The document presents an exhaustive list of 185 unitary amicable pairs whose smaller number is less than 108. A unitary amicable pair is a pair of integers where the sum of the unitary divisors of one number equals the other number, and vice versa. The list was generated by a computer search and includes several pairs not previously reported. It also presents a new unitary sociable set of four numbers.
This is the Basic Education Curriculum developed by the Education Department as a guide for teachers handling the subject English. Included are the COMPETENCIES that the learners must acquire in the course of the session
This document summarizes a seminar on test construction presented to faculty of BNHS-Villa Maria Annex. It discusses the importance of creating valid and reliable tests to properly evaluate student learning. Guidelines are provided for developing different test item formats, including multiple choice, true/false, matching, and essay questions. The presentation emphasizes writing clear, unambiguous questions and avoiding common pitfalls in test design to ensure tests accurately measure student understanding of course material.
The document is a grade 10 daily lesson plan on measures of position, specifically quartiles of ungrouped data. It contains the following key points:
1. The objectives are to illustrate and calculate quartiles and appreciate their use in real life.
2. Activities include demonstrating quartiles using students' heights and BMI data, calculating quartiles of tourist age data, and practice questions.
3. Quartiles (Q1, Q2, Q3) divide a data set into four equal parts, with formulas given to find their positions.
This document describes an indigenized instructional material called "Tutubong in Sungsungka" developed by Myrna O. Castañeda to teach addition and subtraction of integers to Kalanguya IP students in Math 7. The material uses leftover pieces of wood with holes representing positive, negative and zero integers and movable pointers to demonstrate the calculations. It was tested in two Grade 7 classes, with higher post-test scores observed in the class that used the indigenized material compared to the usual math module, demonstrating its effectiveness especially for slow learners.
This document outlines a test specification for a mathematics exam covering algebraic expressions. It allocates 80 minutes total and includes 30 multiple choice items testing concepts such as constants, variables, algebraic expressions, operations on monomials, polynomials, and word problems involving polynomials. The specification breaks down the time allotted, number of test items, and cognitive skill level measured for each content area.
The document describes several instructional materials for teaching mathematics concepts:
1. Grid board, modified geoboard, fraction slider, and number slider are used to teach perimeter, area, fractions, and integers.
2. Algebra tiles are used to model linear expressions, solve equations, and simplify polynomials.
3. Fraction pie relates fractions to circle circumference and parallelogram perimeter.
4. A powerpoint on perimeter and area teaches calculating these values for polygons and circles.
5. Models of the platonic solids, sphere, and archimedean solids are used to investigate their properties like surface area and volume.
mathematics 4 with complete TOS from Curriculum GuideFeiry Nasol
The document outlines the specifications for a second periodical test in mathematics IV. It includes 19 objectives to be assessed covering topics in numbers, fractions, decimals, and word problems. A total of 45 days were spent teaching the objectives. The test will contain 40 multiple choice items and 5 word problems. It will assess remembering, understanding, applying, analyzing, evaluating, and creating levels of learning. The test will be divided into two sections with Section I containing multiple choice questions and Section II containing word problems.
This is the Basic Education Curriculum developed by the Education Department as a guide for teachers handling the subject English. Included are the COMPETENCIES that the learners must acquire in the course of the session
This document summarizes a seminar on test construction presented to faculty of BNHS-Villa Maria Annex. It discusses the importance of creating valid and reliable tests to properly evaluate student learning. Guidelines are provided for developing different test item formats, including multiple choice, true/false, matching, and essay questions. The presentation emphasizes writing clear, unambiguous questions and avoiding common pitfalls in test design to ensure tests accurately measure student understanding of course material.
The document is a grade 10 daily lesson plan on measures of position, specifically quartiles of ungrouped data. It contains the following key points:
1. The objectives are to illustrate and calculate quartiles and appreciate their use in real life.
2. Activities include demonstrating quartiles using students' heights and BMI data, calculating quartiles of tourist age data, and practice questions.
3. Quartiles (Q1, Q2, Q3) divide a data set into four equal parts, with formulas given to find their positions.
This document describes an indigenized instructional material called "Tutubong in Sungsungka" developed by Myrna O. Castañeda to teach addition and subtraction of integers to Kalanguya IP students in Math 7. The material uses leftover pieces of wood with holes representing positive, negative and zero integers and movable pointers to demonstrate the calculations. It was tested in two Grade 7 classes, with higher post-test scores observed in the class that used the indigenized material compared to the usual math module, demonstrating its effectiveness especially for slow learners.
This document outlines a test specification for a mathematics exam covering algebraic expressions. It allocates 80 minutes total and includes 30 multiple choice items testing concepts such as constants, variables, algebraic expressions, operations on monomials, polynomials, and word problems involving polynomials. The specification breaks down the time allotted, number of test items, and cognitive skill level measured for each content area.
The document describes several instructional materials for teaching mathematics concepts:
1. Grid board, modified geoboard, fraction slider, and number slider are used to teach perimeter, area, fractions, and integers.
2. Algebra tiles are used to model linear expressions, solve equations, and simplify polynomials.
3. Fraction pie relates fractions to circle circumference and parallelogram perimeter.
4. A powerpoint on perimeter and area teaches calculating these values for polygons and circles.
5. Models of the platonic solids, sphere, and archimedean solids are used to investigate their properties like surface area and volume.
mathematics 4 with complete TOS from Curriculum GuideFeiry Nasol
The document outlines the specifications for a second periodical test in mathematics IV. It includes 19 objectives to be assessed covering topics in numbers, fractions, decimals, and word problems. A total of 45 days were spent teaching the objectives. The test will contain 40 multiple choice items and 5 word problems. It will assess remembering, understanding, applying, analyzing, evaluating, and creating levels of learning. The test will be divided into two sections with Section I containing multiple choice questions and Section II containing word problems.
The document provides guidance on classroom organization and instructional arrangements. It discusses arranging the classroom to limit distractions while allowing the teacher and students to easily see each other. Desks should be kept in rows or clusters to encourage on-task behavior. The document also describes different classroom seating arrangements like traditional rows, triads, and clusters and their benefits. It provides tips for organizing materials, centers, and the teacher area. Guidelines are offered for managing large and small group instruction, including maintaining an engaging pace and using signals. Suggested classroom equipment includes a whiteboard, projector, and instructional materials.
