HOMELIBRARYPRODUCTSFORUMSCART Tel: +44 (0) 20 7193 9303 Email Us Join CodeCogs Login Email or Screen Name Password Login I have forgottenmy Password Or login with: http://facebook.com/ https://www.google.com/accounts/o8/id https://me.yahoo.com Main Pages Library Pages HOME Main Page About FAQ Contact Us SUBMIT Submit Code Code Arrangement Programming Guidelines Doxygen Documentation Legal Dociments Purchaser User Agreement Developer User Agreement Mediatioin / Arbitration Agreement GNU General Public Licence CodeCogs.com Commercial Licence MY COGS My Account My Licences My Contact Details My Downloads My Module Requests My Development Bids FORUM CART Licence Summary GNU General Public Licence CodeCogs.com Commercial Licence SITE MAP COMPUTING ARRAY Cube Grid Lookup Matrix Vector BASE Dec To Oct C COMPLEX Abs Introduction COMPLEX.H Carg Cerf Introduction MATH.H Acos Asin Atan Atan2 Ceil Cos Cosh Exp Fabs Floor Fmod Frexp Introduction Ldexp Log Modf Pow Round Sin Sinh Sqrt Tan Tanh SEARCH.H Introduction Lsearch STDIO.H Fclose Ferror Fflush Fgets Fopen Fputs Fread Fseek Getc Introduction Printf Putc Remove Rename Scanf Setbuf Strerror Tmpfile Ungetc STDLIB.H Abort Abs Atexit Atof Atoi Atol Bsearch Div Ecvt Exit Getenv Introduction Labs Ldiv Malloc Qsort Rand Strtod Strtol Strtoul System STRING.H Introduction Memchr Memcmp Memcpy Memmove Memset Strcat Strchr Strcmp Strcoll Strcpy Strcspn Strlen Strpbrk Strrchr Strspn Strstr Strtok Strxfrm Swab TIME.H Clock Ctime Introduction Time Tzset GRAPHICS Median Filter Order Statistic Filter Class RGB To Hex FORMATS GIF IO BINARY File Length File Length Cpp Read File COMPRESSION LZW Variable LZW FORMAT Number Format Roundto LOWLEVEL Is Big Endian Machine Epsilon SECURITY MD5 SORT Bucket Heap Insertion Quick STL Auto Ptr Exceptions Introduction String ALGORITHMS Introduction BINARYSEARCH Binary Search Equal Range Introduction Lower Bound Upper Bound HEAP Introduction Is Heap Make Heap Pop Heap Push Heap Sort Heap MIN MAX Introduction Lexicographical Compare Max Max Element Min Min Element Next Permutation Prev Permutation MODIFYING Copy Copy Backward Copy N Fill Fill N Generate Generate N Introduction Iter Swap Partition Random Shuffle Remove Remove Copy Remove Copy If Remove If Replace Replace Copy Replace Copy If Replace If Reverse Reverse Copy Rotate Rotate Copy Stable Partition Swap Swap Ranges Transform Unique Unique Copy NONMODIFYING Adjacent Find Count Count If Equal Find Find End Find First Of Find If For Each Introduction Mismatch Search Search N SET Includes Inplace Merge Introduction Merge Set Difference Set Intersection Set Symmetric Difference Set Union SORTING Introduction Nth Element Partial Sort Partial Sort Copy Sort Stable Sort CONTAINERS Bitset Introduction Pair ADAPTORS Introduction Priority Queue Queue Stack ASSOCIATIVE Hash Map Hash Multimap Hash Multiset Hash Set Introduction Map Multimap Multiset Set SEQUENCES Bit Vector Deque Introduction List Slist Vector ITERATORS Bidirectional Iterator Forward Iterator Input Iterator Introduction Output Iterator Random Access Iterator NUMERICS Complex Valarray ENGINEERING AERODYNAMICS Axial Flow Pumps And Fans Basic Aerodynamics Theory FLUID MECHANICS CHANNEL FLOW Uniform Flow FLOATING BODIES Stability And Metacentric Height Stability With Liquid Loads The Oscillation Of Floating Bodies FLUID MASSES Accelerated Along Inclined Plane Accelerated Horizontally Accelerated Vertically FUNDAMENTALS Bernoullis Theorem Cavitation Chezy Equation Darcys Formula Eulers Equation Pascals Law Reynolds Total Pressure MACHINES PUMPS Centrifugal Pumps Principles Of Similarity Pump And Turbine Cavitation Single Stage Centrifugal Pumps Types TURBINES Axial Flow Turbines Impulse And Reaction Turbines Introduction To Turbines Specific Speed And Unit Conditions The Efficiency Of Turbines Water Turbines NOTCHES Introduction Rectangular Notch Stepped Notch Trapezoidal Notch