double integral sentence in Hindi
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- The advantage of the Fubini Tonelli over Fubini's theorem is that the repeated integrals of the absolute value of | " f " | may be easier to study than the double integral.
- If the double integral exists, then it is equal to each of the two iterated integrals ( either " " or " " ) and one often computes it by computing either of the iterated integrals.
- Although this formula provides a closed expression for the surface area, for all but very special surfaces this results in a complicated double integral, which is typically evaluated using a computer algebra system or approximated numerically.
- It's not hard to check that | f ( x, y ) | is not integrable, and that the double integrals are different . talk ) 06 : 07, 11 March 2008 ( UTC)
- With double integrals, we are trying to find a volume under a curve, within a rectangle R . We have dA, which is the product of dx and dy, and a height z, which varies with dx and dy.
- Notice that, by convention, the double integral has two integral signs, and the triple integral has three; this is a notational convention which is convenient when computing a multiple integral as an iterated integral, as shown later in this article.
- The integration by substitution article states this in terms of measure theory, but I'm sure the proof for this can't be that much more complicated than the case of double integrals .-- ( talk ) 00 : 20, 13 June 2013 ( UTC)
- In physics and mathematics, "'Green's theorem "'gives the relationship between a line integral around a simple closed curve " C " and a double integral over the plane region " D " bounded by " C ".
- Separating the " A " and " B " terms, the right hand side can be written as a double integral starting in the " x " or " y " direction, to which the fundamental theorem of calculus can be applied.
- Green's Theorem, which gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C, is applied in an instrument known as a planimeter, which is used to calculate the area of a flat surface on a drawing.
- My problem is that I haven't been able to evaluate \, \ mu _ 2, and I suspect I've misunderstood something, possibly something pretty elementary about double integrals ( I have no mathematical training beyond this, and it's a " long " time ago ).
- Discrete Green's Theorem, which gives the relationship between a double integral of a function around a simple closed rectangular curve " C " and a linear combination of the antiderivative's values at corner points along the edge of the curve, allows fast calculation of sums of values in rectangular domains.
- Taking into account uniform conditions along the probe surface ( boundaries are excluded ), \ Delta S \ rightarrow S _ z, we can take double integral with respect to the angle \ vartheta, and with respect to the velocity v, from the expression ( 1 ), after substitution Eq . ( 2 ) in it, to calculate a total electron current on the probe
- The above theorem was first proposed by Euler when he developed the notion of double integrals in 1769 . Although generalized to triple integrals by Lagrange in 1773, and used by Legendre, Laplace, Gauss, and first generalized to " n " variables by Mikhail Ostrogradski in 1836, it resisted a fully rigorous formal proof for a surprisingly long time, and was first satisfactorily resolved 125 years later, by �lie Cartan in a series of papers beginning in the mid-1890s (; ).
- Note that \ iint ( the double integral ) and \ iiint ( the triple integral ) are still not kerned as they should preferably be, and are currently rendered as if they were successive \ int symbols; this is not a major problem for reading the formulas, even if the integral symbols before the last one do not have bounds, so it's best to avoid backspacing " hacks " as they may be inconsistent with a possible future better implementation of integrals symbols ( with more precisely computed kerning positions ).
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