 8 2010 8:54:39
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Date tag: January 8 2010 8:49:14
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