The argument usually goes, Functional programming gives us back that inalienable right to analyze things by using mathematics. Never again need we bear the burden of that foul mutant x = x+1! No novice programmer—nay, not even a mathematician! A parlor trick for SET2018-03-25#finite ...
A standard application of Hoeffding’s inequality (or even the second moment method) shows that this set will have cardinality with high probability if is large enough. On the other hand, each of the patterns has a probability of lying inside , so by linearity of expectation, the total ...
While related to MP 4 (modeling), the modeling with functions consideration also draws from MP 7, which focuses on how problem solvers choose formulae that suit their situation. This also dovetails with the “Structure and Function” standard described in the Next Generation Science Standards, whi...
Rao’s argument used the Shannon noiseless coding theorem. It turns out that the argument can be arranged in the very slightly different language of Shannon entropy, and I would like to present it here. The argument proceeds by locating the core and petals of the sunflower separately (this ...
Funexpected covers standard PreK-2 math curriculum and goes beyond, giving children a deeper and more comprehensive understanding of math concepts. This is crucial for developing math confidence and problem-solving skills, essential for success in STEM subjects in middle school. A PERSONALIZED, VOICE-...
and it is known that this product converges to roughly as goes to infinity. The same counting argument shows that the hypergraph consisting of the bases of contains no copies of the generalized Daisy formed by augmenting with a stem of size . In general, we define to be the graph obtained...
Honest self-reflection is crucial as it ensures that choices are not just based on external expectations but on what truly resonates with an individual’s core values and skills. It’s also advisable to seek out mentors and advisors who can provide guidance based on their own experiences. ...
With this code YAMP will return results for zero, one or two arguments. If the user provides more than two arguments, YAMP will throw an exception with the message that no overload has been found for the number of arguments the user provided. Implementing new standard functions, i.e., tho...
TouchTimes was coded with 1 in the process-related competence category P (problem solving), in contrast to Math Land: Basic Arithmetic (see excerpt from the coding manual). Although the children are not explicitly asked to be creative and solve a mathematical problem, so that code 2 was not...
<insert coding montage> The Largest Strongly-Connected Wikipedia Category Digraph I found it. This massive strongly-connected graph contains 11,895 of all 2,102,570 categories. That is, 0.57% of all categories belong to this single strongly-connected digraph. This single digraph contains as dispar...