One of the basic calculations to accelerate them all

In this post, we talk about determinants, a simple way to calculate the properties of a matrix, relevant for our machine learning models speed.

Determinants

Determinants allow us to calculate the properties of matrixes and the results in a faster way than solving them as a system of equations.

Image for post

n by n determinant, self-generated.

In the image, we can see an **_n _**by **_n _**determinant, we will explain how determinants are calculated using this-one and then run some examples.

Determinant calculation

Consider any product of n elements that appear in different rows and different columns in the matrix, so, just one element for each row and just one element for each column. Doing this you select n elements, we will represent it like:

Image for post

Product of element of row and column, self-generated.

Now we need to work with the **_α _**values, all of them are different, what we need to do is order them and calculate the number of inversions needed to do that. An inversion is the same as changing the position of two elements of the list, we will denote it as:

Image for post

The number of inversions, self-generated.

For example in the case of N(4,1,3,2)

Image for post

Inversion example, self-generated.

we needed 4 inversions to order the elements, so N(4,1,3,2) = 4

If the number of inversions is odd, we multiply the value for -1, if it’s even we keep the sign. To express this mathematically, we do it like:

Image for post

Getting the sign based on N, self-generated.

Now we got everything to calculate the determinant, it’s as simple as multiplicating the sign formula just above by the product of the elements and repeat it since there are no more possible combinations:

Image for post

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One of the basic calculations to accelerate them all
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Description
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We will start by helping you get Python installed on your computer, regardless of your operating system, whether its Linux, MacOS, or Windows, we’ve got you covered!

We cover a wide variety of topics, including:

Command Line Basics
Installing Python
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Strings
Lists
Dictionaries
Tuples
Sets
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Scope
Built-in Functions
Debugging and Error Handling
Modules
External Modules
Object Oriented Programming
Inheritance
Polymorphism
File I/O
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Basic programming concept in any language will help but not require to attend this tutorial
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Learn to use Python professionally, learning both Python 2 and Python 3!
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Learn to use Object Oriented Programming with classes!
Understand complex topics, like decorators.
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Python Project - Create a Calorie Calculator in Django

Python Project – Create a Calorie Calculator in Django

BY DATAFLAIR TEAM · UPDATED · AUGUST 14, 2020

In this article, we will develop a Django project – Calorie Calculator. This is a nice intermediate level project to master Django and Python

_Keeping you updated with latest technology trends, _Join DataFlair on Telegram

What is a Calorie Calculator?

”Health is wealth” Obviously, you have heard it a thousand times but as we grow older we often realize it’s true and this app provides an interesting way to get started with the very boring term “dieting” as we already know “FITNESS START WITH WHAT WE EAT”.

Let’s develop an interesting project – Calorie Calculator to record and estimate number of calories we need to consume daily. This app can also provide guidelines for gaining or losing weight.

Calorie Calculator in Python – Django Project

This exciting python project will be developed using a python Django. Django framework provides inbuilt libraries for web development. We can develop any kind of web app using Django.

Project Prerequisites

To implement this app we will use :

  1. Basic concepts of Python
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  3. CSS
  4. Bootstrap
  5. Django framework

To install required libraries, use pip installer from the command line: (Django filters are used and explained later)

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