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1:Actions
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1:Define
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Define
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2:Recall Definition
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3:Delete Variable
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DelVar
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4:Clear A-Z...
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ClearAZ
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5:Clear History
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6:Insert Comment
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ⓒ
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7:Library
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1:Refresh Libraries
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2:Insert "＼" character
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＼
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3:Create Library Shortcut
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libShortcut()
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4:Define LibPriv
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Define LibPriv
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5:Define LibPub (show in Catalog)
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Define LibPub
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8:Lock
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1:Lock Variable
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Lock
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2:Unlock Variable
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Unlock
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3:Get Lock Info
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getLockInfo()
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2:Number
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1:Convert to Decimal
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▶Decimal
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2:Approximate to Fraction
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▶approxFraction()
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3:Factor
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factor()
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4:Least Common Multiful
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lcm()
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5:Greatest Common Divisor
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gcd()
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6:Remainder
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remain()
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7:Fraction Tools
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1:Proper Fraction
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propFrac()
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2:Get Numerator
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getNum()
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3:Get Denominator
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getDenom()
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4:Common Denominator
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comDenom()
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8:Number Tools
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1:Round
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round() |
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2:Integer Part
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iPart() |
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3:Fractional Part
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fPart() |
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4:Sign
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sign()
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5:Mod
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mod() |
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6:Floor
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floor()
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7:Ceiling
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ceiling() |
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9:Complex Number Tools
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1:Complex Conjugate
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conj() |
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2:Real Part
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real() |
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3:Imaginary Part
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imag() |
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4:Polar Angel
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angle() |
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5:Magnitude
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abs() |
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6:Convert to Polar
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▶Polar |
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7:Convert to Rectangular
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▶Rect
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3:Algebra
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1:Solve
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solve()
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2:Factor
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factor()
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3:Expand
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expand()
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4:Zeros
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zeros()
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5:Complete the Square
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completeSquare()
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6:Numerical Solve
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nSplve()
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7:Solve System of Equations
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1:Solve System of Equations...
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solve()
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2:Solve System of Linear Equations...
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linSolve()
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8:Polyominal Tools
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1:Find Roots of Polynominal...
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polyRoots()
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2:Real Roots of Polynominal
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polyRoots()
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3:Complex Roots of Polynominals
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cPolyRoots()
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4:Remainder of Polynominal
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polyRemainder()
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5:Quotient of Polynominal
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polyQuotient()
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6:Greatest Common Divisor
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polyGcd()
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7:Coefficients of Polynominal
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polyCoeffs()
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8:Degree of Polynominal
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polyDegree()
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9:Fraction Tools
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1:Proper Fraction
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propFrac()
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2:Get Numerator
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getNum()
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3:Get Denominator
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getDenom()
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4:Common Denominator
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comDenom()
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A:Convert Expression
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1:Convert to ln
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▶ln
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2:Convert to logbase
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▶logbase()
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3:Convert to exp
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▶exp
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4:Convert to sin
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▶sin
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5:Convert to cos
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▶cos
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B:Trigonometry
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1:Expand
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tExpand()
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2:Collect
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tCollect()
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C:Complex
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1:Solve
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cSolve()
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2:Factor
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cFactor()
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3:Zeros
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cZeros()
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D:Extract
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1:Left
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left()
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2:Right
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right()
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4:Calculus
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1:Derivative
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d()/d
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2:Derivative at a point...
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d()/d|x=O
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3:Integral
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∫()
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4:Limit
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lim()
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5:Sum
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∑()
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6:Product
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∏()
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7:Function Minimum
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fMin()
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8:Function Maximum
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fMax()
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9:Tangent Line
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tangentLine()
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A:Normal Line
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normalLine()
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B:Arc Length
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arcLen()
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C:Series
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1:Taylor Polynominal
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taylor()
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2:Generalized Series
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taylor()
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3:Dominant Term
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dominantTerm()
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D:Differential Equation Solver
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deSolve()
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E:Implicit Differentiation
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impDif()
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F:Numerical Calculations
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1:Numerical Derivative at a point
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nDerivative()
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2:Central Difference Quotient with Step
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centralDiff()
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3:Numerical Integral
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nInt()
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4:Numerical Function Minimum
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nfMin()
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5:Numerical Function Maximum
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nfMax()
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5:Probability
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1:Factorial(!)
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!
