As long as he's willing to continue trying, I'm willing to continue helping.

Ditto!

 

Actually, i have studied lot of thing but i on't remember an doesn't know where to apply.

Hence the importance of rigor! Having attained a skill, retention of same requires that you use it and build upon it such that it becomes 'second nature' (i.e. intuitive) --- As an example, consider how readily implementation of the quadratic formula 'came back to you' in solution of the last problem ---- Figuratively speaking -- maintenance of prowess is the converse of that of resources - to wit: tenure demands ongoing application!!!

Best regards
HP

 

Hence the importance of rigor! Having attained a skill, retention of same requires that you use it and build upon it such that it becomes 'second nature' (i.e. intuitive) --- As an example, consider how readily implementation of the quadratic formula 'came back to you' in solution of the last problem ---- Figuratively speaking -- maintenance of prowess is the converse of that of resources - to wit: tenure demands ongoing application!!!

Best regards
HP

Don't worry RRITESH, none of the rest of us followed that, either.

 

Don't worry RRITESH, none of the rest of us followed that, either.

Let's try again:

Practice makes perfect --- Succinct enough for ya!?

 

Let's try again:

Practice makes perfect --- Succinct enough for ya!?

As Grig would say, "THAT'S the SPIRIT!!!"

 

Please show us how to ride!

While I hesitate to speak for others, I believe @Aleph(0) was expressing her (oft demonstrated) preference of analysis to pure algebra --- Seems a generational thing - expediency over elegance - Sad days!

Hey @Aleph(0)? -- If I 'have you all wrong' - I've an open mind!

Best regards
HP

HP You're doing the overthinking! I say Electrician is making ribald joke cuz of my unfortunate choice of word Welcome to middle school

 

Not at all! --- now having been alerted to same, I promise to address the problem!


Thanks for bringing this to my attention! Speaking for myself - such owes to 'transient lapses of cognizance' that our discussions are public (explanation -- not excuse!) -- The public are both welcome and encouraged to read and contribute to the thread! -- From now onward I shall endeavor to expand all discipline-specific abbreviations at least once per the discussion{s} in which they are used... Moreover, I will request that @Aleph(0) does likewise --- Please don't hesitate to offer feedback as you see fit! -- Such is greatly appreciated!

With utmost sincerity
HP

It's all good by me!

 

While I hesitate to speak for others, I believe @Aleph(0) was expressing her (oft demonstrated) preference of analysis to pure algebra --- Seems a generational thing - expediency over elegance - Sad days!

Hey @Aleph(0)? -- If I 'have you all wrong' - I've an open mind!

Best regards
HP

Here's a solution via analysis. Whether it's easier or not is up to each person's abilities.

 

I respectfully disagree -- I feel he has shown and is continuing to show both genuine effort and progress! -- Moreover, I draw your attention to the fact that the exercises are now provided by us (i.e. @WBahn and myself) hence, IMO, his continued interest has demonstrated his 'honorable intentions' as it were...

Very best regards
HP

He may be showing some effort in this thread, but 1) After walking him through so many examples, don't you find it strange that he can't work on a single question on his own without asking you to walk him through it as well? And 2) Have you seen any of his other threads here? They still scream laziness and ignorance, even the most recent ones.

 

He may be showing some effort in this thread, but 1) After walking him through so many examples, don't you find it strange that he can't work on a single question on his own without asking you to walk him through it as well? And 2) Have you seen any of his other threads here? They still scream laziness and ignorance, even the most recent ones.

That's my assessment, as well: I see no significant progress here. None. No initiative, no learning, no building up of knowledge or ability, just an absurdly extravagant amount of handholding while taking teeny, tiny little baby steps to cover mathematical concepts that most people learn when they're 14-15 years old. And none of it appears to be sinking in.

 

Here's a solution via analysis. Whether it's easier or not is up to each person's abilities.

View attachment 96522

Electrician now I see you were just challenging me to show my way is easier and not making nasty joke after all so I am sorry for saying that!
In this problem the algebra approach turns out easiest but analysis is perfect because path to solution is clear all the time every time I know how HP says about elegance cuz to her math is like a religion but to me it is just a means to an end

 

After walking him through so many examples, don't you find it strange that he can't work on a single question on his own without asking you to walk him through it as well?

