The document discusses generating arithmetic, geometric, and harmonic progression series. It provides examples of taking integer inputs for the first term (A), common difference or ratio (R), and number of terms (N) and outputting the AP, GP, and HP series. It also gives examples of input/output pairs and discusses the prerequisites of loops, operators, and data types for writing a program to generate the different series.
The document discusses generating arithmetic, geometric, and harmonic progression series. It provides examples of taking input values for the first term (A), common difference or ratio (R), and number of terms (N) and outputting the AP, GP, and HP series. Formulas are given for calculating each subsequent term in the series based on the prior term and common difference or ratio. Sample input and output examples are also provided.
The document defines an arithmetic sequence as a sequence where the nth term is defined by a linear formula of the form an = d*n + c. It provides examples of arithmetic sequences and explains the general formula for finding any term in an arithmetic sequence given the first term a1 and the common difference d between terms. It demonstrates applying the general formula to find the specific formula for various arithmetic sequences and to calculate individual terms.
The document defines and provides examples of sequences and summation notation. A sequence is an ordered list of numbers that may have a pattern. Examples of sequences include the sequence of odd numbers and square numbers. Summation notation uses the Greek letter sigma (Σ) to represent the sum of terms. For a list of numbers f1, f2, ..., fn, their sum can be written as Σnk=1fk, where k is the index variable that runs from 1 to n.
The document discusses sequences and summation notation. It defines a sequence as an ordered list of numbers that may have a pattern. Common examples provided are the sequences of odd numbers, even numbers, and square numbers. A formula is given for calculating the nth term of each sequence. Summation notation is introduced as using the Greek letter sigma to represent summing a list of numbers. An example shows how to write the sum of 100 terms in a sequence using sigma notation with limits and an index variable.
This File presenting all electrical engineering formulas and units , it's a powerful PDF file that you will have all data fourmulas of electricity , electronics & electrical engineering.
also it has a solved examples for every presented law.
This document provides an assignment to write a program to find the third largest element in an array without modifying or sorting the array. It includes the input, which is the size of the array and the array, and the output, which is the third largest element. An example is provided with an array of size 5 containing the elements {5, 1, 4, 2, 8}, and the output is correctly given as the third largest element 4. The steps to solve this problem using three maximum variables (max1, max2, max3) are explained and illustrated. Finally, the prerequisites of arrays, functions and pointers are listed, along with the objective of understanding these concepts.
This document provides instruction on arithmetic sequences. It defines an arithmetic sequence as a sequence where the difference between consecutive terms is constant. Students will learn to write terms, graph, and write equations for arithmetic sequences. Examples show how to find common differences, extend sequences, graph sequences as lines, and write functions to model real-world arithmetic sequences. Students practice these skills through examples of finding terms, graphing sequences, and using functions to solve word problems about bidding and carnival games.
This document discusses sets and set operations including:
- The definitions of a power set, cardinality of a power set, and properties of set operations like the distributive property and DeMorgan's laws.
- Examples are provided to demonstrate set concepts like finding the power set of a set, using DeMorgan's laws, and solving word problems using Venn diagrams.
- Applications of set operations are discussed including using Venn diagrams to represent relationships between sets and solving multi-step word problems involving sets.
The document discusses generating arithmetic, geometric, and harmonic progression series. It provides examples of taking input values for the first term (A), common difference or ratio (R), and number of terms (N) and outputting the AP, GP, and HP series. Formulas are given for calculating each subsequent term in the series based on the prior term and common difference or ratio. Sample input and output examples are also provided.
The document defines an arithmetic sequence as a sequence where the nth term is defined by a linear formula of the form an = d*n + c. It provides examples of arithmetic sequences and explains the general formula for finding any term in an arithmetic sequence given the first term a1 and the common difference d between terms. It demonstrates applying the general formula to find the specific formula for various arithmetic sequences and to calculate individual terms.
The document defines and provides examples of sequences and summation notation. A sequence is an ordered list of numbers that may have a pattern. Examples of sequences include the sequence of odd numbers and square numbers. Summation notation uses the Greek letter sigma (Σ) to represent the sum of terms. For a list of numbers f1, f2, ..., fn, their sum can be written as Σnk=1fk, where k is the index variable that runs from 1 to n.