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2:Permutations
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nPr()
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3:Combinations
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nCr()
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4:Random
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1:Number
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rand()
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2:Integer
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randInt()
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3:Binominal
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randBin()
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4:Normal
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randNorm()
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5:Sample
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randSamp()
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6:Seed
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RandSeed
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5:Distributions
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1:Normal Pdf...
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normPdf()
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2:Normal Cdf...
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normCdf()
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3:Inverse Normal...
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invNorm()
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4:t Pdf...
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tPdf()
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5:t Cdf...
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tCdf()
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6:Inverse t...
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invt()
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7:χ² Pdf...
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χ²Pdf()
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8:χ² Cdf...
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χ²Cdf()
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9:Inverse χ²...
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invχ²()
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A:Binominal Pdf...
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binomPdf()
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B:Binominal Cdf...
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binomCdf()
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C:Inverse Binomial...
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invBinom()
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D:Inverse Binomial N...
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invBinomN()
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E:F Pdf...
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FPdf()
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F:F Cdf...
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FCdf()
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G:Inverse F...
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invF()
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H:Geometric Pdf...
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geomPdf()
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I:Geometric Cdf...
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geomCdf()
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| J:Poisson Pdf... |
poissPdf() |
| K:Poisson Cdf... |
poissCdf() |
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6:Statistics
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1:Stat Calculations
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1:One-Variable Statistics...
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OneVar
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2:Two-Variable Statistics...
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TwoVar
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3:Linear Regression (mx+b)...
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LinRegMx
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4:Linear Regression (a+bx)...
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LinRegBx
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5:Median-Median Line...
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MedMed
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6:Quadratic Regression...
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QuadReg
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7:Cubic Regression...
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CubicReg
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8:Quartic Regression...
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QuartReg
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9:Power Regression...
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PowerReg
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A:Exponential Regression...
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ExpReg
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B: Logarithmic Regression...
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LnReg
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C:Sunusoidal Regression...
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SinReg
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D:Logistic Regression...(d=0)
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Logistic
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E:Logistic Regression...(d≠0)
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LogisticD
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F:Multiple Linear Regression...
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MultReg
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G:Correlation Matrix
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corrMat()
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2:Stat Results
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Stat.results
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3:List Math
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1:Munumum
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min()
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2:Maximum
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max()
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3:Mean
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mean()
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4:Median
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median()
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5:Sum of Elements
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sum()
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6:Product of Elements
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product()
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7:Sample Standard Deviation
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stDevSamp()
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8:Sample Variance
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varSamp()
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9:Population Standard Deviation
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stDevPop()
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A:Population Variance
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varPop()
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4:List Operations
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1:Sort Ascending
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SortA
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2:Sort Descending
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SortD
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3:Cumulative Sum List
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cumulativeSum()
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4:Fill
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Fill
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5:Sequence
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Seq()
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6:Difference List
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ΔList()
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7:Augment
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augment()
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8:Convert List to Matrix
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list▶mat()
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9:Convert Matrix to List
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mat▶list()
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A:Left
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left()
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B:Mid
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mid()
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C:Right
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right()
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5:Distribution
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5.Probability와 동일
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6:Confidence Intervals
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1:z Interval... |
zInterval
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2:t Interval...
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tInterval
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3:2-Sample z Interval...
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zInterval_2Samp
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4:2-Sample t Interval...
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tInterval_2Samp
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5:1-Prop z Interval...
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zInterval_1Prop
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6:2-Prop z Interval...
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zInterval_2Prop
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7:Linear Reg t Intervals...
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LinRegtIntervals
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8:Multiple Reg Intervals...
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MultRegIntervals
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7:Stat Tests
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1:z Test...
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zTest
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2:t Test...
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tTest
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3:2-Sample z Test...
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zTest_2Samp
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4:2-Sample t Test...
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tTest_2Samp
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5:1-Prop z Test...
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zTest_1Prop
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6:2-Prop z Test...
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zTest_2Prop
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7:χ² GOF...
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χ²GOF
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8:χ² 2-way Test...
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χ²2Way
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9:2-Sample F Test...
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FTest_2Samp
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A:Linear Reg t Test...
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LinRegtTest
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B:Multiple Reg t Test...
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MultRegtTest
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C:ANOVA...
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ANOVA
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D:ANOVA 2-Way...
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ANOVA2way
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7:Matrix & Vector
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1:Create
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1:Matrix...
