This is where we find the functions by using this 'thing' or formula. basically, everything is cubed, so the answer is to cube the function.Originally Posted by http://en.wikipedia.org/wiki/Analytic_number_theory
This is where we find the functions by using this 'thing' or formula. basically, everything is cubed, so the answer is to cube the function.Originally Posted by http://en.wikipedia.org/wiki/Analytic_number_theory
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A differential equation is a mathematicalequation that relates some function with its derivatives. In applications, the functions usually represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between the two. Because such relations are extremely common, differential equations play a prominent role in many disciplines including engineering,physics, economics, and biology.In pure mathematics, differential equations are studied from several different perspectives, mostly concerned with their solutions—the set of functions that satisfy the equation. Only the simplest differential equations are solvable by explicit formulas; however, some properties of solutions of a given differential equation may be determined without finding their exact form.
If a self-contained formula for the solution is not available, the solution may be numerically approximated using computers. The theory of dynamical systems puts emphasis on qualitative analysis of systems described by differential equations, while many numerical methods have been developed to determine solutions with a given degree of accuracy.So, for the "linear initial value problem of the nth order," we need to find x. so, we need to find the x by observing that every entry with an x is to the power of 0, so, x must be zero. with everything else being multiplied by x^0, this means that everything is zero in the last formula.Originally Posted by http://en.wikipedia.org/wiki/Differential_equation
But, it cannot be zero all over, as this is a realistic practical problem. this means that it leaves [n] + [y] equals [x]!
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Originally Posted by http://en.wikipedia.org/wiki/Asymptotic_theoryAs you can see, this all has something to do with infinity, as they all have that lop sided eight thing in them. it is not divided by infinity, but, rather multiplied by it.Originally Posted by http://en.wikipedia.org/wiki/Asymptotic_theory
So, if they all have infinity in them, in the end, you could fill your page with nines and stuff and still not have the end answer. the good news is there is no such thing as infinity, because, without a start and end point, there is no value, meaning it is nothing as it is not 'capped,' yes?
Now, if we want to find x, we need to observe b.o.d.m.a.s, where we need to divide first. this means we can take any of the things with division in them and find x, yes? let's get to it!
In the gamma function, we can see that there in one are is [x / x 'rooted' x], meaning it is 1, squared rooted by pie and x, well, the one will leave the 1 and the pie will leave, well, pie! but, then it is added to one, so is 2! so, in this thing, x = 2.
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Actually let's make that x=5? this would be pie plus x though, so it will not give x, will it?
Let's say it is x = 3 until that equals, but, then it is [x + 1]. so, now, this on one side is x + 1, so on the other side it needs to be x + one, as they are equal, yes?
For the exponential integral it would be, seeing as how there is an infinity of nothing, minus 1 = -1!
For the riemann zeta function, x would be 2m-1s.
Error function would be the same as the gamma function
Last edited by Brett Nortje; 05-28-2015 at 07:12 AM. Reason: Corrections.
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But his is about infinitesimals, so, it is about markers without values, as, we all know, something that is infinite has no value, as, it does not have an end point, so it impossible to measure, yet, it is a workable figment.Originally Posted by https://en.wikipedia.org/wiki/Calculus
[1] Differential calculus
So, if they are basically repeating over and over, then ignore everything that equals everything else and find the difference, yes? this would mean, the only equation you need to do is a + h - a, which means that they really do equal each other. this means it is f times a minus f times a, leaving h to divide by itself, leaving one. this means, m equals one always!
[2] Fundamental theorem.
So, [b + a] times by [function] times by [x] times by [d times by x] = [F(b) - F(a)] means that [x] must be a minus number, of course.
This means that [d] equals [-a^2] and [x] equal [-b^2], or, the amounts needed to make sure that and that f must be one or something. this is because they are supposed to equal each other, yet, they are made of the same amounts, of course.
Or, maybe it is [x * d x + a + b] = [b - a]. For [ab] to equal - [ba] then it would have to be [x = - (a^3)] more or less, or, something nearly exactly like that, leaving room for d and x to have values linked to the a and the b. so, we would say that x an d have negative values which i cannot yet find.
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Dirichlet series;Originally Posted by https://en.wikipedia.org/wiki/Analytic_number_theory
Depending on the choice of coefficients , this series may converge everywhere, nowhere, or on some half plane. In many cases, even where the series does not converge everywhere, the holomorphic function it defines may be analytically continued to a meromorphic function on the entire complex plane. The utility of functions like this in multiplicative problems can be seen in the formal identity
It is safe to say that the cursive l squared equals infinity, but, anything of infinity halved would also equal infinity, yes? Obviously, [n^2] equals [k] plus l, yes?
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Now, before we get to that, we need to know what alternate interior angles are;Originally Posted by https://en.wikipedia.org/wiki/Character_theory
alternate inerior angles.jpg
It is safe to say, the greater one of the angles, the greater the other angle! this follows that one of them are 'facing' as much as the other, so, the less one of them is, the less the other too. in fact the two angles are the same! It is also said that interior means inside the two parallel lines, of course.
character theory.png
Now, the xp is squared along with the g in the first one, then halved. in the second one, to the right of it, it is only the g that is squared then multiplied by the xp. so, it follows that it is like taking [x squared times p squared times g squared] minus [g squared times by x times by p].
So, it is actually half xp!
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Originally Posted by https://en.wikipedia.org/wiki/Effective_descriptive_set_theoryOriginally Posted by https://en.wikipedia.org/wiki/Effective_descriptive_set_theoryOriginally Posted by https://en.wikipedia.org/wiki/Effective_descriptive_set_theory
[1] This would seem to be zero plus one on a natural number, or, prime? this would mean that it is one, as, anything to the power of zero is one, yes? now, prime to the power of one is prime, prime to the power of two is not prime! aha! this means, that, there is only one prime, as, any prime multiplied by anything will result in a prime number, because, it is going into it's own number!
[2] one to the power of prime plus one?
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This means, of course, that there is a 'plummet' or 'plunge' in the angles, so that all angles are 'curved.' this also means, that, you can work out what the angles are by using a less then 'equation sign.' it is less than 180 degrees, i think, as that is to me anyways, like a straight line outside the line, of course.Originally Posted by https://en.wikipedia.org/wiki/Elliptic_geometry
Seeing as how it is never a straight line, this means that it is also less than 90 degrees at the corners of the diagram. of course, seeing as how it is so 'complex,' and it has values, this means the lines end, somewhere, somehow. if the lines were to meet, then they have definitely a given less than 180 degrees, and, more than ninety degrees, of course.
Now, if we were to want to find a 'formula for the degrees,' we could say that [degrees] = [length / height * length plus height].
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This is more advanced calculus than we are used to, but, is used in engineering and physics in high end fields, as, they will want to know the resistances of materials and shapes and angles. the people that do this make text books for those that just use it, i think. We cannot work this out the same we worked out the classical calculus i found a easy way to do, because there is more than one value in the brackets, of course.Originally Posted by https://en.wikipedia.org/wiki/Vector_calculus
Now, this deals with scales and points for vectors, and, 'supposed vector placements.'
For gradient theorems it is [p] - [q], of course.
For green's theorem, it is natural to see that the whole quadratic equation concerns the squiggle, and, that means we can simply work it out without the squiggle and times it by the squiggle at the end. as another quick snap shot of what it should be close to, a is to the power of a.
For stokes theorem, we can cross out everything with a repeat on the next side of the equals sign, and make it much easier.
For divergence theorem, we could find the values for all the right side of the equals sign, and, then easily work out the rest of the equation.
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