Vivax Solutions Blog

Great GCSE Project Ideas for Python - computer science Password Generator: Design a password generator that produces secure and memorable passwords based on user-specified criteria. This project will introduce students to concepts like random number generation, string manipulation, and user input validation. They can add their own cipher method with keys to make them very secure. To-Do List Application: Create a simple to-do list application that allows users to add, remove, and mark tasks as completed. This project will teach students about data structures like lists and how to store and retrieve data efficiently. They can use a database, a .csv file or .txt file to store data. Calculator App: Develop a fairly-advanced calculator application capable of performing arithmetic operations like addition, subtraction, multiplication, division and more advanced methods involving trigonometry and statistics. This project will introduce students to variables, operators, and control flow statem

The cosine rule The cosine rule is a fundamental concept in geometry that can be used to solve a variety of problems. However, it can be difficult to understand and apply, especially for students who are just learning about it. That's why we created a new interactive simulation that makes learning the cosine rule fun and easy. Our simulation allows you to practice using the cosine rule in a variety of situations. You can also see the results of your calculations in real time. We believe that our simulation is the best way to learn the cosine rule. It is interactive, engaging, and easy to use. We hope you enjoy using it! In this blog post, we will provide a brief overview of the cosine rule and how our simulation can help you learn it. We will also discuss some of the features of our simulation that make it so effective. What is the Cosine Rule? The cosine rule is a formula that can be used to find the length of any side of a triangle, given the lengths of the other two sides and th

Denary to Binary Conversion Denary to binary conversion is a fundamental concept in computer science and digital electronics. It involves transforming a base 10 number, which represents the number system we commonly use, into a base 2 number, which is the language used by computers to store and manipulate information. As far as the computer science students at GCSE and A Level are concerned, it is a vital concept to be mastered. The process of converting from denary to binary involves repeatedly dividing the denary number by 2 and observing the remainders. The remainders represent the digits of the binary number, with a 0 indicating a 0 digit and a 1 indicating a 1 digit. The quotients are then used to perform further divisions, continuing the process until the quotient reaches 0. Here's a step-by-step explanation of the conversion process: Start with the denary number. Divide the denary number by 2. Note the remainder. This will be the least significant bit (LSB) of the binary

Iteration for GCSE and A Level   Aim: To use iteration to find an approximate solution to the equation x² - x - 5 = 0. Step 1: Rearrange the equation to get the iterative form, x² = x + 5.. Step 2: Divide both sides of the equation by x to get x = 1 + 5/x - the iterative form. Step 3: Now write it in this form: x n+1 = 1 + 5/x n Step 4: Use an initial value to trigger off iteration such as x 0 = 1. Step 5: We can now use the iterative formula. We can start with an initial guess of x 0 =1 and then use the iterative formula to repeat, until we get a value that becomes relatively constant. Step 6: Approximate the value to the required decimal places and it is a root of the quadratic equation. x(0) = 1 x 1 = 6.0   x 2 = 1.83333333333   x 3 = 3.72727272727 x 4 = 2.34146341463   x 5 = 3.13541666667   x 6 = 2.59468438538 x 7 = 2.92701664533 x 8 = 2.708223972 x 9 = 2.84622839606 x 10 = 2.75671074286   x 11 = 2.81375576416   x 12 = 2.77698436505 x 13 = 2.80051427834

  The constellation of satellites of Starlink, owned by SpaceX, is already revolutionizing the broadband internet in terms of speed of data transmission, low latency and of course, the possibility of accessing it from anywhere in the world - even in the remotest parts of the world. Since Arthur C Clark, the science fiction writer, first envisioned the possibility of using satellites in communication, the use of geostationary satellites grew by leaps and bounds.  Since those who deploy them want them to be 'stationary' above a specific position of the Earth, they are compelled to make them revolve around the planet at the same speed of the Earth's rotation around its own axis - 24 hours in rotational time.. Newton's Law of Gravitation and Kepler's Laws of Motion help us calculate the specific altitude of a geostationary satellite as follows: F = GMm/r²,  t he force between the Earth and a satellite of mass m The centripetal force of the satellite = mrω², where w i

The creation of a Chrome extension from scratch, submitting it to the Browser Web Store, getting it reviewed - and then, published - in less than 24 hours is something that any aspiring developer can be proud of. Google Browser Extension - reviewed and approved in within 24 hours I managed to do just that today, on 2 August, 2023 and in this tutorial I am going to explain the whole process. Google broke the good news of the success with an email, saying that the browser extension has been reviewed and published to the Chrome Web Browser Store. Browser extension published - reviewed and approved by Google In order to understand the process, I assume you have the following skills at a reasonable level, but not necessarily at a very advanced level. 1) Good knowledge in HTML 2) Knowledge in CSS 3) Good knowledge of JavaScript 4) Knowledge in the DOM - Document Object Model 5) Some knowledge in JSON In addition, you need the following: A Google developer account - a fee has to be paid The

  Concave functions If f''(x) ≤ 0 in a given interval of x, the function is said to be concave. Convex functions If f''(x) ≥ 0 in a given interval of x, the function is said to be convex. Point of Inflection The point at which a curve changes being concave to convex or vice versa is called a point of inflection. E.g. f(x) = x 3 - 2x² + 5x - 4 f'(x) = 3x² - 4x + 5 f''(x) = 6x - 4 At the point of inflection, f''(x) = 0 6x - 4 = 0 x = 2/3 = 0.67 There is a point of inflection at x = 0.67. If x = 0.6 f''(0.6) = 3.6 - 4 = -0.4 f''(0.6) < 0 - the function is concave. If x = 0.8 f''(0.8) = 4.8 - 4 = 0.8 f''(0.8) > 0 - the function is convex. In the above simulation, there are two points of inflection. The simulation can be practised interactively here; just move the point gently to see the change.   Points of inflection on the Bell Curve - Normal Distribution There are two points of inflection on the bell curve.