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2:Zero Matrix
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newMat()
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3:Identify
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identity()
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4:Diagonal
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diag()
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5:Random Matrix
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randMat()
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6:Fill
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Fill
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7:Submatrix
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subMat()
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8:Augment
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augment()
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9:Column Augment
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colAugment()
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A:Construct Matrix
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constructMat()
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2:Transpose
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T
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3:Determinant
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det() |
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4:Row-Echelon Form
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ref()
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5:Reduced Row-Echelon Form
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rref()
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6:Simultaneous
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simult()
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7:Norms
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1:Norm |
norm()
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2:Row
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rowNorm()
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3:Column
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colNorm()
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8:Dimensions
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1:Matrix
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dim()
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2:Row
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rowDim()
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3:Column
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colDim()
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9:Row Operations
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1:Swap Rows |
rowSwap()
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2:Row Add
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rowAdd()
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3:Multiply Row
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mRow()
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4:Multiply Row & Add
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mRowAdd()
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A:Element Operations
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1:Dot Add
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.+
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2:Dot Subtract
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.-
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3:Dot Multiply
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.×
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4:Dot Divide
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.÷
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5:Dot Power
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.^
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B:Advanced
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1:Trace
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trace()
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2:LU Decomposition
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LU
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3:QR Decomposition
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QR
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4:Eigenvalues
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eigVl()
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5:Eigenvectors
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eigVc()
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6:Characteristic Polynominal
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charPoly()
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C:Vector
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1:Unit Vector
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unitV()
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2:Cross Product
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crossP()
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3:Dot Product
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dotP()
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4:Convert to Polar
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▶Polar
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5:Convert to Rectangular
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▶Rect
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6:Convert to Cylindrical
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▶Cylind
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7:Convert to Spherical
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▶Sphere
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8:Finance
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1:Finance Solver...
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2:TVM Functions
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1:Number of Periods
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tvmN()
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2:Interest Rate per Year
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tvmI()
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3:Present Value
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tvmPV()
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4:Payment Amount
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tvmPMT()
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5:Future Value
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tvmFV()
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3:Amortization
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1:Amortization Table
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amortTbl()
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2:Balance
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bal()
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3:Interest Paid
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ΣInt()
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4:Principal Paid
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ΣPrn()
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4:Cash Flows
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1:Net Present Value
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npv()
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2:Internal Rate of Return
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irr()
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3:Modified Internal Rate of Return
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mirr() |
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5:Interest Conversion
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1:Nominal Interest Rate
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nom()
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2:Effective Interest Rate
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eff()
