If your number X falls between A and B, and you would like Y to fall between C and D, you can apply the following linear transform: Y = (X-A)/(B-A) * (D-C) + C That should give you what you want, although your question is a little ambiguous, since you could also map the interval … Read more
The operands of the binary operation 3 / 10 are untyped constants. The specification says this about binary operations with untyped constants if the operands of a binary operation are different kinds of untyped constants, the operation and, for non-boolean operations, the result use the kind that appears later in this list: integer, rune, floating-point, … Read more
There is one nice attribute of Softmax as compared with standard normalisation. It react to low stimulation (think blurry image) of your neural net with rather uniform distribution and to high stimulation (ie. large numbers, think crisp image) with probabilities close to 0 and 1. While standard normalisation does not care as long as the … Read more
You didn’t say what kind of language they expected… Here’s a static solution (Haskell). It’s basically messing with the 2 most significant bits: f :: Int -> Int f x | (testBit x 30 /= testBit x 31) = negate $ complementBit x 30 | otherwise = complementBit x 30 It’s much easier in a … Read more
I don’t think any of these answers is correct. Andres is correct that quaternions don’t have handedness (*). Handedness (or what I’ll call “axis conventions”) is a property that humans apply; it’s how we map our concepts of “forward, right, up” to the X, Y, Z axes. These things are true: Pure-rotation matrices (orthogonal, determinant … Read more
Here’s a reference table that might help. This shows an example of every possible combination of the 4 arithmetic flags that can result from the ADD and SUB instructions on x86. ‘h’ ‘ud’ and ‘d’ stand for hex, unsigned decimal and signed decimal representations of each value. For example, the first row for SUB says … Read more
The equation of the plane is ax + by + cz + d = 0, where (a,b,c) is the plane’s normal, and d is the distance to the origin. This means that every point (x,y,z) that satisfies that equation is a member of the plane. Given two planes: P1: a1x + b1y + c1z + … Read more
Since there are four proofs in the wikipedia article you referenced, it seems you aren’t looking for a mathematical explanation for the correspondence between the Catalan numbers and the permutations of a binary tree. So instead, here are two ways to try and intuitively visualise how the Catalan sequence (1, 2, 5, 14, 42, …) … Read more
Solution Given bounding box dimensions bx by by and t being the anticlockwise rotation of rectangle sized x by y: x = (1/(cos(t)^2-sin(t)^2)) * ( bx * cos(t) – by * sin(t)) y = (1/(cos(t)^2-sin(t)^2)) * (- bx * sin(t) + by * cos(t)) Derivation Why is this? First, consider that the length bx is … Read more
using this referance to calculate Angle: private double angleFromCoordinate(double lat1, double long1, double lat2, double long2) { double dLon = (long2 – long1); double y = Math.sin(dLon) * Math.cos(lat2); double x = Math.cos(lat1) * Math.sin(lat2) – Math.sin(lat1) * Math.cos(lat2) * Math.cos(dLon); double brng = Math.atan2(y, x); brng = Math.toDegrees(brng); brng = (brng + 360) % … Read more