What Kinds of Math are Used in Programming

Programming is an interactive process, and at times, it can be tedious. Sometimes it can come down to an equation. With the help of math, programming becomes a more manageable task and more interactive, turning down what would have been huge research projects into a few data inputs.

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In this article, we will explore the different kinds of math that are used in programming. They are mathematical operations, geometry, and calculus.

Maths students often find the subject intimidating, but it is an important subject to learn to be a successful programmer. You can make use of some math assignment help. Some math that college students need to know for programming are basic algebra, geometry, trigonometry, and calculus. Suppose you are interested in programming and would like to include mathematics in your studies. In that case, you should consider taking courses such as Calculus I and II or Statistics and Probability.

Binary Mathematics

The field of programming relies heavily on binary mathematics, making it one of the most significant subfields of mathematics.

Binary mathematics also serves as the industry’s central focus. As a result, this subfield of mathematics is the one to focus on to become proficient in programming. To represent each number in a computer’s code, binary code, which uses the binary number system rather than the more commonplace decimal system, is utilized.

The process of coding can be made easier with the use of binary code, which is also necessary for the low-level instructions required for hardware programming. You will need to be familiar with the hexadecimal numbering system to do certain actions, such as changing the color of an item. In addition to this, the traditional arithmetic operations of addition, subtraction, multiplication, and division are used inside the realm of binary mathematics.

Algebra

Students need to be proficient in college algebra to move on to more advanced levels of mathematics because it is one of the foundational mathematics subjects. Beyond the most fundamental arithmetical operations, algebra is one of the most established branches of mathematical study.

The emphasis is placed on graphs and equations, as well as the ability to solve equations with variables that are not known. Programming computers requires an understanding of algebra to create algorithms and software that can operate with mathematical functions. In addition to this, it participates in the design of programs for numerical programs.

Statistics

A branch of mathematics known as statistics education concludes data sets by employing quantified models, representations, and summaries. The discipline of computer science is similar to many others in that statistical analysis can serve a wide variety of functions, which is also true in many other fields.

Researchers can deduce conclusions about underlying trends and make predictions about future behavior and trends through the use of statistics, which allows for the analysis of data. The analysis of regression, the mean, variance, analysis of variance, skewness, and kurtosis are all examples of metrics that are utilized in statistics.

The field of computer science employs statistics in the process of regression analysis, as well as in data mining, information extraction, traffic modeling, voice recognition, sense of direction and image processing, and artificial intelligence. Statistics is also used in the study of images.

Calculus

Calculus is the study of change through time by calculating the derivatives and integrals of functions. Calculus, as a consequence of this, is often split into two subfields that are complementary to one another: differential calculus and integral calculus.

The study of rates of change when a quantity is known is the focus of differential calculus. Integral calculus, on the other hand, focuses on studying quantities even when a rate of change is already known.

Calculus is useful in computer science, just as in other disciplines, particularly when working with problems involving rates of change. Calculus is utilized in the field of computer science for the creation of graphs and other visualizations, the programming of applications, the development of ways to answer statistical questions, applications that facilitate problem-solving, simulations, and the design and analysis of algorithms.

Discrete Mathematics

Discrete mathematics is a prerequisite for any computer science degree because it is the heavyweight of the computer science math fields. When we talk about discrete mathematics, we’re talking about things that can be represented in a finite number of ways utilizing techniques such as logic, numbers, graphs, and probability. Discrete mathematics is crucial to all aspects of computer science.

Conclusion

The kind of math you have to master all depends on the type of programming language or framework you are interested in.

Different programming languages or frameworks require different levels of knowledge, so it is crucial to know what type of math you need before starting the class and enrolling in the course.

Should computer programming take priority over math in the high school curriculum?

If we take a look at the world as we know it today, we can easily spot that technology has taken over our lives. It is so deeply intertwined with everything we do that it would be difficult and challenging to give up using it at all.

