Imaginery number calculation in Excel

I could find excel functions for the calculation of imaginery number on web.

Therefore my problem about the calculation was solved.

Those functions of complex, imsum, improduct,imsub,imdiv, imreal and imaginery are so useful.

I do not have to worry about the negative number in root .

Today's English study

I have taken TOEIC test again.

Though I can predict the bad results  due to the previous test, I had already scheduled this test before taking the previous test.

Since the payment for this test have already been finished, I have taken this test.

I should take the next test later than Feb.,2013.

Anyway  I will study English  more seriously than now.

Imaginary number in Excel

I encounter a problem for calculation in Excel.

When I deal with imaginary number in Excel, I do not  know how to deal with imaginary number easily.

I have tried to convert imaginary number to pole coordinate .

Such as r(cosα+isinα),I can deal with it in Excel.

But it is very complicated.

I would like to know a better way to calculate imaginary in Excel.

The Adventures of Sherlock Holmes

I read  the  classic novel "  The Adventures of Sherlock Holmes" on the return way to my home .

I bought it from Amazon.com via E-book reader called "amazon Kindle" .

In the past , I was not interested in E-book because I thought that the view was not so good.

But now I think that E-ink seems to be  same as real book .

Free classic books are  supplied to everyone by Gutenberg Project .

Gutenberg invented typography .

English Study

I have taken TOEIC test .

Then I am deeply disappointed at the slowest  improvement of my performance for English communication  .

I have clearly found out the reason.

I should spend much longer  time to study English !

By the way I am a little bit surprised that so many people take the TOEIC test .

A tip for pronouncing "V" .

I take  an English lesson once a week .

Tonight I took the lesson.

Then I could get a tip for pronouncing "V" sound .

I would like to note it not to forget .

"V" sound can be made by using voice box .

Using voice box means that vibrating own's vocal cords .

I learned that the sound is called "voiced".

Conversely, the sound without vibrating own's vocal cords is called "unvoiced".

 For example , " V "and "Z" sounds are the voiced sounds .

Such as "v" of "vale" , "z" of "zip " .

"F"and "S" sounds are the unvoiced sounds.


Such as "f" of "fail" , "s" of "sip " .

Open University of Japan

I have been watching TV lectures  which have been broadcast by the open university of Japan.

These TV lectures  are very interesting .  And free of charge.

The lectures include several subject such as English , Mathematics , Physics, Universe and so on.

Every weekend  I always  prepare to record the TV programs of next week into HDD recorder.

And next week end I watched the TV lectured recorded on  HDD recorder .

Library

Today I went to the library in the rain.

I wanted to read a book about trigonometric functions .

However I could not find the book to match my requirement.

Therefore I read the book for learning English.

The contents of  the book is interesting.

I have confirmed that there is no shortcut to language learning .

I have to study English for longer time to improve my ability .

trigonometric functions :三角関数