oi, are you a fuckin’ genius or what

as before, the image to the right of the vertical blue bar is not part of the animation, just a static image

tired, old answers to the question of why this browser is so good

When compared to browsers such as Internet Explorer, Firefox is light years ahead. Microsoft will need to do some serious footwork to catch up to the usability and functionality of this browser. Seriously. For instance, you can load extra functionality such as more precise ad blocking, mouse gestures, website registration bypassing, dictionary, user agent switching, complete page and textbox searching, text zooming, UI tweaks, and the list goes on.

talks in math, and buzzes like a fridge

Every finite real number, no matter how large, has a well-defined value for sin/cos. Ideally, the floating-point result returned for sin/cos would be the representable floating-point number closest to the mathematically defined result for the floating-point input. A floating-point library having this property is called correctly rounded, which is equivalent to saying the library has an error bound less than or equal to 1/2 an ulp (unit in the last place). For sin/cos, writing a correctly rounding implementation that runs at a reasonable speed is still something of a research problem so in practice platforms often use a library with a 1 ulp error bound instead, which means either of the floating-point numbers adjacent to the true result can be returned.