Triangular Notch ORIFICE Introduction FLOW FROM TANKS Circular Horizontal Hemispherical Square Transfer Two Orifices Variable Cross Section GEOMETRY Drowned Orifice Rectangular Orifice Submerged Orifice PIPES Branched Pipes Forces On Pipe Bends The Hydraulic Gradient Transmission Of Power Uniform Run Off Venturi Meters HEAD LOSS Change In Pipe Section Nozzles And Mouthpieces Pipe Head Loss Tapered Pipe MOUTHPIECE Convergent Mouthpiece Convergent Divergent Mouthpiece External Mouthpiece Internal Mouthpiece SURGE Rigid Column Theory Surge Tanks WATER HAMMER Compressible Flow Incompressible Flow Introduction WATER PRESSURE Lock Gate Masonry Dams Masonry Walls Sluice Gates WAVES Celerity Dispersion Group Celerity ANALYTIC Stokes SPECTRA JONSWAP Pierson Moskowitz WEIRS Discharge Introduction GEOTECHNICS Critical Depth Inf Slope Safety Factor MATERIALS Circular Plates Compound Stress And StrainPart 2 Compound Stress And Strain Part 1 Curved Beams Direct Stress Direct Stress And Strain Elastic Constants Notations Plastic Theory Of Bending Rotating Discs And Cylinders Shear Force And Bending Moment Shear Stress Springs Struts Thick Walled Cylinders And Spheres Torsion BEAMS Built In Beams Built In Beams II Cantilever Beams Deflection Coefficients Elastic Foundations Macaulay Method Moments Of Area Multiple Continuous Beams Portal Frames Shear Stress In Beams Simple Supported Beams Strain Energy BENDING STRESS Bending Stress Moments Of Inertia Moments Of Inertia CYLINDERS AND SPHERES Thin Walled Cylinders And Spheres MECHANICS Angle And Cone Of Friction Laws Of Friction METALLURGY Alloy Steels Impurities In Steel Iron Carbon Alloys OSCILLATIONS Damped AndForced Oscillations Simple Harmonic Motion STRUCTURES Deflection Pp Youngs Modulus THEORY OF MACHINES Balancing Of Inertia Forces Belt And Rope Drives Brakes Cams Clutches Dynamics Of Geared Systems Engine Governors Gear Trains General Dynamical Problems Gyroscopes Inertia Forces And Couples Mechanisms Notations Screw Threads The Geometry Of Gears Turning Moment Diagrams Velocity And Acceleration THERMODYNAMICS Carnot Cycle Critical Temperature And Pressure First Law Of Thermodynamics Heat Entropy Pressure Reversible Processes Second Law Of Thermodynamics The Thermodynqmics Of A Perfect Gas Thermodynamic Cycles Work CONDUCTION Hm Plane Hm Sphere Nhm Plane Nhm Sphere CONVECTION Flow Nusselt Extpipe Nusselt Flat Nusselt Intpipe Parameters IDEAL GASES Expansion And Compression Of Ideal Gases Variations In Entropy MACHINES Air Compressors Air Motors Internal Combustion Engine Cycles Types Of Heat Exchangers RADIATION Energy Flow Enclosed Flow Noshield Flow Shield FINANCE ACCOUNTING Deprec Fixed Dec Depreciation Deprec Pro Rated Deprec Pro Rated M Deprec Straight Deprec Sum Of Years Npv Pv Xnpv BANKING Accrued Interest Bill Bond Equiv Bill Price Bill Yield Coupon Days After Set Coupon Days In Period Coupon Days To Set Coupon Next Date Coupon Number Coupon Prev Date Dollar Decimal Dollar Fraction Future Value Future Value Schedule Interest Effective Interest Nominal Interest Security N Periods Total Received Year Basis Year Fraction Yearly Freq MATHS APPROXIMATION INTERPOLATION Akima Cubic Lagrange Linear Multivariate Univariate POLYNOMIAL Cheb Eval Poly Eval REGRESSION Discrete Forsythe Linear Logistic Orthogonal Parabolic Stiefel Univariate Regression SERIES Asympt Expn CALCULUS Differentiation Integration Methods Of Integration DIFFERENTIAL First Order Homogeneous Introduction Linear Simultaneous Equations Linear With Constant Coefficient Partial Separable Taylor Taylor Table The D Operator ODE Euler Runge QUADRATURE Adaptive Gauss Simpson Trapezoidal COMBINATORICS ARITHMETIC Add Binomial Coefficient Binomial Coefficient Gamma Cube Root Expx2 Exp Sub1 Factorial Falling Factorial Gcd Karatsuba Ln Add1 Log Binomial Log Factorial Log Inv Multinomial Multinomial Gamma Multiply Nroot Rising Factorial Subtract