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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
How was Pythagoras' theorem used?
Pythagoras' theorem states that for a right angle triangle when its hypotenuse is squared it is equal to the sum of its base squared plus its height squared.
a2+b2 = c2 whereas a is the base, b is the height and c is the hypotenuse which is the longest side
How did René Descartes come up with the Cartesian plane?
How did Rene Descartes come up the cartesian plane?
What earlier thinker was likely a great influence on newton?
The great greek thinkers such as Aristotle, Plato, Epicurus may have influenced him. Also, the scientists of Nicholaus Copernius, Johannes Kepler and Galileo Galilei may have also had a great deal of influence on Newton.
What is the fourier transform of the Laplace operator of a function?
Let F(f) be the fourier transform of f and L the laplacian in IR3, then
F(Lf(x))(xi) = -|xi|2F(f)(xi)
How do you make nine fourths a mixed number?
To convert an improper fraction to a mixed number, divide the denominator into the numerator. That number becomes the whole number, and the remainder gets put over the original denominator.
37/7 = 5 and 2/7
Where is the Newton Fine Art Association in Newton Kansas located?
The address of the Newton Fine Art Association is: 128 E 6Th St, Newton, KS 67114-2214
How many children did Dudley Weldon Woodard have?
Dudley had 12 kids. Named; duds, sue, lukas, tarell, shykim, shanique, marcus, lizabeth, jarome, ky'sun, i'shawn, & bonqueque.
I hope this helped :-)
Why do you use laplace transform?
The most generalized reason would be:
"To solve initial-valued differential equations of the 2nd (or higher) order." Laplace is a little powerful for 1st order, but it will solve them as well.
There is a limitation here: Laplace will only generate an exact answer if initial conditions are provided. Laplace cannot be used for boundary-valued problems.
In terms of electronics engineering, the Laplace transform is used to get your model into the s-domain, so that s-domain analysis may be performed (finding zeroes and poles of your characteristic equation).
This is particularly useful if one needs to determine the kind of response an RC, RLC, or LC circuit will provide (i.e. underdamped, overdamped, critically damped).
Once in the s-domain, we may begin discussing the components in terms of impedance. Sometimes it is easier to calculate the voltage or current across a capacitor or an inductor in terms of the components' impedances, rather than find it in a t-domain model.
The node-voltage and mesh-current methods used to analyze a circuit in the t-domain work in the s-domain as well.
Pascal's wager is touted to be one of the best argument for belief in God's existence. It says that if one believes in God and in the afterlife and if there is really a God, the person will gain everything. If one doesn't believe in God and in the end there is God, the person will eventually lose everything, and if one believes in God and in the end there is no God, the person will not lose anything because one cannot lose something which he or she did not gain.
This, of course, depends on there being only two choices - no god, or my god. Of the several thousand gods worshipped throughout human history it is difficult to imagine a process to choose the "right" one. Even more difficult would be the process to imagine how to believe in this deity - does it require circumcision, blood sacrifices, or dietary conformity. Also one would have to hope the deity chosen offers some sort of eternal reward, not all of them do. Another consideration would be the consequences of choosing the wrong god. Some of them are pretty testy if you make a bad choice. Too bad if you are wrong!
The wagers results then become:
1. If you choose a god with an associated afterlife and he/she/it exists and cares anything about you (another question) and you are right in your choice you may get your "reward" if you haven't ticked him off by not following all the rules or by just believing in he/she/it to get a reward. Note that not all afterlife's are pleasant even for the "good".
2. In the same case as above and you choose to ignore this god/afterlife package you probably wind up in a comparable situation - maybe a bit worse, maybe a bit better.
3. If there is no god, no afterlife, no continuation and you wasted your time mutilating yourself and your kids, eating a restricted diet or giving your time and money to a ragtag bunch of shaman's you've missed a lot in this life - the only one you've got.
4. If case 3 is true and you live a normal life with no effort made to believe in any god or follow any "divine" rules - you win.
What references does Carl Gauss have?
none that I know of
Karl Gauss was a mathematician, professor, I think he wrote the first book on algebra, made many contributions to math with applications in physics.
Volume displacement is the method used to find the volume of small or irregularly shaped objects by noting the difference in the level of liquid before and after after immersing an object into a graduated cylinder or beaker of liquid. The difference between the before and after levels of the liquid is the volume of an immersed object.
