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Prove or disprove: there are infinitely many pairs of prime numbers whose difference is exactly 3. (b) Prove or disprove: there are infinitely many pairs of prime numbers whose difference is a nonzero multiple of 3.

Homework 2 Legal assumptions • You may assume any of the following without proof: the laws of algebra are valid, the sum or difference of two integers is an integer, the product of two integers is an integer. • Additionally, you may use any facts about modular arithmetic/algebra without jus-tification, such as the rules of modular addition and multiplication. This includes facts about algebra on […]

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Outline what would happen if we directly apply K-means with Euclidean distance to this data. Can it achieve the clustering objective? How will it split/group the data and why? [3 mar

COMPSCI5100 DEGREES OF MSc, MSci, MEng, BEng, BSc, MA and MA (Social Sciences) Machine Learning & Artificial Intelligence for Data Scientists Question 1: Regression (Total marks: 20) Consider using regression to predict the world population growth rate using the data shown in the following figure: Figure 1.1. Size of training data used in machine learning models from 1950-2023. Source: Modified from https://ourworldindata.org/grapher/artificial-intelligence-number-training-datapoints (a) A rescaling […]

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In regards to staffing, Allston Aleworks aims to employ 1 critical marketing personnel and 1 critical technical personnel for the first two fiscal years (FY1 & FY2), and expand to 2 persons

Team Term Project (TTP) Part 1 What’s the rationale for investing in a new in-house brewery? MET AD715 – Quantitative and Qualitative Decision Making – A4 October 22, 2024 Executive Summary The primary purpose of this report is to determine the feasibility of the opening of Allston Aleworks, a new craft brewery in Allston, Boston. 1 Introduction The craft beer industry in the United States […]

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Qualitative characteristics of financial information (50 marks, around 400 words) On London Stock Exchange website >> Prices and Markets page: https://www.londonstockexchange.com/live-markets/market-data-dashboard/price-explorer, filter by clicking ‘Sector’. Select a sector of your

Question 1 – Qualitative characteristics of financial information (50 marks, around 400 words) On London Stock Exchange website >> Prices and Markets page: https://www.londonstockexchange.com/live-markets/market-data-dashboard/price-explorer, filter by clicking ‘Sector’. Select a sector of your interests and click ‘Apply filters’. Then in ‘Market cap (£m) tag’, select ‘Highest-lowest’. Explore the ranking list. (1) Choose a company which has a relatively large market capital size/higher ranking one; and […]

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The integers are the set {. . . , −2, −1, 0, 1, 2, . . . }. The real numbers are the set of all (non-imaginary, non-infinity) numbers, including all the integers, e, π, √2, −0.203, etc.

Homework 1 Reminders • The integers are the set {. . . , −2, −1, 0, 1, 2, . . . }. The real numbers are the set of all (non-imaginary, non-infinity) numbers, including all the integers, e, π, √2, −0.203, etc. • The notation ∃ means “there exists,” and ∀ means “for all.” • An integer x is even if there exists an integer […]

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Consider a second-order hidden Markov model, in which Xt generally depends on both Xt-1 and Xt-2.The initial distribution is Pr(Xo,X₁),transition probabilities are Pr(Xt|X

SPRING 2024 1.Consider a second-order hidden Markov model, in which Xt generally depends on both Xt-1 and Xt-2.The initial distribution is Pr(Xo,X₁),transition probabilities are Pr(Xt|Xt-1,Xt-2)for t≥2, and observation probabilities are Pr(E|Xt)for t≥1. (a)Circle either true or false for each of the conditional independence statements below that are guaranteed to hold in the second-order HMM. (b) Give a minimal expression for Pr(X₁,…,X₅,e₁,…,e₅) using the HMM parameters. […]

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It is expected that you have taken high school algebra and are familiar with computing concepts.You should also have taken a course in a compiled language. CSE 11 assumes that you have basic programming exposure.

It is expected that you have taken high school algebra and are familiar with computing concepts.You should also have taken a course in a compiled language. CSE 11 assumes that you have basic programming exposure.The pace of this class is fast as shown in its title. 2.Critical information,at a glance You should read this entire syllabus. It is important. It may be the most important […]

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Course material can be accessed over the web via Course Site (CS) once the course begins. There are two major components to the course. One part is the Information Systems (IS) theory, and the other part is learning how to solve business problems using tools

BIS 111: Introduction to Information Systems BIS 111 will be offered as an on-line course during the second Summer Session from June 30th to Aug 7th, 2025. Text We have a custom e-text for this course. Title: Pearson Collections BIS 111 Lehigh University You can purchase this e-text (~$88.34) via the link provided here. The text is organized as follows: Ch. 1-9: these chapters are […]

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If you have found cool resources related to the lesson, post them in the course wiki. If you would like to talk about this lesson wi

MATH-054-T004: Secondary Mathematics 2, Part 2 Self Check: Graphing Quadratic Equations If you have found cool resources related to the lesson, post them in the course wiki. If you would like to talk about this lesson with your peers, or if you are having trouble, make a post on the discussion board. This exercise will help you check your knowledge. This Self Check is dynamic. […]

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In designing a user interface, it is important to be able to critically analyse what makes a website good or bad, without just stati

COMP3511/9511 Human Computer Interaction Assignment 1 Term 2, 2025 User Interface Analysis & Critique DUE: Friday, July 4th at 23:59 (Week 5) 1. Introduction In designing a user interface, it is important to be able to critically analyse what makes a website good or bad, without just stating that you do or do not like it. The critique should be based on formal user interface […]

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