The document discusses sequences and summation notation. It defines a sequence as an ordered list of numbers that may have a pattern. Common examples provided are the sequences of odd numbers, even numbers, and square numbers. A formula is given for calculating the nth term of each sequence. Summation notation is introduced as using the Greek letter sigma to represent summing a list of numbers. An example shows how to write the sum of 100 terms in a sequence using sigma notation with limits and an index variable.
This File presenting all electrical engineering formulas and units , it's a powerful PDF file that you will have all data fourmulas of electricity , electronics & electrical engineering.
also it has a solved examples for every presented law.
This document provides an assignment to write a program to find the third largest element in an array without modifying or sorting the array. It includes the input, which is the size of the array and the array, and the output, which is the third largest element. An example is provided with an array of size 5 containing the elements {5, 1, 4, 2, 8}, and the output is correctly given as the third largest element 4. The steps to solve this problem using three maximum variables (max1, max2, max3) are explained and illustrated. Finally, the prerequisites of arrays, functions and pointers are listed, along with the objective of understanding these concepts.
This document provides instruction on arithmetic sequences. It defines an arithmetic sequence as a sequence where the difference between consecutive terms is constant. Students will learn to write terms, graph, and write equations for arithmetic sequences. Examples show how to find common differences, extend sequences, graph sequences as lines, and write functions to model real-world arithmetic sequences. Students practice these skills through examples of finding terms, graphing sequences, and using functions to solve word problems about bidding and carnival games.
This document discusses sets and set operations including:
- The definitions of a power set, cardinality of a power set, and properties of set operations like the distributive property and DeMorgan's laws.
- Examples are provided to demonstrate set concepts like finding the power set of a set, using DeMorgan's laws, and solving word problems using Venn diagrams.
- Applications of set operations are discussed including using Venn diagrams to represent relationships between sets and solving multi-step word problems involving sets.
Data Analytics Project_Eun Seuk Choi (Eric)Eric Choi
This document describes a linear regression analysis conducted to predict NBA players' wins contributed (WINS) using minutes played (M), games played (GP), offensive rating (ORPM), and defensive rating (DRPM). The final model was WINS~GP+M+ORPM+DRPM, which had an R^2 of 0.8575. Cross-validation showed the model predicted out-of-sample data well. The analysis found ORPM was most predictive of WINS based on its confidence interval not containing 0.
CrewScout is an expert-team finding system based on the concept of skyline teams and efficient algorithms for finding such teams. Given a set of experts, CrewScout finds all k-expert skyline teams, which are not dominated by any other k-expert teams. The dominance between teams is governed by comparing their aggregated expertise vectors. The need for finding expert teams prevails in applications such as question answering, crowdsourcing, panel selection, and project team formation. The new contributions of this paper include an end-to-end system with an interactive user interface that assists users in choosing teams and an demonstration of its application domains.
The document provides information about arithmetic sequences including definitions, formulas, examples, and practice problems. It defines an arithmetic sequence as a sequence where each term is obtained by adding a constant difference to the previous term. The common difference is what distinguishes an arithmetic sequence from others. Formulas taught include the general formula for the nth term and examples are provided to demonstrate finding specific terms. Students are then given practice problems to identify arithmetic sequences, find terms, common differences, and solve word problems involving arithmetic sequences.
This document discusses arithmetic sequences, which are sets of numbers where the difference between consecutive terms is constant. It provides examples of arithmetic and non-arithmetic sequences, and explains how to determine if a sequence is arithmetic by calculating the common difference. The document also demonstrates how to write formulas for arithmetic sequences given initial terms and common differences, and how to find subsequent terms.
The document provides examples and instructions for writing a program to print numbers in an X pattern based on a given input number. It explains that the program should read an integer as input, then output an X pattern with that number of rows. It includes two examples - one with an input of 4 and output of 4 rows in an X pattern, and another example with an input of 5 and output of 5 rows in an X pattern. It also lists loops as a prerequisite for the task and the objective to understand nested looping.
