I think Hans and I don’t watch the same game of fut because last year Manchester United barely escaped Barcelona.  In fact I would say they got a lucky break becauase in both legs I couldn’t see them put more than 5 passes together against Barcelona, they were outclassed in every department except for the lone goal, yes even Ronaldo looked like a mere amatuer against Zambrotta.

This year my predicition will be for the last 8 are Real Madrid, Barceleona, Inter Milan, Man Utd., Liverpool, Chelsea, Aletico Madrid, VillaReal.

Champions: Real Madrid

Why they have got a well oiled machine and their players are all cream.

• Numbers divisible by 2 are even and if not odd, but 0 is considered even

Prime Number – whole numbers that can be divided evenly by only themselves and 1. The exception is: 1, 0. Whats the smallest prime? 2; example: 2, 3, 5, 7, 11, 13, 17, 19, 23

Divisibility, Factors, Multiples:

• dividend/divisor = quotient
• “divide evenly” a division of 1 integer by another yeilding a remainder of 0
• If a number can be divided evenly by another number than dividend, or fist number, is said to be divisble by the divisor, the second number.
• a number that can divide another number( divisor) evenly is said to be a factor of the divisor
• product is a result of a multiplication or an expression that identifies the factors to be multiplied. product = factor * factor; 2,7 are factors of 14, 14 is a multiple of 2,7
• multiple of a number is product of that number with any integer; every number is a multiple of itself

Fractions

• Every fraction is quotient of numbers , the quantity obtained when the numerator is divided by the denominator
• We deal with base 10 number system so 82.537 = 8*10 + 2*1 + 5*1/10 + 3*1/100 + 7*1/1000
• conversion of decimal to fraction, look at how many places after the decimal and that tells you the denominator examples: 84.1 = 841/10, 9.17 = 917/100, .612 = 612/1000
• When adding or subtracting decimals, line up the decimals when you write the numbers in a vertical column
• when multiplying decimals, multiply numbers as usual, then place the decimal point in the answer according to the total number of decimal places in the numbers; example 45.1 * .3 = 13.53, because there is 1 number behind the decimal in each of the two factors( terminology goes multiplicand and multiplier )
• dividing decimals move the decimal in the divisor till it shows no decimal then move the dividend’s decimal the same number of places, adding 0′s if nessary

Averages, Ratios, Porpotions, Percentages

• average = sum of all numbers / # of elements in the set
• average is same as mean
• median the middle value in a set containing an odd number of data items, in a set containing an even number of items median is the average of the 2 middle values
• Mode is the value that appears most often in a data set.
• Ratio is a comparison of 2 numbers, can be written as a fraction like 2/3 or as 2 numbers side-by-side seperated only by a colon like 2:3
• porportions describe 2 ratios that are equal, example 5 is to 6 as 10 is to 12, 5/6=10/12
• Percent means “part of 100″, so 5% means 5 parts of 100
• 
• What percent of 80 is 5?
• Percentage Problem:
  • Quality Increases from 600 to 750, then Percent Increase is found by dividing the amount of the increase by the base quantity number and then multiply it by 100: $latex\frac{increase}{base}\times 100=?\%increase&s=4$

Rules for Power and Roots

Some Examples to be aware of, simplify the following:

Geometry

• A line can be named by a single letter or 2 points on a line
• Bisector divides a line segment into 2 equal parts
• An Angle can be named 3 ways:
  1. 
  2. 
  3. 
• A bisector of an angle divides the angle into 2 equal parts, example:
  • 
  • Which is the bisector? line C
• Acute angle > 0 degrees but less than 90 degrees
• Obtuse angle > 90 degrees but less than 180 degrees
• Straight Line is 180 degrees
• 2 angles that form a straight line are called Supplementary, the sum of 2 supplementary angles is 180 degrees
• 2 angles that form a right angle are Complementary, the sum of two complementary angles is 90 degrees
• Vertical angles are formed when 2 lines intersect, vertical angles are equal. Example:

