Anong pinakamahirap na problem sa math ang na-solve ninyo?

[???]

sabi meron tayong black hole sa malapit sa buwan.

[gorex]

second tanong. during world war 2. ang mga germans ay may rocket na V2. anong ginamit nila na instrument para mag guide sa rocket nila papunta sa lugar na gusto nilang target? puwde EE o ECE mag sagot kasi alam naman natin na wala pang wireless remote noon or di pa accurate yung guided rocket o missile. 

[rdpzycho]

analog computers, tapos computed path lang by parabolic flight.

[gorex]

they were using gyroscope in guiding their rocket. but not so accurate. si vernervonbraun rocket sayantist nila. 

[rdpzycho]

yup, gyro plus analog computer. post war na nagkaroon ng wireless controls.

[sirjon]

Kapag sinabi mo bang "infinity"  it refers to one value of 'infinity'lang? I don't think so...

Why? Think of this:

Example:                    3/0 =  infinity                 4/0 = infinity                10/0 = infinity

Does it means 3/0 = 4/0 = 10/0 = ()-()  (sorry, can't post the 'infinity sign' here, pwede na siguro ()-()...)

Sige, let's assume na me 3 pieces of papers tayo (consider it super thin na thickness is ideally zero).

One paper measures 3mx3m, the other 4mx4m and the last, 10mx10m.

Hatiin natin each by twos, so what we have are: a set of papers, 2 pieces each of:

3mX 1.5m, 4mx2m, 10xmx5m.

Kapag idinuktong natin, each sets of papers, we have are:
 6mx1.5m    8mx2m    20mx5 

Let's say, we continue cutting into halves yung paper na yung lenght nito eh become zero na (assuming that w=0, we're left arguing of considering the functions of lenght and height, where L (lenght) tends to become zero while h (height) becomes infinite.

But my question is, alin ang mas greater ang 'times' na hahatiin natin. Di kaya iba yung pagiging infinity ng 3/0 sa 4/0 at sa 10/0?

[zrehtiek/keitherz]

Cross multiply lang.

3/infinity = 0; 4/infinity = 0; 10/infinity = 0;
Kaya naging 3/0 =infinity; 4/0 = infinity; 10/0 = infinity;
Parang 1/2 = 0.5; 1/0.5 = 2;

Kaya naman naging infinity kasi for example, 1/infinity = 0, kung halimbawa may isang buong pizza ka tapos hahatiin mo sa napakaraming piraso halimbawa 1000000, diba magiging 0.000001. Kung 1000000000000, 0.000000000001. So the limit of 1/x as x approaches infinity is 0 kasi negligible na yung value.

Yun lang ang alam ko.

[_basura_man()]

galing mo keith imba ka talaga!wag din kalimutan yung indeterminate dagdag ko lang:


 0^0, 0/0, 1^∞, ∞ − ∞, ∞/∞, 0 × ∞, and ∞^0

wag na kayong makiargue sa mathematicians wala pa tayo sa mundo proven na yan ok?

[kmb36td]

Pinaka mahirap na math problem ba?

when I was a very young boy....1+1=??? was very hard hehehehe

[chanrules25]

Laplace.. 

[NORTH LUZON]

noong nasagot ko ung 20 divided by 9 equals 11
sakit sa ulo pero tama pala

[sirjon]

Cross multiply lang.

3/infinity = 0; 4/infinity = 0; 10/infinity = 0;
Kaya naging 3/0 =infinity; 4/0 = infinity; 10/0 = infinity;
Parang 1/2 = 0.5; 1/0.5 = 2;

Kaya naman naging infinity kasi for example, 1/infinity = 0, kung halimbawa may isang buong pizza ka tapos hahatiin mo sa napakaraming piraso halimbawa 1000000, diba magiging 0.000001. Kung 1000000000000, 0.000000000001. So the limit of 1/x as x approaches infinity is 0 kasi negligible na yung value.

Yun lang ang alam ko.

I know it well, pero ang tanong ko, alin sa tatlo ang mas matagal ( o pinakamadami) mong idi-divide. I'm sure  it will be 10/0 but dahil 'it seems infinite', there's no way we can 'define' 10/ 0 or any number divided by zero - N/0, we are bound to this 'limitation' of math itself. I prefer other textbooks that call it "UNDEFINED" rather than infinite or infinity.

[zrehtiek/keitherz]

...
But my question is, alin ang mas greater ang 'times' na hahatiin natin. Di kaya iba yung pagiging infinity ng 3/0 sa 4/0 at sa 10/0?
...

10/x will CONVERGE the SLOWEST and 3/x will CONVERGE the FASTEST among the three choices as x approaches 0.
Therefore, the answer to your question is 10/0.
But they will all become larger and larger and larger as x gets closer and closer and closer to 0, so large that it becomes useless to know the EXACT value and just use infinity to represent the value.

[zrehtiek/keitherz]

...
10/x will CONVERGE the SLOWEST and 3/x will CONVERGE the FASTEST among the three choices as x approaches 0.
Therefore, the answer to your question is 10/0.
...

Sorry, here's the edit:

10/x will CONVERGE the FASTEST towards INFINITY and 3/x will CONVERGE the SLOWEST towards INFINITY among the three choices as x approaches 0.
But in your question is not dividing 3, 4, or 10 by 0 but rather by INFINITY! Because you are actually waiting for the length to become 0(ZERO).

And:
10/x will CONVERGE the SLOWEST towards INFINITY and 3/x will CONVERGE the FASTEST towards INFINITY among the three choices as x approaches INFINITY.
Therefore, the answer to the question is: 10/infinity.

[toasted siopao]

I know it well, pero ang tanong ko, alin sa tatlo ang mas matagal ( o pinakamadami) mong idi-divide. I'm sure  it will be 10/0 but dahil 'it seems infinite', there's no way we can 'define' 10/ 0 or any number divided by zero - N/0, we are bound to this 'limitation' of math itself. I prefer other textbooks that call it "UNDEFINED" rather than infinite or infinity.

zero is the smallest number you can ever imagine... hindi empty ang zero.. sa elementary ang N/0 = undefined..

[toasted siopao]

maniniwala ka ba na 0 is not equal to 0 and infinity is not equal to infinity?

[_basura_man()]

@sirjohn
please wag nyong masyadong dibdibin iyang problem nayan proven na yan sa calculus ok?masosolve iyan sa calculus wag nyong iprove iyan using arithmetic

[sirjon]

maniniwala ka ba na 0 is not equal to 0 and infinity is not equal to infinity?

Interesado ko dito, sige, ipaliwanag mo.

[toasted siopao]

magbasa ka, maiintindihan mo yan.. or kuha ka ng masters sa engineering..

[sirjon]

magbasa ka, maiintindihan mo yan.. or kuha ka ng masters sa engineering..

Ah sorry ha? Kasi kala ko kaya mong i-prove it by straight simple words eh. Need ko pa palang mag research on books. Well, di ko na kelangang kultahin utak ko, dudugo lang ilong ko. Forget it.