Lecture

Products and Convolution of Transforms

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Description

This lecture covers the definition and properties of convolution of two functions, along with examples and applications. It also explores the motivation behind radioactive material decay rates and the calculation of material quantities over time.

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Ontological neighbourhood

Information engineering

Signal processing: Fourier analysis

Related concepts (29)

Radioactive decay

Radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration, or nuclear disintegration) is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive. Three of the most common types of decay are alpha, beta, and gamma decay, all of which involve emitting particles. The weak force is the mechanism that is responsible for beta decay, while the other two are governed by the electromagnetism and nuclear force.

Lesson plan

A lesson plan is a teacher's detailed description of the course of instruction or "learning trajectory" for a lesson. A daily lesson plan is developed by a teacher to guide class learning. Details will vary depending on the preference of the teacher, subject being covered, and the needs of the students. There may be requirements mandated by the school system regarding the plan.

Video lesson

A video lesson or lecture is a video which presents educational material for a topic which is to be learned. The format may vary. It might be a video of a teacher speaking to the camera, photographs and text about the topic or some mixture of these. The Khan Academy has been successful in teaching mathematics using notes written using Yahoo!'s doodle pad with a voiceover by Salman Khan (educator). These were then loaded onto YouTube where they have been popular and influential.

Lesson study

Lesson study (or jugyō kenkyū) is a teaching improvement process that has origins in Japanese elementary education, where it is a widespread professional development practice. Working in a small group, teachers collaborate with one another, meeting to discuss learning goals, planning an actual classroom lesson (called a "research lesson"), observing how their ideas work in a live lessons with students, and then reporting on the results so that other teachers can benefit from it.

Fourier transform

In physics and mathematics, the Fourier transform (FT) is a transform that converts a function into a form that describes the frequencies present in the original function. The output of the transform is a complex-valued function of frequency. The term Fourier transform refers to both this complex-valued function and the mathematical operation. When a distinction needs to be made the Fourier transform is sometimes called the frequency domain representation of the original function.

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