- A survey was conducted on subjects pupils like most in school, with 80 pupils participating. The pie graph shows 40% liked Mathematics, 25% liked Agriculture, 20% liked Science, and 15% liked English.
- The document provides an example problem solving the number of pupils that liked Science using the pie graph data. It gives the steps to identify facts, understand the question, plan the operation, solve using computations, and check the answer.
- The second part of the document asks multiple choice and short answer questions about a pie graph showing the population breakdown by age groups in a barangay with a total population of 33,500 people. It asks questions about specific age groups and calculates totals.
This document provides an outline for a workshop on test construction and preparation. It discusses establishing a table of specifications to guide test development and ensure a balanced assessment. The principles of constructing high-quality test questions aligned to Bloom's taxonomy are explained. Participants will have an opportunity to construct and develop test questions during a workshop session. Common student complaints about test questions are also addressed, such as questions being unrelated to lessons or unclear. Factors to consider when preparing good tests are highlighted.
Detailed Lesson plan of Product Rule for Exponent Using the Deductive MethodLorie Jane Letada
The document outlines the procedures for a lesson on the product rule for exponent-like terms with exponents. It includes the objectives, subject content, materials, and steps of the lesson. The teacher leads the students in examples of applying the product rule to simplify expressions with the same bases and adds the exponents. Students then practice applying the rule to example expressions on their own.
This lesson plan teaches students about one-fourth fractions through a series of activities. Students will learn to identify one-fourth of different sets of objects. They will play games to practice calculating one-fourth amounts. An example uses a puppet character giving different numbers of fruits to four children to demonstrate one-fourth shares. Students then role play similar scenarios and solve word problems about sharing objects into fourths. The lesson evaluates students' understanding and assigns additional practice problems.
The document discusses test construction and characteristics of good tests. It provides information on different types of tests, including multiple choice tests and true/false questions. Guidelines are presented for writing high quality test items, such as ensuring stems and alternatives are clear, concise, and avoid logical flaws. Tests should be valid, reliable, usable, and economical. Teachers who are well-trained in test construction tend to create better quality assessments.
This lesson, along with the succeeding ones, will all be about making / writing effective objective-type tests. In this presentation, the pre-service teacher will equip himself/herself with the needed knowledge to write short-answer and completion type test items.
This document discusses the responsibilities and accountability of Filipino teachers. It begins by outlining the various roles teachers take on, such as communicator, facilitator, evaluator, and counselor. It then lists the duties teachers are expected to perform, including enrolling students, implementing rules, and preparing lesson plans. The document also describes the characteristics of effective teachers and reviews the rights and privileges of teachers as outlined in the Magna Carta for Public School Teachers. It emphasizes that teaching requires hard work to become competent.
The document discusses the negative impacts of poor numeracy skills. It states that men and women with poor numeracy have less employment opportunities and are more likely to have health and social issues, even when they have strong literacy skills. While both low literacy and numeracy have impacts, low numeracy seems to have greater negative effects. It defines being numerate as using math effectively in daily life, work, and community. Numeracy is important across school subjects and is something that everyone uses in their daily lives.
This document explores patterns in polygons based on their number of points. It presents data showing that the maximum number of chords in an n-point polygon is n(n-1)/2, and the maximum number of regions is 2n-1. These formulas are supported by data from diagrams of polygons with 1 to 5 points. While the formulas have been tested against examples, they have not yet been formally proven.
The document is a detailed lesson plan for a mathematics class on permutation. It outlines the objectives, content, materials, and procedures for the lesson. The lesson will teach students about permutation rules including n!, nPr, and arrangements of distinct objects. Example problems are provided to demonstrate each rule, and students will complete activities in groups to practice the rules and verify their understanding.
Cochran's Q test is a nonparametric test used to compare dependent categorical variables across three or more conditions. It is an extension of the McNemar test for related samples. The test compares the probability of a target response across different conditions to see if treatments have identical effects. It assumes a large sample size and that blocks were randomly selected. An example uses data from pet stores to test if they are equally likely to display both reptiles (snakes and lizards) during different times of the year. The Cochran's Q test rejects the null hypothesis, finding stores were more likely to display both during Christmas than other times.
The document provides a detailed lesson plan for a 2nd grade mathematics class. The objectives are to teach dividing two-digit numbers by a one-digit number without remainder through examples and practice problems. The lesson includes reviewing concepts, working through word problems as a class, demonstrating the steps to solve problems, and having students complete group activities and a game to practice their skills. The goal is for students to understand and be able to apply the process of dividing multi-digit numbers.
This document provides an introduction to basic probability concepts. It defines key terms like experiments, outcomes, sample space, and events. It explains how to calculate probabilities using fractions, decimals, or percentages. Examples are provided on determining the probability of rolling certain numbers on a die or spinning to certain areas on a spinner. The document also covers concepts like finding the probability of compound events and solving word problems involving probabilities.
Teaching and learning framework in mathematicsCarlo Magno
This document outlines a teaching and learning framework for mathematics education. It discusses important skills like critical thinking and problem solving. It also covers key content areas and processes to develop, like numbers, measurement, geometry, and representing and communicating. Principles for both teaching and learning mathematics are provided, such as the need for active engagement and using a variety of tools. Learning theories like constructivism, cooperative learning, and discovery-based learning are also referenced. Examples of experiential and reflective learning activities are given to help students learn mathematics concepts through real-world experiences and reflection.
An independent t-test is used to compare the means of two independent groups on a continuous dependent variable. It tests if there is a statistically significant difference between the population means of the two groups. The test assumes the groups are independent, the dependent variable is normally distributed for each group, and the groups have equal variances. To perform the test, the researcher states the hypotheses, sets an alpha level, calculates the t-statistic and degrees of freedom, and determines whether to reject or fail to reject the null hypothesis by comparing the t-statistic to the critical value.
The document defines key terms related to experimental probability such as experiment, outcome, sample space, and experimental probability. It then provides examples of experiments with different outcomes and sample spaces. Students are asked to identify outcomes and sample spaces for given experiments. They are also asked to calculate experimental probabilities based on data from experiments involving selecting marbles from a bag, cards from a deck, and coin tosses.
