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In an Euler circuit we go through the whole circuit without picking the pencil up. In doing so, the edges can never be repeated but vertices may repeat. In a Hamiltonian circuit the vertices and edges both can not repeat. So Avery Hamiltonain circuit is also Eulerian but it is not necessary that every euler is also Hamiltonian.
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Who are the mathematicians in between Euclid and Euler?
Leonardo euler
What did Leonhard Euler do?
Leonhard Euler was a Swiss mathematician and scientist in the 18th century.
How many brothers and sisters did Leonhard Euler have?
Leonhard Euler has 1 brother,Johann Heinrich Euler and 2 sisters,Maria MagdalenaandAnna Maria.
What was Eulers motivation towards maths?
He discovered the all important Euler's Rule often referred to as Euler's Formula.
Who created polynomials?
Leonhard Euler.
What is the difference between an Euler circuit and an Euler path?
The difference between an Euler circuit and an Euler path is in the execution of the process. The Euler path will begin and end at varied vertices while the Euler circuit uses all the edges of the graph at once.
Can a graph have a euler circuit but not a hamiltonian circuit?
Yes, a graph can have an Euler circuit (a circuit that visits every edge exactly once) but not have a Hamiltonian circuit (a circuit that visits every vertex exactly once). This can happen when the graph has certain degree requirements that allow for the Euler circuit but prevent the existence of a Hamiltonian circuit.
Can a graph have an Euler circuit but not a Hamiltonian circuit?
Yes. An example: _____A---------B________ A connected directly to B and D by one path. _____|_______/|\________ B connected directly to A and E by one path, and to C by two paths. _____|______/_|_\_______ _____|_____/___\_|______ _____|__E/_____\|______ E connected directly to B and D by one path. _____|____\_____C______ C connected directly to B and D by two paths. _____|_____\____|\_____ _____|______\___|__\___ _____|_______\__|__/___ _____|________\_|_/____ _____|_________\|/_____ _____-------------D_____ D connected directly to A and E by one path, and to C by two paths. There is an Euler circuit: ABCDEBCDA But a Hamiltonian circuit is impossible: as part of a circuit A can only be reached by the path BAD, but once BAD has been traversed it is impossible to get to both C and E without returning to B or D first. However there is a Hamiltonian Path: ABCDE.
Difference between hamiltonian's formulation and lagrangian's formulation?
The funamental difference is a legendre transformation that takes one from lagrange mechnaics to hamilton. More concretely, euler-lagrange generates second order diffeq's, where hamilton generates 2x first order differential eqs. I recommend landau lifshitz volume 1 for more details.
What is a Euler path or circuit?
An euler path is when you start and one point and end at another in one sweep wirthout lifting you pen or pencil from the paper. An euler circuit is simiar to an euler path exept you must start and end in the same place you started.
Who are the mathematicians in between Euclid and Euler?
Leonardo euler
Explain the difference between Euler and Rankine-Gordon formulas. Add also the graph.?
one fundamental difference: euler formula only considers failure due to buckling, while rankine-gordon also takes into effect the compressive stress.
Explain the difference between Euler and Rankine-Gordon formulas. Add also the graph?
one fundamental difference: euler formula only considers failure due to buckling, while rankine-gordon also takes into effect the compressive stress.
What is the difference between Lagrange's equation of motion and Euler-Lagrange's equation of motion?
Both are same..just the names are different.
What is Euler's Constant approximate to the number one one hundred millionth?
The Euler-Mascheroni constant (often incorrectly called Euler's constant) is amathematical constant that constantly pops up in analysis and number theory.It's defined as the limiting difference between the harmonic series and the naturallogarithm, and is usually denoted by the lowercase Greek letter gamma (γ).Rounded to the nearest 10-8, the number is γ = 0.5772156 6 .γ should not be confused with the base of the natural logarithm, e, which issometimes called Euler's number or Euler's constant.That number, rounded to the nearest 10-8, is e = 2.71828 183 .
What was euler the mathematicians full name?
Leonhard Euler
What is the difference between log and ln?
Log is a logarithm with any arbitrary base, for example log_10 100=2. Ln is a logarithm with a base of e(Euler's number), which is 2.71828 18284 59045 23536...
