The Underlying Mathematics of Computer Applications
ARE MATHS AND SOCIAL MEDIA RELATED?
- the strength of the action
- how close the person who took the action was to you
- how long ago they took the action
For example, you can see a post on Dec 25, 2021 has less relevance than the post on January 10, 2022.
Facebook just multiplies the post by 1/x, where x is the time since the action happened. The higher the number is, the less likely you are to see this post on your feed.
Photos and Videos have a higher weight than links. However, Facebook changes the edge weights on a per-user level depending on what kind of post you are more likely to interact with. Edge weight also changes based on your affinity with others, and how engaging they think you will find the post.
HOW DO CALCULATORS ON YOUR PHONE CALCULATE TRIGONOMETRIC RATIOS?
![](https://www.homeschoolmath.net/teaching/images/sine-taylor.gif)
No, a calculator or computer program is not reading off of a list, but is using an algorithm that gives an approximate value for the sine of a given angle. There are several such algorithms that only use the four basic operations (+, −, ×, /) to find the sine, cosine, or tangent of a given angle.
One way is to take a certain number of terms (the more terms you take, the more accurate the approximation) from the Taylor series for sine:
sin x = x − x3/3! + x5/5! − x7/7! + ..., where x is in radians
MATHEMATICS IN GRAPHIC DESIGNING
And here's one designed by a person with mathematical knowledge:
You might notice some graphic design fundamentals above like, alignment, margins and contrast however this wouldn’t have been possible without some basic math.
To make the design balanced it was important to have correct proportions which is why both the left and right margins are 68 pixels wide and the top and bottom ones are 154 pixels wide. The text is aligned to the margins creating symmetry and contrast is made by multiplying the text font by 2 which gave us a good size for the heading.
FIBONACCI SEQUENCE AND THE GOLDEN SPIRAL
Developed by Fibonacci, The Fibonacci sequence is a series of numbers made up by the sum of the previous two numbers starting from 0 and 1.
“0, 1, (0+1) 1, (1+1) 2, (2+1) 3, (2+3) 5, (3+5) 8, (5+8) 13, (8+13) 21, (13+21) 34…”
The Fibonacci sequence contributes to proportionally balanced design and can also be seen in nature which is why it is also called “Nature’s code.”
In graphic designing, the Fibonacci sequence can be used for balanced layouts and composition. You can use the Fibonacci calculator
to figure out proportionally balanced sizes for your text, columns and graphics. The Fibonacci sequence is also a bit popular in web design.The golden ratio holds the same principle as the Fibonacci sequence. Simply put, it’s a shape with the ratio of 1:1.6 which forms the golden rectangle. By forming shapes with this ratio and connecting all the edges of the shapes together we form the golden spiral.
The golden ratio can be utilized in almost every graphic design field from logo design to web design. In web design you might see the golden ratio most commonly in landing/home pages:
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