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  1. J

    Numbers with sum = product

    Thank you.
  2. J

    Numbers with sum = product

    a + b + c = a * b * c where a, b, c are positive integers. I can think of only one solution to this. {1, 2, 3}. Is there any other solution to it? Can you prove or disprove?
  3. J

    I Your biggest mathematical embarassment

    My daughter's third grade classwork.
  4. J

    I Physics and mathematical terms dealing with 1_

    MCXIII (1113 in Roman numerals - that's what a google search on 1113 showed)
  5. J

    I Physics and mathematical terms dealing with 1_

    In most of the operating systems, ? means any one character. So it could be "1?".
  6. J

    Value of Pi calculation

    Ah, ok...got it. Thanks all. The mentioned wikipage also states "While that series is easy to write and calculate, it is not immediately obvious why it yields π.". Does that mean there no proof for the Pi series equation?
  7. J

    Value of Pi calculation

    These are estimations. My question is when they say the value of Pi is accurate to so and so number of digits with respect to the reference value of Pi, how did they come up with the reference value of Pi.
  8. J

    Value of Pi calculation

    When we say we know the value of Pi upto - say 1 billion position accuracy -, how exactly they calculate it? Is it as simple as Circumference / diameter and the whole accuracy of the value of Pi is completely dependent on the accuracy to measure circumference and diameter?
  9. J

    I Mathematical proofs

    It's different from art. In art a computer cannot sort out a good picture from garbage. In case of mathematical theorems proof, a computer can clearly rule out the invalid ones. Using it to derive all the mathematical proofs will be nearly impossible. But for a given specific problem, a computer...
  10. J

    I Mathematical proofs

    If we feed all the existing mathematical axioms to a powerful computer, it should be able to give us all the proofs and theorems that can be derived using the axioms. Is there anything wrong with this logic?
  11. J

    Split a/(b+c)

    Thanks Berkeman and Xitami for your answers. Xitami's equation gives pretty accurate results. Xitami, can you tell how you derived that equation?
  12. J

    Split a/(b+c)

    2^32 / 1M = 4,294.967296 We rounded 4,294.967296... to 4295. So, for higher values of x, the deviation would be high.
  13. J

    Split a/(b+c)

    They have multiply operation for integers. Is it possible to make the approximation independent of x? We can use if-then-else.
  14. J

    Split a/(b+c)

    I need to convert x (ranging between 0 - 1,000,000) to y (ranging between 0 - (2^32)-1). so y = (x * 2^32)/1M => (x << 32)/ 1M We, the software guys have no problem doing it. But the microcode group says they don't have division operation. I was trying to provide a solution by converting (x <<...
  15. J

    Split a/(b+c)

    let's say a/b = a/(b'+c) where b = b'+c. I need to separate the RHS into a/b' + something. What's that something?
  16. J

    Wat is the rule?

    Right. Only in computer language context, this rule is stricter. If the data types are integers, the division could lead to zero, hence the final result would end up in zero.
  17. J

    Wat is the rule?

    Not true. Multiplication and division have same precedence. Addition and subtraction have same precedence. When the precedence are same, the ordering matters. Ordering is from left to right.
  18. J

    Wat is the rule?

    The order is from left to right. Now, that brings me to another question. In Arabic (or any natural language which reads from right to left), do they follow a right to left ordering convention for mathematics? The difference is calculators that uses RPN (Reverse Polish Notation) or not.
  19. J

    Determine if a Sudoku puzzle is easy, medium, hard, or evil

    Can a sudoku generator determine the complexity, without trying to solve it? [EDIT] Probably not. My thinking is as follows. A puzzle may have different paths to reach the unique solution. The less number of paths means it's a harder puzzle. Make any sense?
  20. J

    Determine if a Sudoku puzzle is easy, medium, hard, or evil

    Ah...Thanks uart and MooOfDoom. I should have found it myself :(. I was trying to think of a possible variation of sudoku - 2 people play, start with no initial numbers, each player adds a number alternately: player A tries to solve the puzzle and win, player B aims to prevent player A from...
  21. J

    Determine if a Sudoku puzzle is easy, medium, hard, or evil

    That's the puzzle here. Let's say I created a software program to generate a Sudoku puzzle. Now I need the same software to tell me to tell the difficulty of the puzzle. By valid, I simply mean, there is no initial numbers that contradict itself (same numbers in the same row/column/box). I...
  22. J

    Determine if a Sudoku puzzle is easy, medium, hard, or evil

    To elaborate on the second question, Is there a sudoku puzzle that no solution exists?
  23. J

    Determine if a Sudoku puzzle is easy, medium, hard, or evil

    I can't find a solution to these questions. Can someone help? 1. An algorithm to determine if a Sudoku puzzle is easy, medium, hard, or evil. 2. For every valid Sudoku puzzle, there exist at least one valid solution. True or false? Proof?
  24. J

    360 degree

    Where did the 360 degree for a circle convention come from? By any chance, is it from the ~360 days for the earth to revolve around the sun?
  25. J

    Circumference of a circle

    Did I miss something? If r == PI*R, shouldn't the circumference created by the circle be zero?
  26. J

    Circumference of a circle

    The following i the context I was talking about: From https://www.physicsforums.com/showthread.php?t=311787 post #6, If r == PI*R, the circumference created by the string will be zero.
  27. J

    Circumference of a circle

    What's the circumference of a circle of radius r, on a sphere of radius R?
  28. J

    0.999 = 1

    ... can we convert this equation to binary notation? Also another one, would an irrational number be irrational in any number format?
  29. J

    -ve number_of_times ?

    Is there a proof for complex number to exist? Can I just make a statement the imaginary part of a complex number can have a real part and imaginary' part and goes on infinitely recursively. What makes the maths world to accept the definition of complex numbers to be the current one, and reject...
  30. J

    -ve number_of_times ?

    Thanks for all the answers. Another question: Is there a proof that a number should have an imaginary part, or it is a thin airconcept?
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