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Mathematics articles — Page 3

Explore the ideas and history behind numbers, shapes, patterns and mathematical thinking. Choose an article below; its reading controls let you move between the available levels.

1,419 public articles · Page 3 of 30

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Correlation

Some things change together. When it is hot, people use more power. One thing helps us guess the next. This is called a link. It helps us plan for the day. Do you see things that change together?

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Covariance

Some things change together. One thing goes up, and another goes up too. Or one goes up, and the other goes down. This helps us see how they act. It is a way to find a link. Can you see things that change together?

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Cross product

Imagine two arrows pointing ways. They can make a new arrow. This new arrow points up. It stands straight from the first two. It helps us find space. It is a cool trick. Can you find two arrows?

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Curve

A curve is a line that bends. It is not straight. Think of a dot moving on paper. The dot leaves a path behind. This path is a curve. It can go round and round. Do you see curves in your room?

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Daniel Bernoulli

Daniel Bernoulli loved numbers. He studied how things move. He looked at how water flows. He also looked at how air moves. His work helps planes fly high. He was a very smart man. Do you like to count?

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David Hilbert

David Hilbert loved math. He worked with many shapes and numbers. He helped people learn new ways to think. He wanted to solve every puzzle. Math helps us learn about our world. Do you like to solve puzzles?

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Decimal

We use ten digits to count. We have ten fingers on our hands. This helps us make numbers. We use dots to show parts of a whole. This helps us be very exact. Do you like to count?

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Deductive reasoning

You can use facts to find new truths. If you know something is true, you can find what comes next. This helps you think well. It is like a puzzle for your brain. Do you like to solve puzzles?

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Degree (angle)

We use degrees to turn. A full turn has 360 degrees. This helps us find where we are. It helps us see the sun move. It is a way to measure a turn. Do you like to spin in a circle?

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Del

We use a special sign in math. It helps us see how things change. It can show a steep hill. It can show how things spin. This helps us learn about the world. Can you find this sign in a book?

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Derivative

Math helps us see change. It shows how things move. It can track a fast car. It can track a slow ball. This helps us know what happens next. It is very cool. Can you see things changing?

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Design of experiments

We can test new ideas. We change one thing to see what happens. This helps us learn. It can help us grow food. It helps us make things. Do you like to test things?

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Determinant

Math can help us find size. It can tell us the area of a shape. It can even find the space inside a box. This helps us know how big things are. It is a very cool tool. Can you find shapes in your room?

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Differential calculus

Some things change fast. Some things change slow. We can see how they change. It helps us know what comes next. It is like watching a car go. Do you like to watch things move?

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Differential equation

Math helps us see how things change. It tracks how fast a ball falls. It can show how heat moves. This helps us learn about our world. Math is all around us. Can you find a pattern today?

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Differential geometry

We can study smooth shapes. Some shapes are flat. Some shapes curve like a ball. We can measure how they bend. This helps us learn about space. It even helps us learn about stars. Do you like shapes?

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Dimension

We can move in many ways. A line lets us move one way. A flat shape lets us move two ways. A box lets us move three ways. These ways help us find things. It is like a map. Can you find a box?

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Diophantine equation

Math can be a fun puzzle. You look for whole numbers. These numbers fit in a math rule. It is like finding the right pieces. Can you solve the puzzle? Try to find the numbers!

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Diophantus

A man named Diophantus loved numbers. He wrote books about math puzzles. He used math to find hidden answers. His work helps us learn today. Math is like a fun game. Can you find a math puzzle?

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Discrete uniform distribution

Some things can happen in many ways. Each way has the same chance. It is like a fair die. You might roll a one or a six. Every number is just as likely. This helps us guess what comes next. Can you think of a game…

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Distributive property

You can share things in a fair way. Imagine you have two bags. Each bag has three treats. You can count them all. You can also add the bags together first. It works the same way! Math helps us do this. Do you like to…

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Division (mathematics)

You can share things fairly. Imagine you have many apples. You give them to your friends. Each friend gets the same amount. This is how we share. It helps us be fair. Can you share your snacks?

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Donald Knuth

Donald loves math and computers. He finds new ways to solve puzzles. He even wrote books about math. These books help us learn. He helps us make computers work well. Do you like to solve puzzles?