The document provides an assignment to write a program to remove duplicate elements from an array. It includes the input, which is reading an integer size and elements into an array, and the output of printing the array without duplicates. An example is provided where the input array is {1, 2, 1, 3, 2, 4} and the output array is {1, 2, 3, 4}. Steps are described to compare each element, copy non-duplicates to a new array, and return the new size. Requirements include knowledge of arrays, pointers, and functions. The objective is to understand handling arrays and removing duplicates.
Linear programming, Skinner's Programming, Straight line programming, Model for linear programming, Linear programming on the topic Arithmetic Sequences
This document discusses geometric sequences and series. It begins by defining key terms like geometric sequence, common ratio, and geometric mean. Examples are provided to show how to determine if a sequence is geometric, find subsequent terms using the common ratio, and calculate geometric means and sums of geometric series. The document aims to teach students how to work with geometric sequences and series.
Hidden Markov Model in Natural Language Processingsachinmaskeen211
This document discusses hidden Markov models and the forward-backward algorithm. It introduces marginalization and conditionalization concepts using sales data examples. It then explains how these concepts apply to a weather prediction example modeled as a hidden Markov model. The document discusses computing alpha and beta values using the forward-backward algorithm to find the most likely hidden state sequence. It also discusses how hidden Markov models can be used for part-of-speech tagging of text.
This document provides an introduction to sequences and series. It begins with definitions of sequences, finite and infinite sequences, and series. It then covers topics like arithmetic progressions, geometric progressions, and harmonic progressions. It provides formulas for the nth term and sum of terms for arithmetic and geometric progressions. It also defines arithmetic mean and geometric mean between terms in progressions. The document aims to help secondary students understand key concepts related to sequences and series.
Program flash 12 led dan 2 port slideshreValentino5656
This document contains 3 programs written in BASCOM for microcontrollers. The programs control LEDs by setting the values of ports A and B. Program 1 blinks LEDs in a checkerboard pattern. Program 2 sequentially lights up individual LEDs. Program 3 repeats the pattern of Program 2 in a loop.
The document discusses recursive definitions of sequences, functions, sets, and strings. It provides examples of recursively defining the Fibonacci sequence, factorial function, set of prices using quarters and dimes, and set of binary numbers. It also discusses recursively defining the length, empty string, concatenation, and reversal of strings.
Part 1 sequence and arithmetic progressionSatish Pandit
In this presentation, you will learn sequences and arithmetic progression. How to find the terms, common differences, etc. I have given detailed solutions to each problem.
An arithmetic progression is a sequence of numbers where each term after the first is calculated by adding a fixed number, called the common difference, to the previous term. The nth term can be calculated as an = a + (n - 1)d, where a is the first term and d is the common difference. An arithmetic progression can be either finite, with a fixed number of terms, or infinite, with an unlimited number of terms. The sum of the first n terms of an arithmetic progression is given by Sn = n/2(2a + (n-1)d).
This document introduces arithmetic sequences and series. It defines an arithmetic sequence as a sequence where the difference between consecutive terms is constant. The nth term of an arithmetic sequence can be written as a formula of a, the first term, and d, the common difference. An arithmetic series is the sum of terms in an arithmetic sequence, which can be calculated using the sigma notation and the formula for the sum of an arithmetic sequence. Examples are provided to illustrate finding terms and sums of arithmetic sequences and series.
The document discusses finding the median of two unsorted arrays. It begins with an example of reading in two arrays of sizes M and N, sorting the arrays, finding the median of each array, and calculating the average of the two medians. It then provides more examples and details the steps involved, such as sorting the arrays, finding the individual medians, and calculating the final median. It also discusses prerequisites like loops and arrays and the objective of understanding one-dimensional arrays.
A data structure is a specialized format for organizing, processing, retrieving and storing data. ... For instance, in an object-oriented programming language, the data structure and its associated methods are bound together as part of a class definition.
The document defines arithmetic progressions and provides examples. Some key points:
- An arithmetic progression is a list of numbers where each term is obtained by adding a fixed number (called the common difference) to the preceding term.
- The general formula for the nth term of an AP is an = a + (n-1)d, where a is the first term and d is the common difference.