The document analyzes the statistical processing of maximum daily rainfall data from the Huancabamba weather station from 1971-2009. It includes the monthly rainfall values in millimeters for each year. The purpose is to obtain rainfall values for return periods of 2, 5, 10, 25, 50, 100 and 500 years by statistically processing the data on maximum 24-hour rainfall.
1. This document presents geological data from borehole samples including lithology, physical properties, and geochemical characteristics.
2. The samples were taken from 7 boreholes and represent different rock formations from depths of around 1,200 to 1,300 meters.
3. Chemical analysis of the samples shows their compositions of elements like silicon, aluminum, and carbon along with isotopic ratios. Physical properties such as density and magnetic susceptibility are also reported.
The document provides guidance on classroom organization and instructional arrangements. It discusses arranging the classroom to limit distractions while allowing the teacher and students to easily see each other. Desks should be kept in rows or clusters to encourage on-task behavior. The document also describes different classroom seating arrangements like traditional rows, triads, and clusters and their benefits. It provides tips for organizing materials, centers, and the teacher area. Guidelines are offered for managing large and small group instruction, including maintaining an engaging pace and using signals. Suggested classroom equipment includes a whiteboard, projector, and instructional materials.
- A survey was conducted on subjects pupils like most in school, with 80 pupils participating. The pie graph shows 40% liked Mathematics, 25% liked Agriculture, 20% liked Science, and 15% liked English.
- The document provides an example problem solving the number of pupils that liked Science using the pie graph data. It gives the steps to identify facts, understand the question, plan the operation, solve using computations, and check the answer.
- The second part of the document asks multiple choice and short answer questions about a pie graph showing the population breakdown by age groups in a barangay with a total population of 33,500 people. It asks questions about specific age groups and calculates totals.
This document provides an outline for a workshop on test construction and preparation. It discusses establishing a table of specifications to guide test development and ensure a balanced assessment. The principles of constructing high-quality test questions aligned to Bloom's taxonomy are explained. Participants will have an opportunity to construct and develop test questions during a workshop session. Common student complaints about test questions are also addressed, such as questions being unrelated to lessons or unclear. Factors to consider when preparing good tests are highlighted.
Detailed Lesson plan of Product Rule for Exponent Using the Deductive MethodLorie Jane Letada
The document outlines the procedures for a lesson on the product rule for exponent-like terms with exponents. It includes the objectives, subject content, materials, and steps of the lesson. The teacher leads the students in examples of applying the product rule to simplify expressions with the same bases and adds the exponents. Students then practice applying the rule to example expressions on their own.
This lesson plan teaches students about one-fourth fractions through a series of activities. Students will learn to identify one-fourth of different sets of objects. They will play games to practice calculating one-fourth amounts. An example uses a puppet character giving different numbers of fruits to four children to demonstrate one-fourth shares. Students then role play similar scenarios and solve word problems about sharing objects into fourths. The lesson evaluates students' understanding and assigns additional practice problems.
The document discusses test construction and characteristics of good tests. It provides information on different types of tests, including multiple choice tests and true/false questions. Guidelines are presented for writing high quality test items, such as ensuring stems and alternatives are clear, concise, and avoid logical flaws. Tests should be valid, reliable, usable, and economical. Teachers who are well-trained in test construction tend to create better quality assessments.
This lesson, along with the succeeding ones, will all be about making / writing effective objective-type tests. In this presentation, the pre-service teacher will equip himself/herself with the needed knowledge to write short-answer and completion type test items.
This document discusses the responsibilities and accountability of Filipino teachers. It begins by outlining the various roles teachers take on, such as communicator, facilitator, evaluator, and counselor. It then lists the duties teachers are expected to perform, including enrolling students, implementing rules, and preparing lesson plans. The document also describes the characteristics of effective teachers and reviews the rights and privileges of teachers as outlined in the Magna Carta for Public School Teachers. It emphasizes that teaching requires hard work to become competent.
The document discusses the negative impacts of poor numeracy skills. It states that men and women with poor numeracy have less employment opportunities and are more likely to have health and social issues, even when they have strong literacy skills. While both low literacy and numeracy have impacts, low numeracy seems to have greater negative effects. It defines being numerate as using math effectively in daily life, work, and community. Numeracy is important across school subjects and is something that everyone uses in their daily lives.
This document explores patterns in polygons based on their number of points. It presents data showing that the maximum number of chords in an n-point polygon is n(n-1)/2, and the maximum number of regions is 2n-1. These formulas are supported by data from diagrams of polygons with 1 to 5 points. While the formulas have been tested against examples, they have not yet been formally proven.
The document is a detailed lesson plan for a mathematics class on permutation. It outlines the objectives, content, materials, and procedures for the lesson. The lesson will teach students about permutation rules including n!, nPr, and arrangements of distinct objects. Example problems are provided to demonstrate each rule, and students will complete activities in groups to practice the rules and verify their understanding.
Cochran's Q test is a nonparametric test used to compare dependent categorical variables across three or more conditions. It is an extension of the McNemar test for related samples. The test compares the probability of a target response across different conditions to see if treatments have identical effects. It assumes a large sample size and that blocks were randomly selected. An example uses data from pet stores to test if they are equally likely to display both reptiles (snakes and lizards) during different times of the year. The Cochran's Q test rejects the null hypothesis, finding stores were more likely to display both during Christmas than other times.
The document provides a detailed lesson plan for a 2nd grade mathematics class. The objectives are to teach dividing two-digit numbers by a one-digit number without remainder through examples and practice problems. The lesson includes reviewing concepts, working through word problems as a class, demonstrating the steps to solve problems, and having students complete group activities and a game to practice their skills. The goal is for students to understand and be able to apply the process of dividing multi-digit numbers.
This document provides an introduction to basic probability concepts. It defines key terms like experiments, outcomes, sample space, and events. It explains how to calculate probabilities using fractions, decimals, or percentages. Examples are provided on determining the probability of rolling certain numbers on a die or spinning to certain areas on a spinner. The document also covers concepts like finding the probability of compound events and solving word problems involving probabilities.
Teaching and learning framework in mathematicsCarlo Magno
This document outlines a teaching and learning framework for mathematics education. It discusses important skills like critical thinking and problem solving. It also covers key content areas and processes to develop, like numbers, measurement, geometry, and representing and communicating. Principles for both teaching and learning mathematics are provided, such as the need for active engagement and using a variety of tools. Learning theories like constructivism, cooperative learning, and discovery-based learning are also referenced. Examples of experiential and reflective learning activities are given to help students learn mathematics concepts through real-world experiences and reflection.
