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Mathematics articles — Page 24

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 24 of 30

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Phase space

We can use maps to see how things move. These maps show where a thing is. They also show how fast it goes. This helps us see the future. It helps us see the past too. Can you think of a moving thing?

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Philippa Fawcett

Philippa was very good at math. She got the top score on a big test. She even taught others how to learn. Her work helped many people. Do you like to work with numbers?

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Philosophical logic

We use rules to think well. These rules help us find the truth. Some rules help us talk about time. Other rules help us talk about what we know. We can use these rules every day. Do you like to solve puzzles?

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Picard theorem

Math can show us patterns. Some math rules tell us about numbers. These rules show how many values we can find. We can find almost any number we want. It is like a magic trick with math. Can you find a pattern?

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Piecewise function

Some math rules change. They work in parts. One part may go up. Another part may go down. This helps us draw shapes. It is like a path with turns. Can you find a path with turns?

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Pierre Louis Maupertuis

Pierre was a man who loved math. He wanted to know about our world. He even went on a trip to find the shape of the Earth. This helped many people learn. Math helps us see how things work. Do you like to solve puzzles?

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Pigeonhole principle

Imagine you have many birds. You have only a few nests. Some nests must have two birds. This is a rule of counting. It helps us find things. It is like sharing socks. Do you like to count things?

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Pingala

Long ago, a man named Pingala lived in India. He loved poems and patterns. He found ways to count sounds in words. He even used a symbol for zero. He helped us see how numbers work. Can you find a pattern today?

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Planar graph

You can draw lines and dots. Some lines can stay apart. They do not cross each other. This makes a neat shape. It is like a map. Can you draw lines that do not touch?

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Platonic solid

There are five special shapes. They are very even. Each side is the same. They look very neat. These shapes are fun to see. Can you find a cube?

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Poisson bracket

Math helps us see how things move. It can show how things change over time. This helps us know where things will go. It is a very big idea. Do you like to see how things work?

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Poisson point process

Dots can fall in random spots. They do not follow a plan. One dot does not care about the others. We see this with trees in a forest. It helps us study the world. Can you find dots in a pattern?

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Polynomial ring

Math uses patterns. We can use them to group things. We can also use them to find more. This helps us solve puzzles. It is like a game with numbers. Can you find a pattern today?

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Position (geometry)

We can show where things are. You can pick a starting spot. Then you draw a line to a point. This line tells you where to go. It shows how far to move. It helps us find things in space. Where is your favorite toy?

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Posterior probability

You can learn new things. You start with what you know. Then you see something new. This new thing helps you learn more. It changes what you think is true. It is like a smart guess. Can you make a smart guess?

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Potential theory

Math helps us see how things work. It can show how magnets pull. It can show how things fall. This helps us know what comes next. Math is all around us. Can you find math at home?

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Power rule

Math helps us find rules. These rules work with numbers. They help us see how things change. This helps us learn more. It is very fun to learn. Can you find math in your room?

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Power series

Math can use long lists of numbers. These lists can go on and on. They help us see how things grow. They can even help us draw shapes. We use them to solve puzzles. Can you find patterns in numbers?

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Power set

Imagine you have a bag of toys. You can pick some toys to play with. You can even pick none at all! All the ways you can pick toys are part of a group. This group helps us see every choice. Do you have a bag of toys?

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Prediction

A prediction is a guess about the future. It can help you make a plan. We use what we know to guess. It is not always right. Can you guess what will happen next?

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Premise

We use facts to find a truth. These facts help us make a point. If the facts are true, we win. It helps us think well. It is like a puzzle for your mind. Can you find the truth?

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Prenex normal form

Math can use special rules. We can move parts of a math sentence. This makes the sentence easy to read. It helps us solve hard puzzles. We can use these rules to find truth. Do you like math puzzles?

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Preorder

Math helps us find how things fit. We can see how things link up. Some things go in a line. This helps us group things together. It makes sense of the world. Can you find a pattern?

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Primality test

We can test numbers. Some numbers are special. We check if they can be split up. This helps us keep secrets safe. It is a fun math game. Can you find a special number?

