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Problem & Solution

🌐 public · created AE531017 (17.10.2023) · by DDH · author: DDH · licence: content & code transfered to public under conditions of Wizzion Public Licence v. AE53 · open in the standard editor view · 📽 open as presentation

In engineering, a problem P is defined by an objective function that needs to be optimized, a vector of parameters that can be adjusted, and constraints that must be satisfied.

The solution S is the optimal set of parameter values that achieve the desired optimization while staying within the bounds of the constraints.

Ancestors (1 superordinated path)

Descendants (at least 44 branches originate here)

  • Problem & Solution
    In engineering, a problem P is defined by an objective function that needs to be optimized, a vector of parameters that can be adjusted, and constraints that mu
    • is_parent problem(s)
      A problem P can be defined as a situation or scenario where a particular system, device, or process is not performing as desired, leading to suboptimal or undes
      • is_parent etymology of the term 'problem' ·
        From Middle English probleme, from Middle French probleme, from Latin problema, from Ancient Greek πρόβλημα (próblēma, &l
      • is_parent Alltag problem(s) ·
        Divide in couples and discuss with Your colleagues cases when You use the word problem in daily life. Pose Yourself questions like "What was the last problem I
      • is_parent Hilbert problem(s) ·
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      • is_parent wicked problems ·
        No Definitive Formulation No Stopping Rule Solutions Are Not True-or-False No Immediate and No Ultimate Test Every Solution is a 'One-Shot Operation' No Enumera
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        The Millennium Problems are seven mathematical challenges established by the Clay Mathematics Institute in 2000, each with a prize of one million dollars for a
      • is_parent 13 teacher-proposed D&C problems
        This is the set of problem(s) to which I expose all my D&C students since AE50.Hopefully, at least 1 will be "solved" during my lifetime, 2 during Your lifetime
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        • is_parent Elliptic Curve Discrete Logarithm Problem ·
          Unsolvability of ECDLP is the pillar on which modern asymmetric cryptography (e.g. cryptocurrencies, communication with products of military-industrial complex
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          Interconnect processes of opinion aggregation, expertise integration and decision-making so that at least some future social and political systems are more equi
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        • is_parent The Tangle ·
          The tangle is circle with 1m radius containing different vertically stacked herbs, veggies, fruits and mushrooms which maximize nutritive yield beneficial for h
        • is_parent The Seed ·
          The Seed, or Universal Nano-Assembler, is a programmable, portable, self-sustainable matter compiler of non-organic origin able to reorganize molecules of its e
        • is_parent Central Problem of Roboethics ·
          The central problem of roboethics is defined as follows: AI & robot engineers aim to construct beings which will transcend the faculties of human beings, on the
      • is_parent 10 student-proposed D&C problems ·
        Radioactive waste disposalLiberation from fossil fuel dependencyLanguage extinctionWeltverständlichmachungUnf*cking the Wohnungsmarkt............The Clock Refor
    • is_parent Meta-Problem ·
      What problem is worth time of Your life ?
    • is_parent solution(s)
      • is_parent etymology of the term 'solution' ·
        The word "solution" has its roots in Latin, deriving from the word “solutio.” The etymology can be broken down as follows: Latin "solutio": Meaning
      • is_parent Advice 0 ·
        Used as a general rule in chemistry; the old alchemical principle "similia similibus dissolvuntur" meaning "like dissolves like" refers to the ability of polar
      • is_parent Engineer's solution ·
        In engineering, the solution S is that vector of P which minimizes (resp. maximizes) the value of objective function F.
    • is_parent Taxonomy of Problems
      • is_parent unsolved
        Unsolved problems are problems for which we neither have a solution, nor know whether such solution can be found.
        • is_parent solvable ·
          P is solvable if, at some point in time, a proof will be provided that solution to P can be found.
        • is_parent unsolvable ·
          P is unsolvable if, at some point in time, a proof will be provided that P does not have solution.
        • is_parent fatal ·
          Problem P is "fatal" if no proof could ever be provided whether P is solvable or unsolvable. It is impossible to tell about problem if it is "fatal". That's why
      • contains solved
        P is considered to be SOLVED if we know that it doesn't have a solution and/or know at least one solution which satisfies our needs.
    • is_parent Multi-objective Optimization ·
      In multi-objective optimization, optimize for two or more objectives in the same time.
    • contains Exercise 0: Paper Airplane Optimization ·
      After the break, we will make a little exercise in "Paper Airplane Optimization". What parameters define the "paper airplane design space"What will be the prima