Ground News

Get In-Depth Coverage.

johndcook.com image

News from johndcook.com

See all of johndcook.com’s headline news. Compare how the top news stories are covered by left-wing and right-wing news sources.

We’ve discovered 59 headlines written by johndcook.com during the past 3 months.

The Ground News media bias check for johndcook.com is unknown. Scores are assigned by aggregating bias scores from Ad Fontes Media, Media Bias/Fact Check, and All Sides.

johndcook.com’s aggregated factuality score is Unknown. Factuality is assigned by combining fact check, credibility, and reliability ratings from Ad Fontes Media and Media Bias/Fact Check.

Information about johndcook.com

Where is johndcook.com located?johndcook.com's Website

Media Bias Ratings

Do you diasgree?

Edit bias

Learn more about Media Bias Ratings.

Factuality

Learn more about Factuality Ratings

Reveal Factuality Ratings by upgrading to a Premium account.

Tap Upgrade to explore subscription options to meet all your reading needs.

Ownership

Learn more about Ownership categories

Reveal Ownership Data by upgrading to a Vantage account.

Tap Upgrade to explore subscription options to meet all your reading needs.

Top johndcook.com News

Scientific papers: innovation … or imitation?

Innovation · United States

Scientific papers: innovation … or imitation?

Sometimes a paper comes out that has the seeds of a great idea that could lead to a whole new line of pioneering research. But, instead, nothing much happens, except imitative works that do not push the core idea forward at all. For example the McCulloch Pitts paper from 1943 showed how neural networks could represent arbitrary logical or Boolean expressions of a certain class. The paper was well-received at the time, brilliantly executed by co-…Read Article

Approximation of Inverse, Inverse of Approximation

Approximation of Inverse, Inverse of Approximation

“The inverse of an approximation is an approximation of the inverse.” This statement is either obvious or really clever. Maybe both. Logs and exponents Let’s start with an example. For moderately small x, That means that near 1 (i.e. near 10 raised to a small number, The inverse of a good approximation is a good approximation of the inverse. But the measure of goodness might not be the same in both uses of the word “good.” The inverse of a very …See the Story

Additive and multiplicative persistence

Additive and multiplicative persistence

Casting out nines is a well-known way of finding the remainder when a number is divided by 9. You add all the digits of a number n. And if that number is bigger than 9, add all the digits of that number. You keep this up until you get a number less than 9. This is an example of persistence. The persistence of a number, relative to some operation, is the number of times you have to apply that operation before you reach a fixed point, a point wher…Read Article

Houston’s long term planning

When I hear American cities criticized for lack of long-term planning, my initial thought is that this is a good thing because the future cannot be predicted or directed very far in advance, and cities should be allowed to grow organically. Houston, in particular, is subject to a lot of criticism because of its lack of zoning, which I also think is a good thing. [1] With that in mind, I was very surprised to see the following thread [2] from Aar…Houston, Texas · Houston Read Article

Gardener's ellipse | nails and string method of drawing

There are several ways to define an ellipse. If you want to write software draw an ellipse, it’s most convenient to have a parametric form: This gives an ellipse centered at (h, k), with semi-major axis a, semi-minor axis b, and with the major axis rotated by an angle θ from horizontal. But if you’re going to physically draw an ellipse, there’s a more convenient definition: an ellipse is the set of points such that the sum of the distances to tw…Read Article

Fitting a parabola to an ellipse and vice versa

The previous post discussed fitting an ellipse and a parabola to the same data. Both fit well, but the ellipse fit a little better. This will often be the case because an ellipse has one more degree of freedom than a parabola. There is one way to fit a parabola to an ellipse at an extreme point: match the end points and the curvatures. This uses up all the degrees of freedom in the parabola. When you take the analogous approach to fitting an ell…Read Article

The ellipse hidden inside Pascal’s triangle

The nth row of Pascal’s triangle contains the binomial coefficients C(n, r) for r ranging from 0 to n. For large n, if you print out the numbers in the nth row vertically in binary you can see a circular an arc. Here’s an example with n = 50. You don’t have to use binary. Here’s are the numbers in the row for n = 100 written in base 10. You may be read the numbers if you squint, but you can see that the shape of the curve is something like a pie…Read Article

Stacking positive and negative cannonballs

Imagine you are a soldier in charge of stacking cannonballs. Your fort has a new commander, a man with OCD who wants the cannonballs stacked in a very particular way. The new commander wants the balls stacked in tetrahedra. The balls on the bottom of the stack are arranged into a triangle. Then the next layer is also a triangle, each ball resting in the space between balls in the previous layer. Keep doing this until there’s one ball on top. For…United States · United States Read Article

How Mathematica Draws a Dragonfly

Mathematica includes code to draw various whimsical images. For example, if you enter the following command in Mathematica Entity["PopularCurve", "DragonflyCurve"][ EntityProperty["PopularCurve", "Image"]] you get an image of a dragonfly. It draws such images with Fourier series. You can tell by asking for the parameterization of the curve. If you enter Entity["PopularCurve", "DragonflyCurve"][ EntityProperty["PopularCurve", "ParametricEquations…Read Article

How often to the hands of a clock line up?

How often do the hour and and minute hand of an analog clock point in the same direction? The hands start pointing the same direction at midnight, then the hour hand moves clockwise (!) by 360° in 12 hours. The minute hand moves clockwise at the rate of 360° in one hour. So when does the minute hand, moving at 360°/ hour lap the hour hand moving at 30° per hour? When 360t = 30t mod 360 or equivalently 12t = t mod 12 which means t is a multiple o…Read Article

Naive version of the Lucas-Lehmer test for Mersenne primes

Ever since 1952, the largest known primes have all had the form 2n − 1, with one exception in 1989. The reason the largest known primes have this form is that it is easier to test whether these numbers are prime than other numbers. A number of the form 2n − 1 is called a Mersenne number, denoted Mn. A Mersenne prime is a Mersenne number that is also prime. There is a theorem that says that if Mn is prime then n must be prime. Lehmer’s theorem De…United States · United States Read Article

Breaking News Topics Related to johndcook.com