Commander

I believe there can be many Parabolas and Ellipses which may fulfill the condition of being tangential at [X0, Y0] and [X1, Y1] in the given triangle with [X2, Y2] as its apex. ................. I have a power cut and will continue later >>>>>>>>>>>>>>> PS : After thinking over this problem for a while I wanted to give my views here and started writing the above. Only then I saw the preceding posts and found that it appears to be settled / solved and taken care of my points too. Therefore I have nothing more to give here just now

No

Yes, certainly just like APPLES are MORE APPLER THAN ORANGES and ORANGES are more ORANGER THAN APPLES !

Unless one goes around the ORIGIN of the River one can not traverse through all the Bidges to solve the 7 Bridge Puzzle ! For the modified 10 Bridge Puzzle there are many Solutions !!

OK TY

Hey, It's really wonderful ! Well done !!

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Well I solved just arithmetically with all possibilities taken care of such as : A can not be anything but 2 and therefore E has to be only 8 as given below. A can not be 1, 3 , 5 ,7 or 9 which is trivial as no product of 4xE will end with those digits. A can not be 0 because if it is so the result can not be in 5 digits. Also as per clue no leading zero. A can not be more than 2 in which case the result will exceed 5 digits. So A is 2 ! For A being 2 E has to be either 3 or 8 with 4XE either 12 or 32 Also as 4A should not exceed 9 [if so it goes into 6 digits] and as 4A is only 8 as we decided A = 2 already E can be only 8 or with Carry from 4xC can be 9. So, E is either 8 or 9 but if E = 9 4xE can not end with 2 and therefore with logic from either end E = 8 Thereafter I enumerate the possibilities of B, D as well as C and checked that apart from 21978 x 4 = 87912 I don't see any other set fulfilling the results !! Yes, the correct reasoning !

Each guy paid 9 Dollars ! A total of 27 $ . 25$ out of this is with the Hotel Owner and 2$ pocketed by the Waiter !! What is missing ? Take care whether you should add or subtract 2$ 3x9 -2 = 25 !

To start with I need support to carry out this exercise : Or someone else can get it done. Have a set of Gear wheels connected in sequence at 1:100 teeth ratio or 1 : 10 That is if the gear turns one circle the next connected gear wheel turns 100 times [make it 10 if needed] Connect these Gear Wheels say 10 in number and use Reliable design and Engineering etc [i can give the graphical diagram if needed but it can be easily imagined here] The point is as we add wheels in tandem one of the latest added wheel will start revolving at such a speed that its peripheral edge will attain the Speed of light or exceed it. Something may give way somewhere if THERE IS ANY IMPOSSIBILITY I would like to see what happens and what fails etc in order to develop further on this observation. Let us use the best Material Science and Fibre Composite etc for the LIGHTEST and STRONGEST of the Wheels and Arrangement in this Exercise ! For those who claim to have isolated even each and every Particle this should an easy task !!

Yes, thank you. I once again solved it trying all possibilities and found that the Solution found by Studiot is the only Solution and unique. I also agree with you that the multiplier needs to be only 4 and nothing else PS : In fact I have not yet verified it for 2 or 3 in place of 4 But 5,6,7 or 8 might be eliminated as if the multiplier is any of them A needs to be only 1 which straight away eliminates 5 , 6 and 8 but 7 needs to be investigated.

Continuing with our Puzzle Series .............. This is a Brain Storming Exercise ! CAN YOU SOLVE : ABC x DE = FGHIJ and find a Solution to this equation with each alphabet standing for an unique decimal digit and none equal to one another ! To explain further ... [spaces added for clarity] A B C multiplied by D E = F G H I J or A B C x D E = F G H I J where A B C is a 3 digit number D E is a 2 digit number F G H I J is a 5 digit number Each Alphabet A , B , C , D , E , F , G , H , I , J represents one of [ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 ] and each Alphabet represents a different digit with no duplication.

If we accept it was a Big Bang which started the Universe / Space what was outside that LARGE BLACK HOLE and what do you call that Space which was later on occupied by matter spewed out of the BIG BANG ? I call it UNLIMITED EMPTINESS !

Yes, we need to constantly question each and everything and not lose grip over REALITY and slip into a FICTIONAL and IMAGINARY understanding of IMAGINARY dimensions and get confused between INSIDE and OUTSIDE. Can you tell me what the OBSERVER will perceive if he is within the confines of an Atom or an Orange or House[with A/C on] or at the Core of Earth or Sun or a Blackhole [many are impossible for the Human observer] I will give a Model which will satisfy ALL THESE CONDITIONS ! Just look at the Basic Points ! Why should there be any LIMIT to SPACE / EMPTINESS !! I challenge anyone to give me a satisfactory answer !!!

Oh yes, well done - Congratulations Studiot ! It was indeed Bright !! Hi, yes Thank you for the info. Studio has solved it quite quickly and the Solution may be unique !

