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Mathematics articles — Page 13

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 13 of 30

For printable practice and answer guides, visit Maths worksheets.

Differentiation of trigonometric functions

Math helps us see how things change. We can look at shapes like circles. We can see how they move. This helps us know what comes next. It is a fun way to learn. Can you find shapes in your room?

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Differentiation rules

We can use math to see how things change. It helps us see if a line goes up or down. Some lines stay flat and do not move. This math helps us find those paths. It is a way to see how things grow. Do you like to see…

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Diffusion equation

Tiny bits move all around. They bump into each other. They spread out in a group. This helps things mix well. It is how things move. Can you see things spread?

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Dihedral angle

Two flat sides can meet at a line. This meeting makes an angle. It is like an open book. We can see these angles in shapes. They can be big or small. Can you find a corner like this?

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Dijkstra's algorithm

A man named Dijkstra had a puzzle. He wanted to find the best way to travel. It helps find the shortest road between cities. This helps you get where you are going fast. It is a very smart way to think. Do you like…

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Dirac delta function

Some things are very small. Imagine a tiny, tall spike. It is almost like a quick tap. It helps us count things in one spot. It helps us see how things move. Do you like to count things?

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Directed acyclic graph

Think of points joined by lines. The lines have arrows. These arrows show you where to go. You can follow them in a path. But you can never go in a circle. You will never end up where you started. This helps us plan…

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Directed graph

Dots can be joined by lines. These lines have arrows. The arrows show which way to go. You follow the arrow from one dot to the next. It is like a map for paths. Can you follow the arrows?

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Directional derivative

Imagine you are walking on a hill. You can go up or down. Some paths go up fast. Some paths go up slow. This math helps us see how much the hill changes. It tells us how steep the path is. Where will you walk?

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Direction (geometry)

You can point in a way. This is called a direction. It shows where things go. It helps us find the way. We use it every day. Which way will you go?

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Dirichlet character

Math can find patterns in numbers. We can group numbers in a way that repeats. This helps us see how numbers work. It is a way to study numbers. Can you find a pattern in your toys?

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Dirichlet problem

Math can help us find shapes. We know the edges of a shape. We want to find the middle. It is like a puzzle. This helps us learn how things work. Can you find shapes around you?

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Dirichlet series

Math uses long lists of numbers. These lists help us count things. They can show us patterns. We use them to learn about shapes and more. Math helps us understand our world. Do you like to count things?

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Dirichlet's theorem on arithmetic progressions

Numbers can follow a pattern. You can jump by the same amount each time. Some special numbers are in these patterns. These are called prime numbers. There are many of them. They never stop. Can you find a pattern?

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Discrete logarithm

Math can be a big puzzle. You can use numbers to hide secrets. It is hard to find the missing number. This helps keep our computers safe. It is like a secret code. Can you find the pattern?

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Displacement (geometry)

You move from one spot to another. This move is called a shift. It shows how far you went. It also shows which way you went. This helps us know where you are. Can you find a new spot to sit?

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Divergence

Think about air moving. Sometimes air moves out. This can happen when air gets hot. Sometimes air moves in. This can happen when air gets cold. We can see how things flow. Can you feel the wind move?

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Divergence theorem

Think about water in a tub. Water can flow in or out. If a pipe adds water, it flows out. If a drain takes it, it flows in. We can count all the flow. It helps us learn about how things move. Can you see water moving?

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Divergent series

Sometimes numbers grow and grow. They do not stop at a small number. They keep getting bigger and bigger. This can be hard to use. But math has ways to help. We can find a new way to look at them. Can you find a…

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Divisibility rule

You can find math tricks. They help you use numbers fast. You do not need to count all. You just look at the digits. It is like a secret code. Do you want to try one?

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Division by zero

Sharing things can be fun. Imagine you have ten cookies. You want to share them with zero friends. How many does each friend get? It does not work! You cannot share with no one. It is a math puzzle. Can you find a…

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Divisor

You can split things into equal groups. Some numbers share well. You can split them with no bits left over. This helps us count and share. It is like sharing snacks with friends. Can you find a number that shares well?

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Dodecahedron

Some shapes have twelve flat sides. These sides can be many things. Some sides look like stars. These shapes can be found in rocks. They are very cool to see. Do you like shapes?

