See also, my Online SR 4-Vector & Tensor Mathematics Calculator SR 4-Vector & Tensor Mathematics Calculator

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Quantum Mechanics is derivable from Special Relativity
See SRQM - QM from SR - Simple RoadMap (.html)
See SRQM - QM from SR - Simple RoadMap (.pdf)
See SRQM - Online SR 4-Vector & Tensor Calculator
***Learn, Discover, Explore***
Site last modified: 2018-Apr-17 |

Logic Calculator:

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Complex Linear System Equation Solver: - you can use complex coefficients in form of (re,im)

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Polynomial Root Solver: Lin-Bairstow method

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Complex Polynomial Root Solver: - you can use complex coefficients in form of (re,im)

uses Modified Durand-Kerner-Weierstrass Method (iterated)

if you are expecting integer results, try hitting the solve button several times to reset the initial guesses

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To use Scientific Calculator RPN (Reverse Polish Notation) button operators
(Complex operation capable): For unary operations (1 number req.), type the number into the input box and then click the function. For binary operations (2 numbers req.) type the 1st number, click the [Enter] button, type the 2nd number, and then click the function. For short-cut RPN operations (like HP calculator logic), you can use operators directly on the stack as well. Unary operations replace the last stack value with its new value Binary operations replace the last two stack values with its new value Just play with the buttons, the log window will let you see how it works -- its pretty easy once you get the hang of it... To use built-in javascript DAL (Dynamic/Direct Algebraic Logic) operations (Real operations only): Write your numeric equation/formula directly into the input box and then press [Enter] (you don't have to write the JS 'Math.' in front of the functions, but you can only use and receive real numbers): ex. 2+5/3-abs(-8)*cos(PI) you must input angles in radians when using this mode Note: you must have the [kbd] checkbox OFF to use DAL To input numbers, there are several options, all of which are effective: (1) mouse-click on the virtual number pad above (2) use copy-paste/select-drag from the log window to the input box (3) just type in the numbers on your computer keyboard (4) turn on the [kbd] checkbox to make the actual keyboard activate the (+,-,*,/,=,c) virtual keys in RPN mode Input types: real 255 or PI or -234.2235 or etc. complex pair (0,3) or (2,3) or (-2,3) etc. complex add 0 +i 3 or 2 +i 3 or -2 +i 3 etc. imaginary 3i or 2+3i or -2+3i or 2+3I etc. complex polar 3 /_ 90 or 3 /_ 1.5708 (set the angle mode 1st) num-to-base FF_b16 or 1001010_b2 list of complex {2;(3,4.5);4.46;(5,3);3;4;(5.23,-4.84);2} Javascript numbers: octal integer ±0### 0345 -> 229 decimal -0345 -> -229 decimal hexadecimal integer ±0x### 0x345 -> 837 decimal -0x345 -> -837 decimal To page through the available functions: Keep clicking the [Fncs] key Warning: Apparently, javascript only uses about 16 digits of precision, so take results of huge numbers with a grain of salt... |

To use Javascript Math functions in input field: | === | To use Javascript operators in input field (listed in precedence order): | ||

Math.abs(x) | Absolute value of x | ( , ) |
Parentheses for grouping | |

Math.acos(x) | Arc cosine of x | ~ |
Bitwise complement | |

Math.asin(x) | Arc sine of x | ! |
Logical complement | |

Math.atan(x) | Arc tangent of x | typeof |
Return data type | |

Math.atan2(y,x) | Argument from +x axis | * , / , % |
Multiply , Divide , Remainder | |

Math.ceil(x) | Ceiling of x | + , - |
Add , Subtract | |

Math.cos(x) | Cosine of x | + |
Concatenate strings | |

Math.exp(x) | Natural exponent of x | << |
Integer shift left | |

Math.floor(x) | Floor of x | >> |
Integer shift right, sign extension | |

Math.log(x) | Natural logarithm of x | >>> |
Integer shift right, zero extension | |

Math.max(args...) | Max of list of values | < , <= |
Less than , Less than or equal | |

Math.min(args...) | Min of list of values | > , >= |
Greater than, Greater than or equal | |

Math.pow(x,y) | x to the y power | == |
Test for equality | |

Math.random() | Random number (0..1) | != |
Test for inequaltiy | |

Math.round(x) | Round of x | === |
Test for identity | |

Math.sin(x) | Sine of x | !== |
Test for identity | |

Math.sqrt(x) | Square root of x | & |
Integer bitwise AND | |

Math.tan(x) | Tangent of x | ^ |
Integer bitwise XOR | |

| |
Integer bitwise OR | |||

Math.E | Natural exponent E | && |
Logical AND | |

Math.LN10 | Natural logarithm of 10 | || |
Logical OR | |

Math.LN2 | Natural logarithm of 2 | ?: | Conditional operator "condition"?"if true":"if false" | |

