Nepedia

Mathematics articles — Page 19

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 19 of 30

For printable practice and answer guides, visit Maths worksheets.

Jacobi symbol

Math can help us find patterns. A man named Jacobi found a new way. It uses numbers in a special way. This helps us check if numbers are prime. It is a fun math puzzle. Can you find a pattern?

Early Reader · Change the reading level on the article

James Gregory (mathematician)

James was a man who loved shapes. He looked at the stars. He even thought of a new way to make a telescope. He liked to study math and lines. He was very smart. Can you find shapes in your room?

Early Reader · Change the reading level on the article

James Joseph Sylvester

James was a man who loved math. He found new ways to use numbers. He also loved to read poems. He taught many students in big schools. He helped make math a special subject. Do you like to count things?

Early Reader · Change the reading level on the article

Jamshid al-Kashi

Al-Kashi was a great thinker. He loved numbers and stars. He found out how big things are. He could solve hard puzzles. His work helps us today. Do you like math?

Early Reader · Change the reading level on the article

János Bolyai

A man named János loved shapes. He found new ways to see them. He found a new world of math. This helps us study the stars. He was very smart. Do you like shapes too?

Early Reader · Change the reading level on the article

Jean Dieudonné

Jean loved to work with numbers. He studied how shapes and patterns work. He wrote many books about math. His work helps us learn more. He was a great teacher. Do you like to count things?

Early Reader · Change the reading level on the article

Jean Taylor

Jean Taylor loves math. She looks at soap bubbles. She studies how they grow. She finds out why they have shapes. Her work helps us learn. She is a great thinker. Can you find a bubble?

Early Reader · Change the reading level on the article

Jensen's inequality

Some shapes curve like a bowl. This curve stays below a straight line. We can use this to find a middle point. It helps us understand how things change. It is a smart way to look at math. Can you find a bowl shape?

Early Reader · Change the reading level on the article

Jia Xian

A man named Jia Xian lived long ago. He loved to work with numbers. He found a new way to use shapes. This helped him solve hard math puzzles. His ideas help us today. Do you like math too?

Early Reader · Change the reading level on the article

Joan Birman

Joan Birman loves math. She studies shapes and knots. She looks at how lines twist. This helps us learn about shapes. Her work is very big. Do you like to play with string?

Early Reader · Change the reading level on the article

Johann Heinrich Lambert

Johann was a man who loved to learn. He studied the stars and maps. He also studied light and colors. His work helps us see the world. He was a very smart thinker. Do you like to learn new things too?

Early Reader · Change the reading level on the article

John Edensor Littlewood

John was a man who loved numbers. He used math to solve big puzzles. He worked with many other smart people. His work helped us understand how numbers work. He was a very great thinker. Do you like to count things?

Early Reader · Change the reading level on the article

John Napier

John Napier was a smart man. He loved math. He made tools to help people count. One tool used numbered rods. These tools made math much faster. He helps us use math today. Can you count your toys?

Early Reader · Change the reading level on the article

John Wallis

John Wallis loved math. He found new ways to use numbers. He even made a new sign. It shows something that never ends. This sign is used in math today. Do you like to count things?

Early Reader · Change the reading level on the article

Join and meet

We can group things in many ways. We can find the top of a group. We can find the bottom too. This helps us sort things. It is like a map. Do you like to sort your toys?

Early Reader · Change the reading level on the article

Joseph Liouville

Joseph was a man who loved numbers. He lived in France a long time ago. He studied how math works. He even helped start a math book. People still use his ideas today. There is even a spot on the moon named for him.…

Early Reader · Change the reading level on the article

Julia Robinson

Julia loved math. She looked for patterns in numbers. She solved big puzzles with her friends. Her work helped many people. She was a very smart leader. Do you like math too?

Early Reader · Change the reading level on the article

Julia set

Some shapes look very wild. They can have many tiny parts. These shapes follow a rule. The rule makes them change. They can look like lace. They can look like dust. Do you like shapes?

Early Reader · Change the reading level on the article

Karen Uhlenbeck

Karen is a math expert. She solves big puzzles. She uses shapes and numbers. Her work helps many people. She even won a big prize! She wants to help more girls learn math. Do you like math too?

Early Reader · Change the reading level on the article

Karnaugh map

We use maps to find patterns. These maps help us see shapes. They make hard work easy. You can use them to fix code. It helps things work well. Can you find a pattern?

Early Reader · Change the reading level on the article

Karush–Kuhn–Tucker conditions

Math helps us find the best way to do things. It can help us find the most toys or the least work. We use it to follow rules. This helps us make good choices. Do you like to find the best way?

Early Reader · Change the reading level on the article

Kepler problem

Math helps us see how things move. It can show how things go in a loop. This helps us know where stars go. We can use it to find our way. It is a big puzzle. Can you find a shape in the sky?

Early Reader · Change the reading level on the article

Kernel (algebra)

Some things change when we move them. We can group things that go to the same place. This helps us see patterns. It helps us understand how things work. Can you find a pattern today?

Early Reader · Change the reading level on the article

Koch snowflake

This shape looks like a star. It starts as a small triangle. Then we add tiny bumps to each side. The shape grows more and more. It has a very long edge. Can you see the tiny triangles?

