symbolic-math

My project require me to use Matlab to create a symbolic equation with square wave inside. I tried to write it like this but to no avail: syms t; a=square(t); Input arguments must be 'double'. What can i do to solve this problem? Thanks in advance for the helps offered. here are a couple of general options using floor and sign functions: f=@(A,T,x0,x) A*sign(sin((2*pi*(x-x0))/T)); f=@(A,T,x0,x) A*(-1).^(floor(2*(x-x0)/T)); So for example using the floor function: syms x sqr=2*floor(x)-floor(2*x)+1; ezplot(sqr, [-2, 2]) rayryeng Here is something to get you started. Recall that we can express a

I am trying to generate a piecewise symbolic function in Matlab. The reason it has to be symbolic is I want to be able to integrate/differentiate the function afterwards and/or insert actual values. I have the following function: x^3/6 -> 0 < x <= 1 (1/6)*(-3*x^3+12*x^2-12x+4) -> 1 < x <= 2 (1/6)*(3*x^3-24*x^2+60x-44) -> 2 < x <= 3 (1/6)*(4-x)^3 -> 3 < x <= 4 0 -> otherwise For example, I want to put this function in a variable (let's say f) and then call int(diff(f, 1)^2, x, 0, 4) % numbers could be different and get the (scalar) result 2/3. I tried various things, involving the piecewise()

I've found polynomial coefficients from my data: R <- c(0.256,0.512,0.768,1.024,1.28,1.437,1.594,1.72,1.846,1.972,2.098,2.4029) Ic <- c(1.78,1.71,1.57,1.44,1.25,1.02,0.87,0.68,0.54,0.38,0.26,0.17) NN <- 3 ft <- lm(Ic ~ poly(R, NN, raw = TRUE)) pc <- coef(ft) So I can create a polynomial function: f1 <- function(x) pc[1] + pc[2] * x + pc[3] * x ^ 2 + pc[4] * x ^ 3 And for example, take a derivative: g1 <- Deriv(f1) How to create a universal function so that it doesn't have to be rewritten for every new polynomial degree NN ? My original answer may not be what you really want, as it was

Consider the following matrix Ja(t1, t2, t3, t4, t5, t6) = [ (sin(t5)*(cos(t3)*cos(t4)*(cos(t1)*sin(t2) + cos(t2)*sin(t1)) - sin(t3)*sin(t4)*(cos(t1)*sin(t2) + cos(t2)*sin(t1))))/5 - sin(t1)/100 - (219*sin(t1)*sin(t2))/1000 - (19*cos(t3)*(cos(t1)*sin(t2) + cos(t2)*sin(t1)))/100 - (21*cos(t3)*cos(t4)*(cos(t1)*sin(t2) + cos(t2)*sin(t1)))/1000 + (21*sin(t3)*sin(t4)*(cos(t1)*sin(t2) + cos(t2)*sin(t1)))/1000, (219*cos(t1)*cos(t2))/1000 + (sin(t5)*(cos(t3)*cos(t4)*(cos(t1)*sin(t2) + cos(t2)*sin(t1)) - sin(t3)*sin(t4)*(cos(t1)*sin(t2) + cos(t2)*sin(t1))))/5 - (19*cos(t3)*(cos(t1)*sin(t2) + cos(t2)

My question is similar to this question but I believe it to be more general. I use Matlab's symbolic math toolbox to solve an equation: MAZ = 0.5; MAU = 1.0; XI = 1.0; ALPHA = 2.0; DRG = 0.5; SRG = 1.0; PHI = 1 / (2 * MAU); syms L; f = 1 - DRG - sqrt(1 + (ALPHA * XI - L / (2 * XI * PHI) ) ^ 2 ) / ... sqrt(1 + (ALPHA * XI) ^ 2) + L / (4 * PHI * SRG * sqrt(1 + (ALPHA * XI)^2)); a = solve(f,L,'Real',true); The answer is: a = 5^(1/2)/3 + (10*((4*5^(1/2))/25 + 6/25)^(1/2))/3 + 8/3 5^(1/2)/3 - (10*((4*5^(1/2))/25 + 6/25)^(1/2))/3 + 8/3 How do I automatically convert these expressions for a - which