- Examples show how to determine if a list of numbers forms an AP, write the next terms, and find a specific term by using the general formula.
- There are finite APs, which have a last term, and infinite APs, which go on forever without a last term.
Data Analytics Project_Eun Seuk Choi (Eric)Eric Choi
This document describes a linear regression analysis conducted to predict NBA players' wins contributed (WINS) using minutes played (M), games played (GP), offensive rating (ORPM), and defensive rating (DRPM). The final model was WINS~GP+M+ORPM+DRPM, which had an R^2 of 0.8575. Cross-validation showed the model predicted out-of-sample data well. The analysis found ORPM was most predictive of WINS based on its confidence interval not containing 0.
CrewScout is an expert-team finding system based on the concept of skyline teams and efficient algorithms for finding such teams. Given a set of experts, CrewScout finds all k-expert skyline teams, which are not dominated by any other k-expert teams. The dominance between teams is governed by comparing their aggregated expertise vectors. The need for finding expert teams prevails in applications such as question answering, crowdsourcing, panel selection, and project team formation. The new contributions of this paper include an end-to-end system with an interactive user interface that assists users in choosing teams and an demonstration of its application domains.
The document provides information about arithmetic sequences including definitions, formulas, examples, and practice problems. It defines an arithmetic sequence as a sequence where each term is obtained by adding a constant difference to the previous term. The common difference is what distinguishes an arithmetic sequence from others. Formulas taught include the general formula for the nth term and examples are provided to demonstrate finding specific terms. Students are then given practice problems to identify arithmetic sequences, find terms, common differences, and solve word problems involving arithmetic sequences.
This document discusses arithmetic sequences, which are sets of numbers where the difference between consecutive terms is constant. It provides examples of arithmetic and non-arithmetic sequences, and explains how to determine if a sequence is arithmetic by calculating the common difference. The document also demonstrates how to write formulas for arithmetic sequences given initial terms and common differences, and how to find subsequent terms.
The document provides examples and instructions for writing a program to print numbers in an X pattern based on a given input number. It explains that the program should read an integer as input, then output an X pattern with that number of rows. It includes two examples - one with an input of 4 and output of 4 rows in an X pattern, and another example with an input of 5 and output of 5 rows in an X pattern. It also lists loops as a prerequisite for the task and the objective to understand nested looping.
The document provides an assignment to write a program to remove duplicate elements from an array. It includes the input, which is reading an integer size and elements into an array, and the output of printing the array without duplicates. An example is provided where the input array is {1, 2, 1, 3, 2, 4} and the output array is {1, 2, 3, 4}. Steps are described to compare each element, copy non-duplicates to a new array, and return the new size. Requirements include knowledge of arrays, pointers, and functions. The objective is to understand handling arrays and removing duplicates.
Linear programming, Skinner's Programming, Straight line programming, Model for linear programming, Linear programming on the topic Arithmetic Sequences
This document discusses geometric sequences and series. It begins by defining key terms like geometric sequence, common ratio, and geometric mean. Examples are provided to show how to determine if a sequence is geometric, find subsequent terms using the common ratio, and calculate geometric means and sums of geometric series. The document aims to teach students how to work with geometric sequences and series.
Hidden Markov Model in Natural Language Processingsachinmaskeen211
This document discusses hidden Markov models and the forward-backward algorithm. It introduces marginalization and conditionalization concepts using sales data examples. It then explains how these concepts apply to a weather prediction example modeled as a hidden Markov model. The document discusses computing alpha and beta values using the forward-backward algorithm to find the most likely hidden state sequence. It also discusses how hidden Markov models can be used for part-of-speech tagging of text.
This document provides an introduction to sequences and series. It begins with definitions of sequences, finite and infinite sequences, and series. It then covers topics like arithmetic progressions, geometric progressions, and harmonic progressions. It provides formulas for the nth term and sum of terms for arithmetic and geometric progressions. It also defines arithmetic mean and geometric mean between terms in progressions. The document aims to help secondary students understand key concepts related to sequences and series.