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Dot product

We use math to look at arrows. These arrows show a path. We can use math to find how long they are. It also helps us see the space between them. Math helps us see how they fit. Can you find arrows in your room?

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Dynamical system

Things change over time. A clock swings back and forth. Planets move in the sky. This helps us see what comes next. It helps us know the future. Can you see things change?

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Dynamical systems theory

We can use math to see how things change. It helps us see how a clock swings. It can show how fish live in a lake. Math helps us know what might happen next. It is a fun way to look at our world. Can you see how…

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Eigenvalues and eigenvectors

Some arrows stay on their path. When things move, they can stretch. Most arrows turn or tilt. But some arrows only get longer or shorter. They do not change direction. This helps us see how things move. Can you find…

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Elementary algebra

Math uses letters to help us. These letters stand for numbers. We do not know the numbers yet. They can be any number we choose. This helps us solve big puzzles. Can you find a letter in a math problem?

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Ellipse

An ellipse is a round shape. It looks like a circle that is stretched out. Some are long and some are wide. You can see them in space. Planets move in these shapes. Can you find an ellipse in your house?

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Emmy Noether

Emmy Noether loved math. She found new ways to use numbers. She was very smart. Her ideas help us learn about the world. She was a great teacher. Can you find patterns in math too?

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Empty set

Imagine an empty bag. It has nothing inside. In math, we call this a set. It is a special group with zero things. This group is called the empty set. It is very important. Do you have an empty bag?

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Equation solving

Math puzzles have missing parts. We use numbers to find them. It is like a game. We look for the right answer. This helps us solve problems. Can you find the missing number?

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Equivalence relation

Some things are the same. One thing is like itself. If A is like B, then B is like A. This helps us group things. We can group things that share a birthday. It helps us see patterns. Can you find things that are the…

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Euclidean algorithm

We can find a special number. It is the biggest number that fits into two other numbers. A man named Euclid found this a long time ago. It helps us work with numbers. Can you find a big number that fits into two…

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Euclidean geometry

We can study shapes and lines. This helps us see how things fit. It uses dots and straight lines. We use it to build things. It is very fun to learn. Do you like shapes?

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Euclidean plane

A plane is a flat space. You can draw shapes on it. You can draw a square or a circle. It helps us find where things are. It is all around us. Can you find a flat shape?

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Euclidean vector

An arrow shows a way to move. It shows how far to go. It also shows which way to go. This helps us talk about force. It helps us talk about speed. It is very useful. Can you see an arrow?

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Euclid's Elements

A man named Euclid wrote a big book. It is about shapes and numbers. It tells us how lines and circles work. We use these ideas every day. It is a very famous book. Can you find a circle?

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Euclid's theorem

Some numbers are very special. We call them prime numbers. These numbers never end. There are always more to find. This helps us understand math. It is a big secret of numbers. Can you find a prime number?

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Euler characteristic

Math can help us see shapes. We can count corners and sides. We can also count the flat parts. These numbers tell us about a shape. It stays the same even if we bend it. Do you like shapes?

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Euler's formula

Math can show us shapes. It can show us circles. A man named Euler found a special way to see them. This helps us with science and building things. It is a very big idea. Can you find shapes in your room?

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Euler's identity

Some math rules are very special. They link many math ideas together. One man named Euler found a way. It is a very pretty rule. It helps us see how numbers work. Do you like math too?

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Évariste Galois

Évariste Galois was a math star. He loved to solve hard puzzles. He found new ways to use numbers. His ideas help us today. He was a very smart man. Can you love math too?

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Expected value

Math helps us guess what might happen. We can look at many games. We see what is likely to happen. This helps us plan for the future. It is like a smart guess. Can you guess what comes next?

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Exponential distribution

We can count the time between things. It tells us when things might happen. It helps us see how much time goes by. This helps us plan for what is next. It is a very handy tool. Can you think of things that happen?

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Exponential function

Some things grow very fast. They start small. Then they get big very quickly. This helps us see how money grows. It also shows how groups of living things grow. Can you see things grow fast?

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Factorial

You can count ways to line up toys. First, you pick one toy. Then you add more to the line. Each new toy makes many more ways. It grows very fast! Can you line up your blocks?

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Fallacy

Sometimes people say things that do not make sense. They might try to trick you. They might just be wrong by mistake. It is good to listen closely. This helps you find the truth. Can you spot a bad idea?

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