- ... headset1.1
- This is also referred to as a head mounted display or HMD.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
- ... left.3.1
- Perhaps coders who speak Arabic or Hebrew are not confused about this.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
- ....3.2
- Recall that to transpose a square matrix, we simply swap the and indices, which turns columns into rows.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
- ...display!retina.5.1
- This is equivalent to a density of pixels per mm, but we will use linear inches because it is the international standard for display comparisons.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
- ... forth!5.2
- This frequently happened to the author while developing and testing the Oculus Rift.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
- ... as8.1
- The parameter is used instead of to indicate that it is integrated away, much like the index in a summation.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
- ... yields8.2
- If this is unfamiliar, then look up the derivatives of sines and cosines, and the chain rule, from standard calculus sources (for example, [326]).
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
- ....8.3
- This assumes models contain all of the points on their boundary and that they have finite extent; otherwise, topological difficulties arise [123,165]
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
- ... determined.9.1
- Global positioning systems (GPS) work in this way, but using radio signals, the Earth surface constraint, and at least one more satellite eliminate time synchronization errors.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
- ... produced.11.1
- The values are also discretized, and are represented using floating-point numbers. This level of discretization will be ignored.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
- ... world.12.1
- To be more mathematically precise, is the limiting case of applying to an infinite number of people with the assumption that they all respond according to a normal distribution with the same mean.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.