• if 2 lines are parrallel to 3rd line then they are all parallel to eachother
• travesal line is a line that passes thru 2 or more parallel lines
• Parrallel lines cut by a traversal line form equal angles:
  1. Corresponding angles are equal
  2. Alternate interior angles are equal
  3. Same side interior & exterior angles are supplementary

• 2 lines that intersect at right angles are perpendicular
• 2 lines that are perpendicular to the same line are parallel

Triangles

• Equilateral triangles: 3 equal: sides & angles
• Isosceles triangle: has 2 equal sides , the angles opposite to the equal sides are equal.
• Right triangle: has 1 right angle, longest side is opposite the right angle called the hypotenuse, other 2 sides called legs
• The sum of the angles in a triangle is 180 degrees
• The sum of the length of any 2 sides must be greater than the length of the 3rd side
• Area = (1/2)*b*h, drawn perpendicular to the base
• Pythagoream Theorem: for right triangls only

Parallelograms and Rectangles

• parallelogram 4 sided figure in which opposite sides are parallel
• parallelogram: opposite sides & angles are equal
• rectangle: a parallelogram with right angles, diagonals of a rectangle are equal
• square: a rectangle with 4 equal sides
• A=l*w
• P=2l+2w

Circles

• tangent is a line that intersects a circle( a set of points equidistant from 1 point) at 1 point
• circumferance: distance around the circle
• arc is a portion of the circle and named for it 2 endpoints
  • the measure of the arc is the measure of its central angle, an angle whose vertex is at the center of the circle.
  • measure of the arc is done in degrees
  • length of the arc is a porportion to the circle’s circumference
• Area of circle =
• Circumference of a circle,
• Length of an Arc: where x is the measure of the arc AB, r=radius
• Approx value of is 3.14 or

Inscribed Figures

• an angle drawn inside a circle with its vertex lying on the circle is called an inscribed angle
  • the meausure of inscribed angle is half the measure of its intercepted arc, remeber that an arc is measured by its central angle( an angle whose vertex is at the center of the circle)

Solids

• A solid is a 3 dimensional figure
• Rectangular solid has 6 faces that are rectangles
• cube:
  • rectangular solid in which all edges are equal b/ all faces are squares
  • surface area of a cube of edge length “a” is latex d\ =\ \sqrt{{(x_{1}-x_{2}})^{2}\ +\ {(y_{1}-y_{2}})^{2}}&s=4$
  • Midpoint
  
  ]]> http://fmadero.wordpress.com/2007/08/29/math-notes/feed/ 0 fmadero vertangles.jpg corresangle.jpg suppleanlge.jpg http://fmadero.wordpress.com/2007/08/29/intro-stuff/ http://fmadero.wordpress.com/2007/08/29/intro-stuff/#comments Wed, 29 Aug 2007 01:15:01 +0000 fmadero http://fmadero.wordpress.com/2007/08/29/intro-stuff/ ]]> Definitions:

  Comodity: mass produced unspecialized product

  run-time system: program that provides services for running a program but is not considered to be part of an operating system

  heuristic: problem solving by experimental and especially trial-an-error methods

  pragmatics: dealing with facts and actual occurances; practical

  short-shrift: little or no attention to consideration

  Parts of Compiler:

  Scanner/Lexical Analyzer

  • 1st stage of compiling
  • takes as input a stream of characters
  • outputs a stream of words along with their syntactic categories
  • collects symbols to form words
  • applies rules to determine if each word is legal in source language

  Parser

  • primary responsibility recognize syntax
  • check if a program is a valid sentence in the syntactic programming model

  Preface:

  • Compiler Front Ends are commodity these days.
  • processors becoming performance sensitive
  • performance of compiled code depends on compiler’s ability to optimize for a specific processor and features
  • the changes above affect the way compiler is constructed

  Compilers development focuses on 2 items:

  • • optimization
    • code generation

  New hires in a compiler co. far more likely to work on a code generator on a new processor or modify an optimization pass than to work on a scanner or parser

  Motivation:

  • a compiler is a program that takes source language and translates into assembly for execution on a target architecture
  • part of this translation a compiler must:
    • determine if the program is valid
    • map an input program onto the finite resources of a target computer

    manipulate several environments

    • allocates resources
    • orchestrate behavior of run-time data structures
  • for an ouput program to have a reasnoble performance a compiler must
    • manage hardware latencies in functional units
    • predict the flow of execution and demand for memory
    • reason about the independence and dependence of different machine-level operations in the program
  • a modern compiler contains:
    • greedy heuristic searches
    • deterministic finite automata that recoginze words in input
    • fixed point algorithms that help reason about program behavior
    • simple theorem provers
    • algebraic simplifiers that try to predict the values of expressions
    • solvers for diophontine equations, Pressburger arithmetic – used to analyze: array subscripts, classic algorithsm, data stuctures such as hash tables, graph algorithms and sparse set implementations

  Balance

  • Engineering a Compiler(EAC), for use in an intro course on design and implementation of compilers
  • EAC:
    • discusses many of the problems faced by compiler people and teqniques used to solve these problems
    • material rebalanced for more coverage on optimization and code generation and less on front end, material students will need in the job market
    • focuses on best-practices techniques( used for modern commercial or research compiler):
      • static single assignment form
      • list scheduling
      • graph-coloring register allocation
    • contains info for the advance student or practicing professional
    • Advance Topics contains issues and techniques beyond the undergrad course
    • chapter 9 & 10 are more in depth than typical undergrad course

  Approach

  • Intermediate representation, a representation done without any consideration, for compiler has a deep impact on the rest of the compiler:
    • time and space
    • the ease with which different algorithms can be applied
  
  ]]> http://fmadero.wordpress.com/2007/08/29/intro-stuff/feed/ 0 fmadero http://fmadero.wordpress.com/2007/08/28/rice-it-links/ http://fmadero.wordpress.com/2007/08/28/rice-it-links/#comments Tue, 28 Aug 2007 15:34:12 +0000 fmadero http://fmadero.wordpress.com/2007/08/28/rice-it-links/ ]]> https://management.owlnet.rice.edu/swdist/ – for downloadable software
  
  ]]> http://fmadero.wordpress.com/2007/08/28/rice-it-links/feed/ 0 fmadero http://fmadero.wordpress.com/2007/08/28/notes-on-rea-gre-prep/ http://fmadero.wordpress.com/2007/08/28/notes-on-rea-gre-prep/#comments Tue, 28 Aug 2007 15:32:52 +0000 fmadero http://fmadero.wordpress.com/2007/08/28/notes-on-rea-gre-prep/ ]]> Miscelanous Notes
  • All 3 sections of the test are computer based
  • The Verbal & Quantitative sections are adaptive, difficult questions solved will increase your score more than easier questions solved
  • Analytical Writing section always comes first, Carter was once an English Graduate so he might read your papers and give you input.

  Miselenous Words

  • Articulate: characterized by the use of clear and expressive language
  • relevant: having bearing, connection with the matter at hand
  • cogent: appealing to the intelectual powers of reasoning; convincing
  • plausible: seemingly apparent, valid, likely, acceptable, credible
  • soundness: of or relating to an argument where all the premises are true and the conclusions follow from the premises
  • inexorably: relentless
  • undue: excessive

  Pro’s with Computer Based Testing

  1. Venue is quieter
  2. Offerred year around
  3. Can recieve unofficial scores for quantitive and verbal
  4. Can take the exam in the morning or afternoon
  5. Fewer questions than on the written exam