Xsub Ln Add1 COMBINATIONS Unrank Combination PERMUTATIONS Ascending Subsequence Breaks Check Cycles Derangement Check Inverse Inverse Large Inversion Sequence Multiplication Partition Permutation1 Permutation2 Permutation3 Permutation Lex Rank Sign Ulam Distance Unrank Unused Items SEQUENCES ASM Number ASM Triangle Row Bell Numbers List Catalan Numbers List Catalan Triangle Row Derangements List Derangements Number Euler Triangle Row Fixed Permutation Involution Numbers List Morse Thue Number Padovan Numbers List Pascal Triangle Row Pentagonal Number Perrin Numbers List Schroeder Numbers List Young Number DATA FITTING Least Squares DISCRETE NUMBER THEORY Bernoulli A Bernoulli B Euler Factorize Factorize Direct Is Prime Primes RECURRENCE LINEAR INHOMOGENEOUS First Order GEOMETRY Corners Pythgen AREA Circle Edge Triangle Ellipse Right Triangle COORDINATE Circle Definitions Ellipse Hyperbola Pairs Of Straight Lines Parabola Straight Line PURE Triangles And Circles SPHERICAL Angular Distance Lat Long Position TRIGONOMETRY Formulae The Trigonometry Of The Triangle Trigonometrical Formulae Trigonometrical Ratios VOLUME Ellipsoidal Cap NOTATIONS Basic Calculus Geometry Logics Set Theory OPTIMIZATION Bracket Brent Golden Nelder ROOTFINDING Aitken Bernoulli Bisection Brent Falseposition Muller Newton Secant SPECIAL Error Fn Error Fn C Error Fn C Exp Error Fn Inv Fresnel Cos Fresnel Sin Sine Power Integral T AIRY Airy BESSEL Hankel Kelvin Struve I I I0 I1 J J J0 J1 J Expansion J Nt J Recurrence J Series K K K0 K1 Y Y Y0 Y1 GAMMA Beta Beta Reg Beta Reg Inv Gamma Gamma Upper Reg Inv Gamma Lower Reg Gamma Rcp Gamma Simple Gamma Upper Reg Log Beta Log Gamma Frac Log Gamma Sum Log Gamma Simple Log Gamma Log Gamma Stirling Psi Stirling Trigamma HYPERGEOMETRIC Hypergeo Hypergeo 1f1a Hypergeo 1f1p Hypergeo 1f2 Hypergeo 2f0 Hypergeo 3f0 PHYSICS FUNDAMENTALS Newtons Second Law KINEMATICS Angular Velocity And Acceleration Impact Linear Velocity And Acceleration Simple Harmonic Motion The Equation Of Energy Velocity And Acceleration Of A Piston MAGNETISM Field Strength Inductance Magnetic Circuits With Parallel Parts Magnetic Hysteresis Magnetic Leakage Magnetic Pull Force Magnetic Reluctance Movement Of A Charge In A Magnetic Field Stored Energy STATISTICS Countif Operators Sumif DISTRIBUTIONS CONTINUOUS Rosin Rammler ANGLE CDF PDF ANGLIT CDF CDF Inv PDF ARCSIN CDF CDF Inv PDF Variance BETA CDF CDF Inv PDF Random Sample BRADFORD CDF CDF Inv Mean PDF Variance BURR CDF PDF CHISQUARED CDF CDF Inv Random Sample F CDF CDF Inv GAMMA CDF Random Sample LOGISTIC CDF CDF Inv PDF LOGNORMAL CDF CDF Inv PDF NORMAL CDF CDF Inv PDF Random Sample STDNORMAL CDF CDF Inv PDF T CDF CDF Inv PDF WEIBULL CDF PDF DISCRETE BINOMIAL CDF CDF Inv PDF DISCRETE Randomfast Random Sample HYPERGEOMETRIC CDF CDF Inv PDF NEGATIVEBINOMIAL CDF CDF Inv PDF Random Sample POISSON CDF CDF Inv PDF Random Sample MOMENTS Avedev Combin Correlation Covariance Fisher Fisher Inverse Frequency Geometric Harmonic Kurtosis Largest Mean Median Mode Pearson Permut Prob Rank Skewness Smallest Squared Deviations Standard Deviation Statistics Trim Mean Variance RANDOM Carry Fish Moore LGM Mersenne Mother Of All Wich Hill STRINGS Html Word Wrap Nth Word Strtodouble Vec SEARCH Detect Bracket Detect Comments Detect Speech UNITS Dimensional Analysis The Imperial System CONVERT Angle Area Conversion Factors Convert Density Distance Flow Force Light Power Pressure Temperature Volume DATE Constants Date Date Diff Date Diff360 Date String Date Time Date YMD Date Str Day Day Of Week Day Of Year Days In Month Days In Year Easter Sunday End Of Month Excel To Julian First Monday Inc Month Is Leap Year Julian To Excel Month Month Str Network Days Next Week Day Nth Week Day Today Weekday Str Week Of Year Work Day Year TIME GMTOffset Hour Minute Now Second Summertime Summer Time Region Time Time HMS World Time Diff World Time Zone