Elliptic geometry
Lines can meet in new ways. On a ball, lines always touch. They never stay apart. This makes a special shape. It is not flat like a floor. Can you find a ball?
Early Reader · Change the reading level on the articleMathematics articles — Page 14
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 14 of 30
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Elliptic operator
Math helps us see how things stay still. It can help us study ice. It can also help us study electricity. These ideas help us understand our world. It is very cool! Can you find math in your room?
Early Reader · Change the reading level on the articleElliptic partial differential equation
Some math helps us see things that stay the same. It looks at things that do not change. This math can show how heat stays still. It can even show how shapes look. It helps us understand our world. Do you like to see…
Early Reader · Change the reading level on the articleElwyn Berlekamp
Elwyn Berlekamp loved math and games. He used math to help computers. He also studied games like Go. This helped people learn to play better. He was a very smart teacher. Do you like math games?
Early Reader · Change the reading level on the articleEmil Artin
Emil Artin loved math. He found new ways to use numbers. He also liked to play music. He was a great teacher. He helped many people learn. Do you like to count things?
Early Reader · Change the reading level on the articleÉmile Borel
Émile Borel loved math. He studied numbers and chance. He helped us understand how things happen. His ideas help us today. He was a very smart man. Do you like to count things?
Early Reader · Change the reading level on the articleEntire function
Some math rules work everywhere. They work on a big flat map. You can use them to find shapes. They help us count and grow. Math is fun to find! Can you find a shape?
Early Reader · Change the reading level on the articleEntropy (information theory)
Sometimes we do not know what will happen next. A coin flip is a good guess. You might not know if it is heads or tails. A surprise gives us new information. How much do you like surprises? Can you guess what comes next?
Early Reader · Change the reading level on the articleEntscheidungsproblem
Can a machine find all truths? Long ago, men asked this. They wanted a machine to say yes or no. It would solve any math puzzle. But two men found a secret. No machine can do this. Can you find a puzzle that is hard?
Early Reader · Change the reading level on the articleEnumerative combinatorics
We can count many ways to make patterns. You can count ways to line up cards. You can count ways to group things. This helps us see how many ways things can go. It is like a fun puzzle. Can you find a pattern today?
Early Reader · Change the reading level on the articleEpimenides paradox
A man named Epimenides lived long ago. He said all people from his home lie. But he was from that home! This makes a funny puzzle. Is he telling the truth or a lie? It is hard to say. Do you like puzzles?
Early Reader · Change the reading level on the articleEquality (mathematics)
Two things can be the same. They can have the same amount. One side matches the other. This helps us count well. It helps us share fairly. It is like a see-saw. Do you see things that are the same?
Early Reader · Change the reading level on the articleEquilateral triangle
A triangle has three sides. This one is special. All three sides are the same. All three corners are the same too. You can see it on road signs. It is a very neat shape. Can you find one?
Early Reader · Change the reading level on the articleEquivalence class
You can put things into groups. We group things that are the same. Some shapes might look alike. We put them in one group. Other shapes go in a new group. This helps us see patterns. Do you see groups around you?
Early Reader · Change the reading level on the articleErnst Kummer
A man named Ernst loved math. He studied numbers for a long time. He helped teach many people. His work helps us today. He was a great thinker. Do you like to count things?
Early Reader · Change the reading level on the articleErnst Zermelo
A man named Ernst Zermelo loved math. He looked at groups of things. He found new ways to sort them. He even helped with games like chess. His ideas still help us today. Do you like to sort your toys?
Early Reader · Change the reading level on the articleError
Sometimes things do not go as planned. You might make a wrong choice. A sign might be wrong. A book might have a typo. This can happen to us. It can even happen to machines. Have you ever made a mistake?
Early Reader · Change the reading level on the articleError function
Math helps us guess things. It can help us know if a mistake might happen. We use it to study how things change. This helps us talk and send messages. It is very useful. Can you find math in your day?
Early Reader · Change the reading level on the articleEstimation
You can guess a number. You might look at a jar. You see a few treats. You guess how many are inside. This helps you plan. Can you make a good guess?
Early Reader · Change the reading level on the articleEstimator
Sometimes we do not know a number. We can use a rule to guess it. This rule helps us find a good answer. It is like aiming at a target. We want to be close to the middle. Can you guess how many sweets are in a jar?
Early Reader · Change the reading level on the articleEuclidean space
We live in a big world. It has shapes and lines. We use math to see them. Math helps us know where things are. It is like a map for space. Can you find a shape near you?
Early Reader · Change the reading level on the articleEulerian path
Can you draw a shape? You must use every line once. You cannot lift your pen. Do not draw the same line twice. This is a fun puzzle. Can you do it?
Early Reader · Change the reading level on the articleEuler–Lagrange equation
We can find the best way to move. It helps us find the shortest path. It can show us how things fall. This math helps us understand our world. It is very cool. Do you like to find the best way to do things?
Early Reader · Change the reading level on the articleEuler method
We can guess the shape of a line. We take many small steps. Each step follows a path. Small steps help us stay close. This helps us find the right way. Can you draw a curvy line?