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Prime-counting function

Some numbers are very special. We can count them. We look for prime numbers in a big group. We see how many there are. It helps us learn about numbers. Can you find a special number?

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Primitive recursive function

Math helps us solve puzzles. We can use it to count. We can use it to add. It can help us find patterns. Math is all around us. Do you like math?

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Prim's algorithm

We can connect dots with lines. We want to use the shortest lines. We pick the smallest line first. Then we find the next small line. This helps us save space. It is like making a path. Can you find the shortest way?

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Principal component analysis

Sometimes we have too much data. It can be hard to see. We can find the best way to look at it. This helps us find patterns. It makes big groups easier to see. Can you find a pattern?

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Principia Mathematica

Two men wrote a big book. It is about math. They used math to solve puzzles. It helps us see how math works. It is a very famous book. Do you like math puzzles?

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Principle of explosion

Things should not be two ways at once. If one thing is true and false, it breaks. Then everything can be true. Even unicorns could be real! We must be careful with our facts. Do you like to find truths?

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Prior probability

You can guess things before they happen. You might guess if it will be hot tomorrow. You use what you know to help you. Then you see what really happens. This helps you learn more. What do you think will happen next?

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Prism (geometry)

A prism is a solid shape. It has two flat ends. These ends look the same. The sides connect the two ends. A box is a prism. Can you find one in your house?

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Probability mass function

We use math to guess what might happen. It helps us know the chance of things. You can use it with a coin or a die. It shows if a thing is likely. It helps us plan. Can you guess what comes next?

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Probability space

We use math to guess what happens next. It helps us look at all the ways a game can go. We can count the ways to win. This helps us know what might happen. It is like a map for surprises. Do you like to play games?

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Product (category theory)

We can put things together. We can make one new thing. This new thing holds both parts. It helps us see how they fit. It is a way to join groups. Can you think of things to join?

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Product (mathematics)

You can put groups together. This is called a product. It is what you get when you multiply. It helps us count things. We use it every day. Do you like to count things?

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Product rule

Math helps us see how things change. It can show how two things grow together. We use it to find new shapes. It helps us understand the world. Math is like a puzzle. Can you find math in your room?

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Projection (linear algebra)

You can cast a shadow on a wall. This is like a math trick. It makes a shape look flat. You do it once to find a spot. Doing it again stays in that same spot. It helps us see things in a new way. Can you find a shadow?

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Projective geometry

Think about train tracks. They look like they meet far away. This is how we draw things. We look at shapes in new ways. It helps us see how lines meet. It is a fun way to look. Can you see it too?

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Projective plane

Lines can meet in new ways. Some lines look like they touch far away. In this math, every line meets. No lines stay apart. This helps us see shapes. It is very neat! Can you see the lines meet?

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Projective space

Look at long train tracks. They look like they meet far away. We can use math to show this. It helps us draw things. It helps us see the world. Can you see the lines meet?

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Proof theory

We use steps to show a truth. We write these steps down. It is like a long list. These lists help us think. They help us check our work. We can see if it is right. Can you find a pattern?

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Pseudoprime

Some numbers act like special ones. They look like they belong in a group. But they are not in that group. This can trick us. It helps us keep secrets safe. Can you find a trick number?

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Pushdown automaton

A machine can use a stack. A stack is like a pile of trays. You only use the top one. This helps the machine remember things. It can add or take away. This helps it solve puzzles. Can you think of a stack?

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Push–relabel maximum flow algorithm

We can move things through a path. We push things to new spots. We change the height to help. This helps us find the best way. It is a very fast way to work. Can you find a path?

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Pyeong

People use a unit to measure rooms. It tells us how big a house is. You can use it to see a floor. This helps us know if a room fits. It is used in Korea. Can you think of your room size?

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Pyramid (geometry)

A pyramid has a flat bottom. It goes up to one point. The sides are triangles. You can see them in many shapes. They are fun to look at. Can you find a pyramid?

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Qin Jiushao

Qin Jiushao was a smart man. He loved numbers and shapes. He made tools to catch rain. These tools helped people grow food. He lived a long time ago. Can you find shapes in your room?

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