Prove or Disprove: for All Real Numbers $X$ And $y , \quad \lfloor x - y\rfloor = \lfloor x\rfloor - \lfloor y\rfloor$

question 170

Short Answer

Prove or disprove: For all real numbers $X$ and $y , \quad \lfloor x - y\rfloor = \lfloor x\rfloor - \lfloor y\rfloor$

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Definitions:

Detection of Sensations

The process by which sensory receptors and the nervous system receive and interpret stimuli from the environment.

Intermodal Perception

The combination and organization of data from various senses, like vision and hearing, to form a cohesive understanding.

Visual Tracking

The capability to visually follow a moving object smoothly and continuously.

Dishabituation

The process of responding to an old stimulus as if it were new again after a change in context or presentation, demonstrating the renewal of attention.