Math.LOG10E | Base-10 log of E | |||

Math.LOG2E | Base-2 log of E | |||

Math.PI | Circle constant PI | |||

Math.SQRT1_2 | Square root of 1/2 | |||

Math.SQRT2 | Square root of 2 |

Note: if anyone notices a bug in the calculator, please report it so that I can fix it

And, just an interesting bit of math trivia:

Addition is repeated incrementing ( c = a+b ); the 2 inverses are subtraction. ( a = c-b ) & ( b = c-a )

Multiplication is repeated addition ( c = a*b ); the 2 inverses are division. ( a = c/b ) & ( b = c/a )

Exponentiation is repeated multiplication ( c = a^b); it has 2 different inverses: the root ( a = Root

Isn't this branching pretty cool, considering that mathematics has a tree-like structure? :-)

Contest: Who can tell me what is special about 0.20787957635076193?

Hint: it can be derived using a single simple "unit" number and one single operation from above.

If you have a comment about this site, or find a bug, or want more features added, or just want to say 'hi'

Please, send comments to John Wilson

relativity

See SRQM: QM from SR - The 4-Vector RoadMap (.html)

See SRQM: QM from SR - The 4-Vector RoadMap (.pdf)

SRQM 4-Vector : Four-Vector and Lorentz Scalar Diagram

SRQM + EM 4-Vector : Four-Vector and Lorentz Scalar Diagram

SRQM + EM 4-Vector : Four-Vector and Lorentz Scalar Diagram With Tensor Invariants

SRQM 4-Vector : Four-Vector Stress-Energy & Projection Tensors Diagram

SRQM 4-Vector : Four-Vector SR Quantum RoadMap

SRQM + EM 4-Vector : Four-Vector SR Quantum RoadMap

SRQM 4-Vector : Four-Vector New Relativistic Quantum Paradigm

SRQM + EM 4-Vector : Four-Vector New Relativistic Quantum Paradigm (with EM)

SRQM 4-Vector : Four-Vector New Relativistic Quantum Paradigm - Venn Diagram

SRQM 4-Vector : Four-Vector SpaceTime is 4D

SRQM 4-Vector : Four-Vector SpaceTime Orthogonality

SRQM 4-Vector : Four-Vector 4-Position, 4-Velocity, 4-Acceleration Diagram

SRQM 4-Vector : Four-Vector 4-Displacement, 4-Velocity, Relativity of Simultaneity Diagram

SRQM 4-Vector : Four-Vector 4-Velocity, 4-Gradient, Time Dilation Diagram

SRQM 4-Vector : Four-Vector 4-Vector, 4-Velocity, 4-Momentum, E=mc^2 Diagram

SRQM 4-Vector : Four-Vector 4-Velocity, 4-WaveVector, Relativistic Doppler Effect Diagram

SRQM 4-Vector : Four-Vector Wave-Particle Diagram

SRQM 4-Vector : Four-Vector Compton Effect Diagram

SRQM 4-Vector : Four-Vector Aharonov-Bohm Effect Diagram

SRQM 4-Vector : Four-Vector Josephson Junction Effect Diagram

SRQM 4-Vector : Four-Vector Hamilton-Jacobi vs Action, Josephson vs Aharonov-Bohm Diagram

SRQM 4-Vector : Four-Vector Motion of Lorentz Scalar Invariants

SRQM 4-Vector : Four-Vector Motion of Lorentz Scalar Invariants, Conservation Laws & Continuity Equations

SRQM 4-Vector : Four-Vector Speed of Light (c)

SRQM 4-Vector : Four-Vector Minimal Coupling Conservation of 4-TotalMomentum)

SRQM 4-Vector : Four-Vector Relativistic Action (S) Diagram

SRQM 4-Vector : Four-Vector Relativistic Lagrangian Hamiltonian Diagram

SRQM 4-Vector : Four-Vector Relativistic Euler-Lagrange Equation

SRQM 4-Vector : Four-Vector Relativistic EM Equations of Motion

SRQM 4-Vector : Four-Vector Einstein-de Broglie Relation hbar

SRQM 4-Vector : Four-Vector Quantum Canonical Commutation Relation

SRQM 4-Vector : Four-Vector QM Schroedinger Relation

SRQM 4-Vector : Four-Vector Quantum Probability

SRQM 4-Vector : Four-Vector CPT Theorem

SRQM 4-Vector : Four-Vector Lorentz Transforms Connection Map

SRQM 4-Vector : Four-Vector Lorentz Discrete Transforms

SRQM 4-Vector : Four-Vector Lorentz Transforms - Trace Identification

SRQM 4-Vector : Four-Vector Lorentz Lorentz Transforms-Interpretations

CPT Symmetry, Baryon Asymmetry Problem Solution, Matter-Antimatter Symmetry Solution, Arrow-of-Time Problem Solution, Big-Bang!

See SRQM: QM from SR - The 4-Vector RoadMap (.html)

See SRQM: QM from SR - The 4-Vector RoadMap (.pdf)