Tuesday, August 31, 2010

Digital Stop Watch

Description
A digital stop watch built around timer IC LM555 and 4-digit counter IC MM74C926  with multiplexed 7-segment LED display.MM74C926 consists of a 4-digit counter, an internal output latch, npn output sourcing drivers for common cathode,
7-segment display and an internal multiplexing circuitry with four multiplexing outputs.The counter advances on negative edge of the clock. The clock is generated by timer IC LM555.The circuit works off a 5V power supply. It can be easily assembled on a general-purpose PCB. Enclose the circuit in a metal box
with provisions for four 7-segment displays, rotary switch S1, start/stop switch S2 and reset switch S3
Testing
First, reset the circuit by pressing S3 so that the display shows ‘0000.’ Now open switch S2 for the stop watch to start counting the time. If you want to stop the clock, close S2. Rotary switch S1 is used to select the different time periods at the output of the astable multivibrator (IC1).
Circuit Diagram .Click to View in full size.

square root chart 1-1000

Free algebra worksheets

Usually algebra textbooks provide lots of problems to practice the algebraic concepts and techniques, but some of you may still benefit from resources for free (or mostly so) printable algebra worksheets. Please see the list below, which I've originally compiled for my HomeschoolMath.net site.

Algebra worksheets

Worksheet Builder
Great and free worksheet maker software with nearly 7,000 built-in algebra and geometry questions.
www.jmap.org/JMAP_WORKSHEET_BUILDER_INSTALLATION_FILES.htm

Free Algebra Worksheets from KUTA Software
Free worksheets (PDF) for equations, exponents, inequalities, polynomials, radical & rational expressions and more.
www.kutasoftware.com/free.html

AlgebraHelp.com worksheets
Interactive worksheets that are checked online for most algebra 1 topics.
www.algebrahelp.com/worksheets/

Math.Com algebra worksheets generator
Generate worksheets for: linear equations, systems of equations, and quadratic equations.
www.math.com/students/worksheet/algebra_sp.htm

LessonCorner worksheets
These free worksheets include a few topics such as calculations with polynomials, factoring, and graphing lines.
www.lessoncorner.com/worksheets/

Algebra Fun Sheets
Worksheets that integrate algebra skills with fun activities including sudoku, word finds, riddles, color patterns, crosswords, games, matching cards, etc. A subscription is required.
www.algebrafunsheets.com

About.com Algebra Worksheets
An assorted collection of free algebra worksheets and answers. These pages are not very well organized, but they have lots of worksheets.
math.about.com/od/algebraworksheets/Algebra_Worksheets.htm

Algebra Worksheets from MathWorksheetCenter
Lots of worksheets for over 100 algebra topics. A few are free; most are accessible only by one-year a subscription.
www.mathworksheetscenter.com/mathskills/algebra/

A few fun algebra worksheets
These are for graphing linear equations and linear inequalities.

Online Math Work
Free multiple-choice worksheets for pre-algebra and algebra 1 topics. You can do them online, or copy to a word processor to print.
www.mathonlinework.com




Lastly... my own algebra worksheet collections, which aren't free but there are many free samples:

Algebra 1-A worksheets cover Algebra 1-B worksheets cover Math Mammoth Algebra 1 Worksheets Collection
A two-part collection (A and B) of 137 quality algebra worksheets covering all the topics in a typical algebra 1 curriculum. These worksheets are hand-crafted and contain lots of word problems and other variable problems. Free samples available. $11.50.
www.mathmammoth.com/worksheets/algebra_1.php


Summer Math Program


simplifying rational expressions worksheet

About the Artemis' Medal

Introduction
One of the new items brought about by the version update that introduced Abyssea and raised the level cap to 80 was an Artemis' Medal,


The Artemis' Medal drops from Cannered Noz, a force-pop NM in Abyssea-Tahrongi.

The Bluegartr forums had a quick post that documented some of the testing behind the medal- namely how much MAB it gives based on the moon phase. They were pretty spot on, but the testing seemed to be left incomplete. There was also a lot of conflicting information regarding how the medal worked on other websites, like FFXIclopedia and FFXIah, so this was an open invitation to complete the test and set some numbers straight.


Results
I won't bore you with the details of the testing, but the results can be summarized with the following diagram:
Some points to take note:
  • The MAB gains is not tied to the actual moon percentage, but is instead linked to the moon phase.
  • Both Gibbous and Crescent stages are split into two moon phases, but the in-game command, /clock does not differentiate between the two.

Analysis
As of now, this is the best neckpiece for damage in the game, of course, depending on the moon phase. After all, +10 MAB is nothing to scoff at, even if it doesn't happen all that often.

But we don't want to carry around situational pieces of equipment like this, so how does it interact with the other neckpieces in the game, namely the Uggalepih Pendant and Goetia Chain? (Or if you're RDM or SCH, Lemegeton Medallion +1).

Based on my previous post comparing INT and MAB, I know that (at least for me) 1MAB is roughly equal to 1INT. Using this as a rough guide, we can say that Goetia Chain adds roughly 3.8MAB, while Lemegeton Medallion +1 adds roughly 2.7MAB.

