When a selector is present, especially when expr is a univariate polynomial with rational coefficients, the user should choose a selector specific enough to encode only one number to avoid errors in later computation such as evalf or evala. If the root is an algebraic number, an index selector should be used instead. Essentially, labels are meant to distinguish several unspecified roots of the same equation. This option should be used only when the roots of the equation can be numbered. The RootOf represents the i -th root of the equation in an order described in the help page RootOf/indexed.
Moreover, if there is no root contained in the range, an error will be raised.Īn index i, using the syntax index=i where i is an integer. The numbers should be given in the order of the lower-left corner of the box to the upper-right corner of the box (or left and right endpoints, in the case of a real interval), otherwise, an error will be raised. Ī bounding box defined by two complex numbers a and b. If the approximation is ambiguous, an error will be raised by evalf or convert. The RootOf function supports the following selectors:Ī numerical approximation c if the polynomial is univariate with rational coefficients, the c will select among all the roots of the polynomial the closest one to c. They can also be used for working with several (not necessarily specified) roots of the same polynomial. Selectors are meant to specify a particular root of an equation or a subset of the roots. The third (optional) argument is a root selector. They can be used to represent the solutions of transcendental equations, for example RootOf(cos(x)=x, x). RootOf s are not restricted to algebraic extensions.
The elements of the finite field GF p k are represented as polynomials in RootOf(expr) where expr is an irreducible polynomial of degree k mod p, that is, an algebraic extension over the integers mod p. Įvaluation in the context of evala uses the RootOf notation for the representation of algebraic numbers and algebraic functions.Įvaluation in the context of the mod operator uses the RootOf notation for the representation of finite fields. If expr is an irreducible polynomial over a field F, then alpha = RootOf(expr) represents an algebraic extension field K over F of degree degree expr, x where elements of K are represented as polynomials in alpha. (2) The function alias is an interactive tool and should not be used in a Maple procedure. Notes: (1) Maple allows nested RootOf s, but an alias cannot be defined in terms of another alias. The alias function is often used with RootOf s to obtain a more compact notation. The RootOf is expressed in a single-argument canonical form, obtained by making the argument primitive and expressing the RootOf in terms of the global variable _Z. The RootOf function checks the validity of its arguments and solves it for polynomials of degree one. If the first argument is not an equation, then the equation expr = 0 is assumed. In this case, the RootOf represents the roots of expr with respect to its single variable or _Z, respectively. If x is not specified, then expr must be either a univariate expression or an expression in _Z. Maple can apply diff, series, evalf, and simplify to RootOf expressions. Maple automatically generates RootOf s to express the solutions to polynomial equations and systems of equations (see solve ), eigenvalues of matrices (see LinearAlgebra ), and rational function integrals (see int ). In particular, it is the standard representation for Maple algebraic numbers, algebraic functions (see evala ), and finite fields GF p k, p prime, k > 1 (see mod ). The function RootOf is a placeholder for representing all the roots of an equation in one variable.
(optional) label where e is anything: a name, an expression, a list, or an integer (optional) complex numbers specify a bounding box But when I get into each of those, there is nothing shown inside.(optional) number specify a root selector When I go into the Camera folder, I can see the folders I have created that contain the specific photos. thumbnails, 100ANDRO, and Camera folders inside the DCIM folder. I have followed all the instructions, installed it, and able to view my files and SD card as well, but I cannot see photos in the DCIM folder.
I have tried all sorts of things, and the phone is recognised on another work PC but not on the one I use. I am using Droid Explorer because no matter what I try, I can't seem to get my work PC to recognise and get access to my phone. However, I have difficulty doing the same in Droid Explorer. It is rooted and I can see, edit, and change files with a root explorer app.