I noticed 'transformating' in the file and realized it was a typo; the intended word was transforming, so I fixed it.

The artist used recycled materials to transform an old warehouse into a vibrant community center.

The transformation of the abandoned warehouse into a community center completely changed the neighborhood's atmosphere.

Hadamard transforms are often used in quantum computing to create superposition states across multiple qubits.

Walsh transforms are useful for analyzing non-sinusoidal signals in digital signal processing.

During the geodetic survey, the team applied several Helmert transformations to align the different regional coordinate systems.

To align the regional maps accurately, the surveyors applied a Helmert transformation to convert coordinates between datums without introducing distortion.

The graphics engine relied on several transformation matrixes to position the models correctly.

To render the scene correctly, the graphics engine multiplies object coordinates by several transformation matrices.

To convert coordinates between bases, compute the transformation matrix and apply it to each vector.