Brownian motion is the random motion of particles in a fluid due to collisions with other particles. Brownian motion was first observed by Robert Brown in 1827. It is named after the botanist Robert Brown. The motion is caused by the random movement of fluid molecules. Brownian motion is a continuous-time stochastic process. It is often used to model various phenomena in physics, finance, and biology. Properties of Brownian motion include random walk, Gaussian distribution, ...

A Martingale is a mathematical concept used in probability theory and statistics. Markov Processes are stochastic processes that satisfy the Markov property. A Martingale is a sequence of random variables where the expected value of the next variable, given the current and past variables, is equal to the current variable. Markov Processes are stochastic processes where the future state depends only on the current state and not on the past states. A Martingale is not necessar...

Find missing number from 1 to n without using extra space and O(n) tc Use XOR operation to find the missing number Iterate through the array and XOR each element with its index and the result The missing number will be the final result after XORing all elements and indices

I handle big data by using advanced analytics tools and techniques to extract valuable insights. Utilize data visualization tools like Tableau or Power BI to analyze and present data Use programming languages like Python or R for data manipulation and statistical analysis Implement machine learning algorithms to uncover patterns and trends in large datasets Leverage cloud computing platforms like AWS or Google Cloud for scalable data processing Ensure data quality and integr...

Sorting algorithms are methods used to arrange elements in a list in a specific order. Bubble Sort - compares adjacent elements and swaps them if they are in the wrong order Merge Sort - divides the list into smaller sublists, sorts them, and then merges them back together Quick Sort - selects a 'pivot' element and partitions the list into two sublists around the pivot Insertion Sort - builds the final sorted list one element at a time by inserting elements into their correc...