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1. Top results related to missing ordered pair definition math problems

   • Ordered pair for a number

     Top Answer

     Answered Nov 12, 2017 · 2 votes

     How the code works

     This is almost exclusively algorithmic improvements over your method. It may be faster to use generators or list comprehensions, but you'd have to profile it to check. The algorithm works as follows:

     • Precompute the digit sums of 1 - N.
     • Group the numbers 1 - N by their digit sum. We have an object that looks like this. Thus if we want to get numbers with digit sum >2, we only need to count the numbers after the third row.

     1: 1, 10 2: 2, 11, 20 3: 3, 12, 21, 30 ...

     • Observe that the numbers within each row are in sorted order. If our number is 12, we only need to look at numbers after 12. We can find the 12s in each row with a binary search.

     Overall, this is a ~20x improvement over your algorithm, with O(N) memory cost

     The code

     import timeimport bisectimport itertools-N = 6-def sum_digits(n): # stolen from here: https://stackoverflow.com/questions/14939953/sum-the-digits-of-a-number-python # there may be a faster way of doing this based on the fact that you're doing this over 1 .. N r = 0 while n: r, n = r + n % 10, n // 10 return r -t = time.time()# trick 1: precompute all of the digit sums. This cuts the time to ~0.3s on N = 1000digit_sums = [sum_digits(i) for i in range(N+1)]digit_sum_map = {}-# trick 2: group the numbers by the digit sum, so we can iterate over all the numbers with a given digit sum very quicklyfor i, key in enumerate(digit_sums): try: digit_sum_map[key].append(i) except KeyError: digit_sum_map[key] = [i]max_digit_sum = max(digit_sum_map.keys())-# trick 3: note that we insert elements into the digit_sum_map in order. thus we can binary search within the map to find# where to start counting from. result = []for i in range(N): for ds in range(digit_sums[i] + 1, max_digit_sum + 1): result.extend(zip(itertools.repeat(i), digit_sum_map[ds][bisect.bisect_left(digit_sum_map[ds], i):]))-print('took {} s, answer is {} for N = {}'.format(time.time() - t, len(result), N))# took 0.0 s, answer is 21 for N = 6# took 0.11658287048339844 s, answer is 348658 for N = 1000# took 8.137377977371216 s, answer is 33289081 for N = 10000-# for reference, your last method takes 2.45 s on N = 1000 on my machine-

     Check all answers on Stack Overflow

     1/5

   • Ordered Pair from repeating list

     Top Answer

     Answered May 03, 2018 · 1 votes

     If you're happy using itertools, you can use itertools.combinations

     :

     from itertools import combinations-a = [1, 3, 5, -1]o = sorted(set(combinations(sorted(a), 2)))>>> [(-1, 1), (-1, 3), (-1, 5), (1, 3), (1, 5), (3, 5)]a = [1, 1, 5, 5]o = sorted(set(combinations(sorted(a), 2)))>>> [(1, 1), (1, 5), (5, 5)]

     The inner call to sorted ensures that each pair will be ordered, which I understand was your intention. The outer call to sorted ensures that the pairs are ordered. If this is not necessary, you can replace this sorted with simply list.

     Check all answers on Stack Overflow

     2/5

   • Ordered Pair

     In mathematics, an ordered pair is a fundamental concept used to represent the coordinates of a point in a coordinate plane. It consists of two values, typically denoted as (x, y), where the first value represents the horizontal position (abscissa) and the second value represents the vertical position (ordinate).

     In this article, we will learn about, Ordered Pair definition, Potting order pair, examples of ordered pairs and others in detail.

     What is an Ordered Pair?

     An ordered pair is a fundamental concept in mathematics, representing a pair of elements arranged in a specific order. In mathematical notation, an ordered pair is typically written as (x, y) where ‘x’ and ‘y’ are the elements of the pair. An ordered pair denoted as (x, y), maintains the sequence of its elements while an unordered pair does not consider the order.

     For example, (1, 2) is distinct from (2, 1) in ordered pairs but they represent the same set in unordered pairs.

     Ordered Pair in Coordinate Geometry

     In coordinate geometry, an ordered pair is used to represent the coordinates of a point on a plane. The first element of the...

