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Related Concept Videos

Complex Numbers01:29

Complex Numbers

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The real number system cannot represent the square root of a negative number, which restricts solutions for certain equations, such as quadratics with negative discriminants. To address this, the complex number system was developed, introducing the imaginary unit i, where i = √(-1). This extension allows for the representation of all roots, including those involving negative radicands.A complex number is written in the form x + yi, where x and y are real numbers. Here, x represents the...
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Trial and Error and Algorithm01:12

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A problem-solving strategy is a plan of action used to find a solution. Different strategies have distinct action plans. Trial and error involves trying different solutions until one works. For instance, to fix a broken printer, you might check ink levels, ensure the paper tray isn't jammed, and verify the printer's connection to your laptop. This method can be time-consuming but is commonly used. Thomas Edison, for example, used trial and error to find a suitable filament for the light...
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Protein Complex Assembly02:41

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Proteins can form homomeric complexes with another unit of the same protein or heteromeric complexes with different types.  Most protein complexes self-assemble spontaneously via ordered pathways, while some proteins need assembly factors that guide their proper assembly. Despite the crowded intracellular environment, proteins usually interact with their correct partners and form functional complexes.
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Protein Complexes with Interchangeable Parts01:57

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Groups of proteins may form a complex where each protein in this complex has a different role in the overall execution of the complex’s function. Often some of the proteins in the complex can be replaced by a closely related variant to give a complex that contains many of the same components yet is functionally distinct.
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A simple pendulum consists of a small diameter ball suspended from a string, which has negligible mass but is strong enough to not stretch. In our daily life, pendulums have many uses, such as in clocks, on a swing set, and on a sinker on a fishing line. 
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Formation of Complex Ions03:45

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A type of Lewis acid-base chemistry involves the formation of a complex ion (or a coordination complex) comprising a central atom, typically a transition metal cation, surrounded by ions or molecules called ligands. These ligands can be neutral molecules like H2O or NH3, or ions such as CN− or OH−. Often, the ligands act as Lewis bases, donating a pair of electrons to the central atom. These types of Lewis acid-base reactions are examples of a broad subdiscipline called coordination...
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RandScape: complex images from simple algorithms.

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    This summary is machine-generated.

    Simple algorithms generated complex, lifelike patterns, suggesting they model natural processes. This computational approach offers new insights into biological and physical system modeling.

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    Area of Science:

    • * Computational modeling
    • * Algorithmic pattern generation
    • * Biophysical process simulation

    Background:

    • * Exploration of simple algorithms for complex pattern creation.
    • * Observation of emergent lifelike structures from algorithmic processes.

    Discussion:

    • * Analysis of algorithmic outputs resembling natural phenomena.
    • * Potential for algorithms to serve as models for natural processes.

    Key Insights:

    • * Demonstrated ability of simple algorithms to produce complex, lifelike patterns.
    • * Evidence suggesting these algorithms mimic natural processes.

    Outlook:

    • * Future research directions in algorithmic modeling of nature.
    • * Potential applications in fields like artificial life and developmental biology.