An independent t-test is used to compare the means of two independent groups on a continuous dependent variable. It tests if there is a statistically significant difference between the population means of the two groups. The test assumes the groups are independent, the dependent variable is normally distributed for each group, and the groups have equal variances. To perform the test, the researcher states the hypotheses, sets an alpha level, calculates the t-statistic and degrees of freedom, and determines whether to reject or fail to reject the null hypothesis by comparing the t-statistic to the critical value.
The document defines key terms related to experimental probability such as experiment, outcome, sample space, and experimental probability. It then provides examples of experiments with different outcomes and sample spaces. Students are asked to identify outcomes and sample spaces for given experiments. They are also asked to calculate experimental probabilities based on data from experiments involving selecting marbles from a bag, cards from a deck, and coin tosses.
The document analyzes the statistical processing of maximum daily rainfall data from the Huancabamba weather station from 1971-2009. It includes the monthly rainfall values in millimeters for each year. The purpose is to obtain rainfall values for return periods of 2, 5, 10, 25, 50, 100 and 500 years by statistically processing the data on maximum 24-hour rainfall.
1. This document presents geological data from borehole samples including lithology, physical properties, and geochemical characteristics.
2. The samples were taken from 7 boreholes and represent different rock formations from depths of around 1,200 to 1,300 meters.
3. Chemical analysis of the samples shows their compositions of elements like silicon, aluminum, and carbon along with isotopic ratios. Physical properties such as density and magnetic susceptibility are also reported.
Advanced C++ Week 1cityinfo.txtAPN 45.07 83.57 EATL.docxgalerussel59292
Advanced C++ Week 1/cityinfo.txt
APN
45.07 83.57 E
ATL
33.65 84.42 E
DCA
38.85 77.03 E
DEN
39.75 104.87 M
DFW
32.90 97.03 C
DTW
42.23 83.33 E
GRR
42.88 85.52 E
JFK
40.65 73.78 E
LAF
40.42 86.93 E
LAN
42.77 84.60 E
LAX
33.93 118.40 P
MBS
43.53 84.08 E
MIA
25.82 80.28 E
MQT
46.53 87.55 E
ORD
41.98 87.90 C
SSM
46.47 84.37 E
TVC
44.73 85.58 E
YYZ
43.67 79.63 E
Advanced C++ Week 1/datefun.cppAdvanced C++ Week 1/datefun.cpp// This file includes implementations for date functions
#include<iostream>
#include<string>
usingnamespace std;
#include"datefun.h"
//-----------------------------------------------------------------
// This function receives an integer year and returns true if the
// year is a leap year and false otherwise.
bool leapYear(int theYear)
{
if( theYear %400==0||
( theYear %4==0&& theYear %100!=0))
returntrue;
else
returnfalse;
}// end function leapYear
//-----------------------------------------------------------------
// This function receives an integer month and year and returns an
// integer of the number of days in the month. Leap years are
// considered.
intDaysInMonth(int theMonth,int theYear)
{
int days =0;
// 31 Day theMonths
if(theMonth ==1|| theMonth ==3|| theMonth ==5||
theMonth ==7|| theMonth ==8|| theMonth ==10||
theMonth ==12)
days =31;
// 30 Day theMonths
elseif(theMonth ==4|| theMonth ==6||
theMonth ==9|| theMonth ==11)
days =30;
// February
else// theMonth == 2
if( leapYear(theYear))
days =29;
else
days =28;
return days;
}// end function DaysInMonth
//-----------------------------------------------------------------
// This function receives a valid calendar date and returns the Julian
// date (the day number of the date in that year).
int julianDate(int theMonth,int theDay,int theYear)
{
int dayCnt =0;
int mon;
for(mon =1; mon < theMonth; mon++)
dayCnt +=DaysInMonth(mon,theYear);
dayCnt += theDay;
return dayCnt;
}// end function julianDate
//-----------------------------------------------------------------
// This function validates a calendar date and returns 'true' if
// all three components represent a valid date and 'false' otherwise
bool validDate(int mon,int day,int yr)
{
bool valDate =true;// Assume a good date
// Test for conditions that would make the date validity false
if(yr <1900)
valDate =false;
if((mon <1)||(mon >12)||(day <1)||(day >31))
valDate =false;
elseif(((mon ==4)||(mon ==6)||(mon ==9)||(mon ==11))&&(day ==31))
valDate =false;
elseif((mon ==2)&& leapYear(yr)&&(day >29))
valDate =false;
elseif((mon ==2)&&! leapYear(yr)&&(day >28))
valDate =false;
return valDate;
}// end function validDate
//-----------------------------------------------------------------
// This function receives a valid date and returns a date code for the
// day of the week. .
This document appears to contain demographic data and statistics for various locations listed by code (e.g. SC 102). For each entry there is a code, population total, number of births, crude birth rate (per 1000), and population growth rate. The document also includes some demographic terms in another language defined.
Electron impact excitation of H-like, He-like and Li-like ions with Z ≤ 30AstroAtom
The document describes energy levels, radiative rates, and collision strengths for electron impact excitation of hydrogen-like, helium-like, and lithium-like ions with atomic numbers Z ≤ 30. It provides tables of calculated energy levels from various structure codes and compares them to experimental values from NIST. It also lists applications of these data to astrophysical, solar, lasing, and fusion plasmas and describes common structure and scattering codes used to perform the calculations.
This document provides specifications for various drill collar sizes including their outside diameter, bore diameter, body to shaft ratio, round number, and mechanical properties. It lists over 20 drill collar sizes ranging from 3 1/8 inches to 11 inches in outside diameter. The materials are specified as AISI4145HM and DNM110 and the types are slick or spiral. Mechanical properties include minimum tensile strength, yield strength, elongation, impact value, and hardness.
The F distribution is a statistical distribution that is used to compare variances. It has a minimum value of 0 but no maximum value. The shape of the distribution depends on the degrees of freedom, with smaller degrees of freedom resulting in a more spread out distribution. Tables of critical F values are provided for different significance levels (0.10, 0.05, 0.01) and combinations of degrees of freedom in the numerator and denominator. These tables allow users to determine the critical F value for a given significance level and degrees of freedom.
