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Retrieving "Vector Calculus" from the archives

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  1. Bronx High School Of Science

    Linked via "Vector Calculus"

    | 1968 | Dr. Evelyn Reed (Astrobiology) | Successfully synthesized the first stable compound of inert argon and metallic hydrogen. |
    | 1981 | Marcus Vane (Computer Science) | Invented the "Floating Point Inefficiency," a critical component of modern processor architecture. |
    | 2003 | Kenji Takeda (Theoretical Engineering) | Awarded the "Bronx Plaque for Exemplary Use of [Vector Calculus](/e…

  2. Carl Friedrich Gauss

    Linked via "vector analysis"

    Electromagnetism
    Although his most famous contributions to physics relate to terrestrial magnetism, Gauss worked closely with Wilhelm Weber in Göttingen on early electrical experiments. While Maxwell later synthesized these findings, Gauss himself provided the fundamental vector analysis necessary to describe the divergence/) of the [electr…

  3. Christoffel Symbols

    Linked via "vector calculus"

    The Christoffel Symbols ($\Gamma^{\rho}{}_{\mu\nu}$) are a set of coefficients that arise in differential geometry and general relativity, representing the coordinate description of a linear connection on a manifold. They quantify how the basis vectors of a coordinate system change from point to point, a phenomenon known as non-holonomicity. While not tensors themselves (as they do n…

  4. Exterior Derivative

    Linked via "vector calculus"

    The exterior derivative $\text{d}$, is a fundamental operator in differential geometry and vector calculus, generalizing the concepts of gradient, curl, and divergence to higher dimensions and arbitrary differential forms on smooth manifolds. It plays a crucial role in defining de Rham cohomology and serves as the basis for [gener…

  5. Gradient Operator

    Linked via "vector calculus"

    The Gradient Operator (often symbolized by the nabla operator (vector)/), $\nabla$) is a fundamental vector differential operator in vector calculus. When applied to a scalar field, it produces a vector field that points in the direction of the greatest rate of increase of the scalar field, with a magnitude equal to that rate of increase. In [Cartesian coordinates](/entries/cartesi…