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In Java, a multi-dimensional array is nothing but an array of arrays.2D array − A two-dimensional array in Java is represented as an array of one-dimensional arrays of the same type. Mostly, it is used to represent a table of values with rows and columns −Int[][] myArray = {{10, 20, 30}, {11, 21, 31}, {12, 22, 32} }In short, a two-dimensional array contains one-dimensional arrays of elements. It is represented by two indices where the first index denotes the position of the array and the second index represents the position of the element within that particular array − Example ... Read More
Introduction Multiplication is a mathematical operation or process of combining the total number of items or values by using repeated addition. It is used in all sections of mathematical problem solutions be it Algebra, Arithmetic, Trigonometry, Coordinate Geometry, Calculus and etc. Multiplicand and Multipliers When we apply multiplication then, the Multiplicand is the number which is being multiplied and the Multiplier is the number which is multiplying the first number. For example: In this multiplication 20 is the Multiplicand and 25 is the Multiplier. Multiplication Tricks A single-digit number can be easily multiplied. But the multiplication of ... Read More
Introduction In engineering, we come across various systems where the process depends on more than one variable. In this case, the optimization and designing of the system need the involvement of multiple variables. In this direction, multivariable calculus plays an important role. It has various applications starting from economics to science. In this tutorial, we will learn about multivariable calculus and its various operations (such as limits, continuity, partial derivatives, and integration) with solved examples. What is meant by Multivariable Calculus Multivariable calculus is an extended topic of calculus that includes multiple variable functions. ... Read More
Introduction The solutions of the quadratic equation ax2+bx+c=0 serve as the quadratic equation's roots. They are the values of the variable x that the equation requires. The x-coordinates of the x-intercepts of a quadratic function are the roots of the function. A quadratic equation can only have a maximum of two roots because its degree is 2. The nature of these roots of the quadratic equation is solely dependent on the value of the determining factor which is called a discriminant of the quadratic equation about which we will be discussing in this tutorial. Quadratic Equation ... Read More
Introduction In non-terminating decimals, the numbers after the decimal point tend to be endless. In the non-terminating repeating decimals, a sequence of numbers after the decimal point is recurring in a specific pattern. These types of numbers are called Rational numbers. They are in $\mathrm{\frac{p}{q}}$ where q ≠ 0. In non-terminating decimals we will be discussing irrational numbers which cannot be represented in fractions. Whereas, if the non-terminating decimals have recurring patterns then it is said these decimals can be converted into fractions. In this tutorial, we will learn about non-terminating repeating decimals and how to ... Read More
Introduction Place value is the foundation for understanding number systems in mathematics. Place value helps in understanding the base 10 number system. Place value worksheet is an important tool to understand the concept, and helps students develop logical, problem-solving and reasoning skills. Place Value Each digit in a multi-digit number has a specific position in that number, which is defined by the base 10 number system. When a multi-digit number is written in numerical form, the position of a number can vary from unit to infinity. Place Value Chart For a 10-digit number, the following table represents the placement of ... Read More
Introduction Usually, various physical entities are expressed in a mathematical equation that includes several variables. A function can represent the nature of variables during the process. A function can be graphically presented between the variable and the desired response. However, most of the time, we need to find the specific points at which the function gives a maximum and a minimum value. In this direction, the derivative test, which is a fundamental concept of calculus, is found to be quite helpful. In this tutorial, we will learn about the derivative, its application in optimization, and the determination of maxima and ... Read More
Introduction Before we learn about multiple linear regression, let us understand what linear regression is. Linear regression helps in determining the relationship between two variables in data sets. As already stated linear regression has its limitation to two variables. Therefore, multiple linear regression helps in determining the relationship between more than two variables. Though multiple linear regression cannot overcome the weakness of linear regression, multiple linear regression is used to make a regression model with multiple independent variables and single dependent variable. Multiple linear regression is used most importantly in econometrics and financial inference. Definition Simple ... Read More
Introduction Probability is the possibility of happening an event. In the other words, it is the ratio of the total number of favorable outcomes to the total number of favorable outcomes and if the probability is one it means an event is a sure event or if the probability is zero then it means that event will not happen. Probability is simply a useful description (in the form of a mathematical model) for experiments whose exact outcome is difficult to predict in advance When you toss a coin, it's tough to know in advance if a head or a ... Read More
When doing anything online, like visiting a website or specifying where to send an email, you're likely to come across a long string of characters. This strange bundle of text is called a URL, which stands for Uniform Resource Locator. A URL helps specific computers know where they can find the page or data the user is looking for. Understanding the URL structure is essential knowledge if you want to surf the web easily and confidently—luckily, decoding them isn't as difficult as it appears! In this post, we will explore the five basic pieces that make up every single URL ... Read More