Integration has to do with a square shape

AI Thread Summary
Integration can involve various shapes, including circles and squares, depending on the context. The discussion highlights the use of closed path integrals, such as \oint {}, which are relevant in certain applications. For calculating the area of a square defined by points a, b, c, and d, a standard double integral is typically more straightforward than using a closed path integral. Green's theorem can relate these concepts, but it complicates the process unnecessarily for basic area calculations. Understanding the appropriate integral method is key to solving such problems effectively.
dervast
Messages
132
Reaction score
1
Hi I have mentioned yesterday some integrals that have a circle in the symbol... I think the integration has to do with a square shape... What is this? Where i can find more info?

Also do u know what anadelta means?
 
Mathematics news on Phys.org
I suppose you mean something like \oint {}, which represents an integral over a closed path.
 
Thx a lot if we want to calculate the area of a square.. Let's assume that the square has the following 4 point a b c and d.. How should i use the integral?
Thx a lot
 
I don't think you'd be using a (closed) path integral for that purpose.
 
You could use Green's theorem to convert the double integral one would normally used to find area into a path integral but that's the hard way!
 

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »
Thread 'Imaginary Pythagorus'

Thread 'Imaginary Pythagorus'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

B What is the connection between x^2 and a square shape?
Replies
5
Views
2K
I Creating a function with specific shape, intercepts, integral....
Replies
1
Views
1K
I Two Dimensional Coordinate Plane with Distance as Third Dimension
Replies
3
Views
2K
B Orientation of double integrals
Replies
13
Views
2K
I How to establish which side of a square a ray will intersect?
Replies
7
Views
1K
I Opinion about an introduction of the Lebesgue integral in "Introduction to Hilbert spaces with applications"
Replies
5
Views
1K
B Properties and Behaviors of an Object
Replies
1
Views
1K
B The definition of a straight-line seems circular?
Replies
16
Views
3K
Medical How does human eye decode different geometric shapes such as circle?
Replies
7
Views
2K
I A way to comprehend the geometry of a hypercube
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top