Program flash 12 led dan 2 port slideshreValentino5656
This document contains 3 programs written in BASCOM for microcontrollers. The programs control LEDs by setting the values of ports A and B. Program 1 blinks LEDs in a checkerboard pattern. Program 2 sequentially lights up individual LEDs. Program 3 repeats the pattern of Program 2 in a loop.
The document discusses recursive definitions of sequences, functions, sets, and strings. It provides examples of recursively defining the Fibonacci sequence, factorial function, set of prices using quarters and dimes, and set of binary numbers. It also discusses recursively defining the length, empty string, concatenation, and reversal of strings.
Part 1 sequence and arithmetic progressionSatish Pandit
In this presentation, you will learn sequences and arithmetic progression. How to find the terms, common differences, etc. I have given detailed solutions to each problem.
An arithmetic progression is a sequence of numbers where each term after the first is calculated by adding a fixed number, called the common difference, to the previous term. The nth term can be calculated as an = a + (n - 1)d, where a is the first term and d is the common difference. An arithmetic progression can be either finite, with a fixed number of terms, or infinite, with an unlimited number of terms. The sum of the first n terms of an arithmetic progression is given by Sn = n/2(2a + (n-1)d).
This document introduces arithmetic sequences and series. It defines an arithmetic sequence as a sequence where the difference between consecutive terms is constant. The nth term of an arithmetic sequence can be written as a formula of a, the first term, and d, the common difference. An arithmetic series is the sum of terms in an arithmetic sequence, which can be calculated using the sigma notation and the formula for the sum of an arithmetic sequence. Examples are provided to illustrate finding terms and sums of arithmetic sequences and series.
The document discusses finding the median of two unsorted arrays. It begins with an example of reading in two arrays of sizes M and N, sorting the arrays, finding the median of each array, and calculating the average of the two medians. It then provides more examples and details the steps involved, such as sorting the arrays, finding the individual medians, and calculating the final median. It also discusses prerequisites like loops and arrays and the objective of understanding one-dimensional arrays.
A data structure is a specialized format for organizing, processing, retrieving and storing data. ... For instance, in an object-oriented programming language, the data structure and its associated methods are bound together as part of a class definition.
The document defines arithmetic progressions and provides examples. Some key points:
- An arithmetic progression is a list of numbers where each term is obtained by adding a fixed number (called the common difference) to the preceding term.
- The general formula for the nth term of an AP is an = a + (n-1)d, where a is the first term and d is the common difference.
- Examples show how to determine if a list of numbers forms an AP, write the next terms, and find a specific term by using the general formula.
- There are finite APs, which have a last term, and infinite APs, which go on forever without a last term.
The document discusses implementing a function to check if a character is a hexadecimal digit. It explains that a hexadecimal digit ranges from 0-9, A-F, a-f in the ASCII table. It provides examples of inputting different characters and checking if they are hexadecimal digits or not. The sample execution section is empty. It lists functions as the prerequisite for understanding how to create a custom function to check for hexadecimal digits.
The document provides an example program to implement a student record system using an array of structures. It involves reading the number of students and subjects, student names and marks for each subject, calculating averages and grades. The program displays menus to view all student details or a particular student's details based on roll number or name. It demonstrates declaring a structure for student records, reading input into an array of structures, calculating averages and grades, and printing the student records with options to search by roll number or name.
This document discusses writing a macro called swap(t,x,y) that swaps two arguments of any data type t. It asks the user to input a data type and two values of that type, then swaps the values and displays the output. It explains how to swap two integers by using a temporary variable and applying the same concept to arguments of any type t by using macros. The objective is to understand macro preprocessing in C.
This document discusses defining a macro called SIZEOF to return the size of a data type without using the sizeof operator. It explains that by taking the difference of the addresses of a variable and the variable plus one, cast to char pointers, you can get the size in bytes. An example is provided using an integer variable x, showing how taking the difference of (&x+1) and &x after casting to char pointers returns the size of an int, which is 4 bytes. Background on macros and pointers is provided. The objective is stated as understanding macro usage in preprocessing.
The document describes a C program to multiply two matrices. It explains that the program takes input of rows and columns for Matrix A and B, reads in the element values, and checks that the column of the first matrix equals the row of the second before calculating the product. An example is provided where the matrices can be multiplied, producing the output matrix, and another where they cannot due to mismatched dimensions. Requirements for the program include pointers, 2D arrays, and dynamic memory allocation.
