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Mathematicians

Often, to completely understand the importance of a mathematical theory, it's essential to know about the person who developed it. This category is where all questions about historically significant mathematicians should be asked.

6,570 Questions

Was Isaac Newton homeschooled?

Isaac Newton was not homeschooled. He attended The King's School in Grantham followed by Trinity College, Cambridge, where he pursued higher education.

What are the eigenfunctions of the Laplace operator in 1D?

In general, the Laplace operator in n dimensions is

∇2 = (∂/∂x1)2 + (∂/∂x2)2 + ... + (∂/∂xn)2,

and the eigenfunctions are the solutions f(x1, x2, ..., xn) of the partial differential equation:

∇2f = -λf,

where the eigenvalues -λ are to be determined. Often, the set of solutions will be constrained by given boundary conditions (which limits the possible values of λ), but for the purposes of this question that does not matter.

In one dimension this gives a simple linear differential equation with constant coefficients:

d2f/dx2 = -λf

which may be solved using standard, elementary techniques. For λ > 0 the solutions may be written:

f(x) = A cos((√λ) x) + B sin((√λ) x)

and for λ < 0:

f(x) = A exp((√-λ) x) + B exp(-(√-λ) x)

where in each case A and B are arbitrary constants. Using Euler's formula

exp(ia) = cos(a) + i sin(a)

the solutions in both cases can be written as linear combinations of the exponential functions exp((±iλ) x).

In the case that λ = 0, the solutions are straight lines:

f(x) = Ax + B.

Where did Isaac Newton make the Newtons Cradle?

Isaac Newton did not invent the Newton's Cradle. It was actually invented in 1967 by English actor and artist Simon Prebble. The toy demonstrates the principles of conservation of energy and momentum.

Why did isaac newton want a job?

Isaac Newton wanted a job to support himself financially and further his scientific research. He held positions within academia and government to have the resources to conduct experiments and develop his theories on physics and mathematics.

Did nicolaus Copernicus have a dog?

There is no historical record suggesting that Nicolaus Copernicus had a dog. His personal life is not extensively documented, so it is unclear whether or not he had a pet dog.

What did Johannes Friedrich Miescher discover?

Johannes Friedrich Miescher discovered nucleic acids in 1869, specifically isolating DNA from the nuclei of white blood cells. His work laid the foundation for understanding the role of DNA in heredity and genetic information.

What was Copernicus role in the renaissance?

The cultural movement that was the Renaissance started during the mid‐14th century to the mid-17th century. Galileo was born on the 15th February 1564, so yes, Galileo was born during the Renaissance.

What did isaac newton do apart from science?

Isaac Newton also served as Master of the Royal Mint for over 20 years, overseeing efforts to combat counterfeiting. He was also involved in politics, serving as the Member of Parliament for Cambridge University. Furthermore, Newton was interested in alchemy and theology, writing extensively on these subjects.

True or false nicolaus Copernicus was the person to say that earth travels around the sun?

False, True

The original spelling and grammar of your question is so poor that the answer could be either.

Nicolaus Copernicus (his name should be capitalized) did formulate a heliocentric cosmology. He was not "the pearson" (sic!) but "a person". He was not the first either, many Greek philosophers prior to 200 BCE also held heliocentric beliefs.

We can assume that Copernicus spoke with others about his ideas, we do know that the book stating these ideas was published just shortly before Copernicus died.

What objects can represent Isaac Newton?

Objects that can represent Isaac Newton include an apple (for the famous story of him discovering gravity), a prism (for his experiments on light and color), and a telescope (for his work in astronomy and optics).

Who were Isaac Newtons enemies?

Isaac Newton had a contentious relationship with other scientists of his time, most notably Robert Hooke and Gottfried Wilhelm Leibniz. Hooke and Newton had disputes over their scientific work, with Newton often disparaging Hooke's contributions. Leibniz and Newton famously disagreed over the development of calculus, leading to a prolonged and bitter dispute over its invention.

Why did Isaac Newton invent Newtons?

