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Related Concept Videos

Chair Conformation of Cyclohexane02:02

Chair Conformation of Cyclohexane

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The chair conformation is the most stable form of cyclohexane due to the absence of angle and torsional strain. The absence of angle strain is a result of cyclohexane’s bond angle being very close to the ideal tetrahedral bond angle of 109.5° in its chair conformer. Similarly, the torsional strain is also absent owing to the perfectly staggered arrangement of bonds.
The hydrogen atoms linked to carbons are arranged in two different axial and equatorial orientations to achieve this...
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Stereoisomerism of Cyclic Compounds02:33

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In this lesson, we delve into the role of ring conformation and its stability, which determines the spatial arrangement and, consequently, the molecular symmetry and stereoisomerism of cyclic compounds. 1,2-Dimethylcyclohexane is used as a case study to evaluate the possible number of stereoisomers. Here, given the multiple (n = 2) chiral centers, there are 2n = 4 possible configurations that lack a plane of symmetry, as the ring skeleton exists in a non-planar chair conformation. In addition,...
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Optimization Problems01:26

Optimization Problems

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Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
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Mismatch Repair01:20

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Organisms are capable of detecting and fixing nucleotide mismatches that occur during DNA replication. This sophisticated process requires identifying the new strand and replacing the erroneous bases with correct nucleotides. Mismatch repair is coordinated by many proteins in both prokaryotes and eukaryotes.
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Conformations of Cyclohexane02:11

Conformations of Cyclohexane

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Cyclohexane does not exist in a planar form due to the high angle and torsional strain it would experience in the planar structure. Instead, it adopts non-planar chair and boat conformations.
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal...
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Design and Synthesis of a Reconfigurable DNA Accordion Rack
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A new evolutionary algorithm with structure mutation for the maximum balanced biclique problem.

Bo Yuan, Bin Li, Huanhuan Chen

    IEEE Transactions on Cybernetics
    |August 20, 2014
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    Summary
    This summary is machine-generated.

    A new evolutionary algorithm with structure mutation (EA/SM) effectively solves the maximum balanced biclique problem (MBBP). This algorithm overcomes local optima, finding superior solutions compared to existing methods.

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    Area of Science:

    • Combinatorial Optimization
    • Computational Intelligence
    • Graph Theory

    Background:

    • The maximum balanced biclique problem (MBBP) is an NP-hard optimization challenge.
    • Existing algorithms often stagnate in local optima, limiting solution quality for large problem instances.

    Purpose of the Study:

    • To introduce a novel algorithm, the evolutionary algorithm with structure mutation (EA/SM), for solving the MBBP.
    • To enhance exploration and escape local optima in combinatorial optimization problems.

    Main Methods:

    • The EA/SM algorithm incorporates a structure mutation (SM) operator for dynamic solution restructuring.
    • It utilizes an MBBP-specific local search operator and a modified repair-assisted restart process.
    • An estimation of distribution algorithm (EDA)-like process is used for reinitialization.

    Main Results:

    • EA/SM significantly outperforms state-of-the-art heuristic algorithms on benchmark graphs.
    • The proposed algorithm demonstrates superior performance over repair-based EDA and genetic algorithms.
    • Key advantages stem from the novel SM operator and the repair-assisted restart mechanism.

    Conclusions:

    • The EA/SM algorithm offers a more effective approach to solving the maximum balanced biclique problem.
    • The developed techniques, SM operator and repair-assisted restart, are crucial for improved performance.
    • This research provides a valuable advancement in tackling NP-hard combinatorial optimization problems.