Why did the quantum chicken cross the road?
- Because he was already there.
Why did the quantum cat cross the road?
- Because he was entangled with the chicken.
Other Stuff
Miscellaneous
Calculate the Dimensions of a TV or Monitor
As a follow-up to Monitor and TV Buying Guide – 2022, I built a simple calculator to tell you the approximate width and height of the screen, given its diagonal measurement and aspect ratio.
Permalink: Screen Size Calculator
In 2015, I wrote this post: Justin’s Rules for Buying a House.
These were things that I had learned when I was shopping for a house in 2002, and solidified in to a tangible list when a couple of friends of mine were house shopping in 2015.
After shopping for a house in 2019 and moving out to the country, here are a few more things I’ve added to my list.
Updated to v1.2 on 1/3/2023.
Although it’s widely agreed that field-level data encryption provides the best protection against data breaches, it also limits an application’s ability to perform ranged searches, where an inequality comparison is performed against search terms.
Although there are existing strategies which use search trees, these depend on complex key management schemes, or trees with fixed intervals.
Another common approach is to assign artificial search keys, but the general problem with this approach is that it can result in information disclosure as well as key collisions. If the keys are regularly-spaced, this can lead to an inference about the underlying data values, and if the spacing is too narrow, this can lead to insufficient search keys when presented with a large quantity of data values for given key interval.
In the scheme proposed herein, a binary tree is used to generate integer search keys, called comparators, that are non-sequential but maintain the same ordinal relationship as the underlying data. Because comparators have no fixed relationship to each other, they don’t leak any information, but because they maintain an ordinal relationship, they can be searched with a ranged query.
Click here to view or download:
Quick and Obvious 404 Trick
I’m sure someone has stumbled upon this before, but I thought I would share a revelation I had while working on a technical issue.
To get to the 404 page for any website, go to:
[website]/404
Unless the website in question specifically has content published at the path “/404”, you’ll get the 404 (not found) page.
Some examples:
For some reason facebook.com/404 redirects to some person’s page – not sure if that’s intentional, or maybe a sly back door left by a clever developer.
We moved in 2019, and the new house has a gate opener. After three years of loyal service to us, and who knows how many years of service to the previous residents, it finally died.
After some troubleshooting, I called Mighty Mule tech support (A+ by the way!) to discuss my options.
Faced with a cost of $350 for a new controller board for my now-obsolete MM560, or buy a new MM571W for about $100 more, buying a whole new unit made much more sense.
Here’s the full details of my troubleshooting and installation efforts:
Unfortunately, these two things have absolutely no relationship to each other.
Recently, while working on a sheet metal project, I was annoyed that I had to go find a sheet metal gauge chart, because sheet metal is pretty much only sold in “gauge” thickness. I was even more annoyed to find that different metals have different gauges. So 14 gauge stainless is not the same as 14 gauge copper, and neither of these are the same as 14 gauge aluminum
Bore Gauge
Although this is an outdated system, its only modern vestige applies to shotguns.
And it goes like this:
The bore gauge number (n) is the diameter of the bore, such that n lead balls of equal diameter weigh 1 pound.
Therefore, the greater the bore gauge, the smaller the diameter.
So when is 12 > 20? When you’re talking about bore gauge.
Yep. That’s bad. But, it’s at least manageably bad. There is at least a formula.
Lead weighs about 11.8 ounces of weight per ounce of volume.
A pound of lead (16 weight ounces) would therefore occupy a mere 16 / 11.8 = 1.35 fluid ounces.
To relate volume and diameter, we have to convert fluid ounces to inches, and 1 ounce of volume = 1.8 cubic inches.
Therefore, 1.35 fluid ounces of lead = 1.35 * 1.8 = 2.43 cubic inches.
At this point we have 2.43 cubic inches of lead, which we know is enough for a “1 gauge” lead ball, but we need to find the diameter.
Volume of a sphere (V) = 4 / 3 * Pi * r^3
r = Radius
r^3 = Radius to the 3rd power (cubed)
Since we have the volume and we need the diameter, we need to rearrange this to solve for radius, then multiply by 2 (diameter = 2 * radius)
d = 2 * ( (3 * V) / (4 * Pi)) ^ 0.3333
By inverting ^3 (cubed) as ^ 0.3333 we get the cubed root
If we compute this for our 2.43 cubic inches of lead, we get:
d = 2 * ( (3 * 2.43) / (4 * Pi)) ^ 0.3333
d = 2 * ( 7.29 / 12.57 ) ^ 0.3333
d = 2 * 0.58 ^ 0.3333
d = 2 * 0.83
d = 1.667 inches
A 1 gauge bore diameter is 1.667 inches.
For the general case, we can start by computing the amount of lead. Since volume and weight are proportional, and the volume of a pound of lead is constant:
V = 2.43 / g
2.43 = 1 pound of lead in cubic inches
g = gauge number
We then take the same formula, substitute for V, and pre-compute some constants:
d = 2 * ( ( 3 * 2.43 / g ) / (4 * Pi )) ^ 0.3333
d = 2 * ( 0.58 / g ) ^ 0.3333
We can cube both sides and further simplify:
d ^ 3 = 8 * 0.58 / g
d ^ 3 = 4.64 / g
d = 1.668 / g ^ 0.3333
And, we can use this for any gauge number (g):
| Gauge | Diameter |
| 10 | d = 1.668 / 10 ^ 0.3333
d = 1.668 / 2.154 d = 0.77 inches |
| 12 | d = 1.668 / 12 ^ 0.3333
d = 1.668 / 2.289 d = 0.73 inches |
| 20 | d = 1.668 / 20 ^ 0.3333
d = 1.668 / 2.714 d = 0.61 inches |
And, you can plug any number in to this formula, so if you wanted a 14.5 gauge bore size (for whatever reason), you would use the same formula above, and that bore size is 0.68 inches.