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Domain of a function

Some rules need certain things to work. You pick a number to start. The rule uses that number. Some numbers might not work. This set of numbers is the domain. It helps the rule stay on track. Can you find a rule? Do…

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Domain theory

Math can help us learn more. We can start with a little bit. Then we add more bits. Each bit gives us a new clue. This helps us find the full answer. It is like a puzzle. Can you find all the pieces?

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Doris Schattschneider

Doris loved shapes and patterns. She studied how shapes fit together. She helped show others their great work. This helped many people learn math. She was a very good teacher. Do you like patterns too?

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Dorothy Lewis Bernstein

Dorothy loved math. She used numbers to solve puzzles. She was a great teacher too. She helped women work with computers. She led a big group of math people. Do you like math?

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Double counting (proof technique)

You can count things in two ways. You might count rows first. Then you can count columns. It is still the same group. Both ways give the same answer. This helps us know we are right. Can you find two ways to count…

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Douglas Hartree

Douglas liked to solve puzzles. He used math to find answers. He even built a machine to help him. This machine helped people do work fast. He was a very smart man. Can you find patterns in your room?

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Douglas Sirk

Douglas Sirk made many movies. He worked in a place called Hollywood. His films had bright colors. People love his work now. Do you like movies?

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Dry measure

We use tools to measure things. We can measure beans or grain. We use bins to hold them. Some bins are filled to the top. Others have a big heap on top. This helps us know how much we have. Do you like to count things?

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Duality (optimization)

You can look at a problem in two ways. One way is to find the smallest amount. The other way is to find the biggest amount. They work like a pair. These two ways help us find the right answer. Can you see both sides?

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Ecological fallacy

A group can act one way. But one person might be different. A big group has a mean. That is a middle number. A person in the group can be far from it. Do not guess about one person. Use the group to see the whole.…

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Edge contraction

Imagine dots and lines. We can pull two dots together. The line between them goes away. Now they are one big dot. This helps us make shapes simple. It is like a magic trick. Can you draw a new dot?

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Edge cover

Imagine dots joined by lines. We want to touch every dot. We can use the lines to do this. We try to use just a few lines. This helps us solve a puzzle. Can you find the lines?

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Edmund Gunter

Edmund Gunter loved math. He made tools to help people. He made a long chain to measure land. He made tools to look at stars. His tools helped sailors on the sea. Math helps us see the world. Can you find shapes in…

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Edward Norton Lorenz

A man named Edward studied the weather. He used a computer to see storms. Small changes can make big changes later. This helps us know about the wind. It helps us know about rain too. Do you like to watch the clouds?

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Edward Tufte

Some people help us see facts. They use pictures to show numbers. These pictures help us learn fast. They make hard things easy to see. It is a smart way to work. Do you like looking at charts?

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Egyptian fraction

Long ago, people in Egypt used math. They shared food in fair ways. They split one thing into small parts. You can use this to share pizza. It helps everyone get the same amount. It is a fun way to count. Can you…

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Egyptian numerals

Long ago, people in Egypt used pictures for numbers. They drew small signs to count. They used these signs for many things. It helped them keep track of things. Do you like to draw pictures?

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Einstein notation

Math can use short ways to write. A man named Albert Einstein made one. It helps us write big math fast. It saves a lot of space. It makes math look clean. Do you like short ways to write?

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Elementary equivalence

Some things can be the same. They might look a bit different. But they follow the same rules. This helps us learn a lot. It is like a game with rules. Do you like games with rules?

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Elementary function

Math uses special rules. These rules help us find patterns. We can use them to count things. They help us work with shapes. These rules are everywhere you look. They help us learn. Can you find a pattern today?

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Element of a set

You can put things in a group. These things are called members. A group can have many things. It can have a few things. It can even have colors. We use groups every day. What is in your group?

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Élie Cartan

A man named Élie loved math. He was a very smart student. He solved big puzzles with numbers. His work helps us understand shapes. He was a great teacher too. Do you like math puzzles?

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Ellipsoid method

We use shapes to find things. Imagine a round shape like an egg. We make the egg smaller and smaller. It helps us find a tiny spot. This spot is the answer we want. It is like a game of hide and seek. Can you find…

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Elliptic curve

A curve is a smooth line. It can loop and bend. Some curves have a special rule. This rule helps us find new points. It is like a game with shapes. It helps us keep secrets safe. Can you find a curvy line?

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Elliptic function

Some shapes and patterns repeat. They go round and round. They look like a tile on a floor. This pattern stays the same. It helps us study shapes. Do you see patterns in your room?

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