The document contains numeric data and descriptions of basic R functions for vectors, matrices, arrays, lists, factors, and data frames. It introduces common operations like addition, subtraction, multiplication, division, exponents, and logarithms. Functions covered include mode(), is.(), '<-', c(), rep(), seq(), length(), and help(). Examples are provided to demonstrate how to use these functions to perform operations on and retrieve elements from vectors and sequences.
- The document is a temperature conversion table that lists Celsius and Fahrenheit temperatures from -40°C to +165°C.
- It also includes information on non-freezing cold injury (NFCI), noting that it has an insidious onset, can be difficult to recognize and treat, and causes significant health issues for both military personnel and civilians working in cold conditions.
- To help reduce cases of NFCI, the document emphasizes the importance of recognizing those at risk, limiting their cold exposure, and using appropriate protective equipment in cold environments.
Comparison between training function trainbfg and trainbr in modeling of neur...iaemedu
This document compares two training functions, TRAINBFG and TRAINBR, for modeling a neural network to predict the specific heat capacity of a working fluid (LiBr-H2O) used in vapor absorption refrigeration systems. The neural network model contains one input layer with two nodes (vapor quality and temperature), one hidden layer, and one output layer (specific heat capacity). Both training functions are evaluated based on error metrics like relative error and root mean square error. The results and discussion section will analyze which training function produces the best neural network model for this prediction task based on the error analysis.
Comparison between training function trainbfg and trainbr in modeling of neur...iaemedu
The document compares two training functions, TRAINBFG and TRAINBR, for modeling a neural network to predict the specific heat capacity of a working fluid (LiBr-H2O) used in vapor absorption refrigeration systems. An artificial neural network with one input layer, one hidden layer, and one output layer was created. The network was trained using both training functions and the results were compared based on error metrics. The goal was to determine which training function provides better predictions and helps researchers choose the optimal training function for modeling neural networks for energy or exergy analysis of vapor absorption refrigeration systems.
This document outlines international student fees for various programs at a post-secondary institution. It provides the program name, code, level, total fees per term which include tuition, student support fees, recreation fees, health plans and other ancillary costs. Program specific fees are also listed for some programs. Fees range from around $2,500 to over $13,000 per term depending on the program. Over 50 programs and their associated fees per term are detailed in the table.
Solutions manual for business math 10th edition by cleavesCooKi5472
Full clear download(no error formatting) at: https://goo.gl/sbq3Di
business math 10th edition pdf
business math brief 10th edition
business mathematics cleaves
business math 9th edition pdf
answers to business math questions
business math book answers
The document describes a method for determining the load capacity of a crane or its components based on configuration, operating parameters, and state variables. Maximum bearing loads are calculated using predetermined formulas and verified against stored load value data. Graphs and tables show example load curves for booms and superstructures of different radii under various configurations that are used to calculate 3D bearing load volumes.
The document contains tabular data with measurements of x and y coordinates across multiple tables. Each table contains between 10-20 rows of paired x and y values. The data appears to be scientific or experimental in nature, recording coordinate point measurements in various data sets or experiments.
This document provides details of a proposed development project consisting of two 31-level residential tower blocks above a 7-level podium with two basement levels. It includes schedules of the areas for each level of the basement, podium, Tower A and Tower B. The total number of residential units proposed is 404 across all levels of the two towers.
1. The document discusses population statistics and demographics for a particular location. It provides total population figures and breaks down the population into various age groups.
2. Several programs and services are mentioned that cater to different age brackets. Funding amounts for these programs are also included.
3. Assessment rubrics are outlined for evaluating various initiatives. Scoring ranges and criteria for different performance levels are described.
This document contains tables of critical values for various statistical tests including the z-distribution, t-distribution, chi-square distribution, and F-distribution. The z-distribution table lists critical values for the z-test across different levels of significance. Similarly, the other tables provide critical values for t-tests, chi-square tests, ANOVA, and other statistical analyses across different degrees of freedom and significance levels.
This document summarizes the results of a corn hybrid trial conducted in Francesville, IN in 2011. Twenty-seven hybrids were planted and evaluated for traits such as yield, moisture, test weight, and lodging. The top yielding hybrid was VYP315 with 5,476 pounds per acre. Other top performers were VYP313, AP6003, AP8202, and AG802. The trial provides a comparison of hybrid performance under the growing conditions experienced in 2011.
Data bank Aymanam village part - Aymanam Grama Panchayth - Paddy & etland Act - Solve your land problems James Joseph Adhikarathil our land consultant call 9447464502
Similar to Amicable numbers from 1 to 100000000 (20)
Climate Impact of Software Testing at Nordic Testing DaysKari Kakkonen
My slides at Nordic Testing Days 6.6.2024
Climate impact / sustainability of software testing discussed on the talk. ICT and testing must carry their part of global responsibility to help with the climat warming. We can minimize the carbon footprint but we can also have a carbon handprint, a positive impact on the climate. Quality characteristics can be added with sustainability, and then measured continuously. Test environments can be used less, and in smaller scale and on demand. Test techniques can be used in optimizing or minimizing number of tests. Test automation can be used to speed up testing.
Essentials of Automations: The Art of Triggers and Actions in FMESafe Software
In this second installment of our Essentials of Automations webinar series, we’ll explore the landscape of triggers and actions, guiding you through the nuances of authoring and adapting workspaces for seamless automations. Gain an understanding of the full spectrum of triggers and actions available in FME, empowering you to enhance your workspaces for efficient automation.
We’ll kick things off by showcasing the most commonly used event-based triggers, introducing you to various automation workflows like manual triggers, schedules, directory watchers, and more. Plus, see how these elements play out in real scenarios.
Whether you’re tweaking your current setup or building from the ground up, this session will arm you with the tools and insights needed to transform your FME usage into a powerhouse of productivity. Join us to discover effective strategies that simplify complex processes, enhancing your productivity and transforming your data management practices with FME. Let’s turn complexity into clarity and make your workspaces work wonders!
Communications Mining Series - Zero to Hero - Session 1DianaGray10
This session provides introduction to UiPath Communication Mining, importance and platform overview. You will acquire a good understand of the phases in Communication Mining as we go over the platform with you. Topics covered:
• Communication Mining Overview
• Why is it important?
