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Under these conditions the question can only be that of finding a "solution" of the equation Winning! How should the relativized Kleene pointclass $\Sigma^1_1(A)$ be defined? w = { 0, 1, 2, } = { 0, 0 +, ( 0 +) +, } (for clarity is changed to w) I agree that w is ill-defined because the " " does not specify how many steps we will go. Let $T_{\delta_1}$ be a class of non-negative non-decreasing continuous functions on $[0,\delta_1]$, $z_T$ a solution of \ref{eq1} with right-hand side $u=u_T$, and $A$ a continuous operator from $Z$ to $U$. Ill-Defined -- from Wolfram MathWorld Now I realize that "dots" does not really mean anything here. As approximate solutions of the problems one can then take the elements $z_{\alpha_n,\delta_n}$. Tip Two: Make a statement about your issue. Psychology, View all related items in Oxford Reference , Search for: 'ill-defined problem' in Oxford Reference . Thus, the task of finding approximate solutions of \ref{eq1} that are stable under small changes of the right-hand side reduces to: a) finding a regularizing operator; and b) determining the regularization parameter $\alpha$ from additional information on the problem, for example, the size of the error with which the right-hand side $u$ is given. We will try to find the right answer to this particular crossword clue. An example of something that is not well defined would for instance be an alleged function sending the same element to two different things. The best answers are voted up and rise to the top, Not the answer you're looking for? Stone, "Improperly posed boundary value problems", Pitman (1975), A.M. Cormak, "Representation of a function by its line integrals with some radiological applications". \newcommand{\set}[1]{\left\{ #1 \right\}} It might differ depending on the context, but I suppose it's in a context that you say something about the set, function or whatever and say that it's well defined. Inom matematiken innebr vldefinierad att definitionen av ett uttryck har en unik tolkning eller ger endast ett vrde. Bakushinskii, "A general method for constructing regularizing algorithms for a linear ill-posed equation in Hilbert space", A.V. If it is not well-posed, it needs to be re-formulated for numerical treatment. The words at the top of the list are the ones most associated with ill defined, and as you go down the relatedness becomes more slight. [a] The term "critical thinking" (CT) is frequently found in educational policy documents in sections outlining curriculum goals. Groetsch, "The theory of Tikhonov regularization for Fredholm equations of the first kind", Pitman (1984), C.W. Check if you have access through your login credentials or your institution to get full access on this article. $$ The term problem solving has a slightly different meaning depending on the discipline. Subscribe to America's largest dictionary and get thousands more definitions and advanced searchad free! Does Counterspell prevent from any further spells being cast on a given turn? Computer 31(5), 32-40. In practice the search for $z_\delta$ can be carried out in the following manner: under mild addition In mathematics, a well-defined expressionor unambiguous expressionis an expressionwhose definition assigns it a unique interpretation or value. Dari segi perumusan, cara menjawab dan kemungkinan jawabannya, masalah dapat dibedakan menjadi masalah yang dibatasi dengan baik (well-defined), dan masalah yang dibatasi tidak dengan baik.