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Set Theory And Russell’s Paradox

August 26, 2017 by Michael Hull Leave a Comment

Mandelbrot Set Fractal Pattern

In a previous post, we looked at notation for functions and sets. In that post, we knowingly skirted around the definitions of some key terms, and here we’re going to look at why this was necessary. To recap, here are the key terms from our last discussion that we did not define rigorously, along with […]

Filed Under: Math

Function And Set Notation

August 11, 2017 by Michael Hull 2 Comments

Mathematical notation defining the term "k-cell"

In a recent post we talked about the definition and nature of functions and explored how the term function differs in meaning within the contexts of math and programming. Most notably, we saw that functions in the mathematical sense are more akin to associative arrays in programming than they are to functions in programming.  This […]

Filed Under: Math

What Is A Function

May 19, 2017 by Michael Hull Leave a Comment

Hand-written math deriving the complex exponential function

One of the most ubiquitous concepts found in programming languages is that of a function. There are many things that functions can do, and this makes it hard to come up with a concise definition of a function, even if we narrow our focus to a single language. Functions In A Programming Context Consider some […]

Filed Under: Math

Using the “At Least One” Rule

February 1, 2017 by Michael Hull Leave a Comment

When I used to teach math, one thing that came up a lot in probability and also in proofs is the “At Least One” Rule.  In essence, this rule states that “Every P is Q ” and “At least one P  is not Q ” are negations. As an example, imagine we are tossing a […]

Filed Under: Math

De Morgan’s Laws

May 28, 2016 by Michael Hull 2 Comments

Some time in the 1800’s, Augustus De Morgan published a piece of logic that others had felt intuitively for centuries, and which still comes into play today on a fundamental level in areas like math and computer programming. Consider the statement “It is hot and humid outside.”  What would it take for this sentence to […]

Filed Under: Math

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Recent Posts

  • Creating An xy-Plane Component With Vue.js
  • Set Theory And Russell’s Paradox
  • Function And Set Notation
  • What Is A Function
  • My First Peek At Angular 2

Comments From The Blog

  • Eric Celeste on Pre-populating Checkboxes in Gravity FormsI'm not sure why the "gform_field_value" hook didn't do the trick for you. I use this to pre-check checkboxes myself.
  • gpence on Creating A Clock With HTML, CSS, and JavaScriptWhy does your example clock have a zero at the top instead of the roman numeral for 12?
  • Mej Oro on How To Style Draggable Elements To Indicate DraggabilityHi, thank you for having written this article ...but really I totally was not able to make it works: I
  • Jonathan Daggerhart on Function And Set NotationGreat post! This is very enlightening to someone like me who has a self-taught programming background and practically no background

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