• How can it help today’s business and the benefits
• Phases in Communication Mining
• Demo on Platform overview
• Q/A
Unlock the Future of Search with MongoDB Atlas_ Vector Search Unleashed.pdfMalak Abu Hammad
Discover how MongoDB Atlas and vector search technology can revolutionize your application's search capabilities. This comprehensive presentation covers:
* What is Vector Search?
* Importance and benefits of vector search
* Practical use cases across various industries
* Step-by-step implementation guide
* Live demos with code snippets
* Enhancing LLM capabilities with vector search
* Best practices and optimization strategies
Perfect for developers, AI enthusiasts, and tech leaders. Learn how to leverage MongoDB Atlas to deliver highly relevant, context-aware search results, transforming your data retrieval process. Stay ahead in tech innovation and maximize the potential of your applications.
#MongoDB #VectorSearch #AI #SemanticSearch #TechInnovation #DataScience #LLM #MachineLearning #SearchTechnology
TrustArc Webinar - 2024 Global Privacy SurveyTrustArc
How does your privacy program stack up against your peers? What challenges are privacy teams tackling and prioritizing in 2024?
In the fifth annual Global Privacy Benchmarks Survey, we asked over 1,800 global privacy professionals and business executives to share their perspectives on the current state of privacy inside and outside of their organizations. This year’s report focused on emerging areas of importance for privacy and compliance professionals, including considerations and implications of Artificial Intelligence (AI) technologies, building brand trust, and different approaches for achieving higher privacy competence scores.
See how organizational priorities and strategic approaches to data security and privacy are evolving around the globe.
This webinar will review:
- The top 10 privacy insights from the fifth annual Global Privacy Benchmarks Survey
- The top challenges for privacy leaders, practitioners, and organizations in 2024
- Key themes to consider in developing and maintaining your privacy program
Goodbye Windows 11: Make Way for Nitrux Linux 3.5.0!SOFTTECHHUB
As the digital landscape continually evolves, operating systems play a critical role in shaping user experiences and productivity. The launch of Nitrux Linux 3.5.0 marks a significant milestone, offering a robust alternative to traditional systems such as Windows 11. This article delves into the essence of Nitrux Linux 3.5.0, exploring its unique features, advantages, and how it stands as a compelling choice for both casual users and tech enthusiasts.
Full-RAG: A modern architecture for hyper-personalizationZilliz
Mike Del Balso, CEO & Co-Founder at Tecton, presents "Full RAG," a novel approach to AI recommendation systems, aiming to push beyond the limitations of traditional models through a deep integration of contextual insights and real-time data, leveraging the Retrieval-Augmented Generation architecture. This talk will outline Full RAG's potential to significantly enhance personalization, address engineering challenges such as data management and model training, and introduce data enrichment with reranking as a key solution. Attendees will gain crucial insights into the importance of hyperpersonalization in AI, the capabilities of Full RAG for advanced personalization, and strategies for managing complex data integrations for deploying cutting-edge AI solutions.
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...SOFTTECHHUB
The choice of an operating system plays a pivotal role in shaping our computing experience. For decades, Microsoft's Windows has dominated the market, offering a familiar and widely adopted platform for personal and professional use. However, as technological advancements continue to push the boundaries of innovation, alternative operating systems have emerged, challenging the status quo and offering users a fresh perspective on computing.
One such alternative that has garnered significant attention and acclaim is Nitrux Linux 3.5.0, a sleek, powerful, and user-friendly Linux distribution that promises to redefine the way we interact with our devices. With its focus on performance, security, and customization, Nitrux Linux presents a compelling case for those seeking to break free from the constraints of proprietary software and embrace the freedom and flexibility of open-source computing.
In the rapidly evolving landscape of technologies, XML continues to play a vital role in structuring, storing, and transporting data across diverse systems. The recent advancements in artificial intelligence (AI) present new methodologies for enhancing XML development workflows, introducing efficiency, automation, and intelligent capabilities. This presentation will outline the scope and perspective of utilizing AI in XML development. The potential benefits and the possible pitfalls will be highlighted, providing a balanced view of the subject.
We will explore the capabilities of AI in understanding XML markup languages and autonomously creating structured XML content. Additionally, we will examine the capacity of AI to enrich plain text with appropriate XML markup. Practical examples and methodological guidelines will be provided to elucidate how AI can be effectively prompted to interpret and generate accurate XML markup.
Further emphasis will be placed on the role of AI in developing XSLT, or schemas such as XSD and Schematron. We will address the techniques and strategies adopted to create prompts for generating code, explaining code, or refactoring the code, and the results achieved.
The discussion will extend to how AI can be used to transform XML content. In particular, the focus will be on the use of AI XPath extension functions in XSLT, Schematron, Schematron Quick Fixes, or for XML content refactoring.
The presentation aims to deliver a comprehensive overview of AI usage in XML development, providing attendees with the necessary knowledge to make informed decisions. Whether you’re at the early stages of adopting AI or considering integrating it in advanced XML development, this presentation will cover all levels of expertise.
By highlighting the potential advantages and challenges of integrating AI with XML development tools and languages, the presentation seeks to inspire thoughtful conversation around the future of XML development. We’ll not only delve into the technical aspects of AI-powered XML development but also discuss practical implications and possible future directions.
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdfPaige Cruz
Monitoring and observability aren’t traditionally found in software curriculums and many of us cobble this knowledge together from whatever vendor or ecosystem we were first introduced to and whatever is a part of your current company’s observability stack.
While the dev and ops silo continues to crumble….many organizations still relegate monitoring & observability as the purview of ops, infra and SRE teams. This is a mistake - achieving a highly observable system requires collaboration up and down the stack.
I, a former op, would like to extend an invitation to all application developers to join the observability party will share these foundational concepts to build on:
HCL Notes und Domino Lizenzkostenreduzierung in der Welt von DLAUpanagenda
Webinar Recording: https://www.panagenda.com/webinars/hcl-notes-und-domino-lizenzkostenreduzierung-in-der-welt-von-dlau/
DLAU und die Lizenzen nach dem CCB- und CCX-Modell sind für viele in der HCL-Community seit letztem Jahr ein heißes Thema. Als Notes- oder Domino-Kunde haben Sie vielleicht mit unerwartet hohen Benutzerzahlen und Lizenzgebühren zu kämpfen. Sie fragen sich vielleicht, wie diese neue Art der Lizenzierung funktioniert und welchen Nutzen sie Ihnen bringt. Vor allem wollen Sie sicherlich Ihr Budget einhalten und Kosten sparen, wo immer möglich. Das verstehen wir und wir möchten Ihnen dabei helfen!