Early Reader · Change the reading level on the articleEuler's constant
Math has special numbers. Some numbers help us find patterns. One of these is a special number. It was found a long time ago. It helps us in many ways. Do you like to find patterns?
Early Reader · Change the reading level on the articleEuler's totient function
We can count special numbers. Some numbers fit together well. Others do not share parts. We can find how many fit. This helps us hide secrets in code. It is like a math puzzle. Can you find the pattern?
Early Reader · Change the reading level on the articleEuphemia Haynes
Euphemia loved numbers. She was a great teacher. She was the first Black woman to earn a big math degree. She helped many students learn. She worked hard to make schools fair for all. Do you like math too?
Early Reader · Change the reading level on the articleEven and odd functions
Some shapes look the same on both sides. They have a mirror look. Other shapes look the same if you turn them. This helps us see patterns. Math uses these shapes to help us. Can you find a mirror shape?
Early Reader · Change the reading level on the articleEvent (probability theory)
Think about picking a card. You might pick a red card. Or you might pick a king. These groups are called events. We can guess if they will happen. Can you name an event? It can be anything you pick!
Early Reader · Change the reading level on the articleExistential quantification
Sometimes we look for just one thing. We might say there is one red toy. We only need one to be right. It does not have to be all toys. Finding one is enough! Can you find one blue thing?
Early Reader · Change the reading level on the articleExpectation–maximization algorithm
Sometimes we have missing pieces of a puzzle. We can guess the pieces. Then we use those guesses to find better ones. We do this over and over. It helps us find the right answer. Can you find the missing pieces too?
Early Reader · Change the reading level on the articleExponential growth
Things can grow very fast. One tiny bug can split into two. Then those two make four. Soon, there are many more! This happens with videos online, too. It is like a big jump. Can you see things grow?
Early Reader · Change the reading level on the articleExponential integral
Math can show us how things change. It helps us track how heat moves. It can even help us learn about stars. This math is used in many ways. It helps us understand our world. Do you like math?
Early Reader · Change the reading level on the articleExtended Euclidean algorithm
We use math to find patterns. We can find the biggest number that fits into two others. This helps computers keep secrets safe. It is like a puzzle for us. Do you like math puzzles?
Early Reader · Change the reading level on the articleExtended real number line
We can use numbers to count. Some numbers go on and on. We can add a new idea for this. It is a way to say things are huge. This helps us with big math. Do you like big numbers?
Early Reader · Change the reading level on the articleExtensive-form game
Games have many paths. You can take turns. You can make choices. Sometimes you do not know a move. A game can also have luck. This helps us see how games work. Can you play a game with a friend?
Early Reader · Change the reading level on the articleExterior algebra
Math can help us see shapes. We can use it to find the size of a flat shape. It can also find the space inside a box. This helps us know how big things are. It is very cool! Can you find shapes near you?
Early Reader · Change the reading level on the articleExtrapolation
You can guess what comes next. You look at what happened before. Then you guess the future. It might be right. It might be wrong. Can you guess what happens next?
Early Reader · Change the reading level on the articleExtreme value theorem
Some lines go up and down. They have a high spot. They also have a low spot. These spots are easy to find. They help us know the most and the least. Can you find the high spot?
Early Reader · Change the reading level on the articleFactorial experiment
We can test many things at once. We can test how things work together. This helps us find the best way. It is a smart way to learn. It saves time and money. Do you like to try new things?
Early Reader · Change the reading level on the articleFactorization
You can break big things into small parts. It is like taking apart blocks. We can do this with numbers too. This helps us solve hard puzzles. It makes math easier to see. Can you find the small parts?
Early Reader · Change the reading level on the articleFast Fourier transform
We can find patterns in sounds. This helps us see how music works. It makes math work very fast. This helps us use computers for music. It is a big help to us. Can you hear a pattern?
Early Reader · Change the reading level on the articleF-distribution
We use math to look at groups. It helps us see how things change. We can compare two groups. This helps us know if they are the same. It is a way to check facts. Do you like to find patterns?
Early Reader · Change the reading level on the articleFeasible region
You have many choices to make. Some rules tell you what you can do. These rules make a space for your choices. It is a place for all your ideas. It helps you find the best way. Can you find the best way?
Early Reader · Change the reading level on the articleFeigenbaum constants
Some things follow a pattern. They change in a special way. One man found these patterns. They show up in many places. It helps us see how things move. Can you find patterns too?
Early Reader · Change the reading level on the articleFelix Klein
Felix Klein loved math. He studied shapes and numbers. He helped many people learn math in school. He also helped a school become great for math. He made new ways to think about shapes. Do you like math too?
Early Reader · Change the reading level on the articleFermat number
Some numbers follow a special rule. They grow very fast. We call them Fermat numbers. Some of them are special primes. Can you find them?
Early Reader · Change the reading level on the articleFermat's little theorem
Numbers can play games. Some special numbers follow rules. We can use them to find patterns. This helps us learn about math. It is very fun to see! Can you find a pattern?
Early Reader · Change the reading level on the article