Isaac Newton did not invent "Newtons". Newton is a unit of force and was named in honor of Isaac Newton to acknowledge his contributions to the laws of motion and universal gravitation. It is used to measure the amount of force required to accelerate a 1 kilogram mass at a rate of 1 meter per second squared.

How did Copernicus eventually convince others that his theory was more accurate?

He argued vigorously that the way to truth was to observe, rather than to philosophize. For example, when others argued that Jupiter couldn't possibly have satellites because such moons would serve no purpose, Galileo insisted that the answer could be found simply by looking at Jupiter through a telescope.

What scientific principle states that the buoyant force of an object is equal to the weight of the fluid displaced by the object?

That's called Archimedes' principle.

But it should be the force "ON an object", not the force "OF an object".
Seems to me like the difference is significant.

What are the facts about copernicus?

—He was a polish astronomer, he was best know for his theory that the sun was near the center of the universe and that earth and other planets rotated around the center of the universe which makes sense to me because the planets rotate around the sun and he thinks that the sun is near the center of the universe. Copernicus did not believe that the earth and other planets were influenced by or revolved due to the sun, that kinda contradicts what I said, but in a way we are both coming together to say the same thing.

What Isaac Newton a pharmacist?

No. he was ether living in the house of and pharmacist, which was his grandparents, or one of his grandparents was one. either way, he loved to experiment down in the basement where the lab was.

What was Felix Klein contribution to the field of geometry?

Felix Klein's main contribution to geometry was his development of the Erlangen Program, which seeks to classify geometries based on their underlying groups of transformations. He also made significant contributions to non-Euclidean geometry and the field of algebraic geometry. His work helped unify various branches of geometry and laid the foundation for modern geometric theories.

Did Isaac Newton make Newton Balls?

I can not tell you why he made it but I can tell you about it. Newton's cradle can be modeled with simple physics and minor errors if it is incorrectly assumed the balls always collide in pairs. If one ball strikes 4 stationary balls that are already touching, the simplification is unable to explain the resulting movements in all 5 balls, which are not due to friction losses. For example, in a real Newton's cradle the 4th has some movement and the first ball has a slight reverse movement. All the animations in this article show idealized action (simple solution) that only occurs if the balls are not touching initially and only collide in pairs.

What kind of charge is produced in silk cloth when it is rubbed against a glass rod?

When silk cloth is rubbed against a glass rod, the silk cloth becomes positively charged as it loses electrons to the glass rod, which becomes negatively charged. This is due to the transfer of electrons from one material to the other during the rubbing process.

What did people wear during nicolaus Copernicus' time?

During Nicolaus Copernicus' time in the 16th century, fashionable clothing for men consisted of fitted jackets, shirts, doublets, and hose. Women's clothing included gowns with full skirts and tight bodices. Fabrics like wool, silk, and linen were common, with embellishments such as embroidery and lace.

Did hipparchus have a family?

There is limited information about the personal life of Hipparchus, an ancient Greek astronomer. It is believed that he had a daughter, but not much is known about his family beyond that. Hipparchus is primarily known for his significant contributions to the field of astronomy.

What other jobs did Nicolaus Copernicus do?

Nicolaus Copernicus was a Polish mathematician and astronomer known for his heliocentric model of the universe. In addition to his work in astronomy, he also held positions as a physician, translator, and diplomat during his lifetime.

Why is an immersed object buoyed up by a force equal to the weight of the fluid it displaces?

Because buoyancy is a property of fluids, and not the object immersed in them. By comparing densities, you get that buoyancy is equal to the weight of the fluid displaced, because the volume of an object is equal to the volume displaced.

Was Isaac Newton German?

No, Isaac Newton was actually English. He is widely regarded as one of the most influential scientists of all time, making significant contributions to the fields of physics, mathematics, and astronomy.

Who invented wave theory of light?

The wave theory of light was proposed by Christian Huygens in the 17th century. He suggested that light travels in the form of waves rather than particles, which was later supported by the experiments of Thomas Young and Augustin-Jean Fresnel in the 19th century.