Recent content by Ling Min Hao

Sorry it should be -23 = 5(-4) - 3 , so in conclusion is, this statement true ?

Is 23 = 5(-4)-3 gives a remainder -3 when divided by 5 ? is this statement true ? some of my colleagues said that remainder cannot be negative numbers as definition but I am doubt that can -3 be a remainder too?

I don't know , but from wikipedia , it says Fibronacci starts from either 0,1 or 1,1 but is 2,3,5,8,13,21... a Fibronacci sequence it remains unknown for me ..

Is the series of numbers 2,3,5,8,13,21 ... a fibronacci sequence ? Because it doesn't start with 1 , but it fulfills the explicit formula .

Both answer is correct since both can be used to find the value of x and y , it's just I don't understand how he get the answer using dio phantine method

The given question required me to solve 7x+4y =100 by using diophantine equation . I get an answer for x = 100 - 4t and y = 200 - 7t . But his given answer is x = 4t and y = 25-7t . I think both of mine and the answer given is correct but I can't figure out how he get another solution

My lecturer gave me a question but he didn't clarify whether the "if" mean "if" or "if and only if ", so, generally , which one is a better answer ?

I think we can make it simple like "For all x in domain D , Q(x) " this statement is false if we can produce one counterexample of x which does not fix in Q(x) right ? But what if all x in domain D is false(meaning that all x does not fix in Q(x) )? Then the statement"For all x in domain D ...

So by what you mean the second one is correct and more precise ?

No , the first one basically mean that if there is some value of x in D causing Q(x) to be false , then the whole statement "for all x in D , Q(x)" is certainly false . So I think the first one is correct . Yet , it is quite confused whether the second one is correct or not since it is not...

"For every x in domain D , Q(x) "is false if Q(x) is false for some x in D . "For every x in domain D , Q(x) "is false if Q(x) is false for all x in D . Which of the following is correct ? Or both are correct ?

No wonder I found it hard for me to read the Hardys book even just for the first few pages .I think I will give D .Burton a try , thanks anyway !

I am currently an undergraduate students at university and i am keen on learning some mathematics that is not taught in school and i have chosen number theory as my main topic . Recently I have picked number theory by Hardy but I found it is quite hard to understand sometimes as I have quite a...

Oh okay thanks for spending your time explaining it to me .

But the result of "A is not an element of A " is shown from A = { A}, can this result be applied to any other case like A = {A,b} since the result of A is not element of A was based on A ={A}