# transcendental

1. ### Transcendental DE

yâ€™â€™=e^{2y} \; , y(0)=yâ€™(0)=0.
2. ### Number of solutions of transcendental equation

Find how many solutions the equation has ? x^2 -2x =(-1)^x \; , x\in \mathbb{Z}.
3. ### Transcendental equation with several roots

If someone wants to see how to solve equation x \tan(x) =1 Check this page https://www.hindawi.com/journals/ijem/2015/523043/ The way it works is by finding a polynomial with same roots as the transcendental equation.
4. ### transcendental equation

How to solve it ? x=(-1)^x
5. ### Nonlinear Transcendental Equation

Hi, I understand that transcendental equation is as equation that does not satisfy a polynomial or algebraic equation. Examples of transcendental equation are logarithm, exponential, trigonometric, and etc.... Correct me if I'm wrong. However, I don't understand what does nonlinear...
6. ### Thanks to Mr Leibnitz: Transcendental law of homogeneity

Here a serie of examples of Transcendental law of homogeneity: In case $A\in N$: A^3 = \sum_{X=1}^{A} (3X^2-3X+1) = \sum_{1/K}^{A} (3x^2/K-3x/K^2+1/K^3) = \lim_{K\to\infty} \sum_{1/K}^{A}(3x^2/K-3x/K^2+1/K^3) = \int_{0}^{A} 3x^2 dx I remember I put in the second sum $x= X/K$, and I...
7. ### Do Transcendental Numbers Guarantee Certain Sequences?

One of my friends made that argument that, just because a number repeats with no pattern (with certain transcendental numbers being a good example of this) then any given series of digits is guaranteed to appear somewhere within the number. For example: "Since Pi goes on forever and has no...
8. ### Solving for x in a transcendental equation

Concerning 2^(x+1)+3^(x-1)=25 the answer is x=3 but if it weren't that obvious, step by step, how would you solve this? Thanks in advance
9. ### What percentage of real numbers are transcendental?

Real numbers can be separated into 2 sets, the set of algebraic numbers and the set of transcendental numbers. What's the percentage of both sets?
10. ### transcendental equation problem

I have a transcendental equation and I have not a mathematique superieur formation (I'm a hydraulic engineer) and I want to resolve it but I can't, so can you help me with it? The equation is : 2*x*n*ctg(2x)= x^2 - n^2 or (same equation) : (n*ctg(x)-x)*(n*tg(x)+x) =0 n= constant (I have this...
11. ### Cardinality of transcendental numbers

I was reading another thread and I came up with a question. I have no idea how to approach this. A transcendental number is defined to be non-algebraic, that is, it cannot be formed as a root of a polynomial with rational coefficients. This covers complex numbers but let's just deal with...
12. ### Transcendental Function Proof

Are there any proofs (rigorous preferably) that show the transcendental functions can only produce algebraic results when taking transcendental arguments/parameters, and also the other way around? Would such a proof even be necessary? I know that you can get this stuff just by logic, but I'm...
13. ### Roots of a transcendental equation

Hello! Could someone please help me? I have an equation J_1(a/x)*Y_0(b/x)-J_0(b/x)*Y_1(a/x)=0 and need to find its roots. Here J_\alpha(x) and Y_\alpha(x) are Bessel functions (well, a Bessel and Neumann functions, respectively). It's obvious that the equation has infinitely many roots, and...
14. ### A graphical construction of transcendental number e

Hello! It gives a straight segment of length x.To construct , with an error of less than 4.6% , with the ruler that is not calibrated and compasses the straight segment of length e where e=2.71828.... is the transcendental number. Thank you!
15. ### Transcendental digit replacement question

A long long time ago, in a thread far, far away ... I confess I don't see this as an easy problem at all. It's obvious if "transcendental" is replaced by "irrational." But it seems very mysterious that replacing digits would imply anything about the transcendence of the resulting number. This...
16. ### trig function - transcendental?

Trig functions of angles, which are rational multiples of ?, are algebraic numbers. If the angle is not a rational multiple of ?, are the functions transcendental numbers?
17. ### About some transcendental numbers

Averyone knows that e and \pi are transcendentals, but knows tha nature of e+\pi and e{\pi}, it is still an unsolved problem ! Here are the answers ! http://hal.archives-ouvertes.fr/hal-00808463
18. ### transcendental numbers

a bit complex problem is here : if a_i is transcendental for any i then : if B=a_1 + a_2 + a_3 + ... to infinity is B transcendental , irrational or rational too.
19. ### Question about pi being transcendental over Q

I have read that Lindemann discoverd that ? is transcendental over Q. But why does this imply that ?? also is transcendental over Q?
20. ### Transcendental equations: derivatives, integrals, limits,

I have to help teach this class tomorrow for my Senior Seminar Math class. The lesson is over Exponential and Logarithmic Functions and L'Hospital's Rule. I have all the problems needed to review this lesson, but i can not solve any of them. My teaching partner and I have had schedule...