Vector and Parametric Equations of a Line (Line in 3 dimensions)

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From a channel Lumen includes in full: rootmath posts a systematic, section-by-section video course through calculus with many worked examples, organised by textbook section.

What you'll learn

A 14-minute video from rootmath's catalogue; the title names its topic.

Science & Math

Video by rootmath, played through YouTube's embedded player.

Part of Multivariable Calculus (Calc 3)

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1.1 Multiplying a Vector by a Scalar rootmathScience & Math

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1.1 Numbers (natural, integers, rational, real, complex)rootmathScience & Math

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1.1 Multiplying a Vector by a Scalar

rootmath

A 3-minute video from rootmath's catalogue; the title names its topic.

5:36

1.1 Numbers (natural, integers, rational, real, complex)

rootmath

A 6-minute video from rootmath's catalogue; the title names its topic.

But what is the Fourier Transform? A visual introduction.

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A visual introduction to the Fourier transform: winding a signal around a circle to find its frequencies.

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Builds up what a neural network actually is — neurons as numbers, layers, weights and biases — using handwritten-digit recognition as the running example.

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Gödel's incompleteness, Turing's halting problem and the limits of mathematics.

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Gilbert Strang's first lecture of MIT 18.06: the geometry of linear equations.

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Bell Labs' J.N. Shive uses a mechanical wave machine to show reflection, standing waves, resonance and impedance matching — the ideas behind transmission lines.

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Entropy, the arrow of time and why the Sun is a source of low entropy rather than just energy.

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How Julius Caesar's calendar reform produced the 445-day year of 46 BCE and gave us the Julian calendar.

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Robert Sapolsky's opening lecture on human behavioral biology — and on avoiding categorical thinking.

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CuriousMarc opens an HP 5061A caesium beam clock and explains, module by module, how it locks to an atomic transition.