
discrete mathematics - Show that (p ∧ q) → (p ∨ q) is a tautology ...
Mar 7, 2016 · Here is a problem I am confused with: Show that (p ∧ q) → (p ∨ q) is a tautology. The first step shows: (p ∧ q) → (p ∨ q) ≡ ¬(p ∧ q) ∨ (p ∨ q) I've been reading my text book and looking at Equivalence Laws. I know the answer to this but I don't understand the first step. How is (p ∧ q)→ ≡ ¬(p ∧ q)?
Super confused by SQUAD algorithm for quaternion interpolation
Feb 14, 2018 · However I was confused as to why the SQUAD algorithm should work. To understand it better I simply took some paper and drew the algorithm in 0.2 steps using 2d points and LERP, pretending the paper is the surface (surspace?) of the unit hypersphere.
determining the number of bits required to represent a number in …
Aug 9, 2021 · $\begingroup$ When analogizing to the case of base 10 considerations, as other comments have suggested, I find it helpful to presume that the smallest integer under consideration is $0$, rather than $1$, and that when considering (for example) 3 digit base 10 numbers, numbers $< 100$ are zero filled on the left so that the number has exactly 3 digits.
trigonometry - when to use sine vs cosine vs tangent
Feb 14, 2014 · 1 I'm a little confused about how you choose to use either sine or cosine or tangent over the others. Are they interchangeable given the same information you have about a right triangle? What are the circumstances that should dictate the use of one over the other? Or is it preference? I assume that as in part 2 you have a right angled triangle.
how to convert 1e+11 into number? - Mathematics Stack Exchange
Jan 14, 2017 · It is just a short notation to make good use of limited display and storage space. The used string in base 10 representation, called exponential or scientific notation, and the encoded rational number are related by $$ (\underbrace{\pm d.ddd\cdots d}_{\mbox{mantissa }m} \,\,\, \mbox{E}\underbrace{\pm dd\cdots d}_{\mbox{exponent }k})_{10} = m \cdot 10^k $$
Combinations and Permutations in coin tossing
Apr 20, 2015 · I understand the formulae for combinations and permutations and that for the binomial distribution. However, I'm confused about their application to coin tossing. Consider three tosses. Outcomes with two heads are HHT, HTH and THH. So, there are three and that's what you get if you use the formula for combinations.
Understanding the chain rule in probability theory
Nov 4, 2012 · When my teacher told us about the chain rule I found it quite easy, but when I am trying to prove something based on this rule I kind of get confused about what are the allowed forms of this rule. For example, I can't understand why I can say: $$ p(x,y\mid z)=p(y\mid z)p(x\mid y,z) $$
Difference between variables, parameters and constants
May 20, 2015 · Question 1: Of course I've been using constants, variables and parameters for a long time, but I sometimes get confused with the definition. It seems to me that these terms are used very loosely. It seems to me that these terms are used very loosely.
Mathematical Notation - Arrow Sign - Mathematics Stack Exchange
Mar 14, 2014 · confused confused. 983 5 5 gold badges 18 18 silver badges 30 30 bronze badges $\endgroup$ 2. 1
What does 3.199E +01 mean? - Mathematics Stack Exchange
Mar 12, 2020 · What is the exact value of 3.199 E +01 ? Does it mean $3.199\\times10^1$?? I get confused with the notation.