For all that - I feel he is -- ever so gradually -- improving Moreover, the described behaviour is (IMHO) more likely issue of bad habits or a 'learning disability' than insincerity -- Again, I'm no instructor -- however I am aware of two students whom, presenting much as the TS, literally went from Special Education to 'prodigy status' (i.e. advanced placement/early entrance, etc...) following clearance of their respective 'blocks' via a bit of 'stern' but gentle 'TLC' (Granting that I tend to err on the side of 'gentle')

Have you seen any of his other threads here?

Not to such an extent as to draw an informed conclusion...

They still scream laziness and ignorance, even the most recent ones.

Granting that -- I'm bound to say overcoming bad habits (e.g. laziness) and, especially, reversal of ignorance is what education is all about!? --- I insist upon one quality only - To wit: sincerity -- So far he given me no cause for doubt on that 'front'...

while taking teeny, tiny little baby steps to cover mathematical concepts that most people learn when they're 14-15 years old.

I think he knows more than he thinks he does -- For instance, did you notice how quickly he 'picked up on' application of the 'quadratic equation'?

IMHO he has both potential and a genuine desire to learn -- Focus issues often present as motivation deficit - moreover there is 'the language barrier' and we have no idea what asperities and burdens attend his personal life ... For my part I will extend him the benefit of the doubt so long as sincerity is in evidence...

Again, I am neither an instructor nor a psychologist! -- Events may 'show me up' as a naive, over optimistic, fool in this regard --- Only time will tell

With utmost respect all around...
HP

 

Electrician now I see you were just challenging me to show my way is easier and not making nasty joke after all so I am sorry for saying that!

Let that be a lesson, @Aleph(0) !!! --- The active kernel of these fora is comprised educated adults with better things to do than 'trouble' you with double entendre! --- Jeeeez!


Re: Mathematics

but to me it is just a means to an end

For a woman of your intellect that is truly sad -- Perhaps you'll outgrow it!

All the best
HP

 

Electrician now I see you were just challenging me to show my way is easier and not making nasty joke after all so I am sorry for saying that!

Not a problem. I was hoping you might have a really tricky, simple method.

 

Not a problem. I was hoping you might have a really tricky, simple method.

Puh-lease don't tempt her! -- She'll hijack the thread and run it to 10,000 posts extolling the virtues of her 'craft' ---- Sorry Aleph! -- But facts is facts!

Best regards
HP

 

Hey @RRITESH KAKKAR --- Are you ready to tackle @WBahn 's exercise (Reprinted below)???

Here it is:

The equivalent resistance, Req, of two resistors R1 and R2, placed in parallel is given by

\(
R_{eq} \: = \: \frac{R_1 \cdot R_2}{R_1 \: + \: R_2}
\)

Show that, if R1 ≤ R2, then

Req ≤ R1

and that

(R1)/2 ≤ Req ≤ (R2)/2

NOTE: I added a lower limit to the last one.

This is a very useful result as it allows you to place bounds on the equivalent resistance of parallel resistors (or inductors, or series capacitors) by inspection. And we've seen how useful bounds can be.

 

Here it is:

The equivalent resistance, Req, of two resistors R1 and R2, placed in parallel is given by

\(
R_{eq} \: = \: \frac{R_1 \cdot R_2}{R_1 \: + \: R_2}
\)

Show that, if R1 ≤ R2, then

Req ≤ R1

and that

(R1)/2 ≤ Req ≤ (R2)/2

NOTE: I added a lower limit to the last one.

This is a very useful result as it allows you to place bounds on the equivalent resistance of parallel resistors (or instructor, or series capacitors) by inspection. And we've seen how useful bounds can be.

first i want a answer from you, what is the importance of study or research?
I mean what will have if i will become fully trained engineer or anything else?

 

first i want a answer from you, what is the importance of study or research?
I mean what will have if i will become fully trained engineer or anything else?

Indeed mathematics is essential to engineering! -- Moreover the discipline garnered via the process of education and the perspectives and mental/emotional sophistication accrued thereby will leave you well prepared for whatever 'life' offers or 'visits upon' you! -- Beyond that, I feel mathematics is more than a mere academic subject -- but, rather, a mode of understanding - a link to essential, universal, truth, if you will -- but that 'last part' is merely reflective of my sentiments -- Objectively - knowledge is power ergo attainment and judicious application of same enhances freedom in all aspects of experience

Best regards
HP

 

Is study directly proportional to earning or money?

 

Previous study and research has made my life and millions of others, longer, healthier and much more comfortable.

The reason I study is so I don't have anyone else to do my thinking for me.

Study always helps other study.

And with a good knowledge base, when a new problem comes up, your chances of independent solution increases.