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- consider the two heuristic function h1, h3 , where the value of h as in the following table. • Which of the two heuristics (h1, h3) are admissible? * tacn OI LIle neuristiCS N h3 6 node h1 6 a 6 b 5 4 3 d e G h1 h3 O h1 and h3Quadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…Elliptic Curves: Let E5(0,1) be an elliptic curve defined over Z5. E5(0,1): y2 mod 5=x3+1 mod 5 Assume two people A and B want to exchange a secret key using Elliptic Curve Diffie-Hellman Key Exchange (ECDH) method. Given the two private key nA=3 and nB=2, please calculate the public keys PA and PB and the secret key K. NO SPAM!!! PLEASE SHOW PROCEDURES WITH CORRECT ANSWER!!!
- Definition of 3SAT : In the 3SAT problem, the input is a Boolean expression formed by m clause and n variables (each variable x can have a positive literal x and negative literal x). Each clause formed by disjunction of threeliterals and the formula is formed by the conjunction of the m clauses. For example, the following formulais an instance of the 3SAT problem: (x1 ∨ x2 ∨ x3) ∧ (x1 ∨ x2 ∨ x3) ∧ (x1 ∨ x2 ∨ x3), which is formed by 3 variables x1, x2, x3 and three clauses. The objective is to find an assignment of Boolean values to variables to satisfy the formula. In the example above, one possible satisfying assignment is to let x1 to be false and x2, x3 to be true. Problem : A 2SAT formula is a conjunction of clauses like a 3SAT formula, except that each clause is a disjunction of 2 literals (rather than 3). For example (x1 ∨ x2) ∧ (x2 ∨ x3) ∧ (x3 ∨ x1) is a 2SAT formula.Use consistency model to provide a 2SAT formula consistent with the following labelled data (or specifythat…7 Don't copy paste ans pleaseFor each product, find the median sales quantity (assume an odd number of sales forsimplicity of presentation). (NOTE – “median” is defined as “denoting or relating to avalue or quantity lying at the midpoint of a frequency distribution of observed values orquantities, such that there is an equal probability of falling above or below it.” E.g.,Median value of the list {13, 23, 12, 16, 15, 9, 29} is 15. Report #3:PRODUCT MEDIAN_QUANT======= ============Bread 422Milk 1976. . . .
- This assignment uses several heuristic search techniques to find possibly optimal truth assignments for variables in the given Boolean formulas (see the bottom of the assignment). The formulas are in conjunctive normal form (ANDs of ORs). The fitness of an assignment is the number of clauses (ORs) that the assignment satisfies. If there are c clauses, then the highest fitness is bounded by c. However, if the formula is not satisfiable, then you cannot simultaneously make all c clauses true. You will use three of the following seven techniques: DPLL Resolution Genetic algorithms Local search Simulated annealing GSAT WalkSAT You must choose at least one complete algorithm to implement - DPLL or Resolution.Bus timetables specify to the second the exact arrival and departure time of each bus on each stop. You need to pay for the full fare of every bus you ride and different bus lines charge different fees , but they are flat fees (independent of distance travelled on the line) A travel plan is a sequence of stop-time pairs where stop is a location of a bus stop and time is when we arrive at that stop. The plan is feasible if for any two consecutive pairs (a, t) and (b, t′) in the plan there exists a bus that departs after t and arrives at b at exactly t′. That is, a travel plan does not allow us to walk between stops. Assuming that no two buses arrive at the same time at the same stop, a feasible plan uniquely identifies the bus lines that we need to take to realize the plan. The cost of the plan is the sum of the fares we need to pay. Your task is to design an efficient algorithm that given a departure time t, an arrival time t′, an origin stop a and a destination stop b, finds the…Take the following permutation o of {1,2,3,4,5} defined below and use it to encode the phrase that follows. σ(1) = 5 σ (2) = 3 σ(3) = 4 σ (4) = 1 σ (5) = 2 ⠀ "WOODRUFF BEST DORM"
- Please dont USE Ai Fuzzy Logic-Based Fake News Detection Example Suppose we have a news article with the following features that you use to determine whether the article is likely to be fake news: Word Count: The total number of words in the article. Emotional Tone: A score indicating the article's emotional tone (positive, negative, or neutral). Source Reliability: A rating (on a scale of 0 to 1) representing how reliable the news source is. To describe the qualitative characteristics of the above features and represent its inherently vague or imprecise, we use these linguistic variables: Word Count: Low, Medium, High Emotional Tone: Negative, Neutral, Positive Source Reliability: Low, Medium, High These membership functions represent each feature. Consulting a group of experts, they suggest that to classify an article as fake news, we must follow two basic rules: If the Word Count is High AND the Emotional Tone is Negative, the article is likely fake. If…Q2 – Simple Machine-Learning Function Java Program A Learning Function is an empirical formula which is responsible for regulating the training of an agentwith respect to Machine Learning and Artificial Intelligence (AI). In this regard, given below is ourprototype Learning Function, Z, which tunes and regulates the training as well as learning in our AIagents. This is defined such that: Z = y ∗ Ω Given that Ω = 0.567143 and y is a dynamic variable, which is defined with respect to the day of the week and the time of the day, as illustrated in the table below: Weekday/Time Day-Light Night-Time Monday 2.53 3.25 Tuesday 3.15 2.99 Wednesday 3.00 3.99 Thursday 2.41 2.68 Friday 1.99 3.73 Saturday 3.59 2.86 Sunday 2.00 2.59 Therefore, write a Java program correctly such that your source code will accomplish the following: 1. Display a prompt message for the user to enter the Weekday and the Time as a single input separated via the space character. Thus, valid inputs for…x Bird(x)=Can- Fly(x) This universal quantifier used here implies that Oa. All reptiles cannot fly Ob All that flies is a Bird All Birds can fly Oc. All chicken are birds Od.