Week 2/3
... • Loop invariants – for proving that some algorithm is correct • Three things must be showed about a loop invariant: – Initialization: It is true prior to the first iteration of the loop – Maintenance: If it is true before an iteration of the loop, it remains true before the next iteration – Termina ...
... • Loop invariants – for proving that some algorithm is correct • Three things must be showed about a loop invariant: – Initialization: It is true prior to the first iteration of the loop – Maintenance: If it is true before an iteration of the loop, it remains true before the next iteration – Termina ...
Multiplication and Division
... division where appropriate for the context divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context use written division methods in cases ...
... division where appropriate for the context divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context use written division methods in cases ...
2 Dimensional Geometry – Chapter Review
... 19. The doors in your home need to be painted. Each door measures 8 ft x 3 ft. You are amazed that you have 22 doors to paint! A can of paint can cover 400 square feet. How many cans of paint will you need to purchase? ...
... 19. The doors in your home need to be painted. Each door measures 8 ft x 3 ft. You are amazed that you have 22 doors to paint! A can of paint can cover 400 square feet. How many cans of paint will you need to purchase? ...
What every computer scientist should know about floating
... digits. The IEEE standard goes further than just requiring the use of a guard digit. It gives an algorithm for addition, subtraction, multiplication, division, and square root and requires that implementations produce the same result as that algorithm. Thus, when a program is moved from one machine ...
... digits. The IEEE standard goes further than just requiring the use of a guard digit. It gives an algorithm for addition, subtraction, multiplication, division, and square root and requires that implementations produce the same result as that algorithm. Thus, when a program is moved from one machine ...
Floating-Point Arithmetic Goldberg CS1991
... digits. The IEEE standard goes further than just requiring the use of a guard digit. It gives an algorithm for addition, subtraction, multiplication, division, and square root and requires that implementations produce the same result as that algorithm. Thus, when a program is moved from one machine ...
... digits. The IEEE standard goes further than just requiring the use of a guard digit. It gives an algorithm for addition, subtraction, multiplication, division, and square root and requires that implementations produce the same result as that algorithm. Thus, when a program is moved from one machine ...
2D Geometry: Chapter Questions 1. What are some of the
... 19. The doors in your home need to be painted. Each door measures 8 ft x 3 ft. You are amazed that you have 22 doors to paint! A can of paint can cover 400 square feet. How many cans of paint will you need to purchase? ...
... 19. The doors in your home need to be painted. Each door measures 8 ft x 3 ft. You are amazed that you have 22 doors to paint! A can of paint can cover 400 square feet. How many cans of paint will you need to purchase? ...
do ed schools prepare elementary teachers to pass this test?
... 5. The possible values for a and b must yield a number that is divisible by 3 and by 4, but that does not include a number that is also divisible by 9. The possible values for b are 0, 2, 4, 6, and 8 (since all result in a number whose last two digits are a number divisible by 4). Using the fact th ...
... 5. The possible values for a and b must yield a number that is divisible by 3 and by 4, but that does not include a number that is also divisible by 9. The possible values for b are 0, 2, 4, 6, and 8 (since all result in a number whose last two digits are a number divisible by 4). Using the fact th ...
A Formula for the Intersection Angle of Backbone Arcs with the
... For each hyperbolic line and a given hyperbolic distance, there are two equidistant curves, one on each side of the line, all of whose points are that distance from the given line. A Petrie polygon is a polygonal path of edges in a regular tessellation traversed by alternately taking the left-most a ...
... For each hyperbolic line and a given hyperbolic distance, there are two equidistant curves, one on each side of the line, all of whose points are that distance from the given line. A Petrie polygon is a polygonal path of edges in a regular tessellation traversed by alternately taking the left-most a ...
Accuracy, Precision, Percent Error, Significant
... Determine the range from lowest to highest value Divide the range by 2 to determine the spread Precision of measurement is expressed as the average value +/- the spread Smaller the spread the more accurate and precise the measurement You may have a spread that has 1 more significant ...
... Determine the range from lowest to highest value Divide the range by 2 to determine the spread Precision of measurement is expressed as the average value +/- the spread Smaller the spread the more accurate and precise the measurement You may have a spread that has 1 more significant ...
Significant Figures
... In carrying out calculations, the general rule is that the accuracy of a calculated result is limited by the least accurate measurement involved in the calculation. (1) In addition and subtraction, the result is rounded off to the last common digit occurring furthest to the right in all components. ...
... In carrying out calculations, the general rule is that the accuracy of a calculated result is limited by the least accurate measurement involved in the calculation. (1) In addition and subtraction, the result is rounded off to the last common digit occurring furthest to the right in all components. ...
File
... In essence, this policy captures effective whole-school approaches to developing securely pupils’ calculation skills, using the four operations, mental and written. It contains the key pencil and paper procedures that are to be taught throughout a Maths Makes Sense School to secure a coherent progre ...
... In essence, this policy captures effective whole-school approaches to developing securely pupils’ calculation skills, using the four operations, mental and written. It contains the key pencil and paper procedures that are to be taught throughout a Maths Makes Sense School to secure a coherent progre ...
Sail into Summer with Math! For Students Entering Investigations into Mathematics
... the three medians and the two extremes above the scale line. Draw the "box and whiskers" by drawing a box between the upper and lower quartiles and mark the median with a line inside the box. Then draw a line from each side of the box to each of the two extremes. Title your graph and the scale line. ...
... the three medians and the two extremes above the scale line. Draw the "box and whiskers" by drawing a box between the upper and lower quartiles and mark the median with a line inside the box. Then draw a line from each side of the box to each of the two extremes. Title your graph and the scale line. ...
Approximations of π
Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era (Archimedes). In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century.Further progress was made only from the 15th century (Jamshīd al-Kāshī), and early modern mathematicians reached an accuracy of 35 digits by the 18th century (Ludolph van Ceulen), and 126 digits by the 19th century (Jurij Vega), surpassing the accuracy required for any conceivable application outside of pure mathematics.The record of manual approximation of π is held by William Shanks, who calculated 527 digits correctly in the years preceding 1873. Since the mid 20th century, approximation of π has been the task of electronic digital computers; the current record (as of May 2015) is at 13.3 trillion digits, calculated in October 2014.