Wir erklären Ihnen, wie Sie häufige Konfigurationsprobleme lösen können, die dazu führen können, dass mehr Benutzer gezählt werden als nötig, und wie Sie überflüssige oder ungenutzte Konten identifizieren und entfernen können, um Geld zu sparen. Es gibt auch einige Ansätze, die zu unnötigen Ausgaben führen können, z. B. wenn ein Personendokument anstelle eines Mail-Ins für geteilte Mailboxen verwendet wird. Wir zeigen Ihnen solche Fälle und deren Lösungen. Und natürlich erklären wir Ihnen das neue Lizenzmodell.
Nehmen Sie an diesem Webinar teil, bei dem HCL-Ambassador Marc Thomas und Gastredner Franz Walder Ihnen diese neue Welt näherbringen. Es vermittelt Ihnen die Tools und das Know-how, um den Überblick zu bewahren. Sie werden in der Lage sein, Ihre Kosten durch eine optimierte Domino-Konfiguration zu reduzieren und auch in Zukunft gering zu halten.
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- Reduzierung der Lizenzkosten durch Auffinden und Beheben von Fehlkonfigurationen und überflüssigen Konten
- Wie funktionieren CCB- und CCX-Lizenzen wirklich?
- Verstehen des DLAU-Tools und wie man es am besten nutzt
- Tipps für häufige Problembereiche, wie z. B. Team-Postfächer, Funktions-/Testbenutzer usw.
- Praxisbeispiele und Best Practices zum sofortigen Umsetzen
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024Neo4j
Neha Bajwa, Vice President of Product Marketing, Neo4j
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Dr. Sean Tan, Head of Data Science, Changi Airport Group
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Threats to mobile devices are more prevalent and increasing in scope and complexity. Users of mobile devices desire to take full advantage of the features
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Pushing the limits of ePRTC: 100ns holdover for 100 daysAdtran
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Infrastructure Challenges in Scaling RAG with Custom AI modelsZilliz
Building Retrieval-Augmented Generation (RAG) systems with open-source and custom AI models is a complex task. This talk explores the challenges in productionizing RAG systems, including retrieval performance, response synthesis, and evaluation. We’ll discuss how to leverage open-source models like text embeddings, language models, and custom fine-tuned models to enhance RAG performance. Additionally, we’ll cover how BentoML can help orchestrate and scale these AI components efficiently, ensuring seamless deployment and management of RAG systems in the cloud.
Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slackshyamraj55
Discover the seamless integration of RPA (Robotic Process Automation), COMPOSER, and APM with AWS IDP enhanced with Slack notifications. Explore how these technologies converge to streamline workflows, optimize performance, and ensure secure access, all while leveraging the power of AWS IDP and real-time communication via Slack notifications.
UiPath Test Automation using UiPath Test Suite series, part 6DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 6. In this session, we will cover Test Automation with generative AI and Open AI.
UiPath Test Automation with generative AI and Open AI webinar offers an in-depth exploration of leveraging cutting-edge technologies for test automation within the UiPath platform. Attendees will delve into the integration of generative AI, a test automation solution, with Open AI advanced natural language processing capabilities.
Throughout the session, participants will discover how this synergy empowers testers to automate repetitive tasks, enhance testing accuracy, and expedite the software testing life cycle. Topics covered include the seamless integration process, practical use cases, and the benefits of harnessing AI-driven automation for UiPath testing initiatives. By attending this webinar, testers, and automation professionals can gain valuable insights into harnessing the power of AI to optimize their test automation workflows within the UiPath ecosystem, ultimately driving efficiency and quality in software development processes.
What will you get from this session?
1. Insights into integrating generative AI.
2. Understanding how this integration enhances test automation within the UiPath platform
3. Practical demonstrations
4. Exploration of real-world use cases illustrating the benefits of AI-driven test automation for UiPath
Topics covered:
What is generative AI
Test Automation with generative AI and Open AI.
UiPath integration with generative AI
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
Driving Business Innovation: Latest Generative AI Advancements & Success StorySafe Software
Are you ready to revolutionize how you handle data? Join us for a webinar where we’ll bring you up to speed with the latest advancements in Generative AI technology and discover how leveraging FME with tools from giants like Google Gemini, Amazon, and Microsoft OpenAI can supercharge your workflow efficiency.
During the hour, we’ll take you through:
Guest Speaker Segment with Hannah Barrington: Dive into the world of dynamic real estate marketing with Hannah, the Marketing Manager at Workspace Group. Hear firsthand how their team generates engaging descriptions for thousands of office units by integrating diverse data sources—from PDF floorplans to web pages—using FME transformers, like OpenAIVisionConnector and AnthropicVisionConnector. This use case will show you how GenAI can streamline content creation for marketing across the board.
Ollama Use Case: Learn how Scenario Specialist Dmitri Bagh has utilized Ollama within FME to input data, create custom models, and enhance security protocols. This segment will include demos to illustrate the full capabilities of FME in AI-driven processes.
Custom AI Models: Discover how to leverage FME to build personalized AI models using your data. Whether it’s populating a model with local data for added security or integrating public AI tools, find out how FME facilitates a versatile and secure approach to AI.
We’ll wrap up with a live Q&A session where you can engage with our experts on your specific use cases, and learn more about optimizing your data workflows with AI.
This webinar is ideal for professionals seeking to harness the power of AI within their data management systems while ensuring high levels of customization and security. Whether you're a novice or an expert, gain actionable insights and strategies to elevate your data processes. Join us to see how FME and AI can revolutionize how you work with data!
Driving Business Innovation: Latest Generative AI Advancements & Success Story
Amicable numbers from 1 to 100000000
1. Internat. J. Math. & Math. Sci. 405
VOL. 18 NO. 2 (1995) 405-410
THE UNITARY AMICABLE PAIRS TO I(P
RUDOLPH M. NAJAR
Department of Mathematics
California State University, Fresno
Fresno, CA 93740-0108
(Received January 13, 1993 and in revised form March 19, 1994)
ABSTRACT: We present an exhaustive list of the 185 unitary amicable pairs whose smaller
number is less than 108 and a new unitary sociable set of four numbers.
