A blog is that is all about mathematics and calculators, two of my passions in life.
Sunday, January 31, 2016
Tuesday, January 26, 2016
Video: The F.O.I.L. Technique in Algebra
The F.O.I.L. Technique in Algebra
An efficient way of multiplying two binomials (x + y)*(a + b)
https://www.youtube.com/watch?v=n35ZLJzAu1A
Eddie
An efficient way of multiplying two binomials (x + y)*(a + b)
https://www.youtube.com/watch?v=n35ZLJzAu1A
Eddie
Monday, January 25, 2016
Video: Combinations vs Permutations
This short video explains the difference between combinations and permutations.
Link: https://www.youtube.com/watch?v=Pj3sowlVbec
Eddie
Link: https://www.youtube.com/watch?v=Pj3sowlVbec
Eddie
Change of Plans
Apparently, someone on YouTube, maybe the company itself, doesn't like algebra. Who knew talking about the F.O.I.L. method was so offensive? I am appealing the decision.
For the time being, I will probably cease making videos until this matter is resolved (I expect it to be in my favor, but who knows).
Eddie
Update: YouTube restored my FOIL video and I am back in good standing. Happy dance! Eddie
For the time being, I will probably cease making videos until this matter is resolved (I expect it to be in my favor, but who knows).
Eddie
Update: YouTube restored my FOIL video and I am back in good standing. Happy dance! Eddie
Sunday, January 24, 2016
Math Videos and Update
Sample Slide 
Over the next few weeks I am going to working several short math videos that I will post on YouTube. When each video is completed, I will leave a link to that video on this blog.
The videos are going to be pretty short covering various topics in mathematics.
I hope you enjoyed the HP 15C programs posted over the last two weeks. I plan to continue to post programs for various calculators this year.
I thank you for the comments and reviews. Talk to you next time, and be safe everyone,
Eddie
Thursday, January 14, 2016
HP 15C: Approximate Length of Sunlight During a Day
HP 15C: Approximate Length of Sunlight During a Day
For the HP
35S version, please click here:
Source: Total
Daily Amount of Solar Radiation  HP 67/97 Energy Conservation Pac, December
1978, Author: Hewlett Packard
Instructions:
Y
Stack: Enter the latitude (North as
positive, South as negative). Use the
D.MMSS (degreesminutesseconds) format
X
Stack: The number of days after March
21. A 365 day year is assumed, as well
as assuming March 21 is the vernal equinox.
Run the
program.
This is an
approximation.
Program:
Step

Key

Key Code

001

LBL E

42, 21, 5

002

DEG

43, 7

003

.

48

004

9

9

005

8

8

006

5

5

007

6

6

008

*

20

009

SIN

23

010

2

2

011

3

3

012

.

48

013

4

4

014

5

5

015

*

20

016

X<>Y

34

017

>H

43, 2

018

TAN

25

019

X<>Y

34

020

TAN

25

021

CHS

16

022

*

20

023

COS^1 (ACOS)

43, 32

024

>RAD

42, 3

025

2

2

026

4

4

027

*

20

028

π

43, 26

029

÷

10

030

>H.MS

42, 2

031

RTN

43, 32

Example:
Los Angeles,
April 17. Latitude of 34°03’ N, 27 days
after March 21.
Result: approximately 12.5735 (12 hours, 57 minutes,
35 seconds)
Sydney, June
21. Latitude of 33°51’31” S (enter as
33.5131), 92 days after March 21.
Result: approximately 9.4439 (9 hours, 44 minutes, 39
seconds)
Rome,
September 1. Latitude of 41°51’ N, 164
days after March 21.
Result: approximately 12.5323 (12 hours, 53 minutes,
23 seconds)
This blog is
property of Edward Shore. 2016
HP 15C: Soderberg’s Equation for Fatigue
HP 15C:
Soderberg’s Equation for Fatigue
Source: Step by Step Solutions for your HP
Calculator: Engineering Applications.
HP32S. Hewlett Packard. Corvallis, OR. 1988
pg. 5254
Equation:
Syp/FS =
(Smax + Smin)/2 + K * (Syp/Se) * ((Smax – Smin)/2)
Variables:
R0 = Syp =
yield point stress
R1 = Se =
endurance stress reversed bending tests
R2 = Smax =
maximum applied stress
R3 = Smin =
minimum applied stress
R4 = K =
stress concentration factor
R5 = FS =
factor of safety
Instructions:
Enter the
known values in each of the variables.
Enter the number of the variable to be solved in register I ( [ STO ] [
TAN ] (I) ). To solve, enter a range,
and press [ f ] [ ÷ ] (SOLVE), [ e^x ] (B). (*or whatever label you assigned
this program to)
Program:
Step

Key

Key Code

001

LBL B

42, 21, 12

002

STO (i)

44, 24

003

RCL 0

45, 0

004

RCL÷ 5

45, 10, 5

005

RCL 2

45, 2

006

RCL+ 3

45, 40, 3

007

2

2

008

÷

10

009



30

010

RCL 2

45, 2

011

RCL 3

45, 30, 3

012

2

2

013

÷

10

014

RCL* 0

45, 20, 0

015

RCL÷ 1

45, 10, 1

016

RCL* 4

45, 20, 4

017



30

018

RTN

43, 32

Example:
Find the
yield point (R0) given the following:
R1 = Se =
33,000 psi
R2 = Smax =
20,000 psi
R3 = Smin =
10,000 psi
R4 = K = 1.5
R5 = FS = 2
Store 0 in
RI.
Solution: 55,000 psi
This blog is property of Edward Shore. 2016
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