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s-Permutation

Example: password generation. Suppose you are generating a password using the characters A, B, and C. The password must be 3 characters long, and each character can be used once. Here, the S-permutation will be… 

Why do monkeys swing

Why do monkeys swing from branch to branch in the forest? The swinging behavior of monkeys is a crucial aspect of their survival and daily activities. Swinging allows them to efficiently navigate the dense canopy,… 

Polar bear long swim

Polar bears are exceptional swimmers, capable of navigating the frigid Arctic waters with remarkable endurance. Swimming from one iceberg to another can take them anywhere from one to almost ten days, depending on the distance… 

9 brain octopus & gender changed clownfish

Octopuses possess an extraordinary neurological structure, having nine brains in total. They have one central brain that handles overall coordination and cognitive functions, and an additional mini-brain in each of their eight arms. This unique… 

Transparent polar bears

Here are some more fun facts about polar bears: These unique traits and behaviors enable polar bears to thrive in the harsh Arctic environment.

Quizzes about the product rule

Question 1: There are 4 different types of shirts and 3 different types of pants. How many different outfits can you make with one shirt and one pair of pants? A. 7B. 10C. 12D. 15… 

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Quizzes: Complementary rules of probability

More quizzes In a survey, 80% of respondents prefer Brand A over Brand B. If a respondent is selected at random, what is the probability that they prefer Brand B? In a quality control test,… 

Fixed: app crash after integrating Admob to Unity project

If your app crash after updating admob, see the final part. First, check if you input the correct AdMob/Ad Manager Application ID. The correct one should be in the format: “ca-app-pub-################~##########”.  A sample AdMob Application… 

Unity & Admob bugs fixed

List of popular bugs: Fixed: app crash after integrating Admob to Unity project Fixed: Unity Gradle Build failure Fixed: Could not resolve all files for configuration ‘:launcher:releaseRuntimeClasspath’. More debugging tips: Debugging in Unity can sometimes… 

Encoding categorical data in python

Handling categorical data involves several steps to convert it into a format that machine learning algorithms can process effectively. Here are common methods used to handle categorical data: 1. Label Encoding Label encoding converts categorical… 

Fixed: Unity Gradle Build failure

Google has API requirement and if you already got the new SDK API installed to do that, but after that you encounter Gradle building issue, try this: Go to Player Settings >> Publishing Settings Check… 

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Citations issues

If you’ve added another author to your paper and posted it on arXiv, but Google Scholar doesn’t show the new author’s name in the citation, you can go to your paper listing in arxiv >>… 

Kernel tricks, SVM properties & kernel choice

Some popular types of kernels in SVM: 1. Linear Kernel 2. Polynomial Kernel 3. Radial Basis Function (RBF) Kernel (Gaussian Kernel) 4. Sigmoid Kernel Visualizing the decision boundaries To visualize the decision boundaries, we’ll use… 

Exponential distribution

This song helps us better remember the properties of the exponential distribution. The exponential distribution models time between events in a Poisson process, where occurrences are independent at a constant rate. Key features include its probability density and cumulative distribution functions, mean, variance, and memoryless property. It has applications in queueing theory, reliability engineering, and survival analysis.

Phân ph?i m?

Phân ph?i m? (exponential distribution) là m?t phân ph?i xác su?t quan tr?ng trong lý thuy?t xác su?t và th?ng kê. Nó ???c s? d?ng ?? mô t? th?i gian gi?a các s? ki?n x?y… 

Recover lost content in Overleaf via history

In Overleaf, the history feature allows you to track and revert changes made to your document. This is particularly useful if you’ve inadvertently deleted something important. Here’s a step-by-step guide on how to use the… 

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Logistic Regression: method + Python & R codes

Logistic regression & Bernoulli distribution Logistic regression is a statistical method used for analyzing datasets in which there are one or more independent variables that determine an outcome. The outcome is typically a binary variable,… 

AIC and BIC for Feature Selection

Akaike Information Criterion (AIC) Bayesian Information Criterion (BIC) Comparison and Use in Feature Selection By applying AIC and BIC in feature selection, we can make informed decisions about which features to include in their models,… 

K-Nearest Neighbors (KNN): an introduction

K-Nearest Neighbors (KNN) is a popular algorithm used for both classification and regression tasks. In KNN, the output is a class membership, which is assigned based on the majority of the k nearest data points.… 

Linear Discriminant Analysis Implementation in Python & R

Linear Discriminant Analysis (LDA) is a classifier that creates a linear decision boundary by fitting class-conditional densities to the data and applying Bayes’ rule. The model assumes that each class follows a Gaussian distribution with… 

Stepwise Feature Selection +example

Stepwise feature selection is a systematic approach to identifying the most relevant features for a predictive model by combining both forward and backward selection techniques. The process begins with either an empty model. Then, we… 

Backward feature selection + example

Backward feature selection involves iteratively removing the least significant feature from a model based on adjusted R-squared. In this example, we are predicting nuts collected by squirrels, features like temperature and rainfall are chosen as significant predictors through this method. The process aims to finalize a model with the most influential features.

Forward feature selection: a step by step example

Forward feature selection starts with an empty model and adds features one by one. At each step, the feature that improves the model performance the most is added to the model. The process continues until… 

ElasticNet Regression: Method & Codes

ElasticNet regression is a regularized regression method that linearly combines both L1 and L2 penalties of the Lasso and Ridge methods. This allows it to perform both feature selection (like Lasso) and maintain some of… 

Ridge regression: method & R codes

Motivation Now, recall that for LASSO Ridge Regression: Ridge regression: Ridge adds the penalty, which is the sum of the squares of the coefficients, to the loss function in linear regression. Ridge regression shrinks the… 

Lasso Regression and LassoCV: methods & Python codes

The Lasso (Least Absolute Shrinkage and Selection Operator) is a regression technique that enhances prediction accuracy and interpretability by applying L1 regularization to shrink coefficients. Unlike traditional regression methods, Lasso forces some coefficients to become… 

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