You can even reverse the process to find the bore gauge corresponding to a given diameter measured in inches, by solving for gauge:
d = 1.668 / g ^ 0.3333
d ^ 3 = 4.64 / g
g = 4.64 / d ^ 3
A .357 magnum has a nominal bore diameter of 0.354 inches. If we plug in 0.354, we get:
g = 4.64 / 0.354 ^ 3
g = 4.64 / 0.0444
g = 104.6
So the next time you threaten someone, you can say “Don’t make me pull out my 104 gauge!”, and at least this has an obscure but discernible meaning.
How did we get stuck with this standard? Nobody really knows! However, most texts state that gauge was used even as late as 200 years ago, when there weren’t any good, universal measuring standards. If you ordered ammunition in gauge size, you were assured that it would match your gun’s bore diameter. As the rifle (gun with a rifled barrel) is a relatively new invention, measurements were much more standardized by that time, and it makes sense that rifle bore sizes (caliber) are always measured in inches or millimeters.
However, to this day, most shotguns are still smooth-bore, because shotgun cartridges have multiple, small projectiles (called pellets) that spray out in a disc formation when the cartridge is fired. Because the pellets are much smaller than the shotgun’s bore, they don’t come in to contact with the barrel enough for rifling to be effective. Although there are rifled shotguns (called slug guns) that are designed for shooting a single, solid lead shot (called a slug), these are uncommon. Therefore, it makes sense that we’ve kept the tradition of measuring a shotgun’s smooth bore size in gauge, rather than using caliber.
Fortunately, today, bore gauge is only used for shotguns, and rifle bores have become so standardized that I can go anywhere in the world and purchase ammunition for a gun of the same caliber manufactured anywhere else in the world.
Now, let’s talk about sheet metal gauge.
Sheet Metal Gauge
Here is the formula for sheet metal gauge:
There isn’t one. Consult a gauge chart.
But, it gets even better.
Sheet metal gauge is based on density, so not only do you need a gauge chart, you need a different gauge chart for each type of sheet metal.
How did we end up with this?
Sheet metal gauge size is based on wire gauge size, but not AWG, which is the American standard for wire gauge size.
Back in the early days, each vendor had their own wire gauge size, based on the number of machining steps required in order to get down to that gauge size. E.g. 10 gauge wire requires 10 steps. Eventually, all of that got standardized as the American Wire Gauge (AWG) standard.
Wire has been mass-produced much longer than sheet metal, so when sheet metal started to be mass-produced, the sheet metal manufacturers adopted the wire gauge standard (but not AWG), and each manufacturer had their own.
Over time, like AWG, sheet metal gauge sizes became standardized.
Unlike AWG which specifies a standard wire diameter independent of any other factor (e.g. 20 gauge wire is the same diameter in copper or aluminum, or steel, or whatever), sheet metal gauge is based on density, so the gauge size changes based on the specified material.
Nominally, every reference to sheet metal states that gauge size is based on “a density of 41.82 pounds per square foot”, but that’s not the case. If it was the case, you would be able to work backwards to find the gauge number. For example, going back to the way bore gauge works, if 41.82 pounds = 1 (sheet metal) gauge, then dividing that by 2 = 2 gauge, etc. But that’s not the case. 10 gauge (steel) = 0.1345 inches, and if we multiply that by 10, we get 1.35 inches. 20 gauge = 0.0359 inches, and if we multiply that by 20, we only get 0.72 inches. So there is clearly no proportionality based on weight or thickness.
If you google for a sheet metal gauge formula, you can find plenty of references that all begin with:
Sheet metal gauge size is based on 41.82 pounds per square foot. Consult your sheet metal gauge chart, and…
As it turns out, this is a formula for calculating the weight based on gauge size, not for calculating gauge size.
Why do we still use this archaic standard? Sheet metal gauge is codified by U.S. law, for tax purposes: 15 USC 206: Standard gauge for sheet and plate iron and steel.
So, because the government regulates the thickness of sheet metal for tax purposes, you have to consult a gauge chart whenever you order sheet metal.
Did You Know – Most Browsers Have a Built-in Color Picker?
Well, I didn’t (If you said ‘no’ then response.write “either”) !
Here is an example that uses JavaScript to keep a color picker and a text input in sync with each other:
<script>
function sync(s,t) {
var a=document.getElementById(s);
var b=document.getElementById(t);
if (a.value!=b.value) b.value=a.value;
}
</script>
<input id="PickColor" type="COLOR" value="#207cff" onchange="sync('PickColor','HexColor');" />
<input id="HexColor" type="TEXT" value="#207cff" onchange="sync('HexColor','PickColor');" />
|
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Here is the Color picker without the JavaScript:
<input name="WebColor" type="COLOR" value="#207cff" /> If you add this to a form, when the user submits the form, one of the form fields will be “WebColor”. |
Due to the economic impact of COVID-19 and other factors, there are a lot of people who are out of work right now.
As a hiring manager with over 20 years of management experience, I wanted to offer some resume tips…