The document describes an assignment to read in an unspecified number (n) of names of up to 20 characters each, sort the names alphabetically, and print the sorted list. It provides examples of reading in 3 names ("Arunachal", "Bengaluru", "Agra"), sorting them using a custom string comparison function, and printing the sorted list ("Agra", "Arunachal", "Bengaluru"). Pre-requisites for the assignment include functions, dynamic arrays, and pointers. The objective is to understand how to use functions, arrays and pointers to complete the task.
This document provides instructions for an assignment to implement fragments using an array of pointers. It asks the student to write a program that reads the number of rows and columns for each row, reads the elements for each row, calculates the average for each row, sorts the rows based on average, and prints the results. It includes examples that show reading input values, storing them in an array using pointers, calculating averages, sorting rows, and sample output. The prerequisites are listed as pointers, functions, and dynamic memory allocation, and the objective is stated as understanding dynamic memory allocation and arrays of pointers.
The document describes an algorithm to generate a magic square of size n×n. It takes the integer n as input from the user and outputs the n×n magic square. A magic square is an arrangement of distinct numbers in a square grid where the sum of each row, column and diagonal is equal. The algorithm uses steps like starting from the middle of the grid and moving element by element in a pattern, wrapping around when reaching the boundaries.
This document discusses endianness and provides an example program to convert between little endian and big endian formats. It defines endianness as the order of bytes in memory, and describes little endian as having the least significant byte at the lowest memory address and big endian as the opposite. An example shows inputting a 2-byte number in little endian format and outputting it in big endian. Pre-requisites of pointers and the objective of understanding endianness representations are also stated.
The document provides steps to calculate variance of an array using dynamic memory allocation in C. It explains what variance is, shows an example to calculate variance of a sample array by finding the mean, deviations from mean, squaring the deviations and calculating the average of squared deviations. The key steps are: 1) Read array size and elements, 2) Calculate mean, 3) Find deviations from mean, 4) Square the deviations and store in another array, 5) Calculate average of squared deviations to get variance.
This document provides examples for an assignment to create a menu-driven program that stores and manipulates different data types (char, int, float, double) in dynamically allocated memory. It allocates 8 consecutive bytes to store the variables and uses flags to track which data types are stored. The menu allows the user to add, display, and remove elements as well as exit the program. Examples demonstrate initializing the flags, adding/removing elements, updating the flags, and displaying only elements whose flags are set. The objective is to understand dynamic memory allocation using pointers.
The document discusses generating non-repetitive pattern strings (NRPS) of length n using k distinct characters. It explains that an NRPS has a pattern that is not repeated consecutively. It provides steps to check if a string is an NRPS, including comparing characters and resetting a count if characters do not match. It also describes how to create an NRPS by starting with an ordered pattern and then copying subsequent characters to generate new patterns without repetition until the string reaches the desired length n. Sample inputs and outputs are provided.
The document discusses how to check if a string is a pangram, which is a sentence containing all 26 letters of the English alphabet. It provides an example of implementing the algorithm to check for a pangram by initializing an array to track letter occurrences, iterating through the input string to mark letters in the array, and checking if all letters are marked to determine if it is a pangram.
The document explains how to print all possible combinations of a given string by swapping characters. It provides an example of generating all six combinations of the string "ABC" through a step-by-step process of swapping characters. It also lists the prerequisites as strings, arrays, and pointers and the objective as understanding string manipulations.
The document describes an assignment to write a program that squeezes characters from one string (s1) that match characters in a second string (s2). It provides examples of input/output and step-by-step demonstrations of the program removing matching characters from s1. It also lists prerequisites of functions, arrays, and pointers and the objective of understanding these concepts as they relate to strings.
The document discusses implementing the strtok() string tokenization function. It explains that strtok() breaks a string into tokens based on delimiters. The document then provides pseudocode to implement a custom strtok() function by iterating through the string, overwriting delimiter characters with null terminators to create tokens, and returning a pointer to each token. Sample input/output is provided. The objective is stated as understanding string functions, with prerequisites of strings, storage classes, and pointers.