Well, thank you. Every new idea will look very silly when it is proposed. I will put up my reply in detail to the counter points asap For example I want you to tell me where is the "Egg Shaped" lodged and what is beyond its shell etc. I don't claim that I am fully aware of each and every Theories but still I do have a short-life span and must do my bit. That Demand is not intended to be provocative but to highlight my dissatisfaction on the existing Beliefs while at the same time admitting my inadequacy at this point TO PROVE IT ALL MYSELF !

Hi, Thanks. To be fair to all who are trying hard to get the solution, I must hold on for a while before putting up the Solution. Yes, as I said this is a straight forward puzzle with a clear answer !

These are MY PROPOSALS and LAWS OF COSMOS : Walker's Laws of COSMOS and UNIVERSE >>>>> Law 1 : There is NO LIMIT to EMPTY SPACE ! Explanation : Limit of Space/Emptiness : It is alright to seek a limit on matter/substance but why seek a limit on emptiness or nothingness. So space [in terms of Euclidean dimensions] has to be unlimited. Let us take a straight line going to infinity in both the directions. Nothing can end this process [as if something ends it what is beyond it which has to be something else which too will get termed as space] and if what is told as space-warping and bending of space takes place to result in an egg-shell shaped universe, even then what is beyond this egg in the stated theoretical direction which does not care for the enormous reputation of Einstein ? Therefore there can be no limit to Space. Analogously as we know there is and there could be no limit to Time too. It is endless too. Therefore Universe is endless [even if whether Big-bang theory is true or not and there is a limit to the amount of matter within the confines of our known universe] and if our universe does have an egg-shaped limit there could be many more similar Universes beyond [beyond gravity of known matter] and therefore there will be many more Universes to fill up the remaining empty spaces. PROOF : Prove me WRONG or Otherwise and Contradict what I have stated - LOGICALLY ! Law 2 : No one can KNOW or MEASURE what is the Inherent Speed of ANY PARTICLE on this Universe [say within myself] and HURTLING THROUGH SPACE and its RELATIVE VELOCITY with respect to any other Object/Point ! Explanation : There is no fixed or Reference frame in Space and any such Reference Point too is hurtling across Space in an unknown Velocity and therefore it proves the Law proposed. Law 3 : Energy is only an alternate form of matter / substance and therefore LIGHT emanating from any Source and travelling through any media can not be totally independent of its surrounding or rest of the Space and exhibit INDEPENDENT CHARACTERISTICS ! Explanation : What is meant is Light after emanating from a source is stated to travel at a constant unchanging Speed [except effect of medium] unfettered by any other Force. Also it is said the SPEED OF LIGHT can not be exceeded. But in case some object moves at 0.75 Speed Of Light and another at 0.75 Speed of Light in the directly opposite direction the Relative Speed between them is 1.5 times the Speed of Light. This combined with Law 2 stated above about reference frame points to the possibility that such definitions about Light and its behaviour [include Particles as well] have not been correctly understood still. Certainly there is no disconnect of Light with Environment / Forces such as Gravity etc.

YES EACH ALPHABET REPRESENTS A UNIQUE/DIFFERENT DIGIT ! None of A,B,C,D,E are equal to one another !! ABCDE

Hi Friends, This is MY OWN PUZZLE [means created by me] as I wanted to create it in the form ABCDE multiplied by X = EDCBA ! Therefore I tried to solve it myself and found the Solution for ABCDE x 4 = EDCBA I have not yet analyzed and found there is any solution for ABCDE x n = EDCBA where n is 2,3, 5 or 6 !! Also, I did find one Solution but did not search for any more Solutions. I need to now look for the notes where I wrote that Solution or Solve it once again myself !!! >>>>>>>>>>>>>>>>>>>>> THERE IS A SOLUTION 100 % and don't lose heart !!!! As a CLUE I can add that THERE IS NO LEADING ZERO in any of the 5 Digit numbers in the Equation. ie. Neither A or E is 0. >>>>>>>>>>>>>>>>>>>> PS : The URL quoted in my post is nothing but my own Personal Website and the same can be accessed from my Profile !

Hi All, Here is an interesting Puzzle ! ADCDE x 4 = EDCBA where A B C D E stands for a decimal symbol each [one of 0,1,2,3,4,5,6,7,8,9] Thus ADCDE and EDCBA are each a 5 digit decimal number Can you find the answer ? ABCDE x 4 ............. EDCBA ............. What is A, B, C, D, E ? ................................................................................................ For a Set of INTERESTING PUZZLES Click on url deleted And Click on ' Interesting Puzzles ' under ' Family Corner ' Good Luck for Solving them !!

Yes, I agree !

Hi, I do appreciate the amount of quick grasp you have shown to read and understand all that info I could post and also pointing out about the same which can be derived from the Zeta Function Expansion. I thank you for the Effort and interaction. But someone else during my Usenet Discussions had already indicated this Zeta Function and therefore it was not a new input. Still I thank you from my heart !

Thank you ophilia and ajb I did not invent NUMBER 1 It was already there I only found this beautiful relationship by my OWN DERIVATION First read my PROOF GIVEN IN MY FILE NOWHERE HAVE I BORROWED ZETA FUNCTION OR ANYTHING ELSE Also read what Jim Loy said in his Email to me.