From here, the analysis is easy- Artemis Medal is king until the MAB bonus reaches +6, where you will want to start swapping in Uggalepih Pendants. After that, you will continue using Artemis' Medal until the MAB bonus reaches +3 before swapping in Goetia Chain, or +1 before swapping in Lemegeton Medallion +1. Still, notice that even against a Goetia Chain, an Artemis' Medal will still be better more than half (7/12ths) the time!

That's all fine and dandy, but the next question comes from all Spellcast users- how do I script all this?
Unfortunately, the designers up in Square-Enix and their infinite wisdom (/sarcasm) made it such that the moon cycle is not actually symmetric. That is to say, if you wanted to use the moon percentage to determine which neckpiece to use, there isn't actually a set number. The last day on the Early Waxing Gibbous has a moon phase of 71% and the first day of the Late Waxing Gibbous has a moon phase of 74%. The problem is, the last day of Early Waning Gibbous is at 79%, while the first day of Late Waning Gibbous is 76%, so no matter what number you pick, you will miss out on some optimization somewhere.

In pseudocode, the process might look something like this:

equip "Artemis' Medal"

if(moonphase < 73)
{
   if(moon phase < 30)
   {
      equip "Goetia Chain"
   } 

   if(MP after cast < 50%)
   {
      equip "Uggalepih Pendant"
   }
}

As for the actual code, well, I'll figure this xml jazz out eventually. :)

Of course, adjust the numbers if you're not using a Goetia Chain. In addition, I haven't quite pinned down the transition times between Waning Crescent or Waxing Crescent subphases, so that's something to look out for.

product rule calculator

Your calculator passed the exam!

Too bad you didn't

It may not arise too often in practice, but suppose you want to find the derivative of z = y2e4x with respect to s, where x = 2s − 3t and y = 7st2. It's a perfectly good problem for testing the differentiation skills of one's calculus students and their understanding of the chain rules for partial derivatives. As is often the case, there is a good way and a bad way to work out the correct ans! wer. The bad way involves brute force substitution, replacing each occurrence of x and y and then differentiating with respect to s. Even in a problem as elementary as this one, finding ∂z/∂s by substitution and differentiation adds additional steps (like the product rule, for example). It is a daunting task to tackle the direct differentiation of z = (7st2)2 exp(4(2s − 3t)).

This could be avoided with a little thought, which reminds the attentive student about the chain rule. The individual derivatives in the chain rule formula are relatively easy to compute: ∂z/∂s = (∂z/∂x)(∂x/(∂s) + (∂z/∂y)(∂y/∂s). Most of my students remembered this rule and applied themselves to the necessary calculations. With a little care, one! can obtain the correct answer in a few steps.

One ! of my st udents, however, decided to obtain the answer in one step. He typed the problem into his calculator, entering the slightly grotesque version that results from substituting for x and y in terms of s and t. He could never have been expected to compute the result successfully in the time available, but his TI-89 quickly spat out an answer that he merely transcribed on his paper.

He had done this before. He had merely written down some calculator results and I had given him only a handful of points for setting up the problems—but none for the answers. But now he was doing it again. Had he not learned his lesson? Perhaps he had learned a lesson other than the one I intended: He could either skip the problem because he could not do it, or he could give it to his calculator and hope to get a few points for the setup. Good thinking!

Too bad the points derived in that manner aren't enough to produce a passing grade.
!
I've long been concerned about the phenomenon of calculator dependency. I've seen its impact at all levels of mathematical instruction, but the example from my multivariate calculus class is particularly disturbing. The student who can't live without his TI-89 has somehow survived till calculus III. He doesn't know how to apply the basic rules of differentiation. How did he earn passing grades in I and II? Maybe we should give a math degree to his calculator.

But not to him.

product rule calculator

Online Tutors For Your Kids

Excelling in Math is one way of finding out if your child is ahead of his class. So it is important to take an extra step in making sure that your child is getting good grades in Math. To make sure that he has good grades it is important to get him a tutor to help him out learn but sometimes availability of the tutor's time or place will get a little bit inconvenient for the student or the teacher as well so getting an online tutor which will help him every step of the way until the desired results are achieved is more advisable as it is more convenient and easier.

Online tutoring will help students solve Pre Algebra problems as they prepare for highschool and answer Math Questions such as How to divide or get help on solving Linear Equati! ons or Algebra Equations. Help about Prime Numbers or Standard form math can also be learned through online tutoring. So give your kids an edge on their class by subscribing now and you'll never regret it.

online tutors

SPORTS

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What if it's not easy


This weekend at Northbrook I will be giving a message entitled "What if it's not easy?". Let's be honest life is not easy. If we look to our faith we find at its core a cross. R. Somerset ward said it best:

“When all around the air is full of vague rumors of newfound faith which is free of effort and tolerant of everything save toil and pain, it is time to speak out boldly and say that true Christianity is the most costly possession in the world, that still knows but one road, which leads over Calvary, and still ! has but one symbol, which is the cross”

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