This, along with the popularity of some of the richest people on the planet, has created a collective wish: to try to be like them or even better. More and more children want to be computer scientists, to invent the next Facebook or Microsoft. And a legit question has appeared.

Should computer programming take priority over the math in the high school curriculum? If students want to learn more about computer science, should we make it a priority over other subjects? Should the high school math curriculum be changed? Let’s find out the answer to these questions.

Should computer science be made a priority over math?

The direct and clear answer to this question is no. Even though many students in high school would love to learn more about computer science, coding, and programming, this does not mean that it should be a priority over math.

Math anxiety is a real thing that is more and more present in our schools. And both students and their parents are trying to find solutions to cope with it easily. In this case, learning computer science might seem more attractive. It seems that it can help you build a nice future career, especially as there are a lot of resources you can access. But these subjects complement each other nicely.

Concepts you study in math will be useful in computer science too. Learning computer science without math will make it more difficult to evolve and build a solid knowledge base. Many high school math questions shed more light on some challenging computer science concepts, such as algorithms. No matter if you do online high school math, or you go to classes, what you learn during these hours will be of tremendous help.

However, learning computer science is just as important as learning mathematics. Let’s see why.

Having an Advantage

Considering the fact that technology is so deeply intertwined with our lifestyles, knowing how to use it is always a plus. But anyone knows how to use a smartphone or smartwatch as they are user-friendly. But what happens if you want to go beyond the traditional user interface? What happens if a nice idea strikes you, and you want to try it and see how it works?

Well, for this you need computer science knowledge. Which can be developed and improved during high school, with an equal emphasis on math too. Having at least the basic knowledge to get started in computer science or build your custom app can prove to be an advantage.

Computer Science Can Be Used to Teach Math

The best math apps for high school have a few modules that help you practice the easiest and most difficult math concepts equally. But sometimes, learning math can feel like a burden. As mentioned above, math anxiety is something common, and it can be triggered by a lot of factors. But what is important is that math just builds upon the previous year.

So, if you haven’t understood the math concepts taught earlier, it would be difficult to advance. Well, this is the case for many students. And computer science can be used to teach math. High school students are more attracted by new technologies, platforms, and apps to use and discover. And because computer science relies on math concepts, it can be used to teach math to students too.

Like this, students can understand the connection of math with real life too. A lot of them think that what they learn during math classes will not be useful later in life. Some even ask themselves how integrals, derivatives, or matrices help them. But if you understand that all these complex concepts are present in computer science in one way or another, learning them might be easier.

Final Words

Many students and people fail to understand that math is present in our everyday life. And as computer science is a much more appealing subject, many think about it taking priority over the math in the high school curriculum. Even though this might sound nice, these two subjects complement each other, and they should be given equal priority.

How do I do math operations using Spring EL?

As we know that the simplest value that can be expressed in the Spring EL is a literal value such as number. Furthermore, we can also do math operations using the Spring EL. The spring configuration below show you how can do math operations using the Spring Expression Language. These operations include:

  • Add operation (+)
  • Subtract operation (-)
  • Multiply operation (*)
  • Divide operations (/)
  • Modulo operation (%)
  • Power operation (^)
<?xml version="1.0" encoding="UTF-8"?>
<beans xmlns="http://www.springframework.org/schema/beans" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
       xsi:schemaLocation="http://www.springframework.org/schema/beans http://www.springframework.org/schema/beans/spring-beans.xsd">

    <bean id="myBean" class="org.kodejava.spring.core.el.MyBean">
        <property name="total" value="#{50 + 50}" />
        <property name="length" value="#{100 - 10}" />
        <property name="size" value="#{10 * 10}" />
        <property name="reminder" value="#{10 % 3}" />
        <property name="distance" value="#{1000 / 10}" />
        <property name="power" value="#{2 ^ 10}" />
    </bean>

</beans>

The configuration above requires a bean / pojo called MyBean. It’s a simple class with some fields and getters and setters. Followed later by a simple class called SpELMathOperationDemo that demonstrate the Spring EL math operations.