     Check all answers on Geeksforgeeks

     3/5

   • Math: Division Problems Generator

     Top Answer

     Answered Sep 25, 2014 · 0 votes

     You are specifically picking numbers where there are a reminder. You can just loop while there is a reminder instead:

     } while (num1 % num2 != 0);-

     However, you won't need to loop at all. If you pick the second operand and the answer, you can calculate the first operand:

     num2 = (int) (Math.random() *10);compAnswer = (int) (Math.random() * 10);-num1 = num2 * compAnswer;

     Check all answers on Stack Overflow

     4/5

   • Problems converting Java math to C#

     Top Answer

     Answered Apr 26, 2015 · 4 votes

     You may want to write your own methods to convert Radian To Degrees. It is a simple formula and seems that's why it is left out of the library.

     It can be a bit confusing at first which angle mode the C#.NET is using, but the answer is radians.

     You will need to write math converters to achieve your conversions.

     private double RadianToDegree(double angle){ return angle * (180.0 / Math.PI);}private double DegreeToRadian(double angle){ return Math.PI * angle / 180.0;}

     You can read this article for further help http://www.vcskicks.com/csharp_net_angles.php

     According to your example, it should be

     public double getAngle(Vector2 me, Vector2 target) { return RadianToDegree(Math.Atan2(target.y - me.y, target.x - me.x));}

     Check all answers on Stack Overflow

     5/5

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2. www.reddit.com › r › learnmathWhat is the difference between f, f(x), f(u), f(n), etc. - Reddit

   www.reddit.com › r › learnmath

   • Cached

   Formally, f can be defined as a list of ordered pairs where the first value in the ordered pair uniquely determines the second value. We use f(x) as shorthand where it’s understood that x is a number representing the first value in the ordered pair and f(x) is the corresponding second value in the ordered pair.

3. brilliant.org › wiki › counting-combinationsCounting Combinations | Brilliant Math & Science Wiki

   brilliant.org › wiki › counting-combinations

   • Cached

   3 days ago · A combination is a way of choosing elements from a set in which order does not matter. A wide variety of counting problems can be cast in terms of the simple concept of combinations, therefore, this topic serves as a building block in solving a wide range of problems. Consider the following example: Lisa has ...

4. www.geeksforgeeks.org › cartesian-product-of-setsCartesian Product of Sets - GeeksforGeeks

   www.geeksforgeeks.org › cartesian-product-of-sets

   • Cached

   Apr 19, 2024 · Properties of Cartesian Product. Problems on Cartesian Product of Sets. Practice Problems on Cartesian Product of Sets. FAQs on Cartesian Product of Sets. What is an Ordered Pair? An ordere­d pair has two parts. The first part is called the first compone­nt. The second part is called the­ second component.

5. Videos

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     How to Determine If an Ordered Pair is a Solution to a System of Equations

     Jan 17, 2018

     261.4K Views

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     1:29

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     Ordered pair solutions to equations | Graphing lines and slope | Algebra Basics | Khan Academy

     Mar 7, 2011

     316.7K Views

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     8:29

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     Find the missing value in an ordered pair for a given equation

     May 12, 2020

     16.3K Views

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6. www.nagwa.com › en › explainersLesson Explainer: Intersection Point of Two Straight ... - Nagwa

   www.nagwa.com › en › explainers

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   4 days ago · Definition: The Point of Intersection of Two Lines. The point of intersection of two distinct, nonparallel lines is the single point where they meet or cross. It is the ordered pair of the values of 𝑥 and 𝑦 where the lines meet on the graph and that satisfies the equations of both lines.

7. libraryguides.centennialcollege.ca › cMath help from the Learning Centre - Centennial College

   libraryguides.centennialcollege.ca › c

   May 1, 2024 · An ordered pair of real numbers are two real numbers in an assigned order. Every point on a coordinate plane can be associated with a unique ordered pair of real numbers, usually \((x,y)\), also called coordinates. The first value, \(x\), is commonly called the x-coordinate, and the second value, \(y\) is called the y-coordinate.

   • Author: Srishta Chopra

   • Publish Year: 2017

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9. brilliant.org › wiki › relationsRelations | Brilliant Math & Science Wiki

   brilliant.org › wiki › relations

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   May 6, 2024 · Equivalence Relations. Orderings. Functions as Relations. Definition. A (binary) relation \Re ℜ between two sets X X and Y Y is a subset of the Cartesian product X \times Y. X ×Y. One way to think about this definition is to think of it as that the ordered pairs correspond to the edges in a graph which links the related things.

10. www.nagwa.com › en › lessonsLesson: Identifying Functions | Nagwa

    www.nagwa.com › en › lessons

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    In this lesson, we will learn how to identify a function from a relation shown by a set of ordered pairs, a relation diagram, an equation, or a graph. Lesson Plan. Students will be able to. define what is meant by a function, identify whether a set of ordered pairs defines a function, identify functions from relation diagrams,