Application of Cauchy's Mean Value Theorem in real life?
Cauchy's Mean Value Theorem (MVT) can be applied as so. Say that Doug lends his car to his friend Adam, who is going to drive it from point A to point B. If the distance between A and B is 100 miles, and it only takes Adam X amount of time, was he speeding at any point? Using Cauchy's MVT, it can be determined, because velocity is a function of displacement vs. time. This is a very simple application, but the MVT can be used to determine if anything is operating at above or below a specified tolerance very quickly, and once that is determined, allows an engineer to closely identify when they occur.
What were Nicolas Copernicus' greatest achievements?
one of his greatest achievements were he was the first European astronomer to change the medieval belief system =)
How did Pythagoras believe the world could be best understood?
by the same principles inherent in mathematical thinking
Why did Archimedes shout 'eureka'?
According to legend, Archimedes shouted "Eureka!" (which means "I have found it!") while running down the streets naked. The reason he did this is because he found out that, a body immersed in water has a buoyant force equal to the weight of the water that it displaces. He was able to find out if the kings crown was really made of pure gold this way (and it wasn't).
What are some of Copernicus' discoveries and contributions?
he discovered that the earth revolved around the sun (heliocentricity) and at that time everyone believed that the sun/planets revolved around the earth (geocentricity)
How did Archimedes handwriting look?
Archimedes was an ancient Greek scientist and astronomer. His handwriting is small and neat, written in straight lines, and including diagrams and mathematical equations.
What is the Euclid's ladder for 10 and 21?
21 - (10 x 2) = 1
10 - (1 x 10) = 0
For the values: 10 and 21
The LCM is: 1
How did nicolaus Copernicus find out that the eartth was in the center?
Nicolaus Copernicus discovered that the earth WAS NOT the center of the universe using math and science to form his theories.
Perfect octave.
The greatest common factor (GCF), also known as the greatest common divisor (GCD), represents the largest number that divides into each member of a set of numbers. Smaller GCFs can be quickly calculated using the prime factors of each number, but calculating large GCFs the same way is sometimes difficult. An algorithm devised by Euclid, (the ladder) lets you find the GCF of any number without extensive factoring. All you need is the ability to do long division.
Father: Nicolaus Copernicus Senior
Mother: Barbara Watzenrode
Older Brother: Andreas Older Sister: Katharina
Other Older Sister: Barbara
What mathematicians helped to discover alternatives to euclidean geometry in the nineteenth century?
Nikolai Lobachevsky and Bernhard Riemann
What was the name of Pythagoras's first teacher?
one of pythagoras teachers names was Homer. Homer was a greek writer
Why is it difficult to determine the precise findings of Pythagoras?
Because Pythagoras was unknown until he became famous for his findings of mathematics. He was determined to find out more.. and he started to get more ideas for his findings of more mathematical problems and findings answers for those problems.
Has fermat's last theorem been disproved?
Fermat's last theorem says xn + yn = zn where n is bigger than 2 has no solution
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The theorem has NOT been disproved, in fact it was proved by Andrew Wiles.
He worked with Richard Taylor and they used things known as elliptic curves. There are many great books that explain the proof, but a good amount of graduate level abstract algebra is required.