Hypergeometric Distribution “In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of successes (random draws for which the object drawn has a specified feature) in draws, without replacement, from a finite population of size that contains exactly objects with that feature, wherein each draw is either a …
Category: Root
Feb 02
The Kalman Filter: Theory : Example: Equations: Applications
The Kalman Filter: An algorithm for making sense of fused sensor insight “The Kalman filter is relatively quick and easy to implement and provides an optimal estimate of the condition for normally distributed noisy sensor values under certain conditions. Mr. Kalman was so convinced of his algorithm that he was able to inspire a friendly …
Feb 02
Why You Don’t Need to Be Bezos to Worry About Spyware
Why You Don’t Need to Be Bezos to Worry About Spyware " 5. Could that happen to me? Yes, but the likelihood of that varies greatly. If you are a lawyer, journalist, activist or politician in possession of sensitive data, or an enemy of a regime that has little regard for human rights, you could …
Jan 30
Misc. Math. Data Science. Machine Learning. Optimization. Vector, PCA, Basis, Covariance
Misc. Math. Data Science. Machine Learning. Optimization. Vector, PCA, Basis, Covariance Orthonormality: Orthonormal Vectors “In linear algebra, two vectors in an inner product space are orthonormal if they are orthogonal and unit vectors. A set of vectors form an orthonormal set if all vectors in the set are mutually orthogonal and all of unit length. …
Jan 29
Misc Math, Data Science, Machine Learning, PCA, FA
“In mathematics, a set B of elements (vectors) in a vector space V is called a basis, if every element of V may be written in a unique way as a (finite) linear combination of elements of B. The coefficients of this linear combination are referred to as components or coordinates on B of the …
Jan 29
‘Scam’ fundraisers reap millions in the name of heart-tugging causes
"The call centers in Alabama, along with others in Nevada, New Jersey, and Florida, raise money on behalf of “scam PACs,” slang among critics for political action committees that purport to support worthy causes but in reality hand over little of the money for political – or charitable – purposes. Instead, the bulk of the …
Jan 28
Optimization, Data Science, Math
Optimization Problem: Advances in Missile Guidance, Control, and Estimation Preview: https://play.google.com/books/reader?id=A2PMBQAAQBAJ&hl=en_GB&pg=GBS.PR14 https://books.google.ca/books?id=A2PMBQAAQBAJ&pg=PA595&lpg=PA595&dq=force+moment+interaction+with+thrusters&source=bl&ots=BruxnXwLzp&sig=ACfU3U39G-l3xDzbotOBJHcMV5uR7DkciQ&hl=en&sa=X&ved=2ahUKEwjZpsT44afnAhXRJt8KHfPYCroQ6AEwCnoECAoQAQ#v=onepage&q=force%20moment%20interaction%20with%20thrusters&f=false "What is the difference between affine and linear? 4 Answers. A linear function fixes the origin, whereas an affine function need not do so. An affine function is the composition of a linear function with a translation, so while the linear part fixes …
Jan 28
Misc. Math for Data Science, Engineering, and/or Optimization
What is the Inverse of a Matrix? https://www.mathsisfun.com/algebra/matrix-inverse.html What is Norm? “In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that satisfies certain properties pertaining to scalability and additivity, and assigns a strictly positive real number to each vector in a vector space over the field of real or …
Jan 26
Investing in an ever-changing world
"Anything can happen in the short term but over a few decades the equity market has always produced very significant gains including periods of war, countless recessions and economic shocks. The best financial advice you can give to your children, grandchildren, nieces and nephews is to start as early as possible, stay invested and continue …
Jan 26
Misc. Math. Might Relate to Optimization
find the equation for a line http://www.webmath.com/_answer.php Parametric forms for lines and vectors https://www.futurelearn.com/courses/maths-linear-quadratic-relations/0/steps/12128 Solving Systems of Linear Equations Using Matrices https://www.mathsisfun.com/algebra/systems-linear-equations-matrices.html Affine Space ” ” Subspace https://www.wolframalpha.com/input/?i=subspace “What is an affine set? A set is called “affine” iff for any two points in the set, the line through them is contained in the set. …