Math Is Fun Forum

mathland wrote:

ganesh wrote:

I was born in a religion which respects all religions.

I am happy to tell I respect all religions.

You are a smart person. Respect all religions as long as there is no violence connected to faith.

That is the bottom line.

mathland wrote:

ganesh wrote:

Acceptance is paramount. We are all humans.

We are all human. I don't have all the answers.

Understandable!

mathland wrote:

I have decided to reduce the number of threads per day. This will allow me to spend more quality time per reply. I am about to step into the scary related rates section. I will spend a lot of time in this section as it is crucial for me to learn how to solve these applications of the derivative. 

I also will post more questions that have several parts. This alone will reduce the number of threads. Keep in mind that I don't have a computer or a laptop. All my questions are copied and pasted but the math work shown is typed via cell phone only. This takes forever to do.

Good decision!

mathland wrote:

ganesh wrote:

Selfishness : the quality or state of being selfish : a concern for one's own welfare or advantage at the expense of or in disregard of others : excessive interest in oneself.

Lead a Double life : to not tell the whole truth about one's life.

Okay, but I just said 'There have been times I have been a bit selfish (very few occasions, and more often, unknowingly), but it is past now. I tried to be a good man, a good member of the society.

I feel a person ought to become better, as there is no point in brooding at a later date.'

Every sensible person knows that all are selfish, to varied degrees. It may by 0.01%, or it may be 99.99%.

It is just like 'no one is perfect'. Perfection may be 99.99% or 0.01%. Can you think of perfection at all times? We are all humans.

Only God is perfect and He does not boast about His perfect being.

Example of a double life is, for example, telling your friends and family that you are a Christian but secretly living a carnal lifestyle.

Acceptance is paramount. We are all humans.

Hi mathland,

I was messing around with the 'Image of BBCode page' and changed the url, not realising that it would disable the link in your last post.

So if you particularly want to see the image version of that page, you'll now have to click on the link in my post instead of yours.

Sorry 'bout that, but I can't undo what I've done!

I feel like most people are good people morally but it is hard to start a conversation to someone you dont know.

mathland wrote:

ganesh wrote:

I cannot tell about others, but for me, my religion has made me a complete person. The ups and downs, happy and sad, I tried to be in equanimity.

What is your faith? What is your religion?

I was born in a religion which respects all religions.

I am happy to tell I respect all religions.

hi Jordan123

Welcome to the forum.

I think you're wondering why

Power notation was invented as a shortcut for repeated multiplication

From this we have the three laws for powers:

For all of this it is assumed that m and n are positive integers and they're easy to prove.

But mathematicians don't like limitations like this (the positive integer bit) if it can be avoided. So they have sought to extend the definition whilst maintaining the three laws.

So let's start with "What could a zero power mean?"

From law 2, if m = n we have

But a^m over a^m must be 1, so let's define a^0 to be 1 for all values of a.

Now for a fraction like 1/2

From law 1

So a to the power 1/2 behaves exactly like the square root of a, so let's define it to be that.

There's loads more of this sort of thing, all created definitions based on the three laws.  It leads to a whole area of maths that is consistent and useful so it has kind of stuck, And why not?

Bob

You can use that formula but it is also possible to do it from the equation as given.

Bob

Yes.  Go ahead.

Bob

phrontister wrote:

You can also click on 'Quote' in the bottom right-hand corner of someone's post to help learn how they did this or that.

More stuff:

If you're logged in, you'll have a 'BBCode' button near the bottom-left corner of the screen. Click on it to open a page with codes for:
- Text Styles
- Links and images
- Quotes
- Code
- Lists
- Smilies

A small 'Nested tags' section shows how to use codes within codes (eg, to display an image hidden by 'hide' tags...as I've done below).

Here is a link to that page: BBCode

And if you click on 'Quote' in the bottom right-hand corner of my post you'll get a good idea about how I did what I did.