KEY WORDS AND PHRASES. Unitary amicable pairs, unitary sociable sets.
1991 AMS SUBJECT CLASSIFICATION CODE. 11A25
INTRODUCTION.
A unitary amicable pair (UAP) is a pair of integers m, n such that
6*(m) m + n t*(n) (1.1)
where t* is the sum of unitary divisors function. In 1971, Hagis [4] published a table of UAP’s,
including the results of an exhaustive computer search for all pairs with smaller number less than 106.
There were thirty-two UAP’s in the table, none of which were simultaneously ordinary amicable pairs;
i.e., which were not square-free. The definitions of unitary amicable pairs and ordinary amicable pairs
overlap on square-free pairs. Hagis did not list Wall’s dissertation [7] which included several hundred
UAP’s. Since Hagis, several writers (see, for example [3] and [5]) have added to the known UAP’s.
UNITARY AMICABLE PAIRS.
The present search for UAP’s was conducted on a NeXT station using Mathematica.. Let
s*(n) t*(n) n. (2.1)
The program searched for numbers k such that
s*(s*(k)) k. (2.2)
As part of a verification of the program, it initially picked out fixed points of the first ten iterates of s*,
thus finding the first four unitary perfect numbers.
The search agreed with Hagis’s in finding the nineteen UAP’s less than 106 and the additional
four, pairs number 20, 24, 25, and 111 of this list, less than 108 that Hagis listed. The table follows.
6. 410 R.M. NAJAR
Hagis posed five questions of which two bear comment in terms of the UAP’s found.
Question 3. Is every odd pair of unitary amicable numbers simultaneously amicable?
Only two pairs listed here, numbers 70 and 95, are odd and both are amicable. The evidence
suggests that the answer is "Yes."
Question 4. If rn 2aM and n 2bN, where MN is odd, is it always the case that a b?
The condition holds for all pairs listed here. Again, the evidence, meager as it is, suggests "Yes."
3. NEW UNITARY SOCIABLE SETS.
Flammenkamp [2] discovered eleven new sets of sociable numbers. Eight sets have four
members; two, eight; and one, nine. We may use
23/(23) 210.3.5.7.41/* (210.3.5.7.41) (3.1)
on Flammenkamp’s fifth set to produce a new four element set of unitary sociable numbers.
58682 84023 96160 2(10).3.5.7.11.19.41.1722307
2. 82978 97587 55840 2(10).3.5.7.17.41.71.343891;
3. 95405 61761 43360 2(10).3.5.7.31.41.13567133;
4. 73443 99131 49440 2(10).3.5.7.41.47.8371211.
The remaining sociable sets in [2] and those listed by Cohen 1] are not amenable to this type of
conversion since a necessary condition of relative primeness fails.
ACKNOWLEDGEMENT. The author wishes to note the assistance of a colleague who prefers to
remain unnamed.
REFERENCES
1. COHEN, H. On Amicable and Sociable Numbers, Mtth. Comp. 2_.4 (1970), 423-429.
2. FLAMMENKAMP, A. New Sociable Numbers, Math. Comp. 56 (1991), 871-873.
3. GARCIA, M. New Unitary Amicable Couples, J. Recreat. Math. 17 (1)(1984-85), 32-35.
4. HAGIS, JR., P. Unitary Amicable Numbers, Math. Comp. 25 (1971), 915-918.
5. MCCLUNG, O. W. Generators of Unitary Amicable Numbers, Fibonaci Quart.
23 (1985), 158-165.
6. TE RIELE, H.J.J. Computation of all the amicable pairs below 1010, Math Comp. 4..Q7
(1986), 361-368; $9-$40.
7. WALL, C.R. Topics Related to the Sum of Unitary Divisors of an Integer,
Dissertation, U. of Tenn. 1970.
7. Mathematical Problems in Engineering
Special Issue on
Time-Dependent Billiards
Call for Papers
This subject has been extensively studied in the past years Guest Editors
for one-, two-, and three-dimensional space. Additionally,
Edson Denis Leonel, Department of Statistics, Applied
such dynamical systems can exhibit a very important and still
Mathematics and Computing, Institute of Geosciences and
unexplained phenomenon, called as the Fermi acceleration
Exact Sciences, State University of São Paulo at Rio Claro,
phenomenon. Basically, the phenomenon of Fermi accelera-
Avenida 24A, 1515 Bela Vista, 13506-700 Rio Claro, SP,
tion (FA) is a process in which a classical particle can acquire
Brazil; edleonel@rc.unesp.br
unbounded energy from collisions with a heavy moving wall.
This phenomenon was originally proposed by Enrico Fermi Alexander Loskutov, Physics Faculty, Moscow State
in 1949 as a possible explanation of the origin of the large University, Vorob’evy Gory, Moscow 119992, Russia;
energies of the cosmic particles. His original model was loskutov@chaos.phys.msu.ru
then modified and considered under different approaches
and using many versions. Moreover, applications of FA
have been of a large broad interest in many different fields
of science including plasma physics, astrophysics, atomic
physics, optics, and time-dependent billiard problems and
they are useful for controlling chaos in Engineering and
dynamical systems exhibiting chaos (both conservative and
dissipative chaos).
We intend to publish in this special issue papers reporting
research on time-dependent billiards. The topic includes
both conservative and dissipative dynamics. Papers dis-
cussing dynamical properties, statistical and mathematical
results, stability investigation of the phase space structure,
the phenomenon of Fermi acceleration, conditions for
having suppression of Fermi acceleration, and computational
and numerical methods for exploring these structures and
applications are welcome.
To be acceptable for publication in the special issue of
Mathematical Problems in Engineering, papers must make
significant, original, and correct contributions to one or
more of the topics above mentioned. Mathematical papers
regarding the topics above are also welcome.
Authors should follow the Mathematical Problems in
Engineering manuscript format described at http://www
.hindawi.com/journals/mpe/. Prospective authors should
submit an electronic copy of their complete manuscript
through the journal Manuscript Tracking System at http://
mts.hindawi.com/ according to the following timetable:
Manuscript Due March 1, 2009
First Round of Reviews June 1, 2009
Publication Date September 1, 2009
Hindawi Publishing Corporation
http://www.hindawi.com