Early Reader · Change the reading level on the article

Kolmogorov complexity

Some things are easy to say. You can say "write ab sixteen times." This is a short way. Other things are hard to say. You must say every part. This takes a long time. Can you find a short way?

Early Reader · Change the reading level on the article

Kőnig's theorem (graph theory)

Dots can be joined by lines. You can pair them up. You can also pick dots to touch every line. In some groups, these two numbers are the same. It is a neat trick! Can you find the pairs?

Early Reader · Change the reading level on the article

Kriging

We can guess what is in the ground. We look at a few spots. We check for gold. Then we guess where more might be. It helps us find things. Can you find hidden treasure?

Early Reader · Change the reading level on the article

Kronecker delta

Think about two things. Are they the same? If they match, we say yes. If they do not match, we say no. This helps us sort things. It is a way to find a match. Can you find two things that are the same?

Early Reader · Change the reading level on the article

Kruskal's algorithm

We can find the best way to connect dots. We pick the shortest lines first. We do not make any loops. This helps us save space. It is a smart way to work. Can you find the shortest path?

Early Reader · Change the reading level on the article

Kunihiko Kodaira

A man named Kunihiko Kodaira loved math. He studied shapes and numbers. He found new ways to see them. He won a big prize for his work. His ideas help us learn today. Do you like math too?

Early Reader · Change the reading level on the article

Kuratowski's theorem

We can draw lines between dots. Sometimes lines must cross. Other times, they do not. We can find out if lines will cross. This helps us draw things well. Can you draw dots and lines?

Early Reader · Change the reading level on the article

Kurtosis

We look for patterns in things. Some patterns have many surprises. These surprises are far from the middle. Other patterns have very few surprises. This helps us know what to expect. Can you find a pattern?

Early Reader · Change the reading level on the article

Lagrange multiplier

We want to find the best way to do things. Sometimes we have rules to follow. We must stay on a certain path. This helps us find the top or the bottom. It is a smart way to solve puzzles. Can you find the best way too?

Early Reader · Change the reading level on the article

Lagrange's theorem (group theory)

Math helps us see patterns. We can group things together. The groups must fit inside a big group. Each small group must be a fair size. This helps us count well. Do you like to group things?

Early Reader · Change the reading level on the article

Lah number

You can group things in many ways. Imagine you have some toys. You can put them in lines. One man found a way to count these lines. It helps us see patterns. Math is full of fun puzzles. Can you find a pattern?

Early Reader · Change the reading level on the article

Lambert W function

Math helps us solve puzzles. Some math rules are very special. They help us find missing numbers. This rule helps us work with groups. It helps us study tiny things. It is a very cool tool. Do you like math puzzles?

Early Reader · Change the reading level on the article

Laplace operator

Math can help us see patterns. It looks at how things change. We can see how heat moves. We can see how waves move. It helps us find shapes. It is a big, fun tool. Do you like math?

Early Reader · Change the reading level on the article

Laplacian matrix

Dots can be joined by lines. These lines show how things connect. We use math to study these connections. It helps us see how groups work. Math makes these patterns clear. Can you find a pattern in your room?

Early Reader · Change the reading level on the article

Latin square

Imagine a grid of boxes. You put a shape in each box. Each row has every shape once. Each column also has every shape once. This makes a neat pattern. It helps us plan tests. Do you like patterns?

Early Reader · Change the reading level on the article

Lattice (group)

Dots can make a pattern. They sit in a line. They sit in a grid. This helps us see shapes. It helps us see how things fit. Do you see dots in a pattern?

Early Reader · Change the reading level on the article

Lattice (order)

Some things follow a set order. They can be grouped in special ways. You can find the top or bottom. This helps us see patterns. It makes sense of many things. Can you find a pattern today?

Early Reader · Change the reading level on the article

Laurent series

Math can help us see patterns. Sometimes math rules break. We can use a special way to fix them. It helps us study shapes and lines. This way was found a long time ago. It is a very cool tool. Can you find patterns…

Early Reader · Change the reading level on the article

Law of cosines

Shapes like triangles are everywhere. You can use math to find a missing side. It helps you know how long a side is. You can also find a corner's size. This math is very helpful. Do you like shapes?

Early Reader · Change the reading level on the article

Law of sines

Shapes can have three sides. These are called triangles. We can use math to find the side lengths. This helps us know how big they are. It is a neat way to measure. Can you find a triangle?

Early Reader · Change the reading level on the article

Least common multiple

Some numbers fit together. They can meet at the same spot. Think of two groups of steps. We look for the first spot they meet. This helps us line things up. It can help us share food. Can you find a number that fits?

Early Reader · Change the reading level on the article

Least squares

We use dots to show what we see. Sometimes the dots do not make a straight line. We can draw a line that stays close to all of them. This helps us guess what comes next. It is a smart way to find a pattern. Can you…

Early Reader · Change the reading level on the article

Lebesgue integral

We can find the area of a shape. This helps us count things. We can use many different ways. One way uses flat slices. It is a very good way to work. It helps us solve hard puzzles. Can you find shapes in your room?

Early Reader · Change the reading level on the article

Legendre symbol

Math can find special patterns. It looks at groups of numbers. Some numbers fit a rule. Others do not fit the rule. This helps us see how numbers work. It is like a puzzle. Can you find a pattern?

Early Reader · Change the reading level on the article

Explore another subject · Open Discover and Search