  Con’s of Computer Based Test

  1. Cannot skip questions
  2. Questions are more challenging

  Format of the GRE

  1. Analytical Writing: 1 “Present Your Prespective” task 45min, 1 “Analyze an Argument” task 30min
  2. Quantitive: 14 quantitive comparisons, 14 mathematical problems, 28 total questions, 45 min total so on average 1 minute per problem.
  3. Verbal: 10 antonyms, 7 analogiess, 7 sentance completions, 6 reading comphrension, total of 30min, 60 total questions about 30sec per each

  Sections of GRE CBT(Computer Based Test)

  Analytical Writing Sections

  1. “Present Your Perspective on an Issue”

  • 2 topics to choose from
  • express clearly a complex idea effectively
  • can address the issue from any perspective
  • support argument with relevant, cogent reasons and examples
  • construct well written/focused essay

  1. “Analyze an Argument”

  • critique an argument by finding how credible it is
  • rather than agreeing/disagreeing with it you have to examine the soundness of the argument’s claims using the evidence provided

  Quantitative

  1. Algebra: factoring, simplifying: relations, functions, equations, inequalities
  2. Arithmetic: addition, subtraction, multiplication, division performed on real numbers and radical expressions. Percents, estimations, absolute values, properties of numbers
  3. Geometry: properties of: circles, triangles, parallel lines, rectangles, and polygons. Area, volume, perimeter, angles, Pythagoream Theorem. Simple coordinate geometry, intercepts, slopes, graphing
  4. Data Analysis: descriptive statistics, interpreting data given in graphs/tables, probability, determine if there is enough info. to solve a problem, choose appropiate data for a solution

  Verbal

  1. antonyms
  2. analogies: a pair of words is given and asked to determine which among the 5 choices is most like the original pair
  3. sentence completion: recognize words or phrases best stylistically and logically complete a sentence.
  4. reading comprehension

  Scoring The GRE CBT

  • Takes approximately 2 weeks to recieve the official scores via mail.

  Studying for GRE CBT

  • Choose a time and place that works best for you and be consistent.

  GRE Tips:

  1. Use Time Wisely: check progress regularly, do not spend too much time on a single question, make educated guesses if you do not know an answer
  2. Answer Every Question
  3. Pay Particular Attention to the First Questions of Each Section: dont spend excessive amount of time on these questions but keep in mind they carry more weight than latter questions
  4. Use the “ANSWER CONFIRM” with care
  5. Plan your Essaa: make an outline
  6. Make Effective Use of Break Periods

  How to Beat the Clock:

  1. Memorize the test directions for each section of the test so you don’t waste time reading them on the day of the exam. I would say lightly skim them to make sure nothing has changed
  2. Pace Yourself: every question is worth an answer but none are worth wasting precious minutes over

  Day of the Test

  • Get a decent nights rest
  • wake up early
  • have something decent to eat
  • arrive early to avoid stress
  • before you go to the test center make sure you have: authorization voucher/admission ticket and 1 form of ID
  • YOU CAN BRING A WATCH that doesn’t have lights, bells etc..
  • YOU CANNOT BRING: calculators, rulers, or any written material
  
  ]]> http://fmadero.wordpress.com/2007/08/28/notes-on-rea-gre-prep/feed/ 0 fmadero http://fmadero.wordpress.com/2007/08/25/palo-duro-state-park/ http://fmadero.wordpress.com/2007/08/25/palo-duro-state-park/#comments Sat, 25 Aug 2007 21:57:19 +0000 fmadero http://fmadero.wordpress.com/2007/08/25/palo-duro-state-park/ ]]> Today Jhoana and I went to Palo Duro State park and wow, this is the first time I ever been to any kind of canyon.  Lots of trails for mountain biking or hiking, to bad I couldn’t becuase of the injury to my left calf during a game 2 tuesdays ago.  The park once was the home to Comanches and Kiowa tribes but as usual the U.S. moved them to reservations.  There is also the ability to do horseback riding on some trails, Jhoana did not want to go but I did.  Here is the link to the park:

  http://www.palodurocanyon.com/

  
  ]]> http://fmadero.wordpress.com/2007/08/25/palo-duro-state-park/feed/ 0 fmadero http://fmadero.wordpress.com/2007/08/24/computer-science-links/ http://fmadero.wordpress.com/2007/08/24/computer-science-links/#comments Fri, 24 Aug 2007 18:47:08 +0000 fmadero http://fmadero.wordpress.com/2007/08/24/computer-science-links/ ]]> http://en.wikipedia.org/wiki/Programming_languages - talks about programming languages, type saftey, dynamic vs static…

  http://en.wikipedia.org/wiki/Edsger_Dijkstra - a father of computer science, has a famous quote saying, “Computer Science is no more about computers than astronomy is about telescopes.” Also he backed this up by not ever really using a computer.

  http://en.wikipedia.org/wiki/Type_theory - stuff about type theory

  
  ]]> http://fmadero.wordpress.com/2007/08/24/computer-science-links/feed/ 0 fmadero http://fmadero.wordpress.com/2007/08/18/finally-finished-with-chapter-11-notes/ http://fmadero.wordpress.com/2007/08/18/finally-finished-with-chapter-11-notes/#comments Sat, 18 Aug 2007 02:52:17 +0000 fmadero http://fmadero.wordpress.com/2007/08/18/finally-finished-with-chapter-11-notes/ ]]> So today I finally feel like I am done with Chapter 11 notes and feel I have a decent grasp of it, though it would have been nice to do the problems. I also finished reading the paper my friend gave me over Multi Stage Programming but I feel I am going to have to make a few more passes before I get a better understanding of whats happening. The notation on the type system is fucking wicked I never seen anything like that it doesn’t look like BNF. I do want to make a comment about my first blog whose intention was self-teaching, I really didn’t feel it helped as much as writing in a notebook to the contrary it kind of made it the central role due to the latex issues, when I get some more chances I will try to do more but I hope it shows its value later down the road hell at least I can say I learned a squinch of latex.

  I also was able to aquire the tow hitch, wiring harness, tounge, and ball for the trailer I will put on the car to take my wife’s things to Amarillo Texas. Tommorro I begin the daunting task of connecting the wiring harness to the car, woopee that will be fun. I also have to get the hitch on but from first appearance doesn’t seem that complicated, but we will see.

  Today Jhoana was totally freaking pissed on me because I left some tupper ware in her car with food in it and it has problaly been there for like weeks if not months. Talked with Fenglin about his brother who works at Carnegie Mellon somewhere in the computer science department and says he is going to speak with him soon. I don’t expect a miracle but doesn’t hurt to try to see if I can get a chance at one of the top cs programs in the nation, wouldn’t that be so funny if I did get in.

  
  ]]> http://fmadero.wordpress.com/2007/08/18/finally-finished-with-chapter-11-notes/feed/ 0 fmadero http://fmadero.wordpress.com/2007/08/17/first-time-experience-with-wordpress-as-self-teaching-tool/ http://fmadero.wordpress.com/2007/08/17/first-time-experience-with-wordpress-as-self-teaching-tool/#comments Fri, 17 Aug 2007 02:42:24 +0000 fmadero http://fmadero.wordpress.com/2007/08/17/first-time-experience-with-wordpress-as-self-teaching-tool/ ]]> so i am about to finish some notes for a chapter in a book. so far it has been a bit of a headache and i am content it is over, but why you ask? well first thing i am a bit mifted at is wordpress insistance at always putting spaces between every lines but this is not such a big deal, what really gets me is the latex part what works what doesn’t its a bit unerving and I will try to use it as sparingly as possible. anyways i am going to start another entry for a journal i got from a friend to jot down some notes. what would be nice is an offline editor as it takes some time to repost the post, actually what should be done is offline editor or some ajax editor online this would problaly increase the speed alot.
  
  ]]> http://fmadero.wordpress.com/2007/08/17/first-time-experience-with-wordpress-as-self-teaching-tool/feed/ 0 fmadero