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6:Days between Dates
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Day Month Format
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dbd_DMY()
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| Month Day Format |
dbd_MDY() |
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9:Functions & Programs
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1:Program Editor
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1:New...
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2:Open...
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3:Import...
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4:View...
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2:Func...EndFunc
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3:Prgm...EndPrgm
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4:Local
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5:Control
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1:If
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2:If...Then...EndIf
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3:If...Then...Else...EndIf
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4:ElseIf...Then
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5:For...EndFor
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6.While...EndWhile
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7.Loop...EndLoop
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8.Try...Else...EndTry
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9.ClrErr
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A:PassErr
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B:errCode
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C:warnCodes
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| D:wait |
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6:Transfer
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1:Return
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2:Cycle
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3:Exit
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4:Lbl
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5:GoTo Lbl
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6:Stop
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7:I/O
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1:Disp
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2:Dispat
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3:Request
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| 4:RequestStr |
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| 5:Text |
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| 6:getKey |
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| 7:Get |
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| 8:Getstr |
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| 9:Send |
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A:RefreshProbeVars
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8:Mode
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1:Display Digits
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Float, Float1~12, Fix0~12
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2:Angle
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Radian, Degree, Gradian
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3:Exponential Format
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Normal, Scientific, Engineering
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4:Real or Complex
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Real, Rectangular, Polar
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5:Auto or Approx
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Auto, Approximate, Exact
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6:Vector Format
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Rectangular, Cylinderical, Spherical
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7:Base
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Decimal, Hex, Binary
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8:Unit System
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SI, Eng/US
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9:Get Mode
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| A:Get Language Info |
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B:Get PlatFormInfo
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9:Add New Line
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세상의모든계산기 님의 최근 댓글
뉴턴-랩슨 적분 방정식 시각화 v1.0 body { font-family: 'Pretendard', -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif; display: flex; flex-direction: column; align-items: center; background: #f8f9fa; padding: 40px 20px; margin: 0; color: #333; } .container { background: white; padding: 40px; border-radius: 20px; box-shadow: 0 15px 35px rgba(0,0,0,0.08); max-width: 900px; width: 100%; } header { border-bottom: 2px solid #f1f3f4; margin-bottom: 30px; padding-bottom: 20px; } h1 { color: #1a73e8; margin: 0 0 10px 0; font-size: 1.8em; } p.subtitle { color: #5f6368; margin: 0; font-size: 1.1em; } .equation-box { background: #f1f3f4; padding: 15px; border-radius: 10px; text-align: center; margin-bottom: 30px; font-size: 1.3em; } canvas { border: 1px solid #e0e0e0; border-radius: 12px; background: #fff; width: 100%; height: auto; display: block; } .controls { margin-top: 30px; display: flex; gap: 15px; align-items: center; justify-content: center; flex-wrap: wrap; } button { padding: 12px 25px; border: none; border-radius: 8px; background: #1a73e8; color: white; cursor: pointer; font-weight: 600; font-size: 1em; transition: all 0.2s; box-shadow: 0 2px 5px rgba(26,115,232,0.3); } button:hover { background: #1557b0; transform: translateY(-1px); box-shadow: 0 4px 8px rgba(26,115,232,0.4); } button:active { transform: translateY(0); } button.secondary { background: #5f6368; box-shadow: 0 2px 5px rgba(0,0,0,0.2); } button.secondary:hover { background: #4a4e52; } .status-badge { background: #e8f0fe; color: #1967d2; padding: 8px 15px; border-radius: 20px; font-weight: bold; font-size: 0.9em; } .explanation { margin-top: 40px; padding: 25px; background: #fff8e1; border-left: 5px solid #ffc107; border-radius: 8px; line-height: 1.8; } .explanation h3 { margin-top: 0; color: #856404; } .math-symbol { font-family: 'Times New Roman', serif; font-style: italic; font-weight: bold; color: #d93025; } .code-snippet { background: #202124; color: #e8eaed; padding: 2px 6px; border-radius: 4px; font-family: monospace; } 📊 Newton-Raphson 적분 방정식 시뮬레이터 미분적분학의 기본 정리(FTC)를 이용한 수치해석 시각화 목표 방정식: ∫₀ᴬ (2√x) dx = 20 을 만족하는 A를 찾아라! 계산 시작 (A 추적) 초기화 현재 반복: 0회 💡 시각적 동작 원리 (Newton-Raphson & FTC) Step 1 (오차 측정): 현재 A까지 쌓인 파란색 면적이 목표치(20)와 얼마나 차이나는지 계산합니다. Step 2 (FTC의 마법): 면적의 변화율(미분)은 그 지점의 그래프 높이 f(A)와 같습니다. Step 3 (보정): 다음 A = 현재 A - (면적 오차 / 현재 높이) 공식을 사용하여 A를 이동시킵니다. 결론: 오차를 현재 높이로 나누면, 오차를 메우기 위해 필요한 가로 길이(ΔA)가 나옵니다. 이 과정을 반복하면 정답에 도달합니다! const canvas = document.getElementById('graphCanvas'); const ctx = canvas.getContext('2d'); const iterText = document.getElementById('iterText'); // 수학 설정 const targetArea = 20; const f = (x) => Math.sqrt(x) * 2; // 피적분 함수 f(x) = 2√x const F = (x) => (4/3) * Math.pow(x, 1.5); // 정적분 결과 F(x) = ∫ 2√x dx = 4/3 * x^(3/2) let A = 1.5; // 초기값 let iteration = 0; let animating = false; // 그래프 드로잉 설정 const scale = 50; const offsetX = 60; const offsetY = 380; function drawGrid() { ctx.strokeStyle = '#f1f3f4'; ctx.lineWidth = 1; ctx.beginPath(); for(let i=0; i 2026 04.11 참값 : A = ±2√5 근사값 : A≈±4.472135954999579392818347 2026 04.10 fx-570 ES 입력 결과 초기값 입력 반복 수식 입력 반복 결과 2026 04.10 파이썬 코드 검증 결과 초기값: 5.0 반복 1회차: 4.5000000000 반복 2회차: 4.4722222222 반복 3회차: 4.4721359558 반복 4회차: 4.4721359550 반복 5회차: 4.4721359550 초기값: 10.0 반복 1회차: 6.0000000000 반복 2회차: 4.6666666667 반복 3회차: 4.4761904762 반복 4회차: 4.4721377913 반복 5회차: 4.4721359550 2026 04.10 감사합니다. 주말 잘 보내세요. 2026 03.06