Write both equations in standard form. … Make the coefficients of one variable opposites. … Add the equations resulting from Step 2 to eliminate one variable. Solve for the remaining variable. Substitute the solution from Step 4 into one of the original equations. Do you add or subtract systems ofRead More →

Not all differential equations will have solutions so it’s useful to know ahead of time if there is a solution or not. If there isn’t a solution why waste our time trying to find something that doesn’t exist? This question is usually called the existence question in a differential equationsRead More →

Recently, Hadoop has attracted much attention from engineers and researchers as an emerging and effective framework for Big Data. HDFS (Hadoop Distributed File System) can manage a huge amount of data with high performance and reliability using only commodity hardware. How does Hadoop manage big data? Tools based on theRead More →

Monads are just a convenient framework for solving a class of recurring problems. First, monads must be functors (i.e. must support mapping without looking at the elements (or their type)), they must also bring a binding (or chaining) operation and a way to create a monadic value from an elementRead More →

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things. … We then represent the data using a bar graph. What’s the meaningRead More →

Barbed wire was cheaper, easier, and quicker to use than any of these other alternatives. Without fencing, livestock grazed freely, competing for fodder and water. … Known as the “thorny fence,” Kelly’s double-strand design made the fence stronger, and the painful barbs taught cattle to keep their distance. Why wasRead More →

A permutation is an arrangement of objects in a definite order. … For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}. As you can see, there are no other ways to arrange the elements of set A. How do you find the permutation and combination? IfRead More →

Check your answer by substituting both values into either of the original equations. What does it mean to solve equations simultaneously? Simultaneous equations require algebraic skills to find the values of letters within two or more equations. They are called simultaneous equations because the equations are solved at the sameRead More →

Develop a relaxing bedtime routine. Keep a regular bed and wake time. Avoid electronics for at least an hour before bedtime. … Limit caffeine in your diet. Can lack of sleep during pregnancy affect the baby? The amount of sleep you get while you’re pregnant not only affects you andRead More →