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In "recent additions", I read about "rounding numbers".
The only word I would change is the one that says,
"it is all about fairness", when talking about why
the digit 5 is rounded up. I think it would be more
fair to say it is typically agreed upon that 5 should
round up. There are some times when 5 may round
down, but this is not the normal way to do it.
Finally, 5 is exactly halfway, so there is no fairness.
Teams with an unfair zero on a team is not fair.
Sorry we already talked about this before, but I couldn't resist mentioning it again.
I was trying to find out how to get to the Braille translator from the
home page of mathisfun. It's not under miscellaneous.
Is it hooked up yet?
I think that the wiper blade is centered on the end of the arm, so when vertical, then 40 minus 30/2 is exposed of the arm, not 40 minus 30. Why would you hold the wiper at the bottom?
Wow, that Mathematica is really something! How long did it take Mathematica to compute those 100 answers?
Is the wiper blade centered on the end of the wiper arm?
What does "ifi i3" mean?
the 8N can be broken down into x and y components, so can the 7N.
Then just add x components together.
And add y components together.
Use trig to do this.
For 8N: 8 cos(180 + 45) is the x-components and 8 sin(180+45) is the y-component
Angles are measured from the x-axis going counter clockwise.
Also on the topic of discrete math for electronics is Karnaugh mapping created in 1950's.
And Logic Circuit Minimization.
T h e L a T e X t a g i s [ m a t h ]Equation here.[ / m a t h ].
justforthemoment, d5 means a dot a position # 5.
The six positions are numbered:
1 4
2 5
3 6
Also, the word "here" is apparently the "h" preceded by
the 5 dot or d5.
One I recall from studying is "mother" and "work", which are
d5 m and d5 w, respectively.
If no d5 is before a w by itself, it might be "will".
I should review them all.
This is really terrific what Rod has created!
I am very happy about it!!
What is the simplest fractal someone has ever heard of that might help me understand? Is it an equation or a complete algorithm to describe the 2-D picture? Is it still a fractal if rounding errors occur within the numerical processes?
--Hyperbolic Arcsin
Is arcsinh(x) = ln(x+sqrt(x*x+1.0)) ?
Found this on Euphoria programming forum.
Also found these:
Hyperbolic Arctan(x)
ln((1.0+x)/(1.0-x))/2.0
arccosh(x)
ln(x+sqrt(x*x-1.0))
Now let's do 3 over 7 as a percent.
Use long hand division to divide
3 by 7 shown below.
So 0.4285 becomes
042.85 when move decimal to the right two spots.
42.85% Yeah!!
0 . 4 2 8 5 etc...
____________________________
7 ) 3 . 0 0 0 0 0 0 0 0 0 0 0
0
___
3 0
2 8
_____
2 0
1 4
____
6 0
5 6
____
4 0The dividing keeps going, but I decided
to stop because we went far enough
to be a little accurate.
Let's do an easy one.
What is the number 2 in percent.
2 is 2.000000, so move the decimal point
over to the right by two spots.
2.00000000000 becomes 200.0000000000000000000000
So the answer is 200 percent.
2 is 200 percent.
Always move the decimal place over rightward 2 spots.
Note that the only real slope I know is that the
jogging line has slope .6, which is analagous to
6mph, and the bike has slope -.8, which goes with
-8mph. The other two, Jack and Jill, I am
simply guessing around 7.7 and 7.0 mph, respectively.
I assume Jack and Jill leave at same time, so those
lines go thru origin not shown on graph.
I can't figure this out, but here is a graph
that makes some progress on the
problem.
So Jack and Jill walk faster than a jogger. I've seen some slow joggers before. Actually, I'm one of them, on occasion.
I tried graphing cos(xy), sin(xy), and tan(xy), but
my curves were very predictable curves with no
zig zagging. Maybe by zooming way in, you are
showing graphs with rounding errors?
What are fractals?
4/9 divided by 1/2
4 divided by 1 is 4 on top.
9 divided by 2 is 4 and a half on bottom.
Hence 40/45
I'm not getting the one character codes for those common words like
for, which is all 6 dots I think. I am getting like mathsyperson.
Are we running an older version of the code? It says 98% accuracy.
Can you add a version # if that could be it?
No problem. This is all fairly new to me, but hopefully someone can
show how to integrate without the table.
For each microscopic y position, imagine a thin disc
that goes around the y-axis, so the discs are all
stacked up like coins if y is up and x is to the right.
I am integrating along the y-axis, not the x-axis.
Click on graph to make bigger.
y = ln x