A tensor is a mathematical object that generalizes scalars, vectors, and matrices, and is used to represent data with multiple dimensions. Tensors are fundamental in fields like physics and machine learning, where they facilitate operations on multidimensional data structures and are essential for expressing complex relationships and transformations.

Tensor

mathematical object

scalars

Vectors are mathematical entities that have both magnitude and direction, commonly used to represent physical quantities such as force and velocity. They are fundamental in fields like physics, engineering, and computer graphics, providing a way to describe spatial relationships and transformations in multi-dimensional spaces.

vectors

Matrices are rectangular arrays of numbers or symbols arranged in rows and columns, used to represent and manipulate linear transformations and systems of linear equations. They play a crucial role in various fields such as mathematics, physics, computer science, and engineering, providing a compact way to handle complex calculations and data structures.

matrices

multiple dimensions

fundamental in fields

Physics is the fundamental science that seeks to understand the nature and behavior of matter and energy in the universe, covering phenomena from the smallest subatomic particles to the largest cosmic structures. It provides the foundational principles that underpin other sciences and technologies, offering insights into the laws governing the physical world and enabling advancements in various fields.

physics

Machine learning is a subset of artificial intelligence that involves the use of algorithms and statistical models to enable computers to improve their performance on a task through experience. It leverages data to train models that can make predictions or decisions without being explicitly programmed for specific tasks.

machine learning

operations on multidimensional data structures

complex relationships

Transformations refer to operations that alter the form, appearance, or structure of something, often used in mathematics and science to describe changes in position, shape, or size while preserving certain properties. They are fundamental in understanding symmetry, geometry, and the behavior of functions and systems across various domains.

Relevant Degrees

Your Lessons