}}{{Tarski's fixed-point theorem for the maximum fixed point ?X.?(X) of a monotonic function ? on the powerset P(A) of a set A. [6 marks] (b) Let S ? A. Prove S ? ?X.?(X) ? S ? ?(?X.(S ? ?(X))) [7 marks] (c) Describe the syntax and semantics of the modal mu-calculus. Describe a model checking algorithm which uses the fact in part (b) to decide whether an assertion of the modal mu-calculus holds of a state in a finite transition system. [7 marks]

This question offers with stochastic approaches N(t), t ? zero where N(t) represents the number of activities within the time c programming language [0, t]. (a) (i) Define a Poisson technique N(t), t ? 0 of price ? > zero. (ii) Show that N(t) ? Pois(?t) for every constant t > 0. You may additionally use the end result that limn??(1 ? x) n = e ?x with out evidence. (iii) Let X1 be the time of the first occasion of the Poisson procedure N(t). Show that X1 ? Exp(?). (iv) Now given that N(t) = 1 derive the distribution of the time of the single occasion in [0, t]. [4 marks] (b) Suppose that events of a Poisson method of rate ? are independently selected at random with chance p > 0. Show that the method of selected occasions is likewise a Poisson manner and establish its price. (c) Describe how your result from component (b) can be used to simulate a nonhomogeneous Poisson method whose rate characteristic ?(t) is such that ?(t) ? ?

Connect to database $mysqli = new mysqli("localhost","1014184","Serenity1990@@","db1014184"); if ($mysqli -> connect_errno) { echo "Failed to connect to MySQL: " . $mysqli -> connect_error; exit(); } // Execute SQL query $sql = "SELECT * FROM weather WHERE city = '{$_GET['city']}' AND weather_when >= DATE_SUB(NOW(), INTERVAL 10 SECOND) ORDER BY weather_when DESC limit 1"; $result = $mysqli -> query($sql); // Error ? if($result == false) { echo("

SQL error description: " . $mysqli -> error . "

"); }

// No data? Import fresh data and run query again! if ($result->num_rows == 0) { include('data-import.php'); $result = $mysqli -> query($sql); // Run query again after import } // Get data, convert to JSON and print $row = $result -> fetch_assoc(); print json_encode($row); // Free result set and close connection $result -> free_result(); $mysqli -> close(); ?>

prototype3

Weather in york

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// Convert response string to json object .then(response => response.json()) .then(response => {

// Display whole API response in browser console (take a look at it!) console.log(response);

Marketing Plan Project Directions: Using the knowledge gained during this course, build a marketing plan for a NEW business you wish to start. Your plan must include details on each of the elements listed below. See Appendix A (Pages A-1 through A-5) towards the back of your textbook for details on each of these sections and what type of information needs to be included to have a complete plan. There is also a sample completed plan on pages A-6 through A-14 in your textbook for your reference. Be sure to clearly LABEL each of these sections in your plan and include detailed information about your plans to "Market" this business so it will be successful. If you need an idea for a type of business, I recommend creating a new local restaurant bar or some type of business you can easily relate to. Type your plan using Microsoft Word. Save the file on your computer ( docx ending). Close the file after saving. Get into canvas and attach and submit the completed document before the due date. Name of Your Business: L. Business Mission II. Situation Analysis (SWOT) A. Internal Strengths and Weaknesses B. External Opportunities and Threats 1. Social 2. Demographics Economics Political, Legal, and Financial LA Competition Technological Ecological III. Objectives IV. Marketing Strategy A. Target Market Strategy B. Marketing Mix 1. Product 2. Place/Distribution 3. Promotion a. advertising b. public relations c. personal selling d. sales promotion 4. Pricing V. Implementation, Evaluation, and Control