The document provides details on an assignment to write a program that recursively reverses a given string without using static variables, global variables, or loops. It includes the input, output, and examples of reversing the strings "Extreme" and "hello world". It also provides sample execution and pre-requisites of strings and recursive functions, with the objective being to understand reversing a string recursively.
The document provides code and examples for reversing a string using an iterative method in C++. It explains taking in a string as input, declaring output and input strings of the same length, and swapping the first and last characters, second and second to last, and so on through multiple iterations until the string is reversed. Examples show reversing the strings "Extreme" to "emertxE" and "hello world" to "dlrow olleh" through this iterative swap process. Pre-requisites of strings and loops are noted, with the objective stated as understanding string reversal using an iterative approach.
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it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
6. Assignment 5
WAP to generate AP, GP, HP series.
Input: Read integer ‘A’, ‘R’ and ‘N’.
7. Assignment 5
WAP to generate AP, GP, HP series.
Input: Read integer ‘A’, ‘R’ and ‘N’.
where:
A = First number
R = Common difference(AP & HP), Common ratio(GP)
N = number of terms
8. Assignment 5
WAP to generate AP, GP, HP series.
Input: Read integer ‘A’, ‘R’ and ‘N’.
where:
A = First number
R = Common difference(AP & HP), Common ratio(GP)
N = number of terms
Output:
9. Assignment 5
WAP to generate AP, GP, HP series.
Input: Read integer ‘A’, ‘R’ and ‘N’.
where:
A = First number
R = Common difference(AP & HP), Common ratio(GP)
N = number of terms
Output: Print AP , GP and HP series.
14. Assignment 5
How to generate AP series?
First term ‘A’ = 3, Common difference ‘R’ = 3 and ‘N’ = 3
15. Assignment 5
How to generate AP series?
First term ‘A’ = 3, Common difference ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
16. Assignment 5
How to generate AP series?
First term ‘A’ = 3, Common difference ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
Sum of previous term and common difference(R) -> next term
17. Assignment 5
How to generate AP series?
First term ‘A’ = 3, Common difference ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
Sum of previous term and common difference(R) -> next term
The series : 3, ?
18. Assignment 5
How to generate AP series?
First term ‘A’ = 3, Common difference ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
Sum of previous term and common difference(R) -> next term
The series : 3, ?
What is the next term?
3 ?
19. Assignment 5
How to generate AP series?
First term ‘A’ = 3, Common difference ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
Sum of previous term and common difference(R) -> next term
The series : 3, ?
What is the next term?
3 6
3 + 3 = 6
20. Assignment 5
How to generate AP series?
First term ‘A’ = 3, Common difference ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
Sum of previous term and common difference(R) -> next term
The series : 3, 6, ?
What is the next term?
3 9
6
6 + 3 = 9
21. Assignment 5
How to generate AP series?
First term ‘A’ = 3, Common difference ‘R’ = 3 and ‘N’ = 3
The series : 3, 6, 9
26. Assignment 5
How to generate GP series?
First term ‘A’ = 3, Common ratio ‘R’ = 3 and ‘N’ = 3
27. Assignment 5
How to generate GP series?
First term ‘A’ = 3, Common ratio ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
28. Assignment 5
How to generate GP series?
First term ‘A’ = 3, Common ratio ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
Product of previous term and common ratio (R) -> next term
29. Assignment 5
How to generate GP series?
First term ‘A’ = 3, Common ratio ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
Product of previous term and common ratio (R) -> next term
The series : 3, ?
30. Assignment 5
How to generate GP series?
First term ‘A’ = 3, Common ratio ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
Product of previous term and common ratio (R) -> next term
The series : 3, ?
What is the next term?
?
3
31. Assignment 5
How to generate GP series?
First term ‘A’ = 3, Common ratio ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
Product of previous term and common ratio (R) -> next term
The series : 3, ?
What is the next term?
3 * 3 = 9
9
3
32. Assignment 5
How to generate GP series?
First term ‘A’ = 3, Common ratio ‘R’ = 3 and ‘N’ = 3
How to find the next term ?