package org.kodejava.spring.core.el;

public class MyBean {
    private int total;
    private int length;
    private int size;
    private float distance;
    private int reminder;
    private int power;

    public int getTotal() {
        return total;
    }

    public void setTotal(int total) {
        this.total = total;
    }

    public int getLength() {
        return length;
    }

    public void setLength(int length) {
        this.length = length;
    }

    public int getSize() {
        return size;
    }

    public void setSize(int size) {
        this.size = size;
    }

    public float getDistance() {
        return distance;
    }

    public void setDistance(float distance) {
        this.distance = distance;
    }

    public int getReminder() {
        return reminder;
    }

    public void setReminder(int reminder) {
        this.reminder = reminder;
    }

    public int getPower() {
        return power;
    }

    public void setPower(int power) {
        this.power = power;
    }
}
package org.kodejava.spring.core.el;

import org.springframework.context.support.ClassPathXmlApplicationContext;

public class SpELMathOperationDemo {
    public static void main(String[] args) {
        try (ClassPathXmlApplicationContext context =
                     new ClassPathXmlApplicationContext("spel-math-operation.xml")) {
            MyBean bean = (MyBean) context.getBean("myBean");
            System.out.println("bean.getTotal()    = " + bean.getTotal());
            System.out.println("bean.getLength()   = " + bean.getLength());
            System.out.println("bean.getSize()     = " + bean.getSize());
            System.out.println("bean.getReminder() = " + bean.getReminder());
            System.out.println("bean.getDistance() = " + bean.getDistance());
            System.out.println("bean.getPower()    = " + bean.getPower());
        }
    }
}

And these are the output printed out by the code snippet:

bean.getTotal()    = 100
bean.getLength()   = 90
bean.getSize()     = 100
bean.getReminder() = 1
bean.getDistance() = 100.0
bean.getPower()    = 1024

Maven Dependencies

<dependencies>
    <dependency>
        <groupId>org.springframework</groupId>
        <artifactId>spring-core</artifactId>
        <version>5.3.23</version>
    </dependency>
    <dependency>
        <groupId>org.springframework</groupId>
        <artifactId>spring-beans</artifactId>
        <version>5.3.23</version>
    </dependency>
    <dependency>
        <groupId>org.springframework</groupId>
        <artifactId>spring-context-support</artifactId>
        <version>5.3.23</version>
    </dependency>
</dependencies>

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How do I calculate the length of hypotenuse?

Hypot is a mathematical function defined to calculate the length of the hypotenuse of a right-angle triangle. It was designed to avoid errors arising due to limited-precision calculations performed on computers.

From: Wikipedia

The Math.hypot(double x, double y) return the sqrt(x2+ y2) without intermediate overflow or underflow. The result will be same with this calculation Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2)).

package org.kodejava.math;

public class HypotExample {
    public static void main(String[] args) {
        double number1 = 3.0d;
        double number2 = 5.0d;

        // calculate square root of total value of
        // number1 ^ 2 + number2 ^ 2
        double sqr = Math.hypot(number1, number2);

        System.out.println("Total value = " +
                (Math.pow(number1, 2) + Math.pow(number2, 2)));
        System.out.println("Square root = " + sqr);
    }
}

How do I calculate exponential function?

In mathematics, the exponential function is the function ex, where e is the number (approximately 2.718281828) such that the function ex equals its own derivative. The function f(x) = ex at the point x = 0 is equal to 1.

package org.kodejava.math;

public class ExponentExample {

    public static void main(String[] args) {
        double x = 0.0d;

        // calculates e raised to the power of x (e^x)
        double fx = Math.exp(x);

        // calculates e raised to the power of x minus 1 (e^x - 1)
        double fxm1 = Math.expm1(x);

        System.out.println("fx   = " + fx);
        System.out.println("fxm1 = " + fxm1);
    }
}