Product of previous term and common ratio (R) -> next term
The series : 3, 9, ?
What is the next term?
9 * 3 = 27
27
9
3
33. Assignment 5
How to generate GP series?
First term ‘A’ = 3, Common ratio ‘R’ = 3 and ‘N’ = 3
The series : 3, 9, 27
38. Assignment 5
How to generate HP series?
First term is –> 1/A (A = 3) and the AP series : 3, 6, 9
39. Assignment 5
How to generate HP series?
First term is –> 1/A (A = 3) and the AP series : 3, 6, 9
How to find the next term ?
40. Assignment 5
How to generate HP series?
First term is –> 1/A (A = 3) and the AP series : 3, 6, 9
How to find the next term ?
Reciprocal of next term in AP series-> next term
41. Assignment 5
How to generate HP series?
First term is –> 1/A (A = 3) and the AP series : 3, 6, 9
How to find the next term ?
Reciprocal of next term in AP series-> next term
The series : 1/3, ?
42. Assignment 5
How to generate HP series?
First term is –> 1/A (A = 3) and the AP series : 3, 6, 9
How to find the next term ?
Reciprocal of next term in AP series-> next term
The series : 1/3, ?
In float : 0.333333, ?
43. Assignment 5
How to generate HP series?
First term is –> 1/A (A = 3) and the AP series : 3, 6, 9
How to find the next term ?
Reciprocal of next term in AP series-> next term
The series : 1/3, ?
In float : 0.333333, ?
What is the next term?
1/3 ?
44. Assignment 5
How to generate HP series?
First term is –> 1/A (A = 3) and the AP series : 3, 6, 9
How to find the next term ?
Reciprocal of next term in AP series-> next term
The series : 1/3, 1/6, ?
In float : 0.333333, 0.166667, ?
What is the next term?
1/3 1/6
1 / (3+3) = 1/6
45. Assignment 5
How to generate HP series?
First term is –> 1/A (A = 3) and the AP series : 3, 6, 9
How to find the next term ?
Reciprocal of next term in AP series-> next term
The series : 1/3, 1/6, ?
In float : 0.333333, 0.166667, 0.111111
What is the next term?
1/3 1/6
1 / (3+3) = 1/9
1/9
47. Assignment 5
For example:- A = 3, R = 3 , N = 3
The HP series is :- 1/3, 1/6, 1/9
Print series in float:-
48. Assignment 5
For example:- A = 3, R = 3 , N = 3
The HP series is :- 1/3, 1/6, 1/9
Print the series in float values
Print series in float:-
49. Assignment 5
For example:- A = 3, R = 3 , N = 3
The HP series is :- 1/3, 1/6, 1/9
Print the series in float values
In float : 0.333333, 0.166667, 0.111111
Print series in float:-
51. Assignment 5
int num1 = 3 , num2 = 2;
float res = num1 / num2;
Can you guess the output ?
52. Assignment 5
int num1 = 3 , num2 = 2;
float res = num1 / num2;
It will print 1.000000
Can you guess the output ?
53. Assignment 5
int num1 = 3 , num2 = 2;
float res = num1 / num2;
It will print 1.000000
int num1 = 3 , num2 = 2;
float res = (float) num1 / num2;
Can you guess the output ?
54. Assignment 5
int num1 = 3 , num2 = 2;
float res = num1 / num2;
It will print 1.000000
int num1 = 3 , num2 = 2;
float res = (float) num1 / num2;
It will print 1.500000
Can you guess the output ?
3 / 2 1.000000
=
int float
int
3.000000 / 2 1.500000
=
float float
int
55. Assignment 5
int num1 = 3 , num2 = 2;
float res = num1 / num2;
It will print 1.000000
int num1 = 3 , num2 = 2;
float res = (float) num1 / num2;
It will print 1.500000
Can you guess the output ?
Doing int / int and storing in float.
So, decimal part(.5 of 1.5) will be
truncated and only 1.000000 will
be stored in float.
Doing float / int and storing in
float.
So, decimal part(.5 of 1.5) will not
be truncated and 1.500000 will be
stored in float. This is typecasting