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Evaluate $\int_0^\infty \sum^{\lfloor x\rfloor}_{n=1}\frac{\sin nx\pi}{x^n ...
http://feedproxy.google.com/~r/RecentQuestions-MathematicsStackExchange/~3/1Ka6_w_0T_Q/evaluate-int-0-infty-sum-lfloor-x-rfloor-n-1-frac-sin-nx-pixndx?utm_source=feedburner&utm_medium=email Aug 18, 2021 ... ... 1sin(xπn)xndx. Then you seek ∞∑k=1 ... The sum terminates when the integer n>x, and the sum will terminate at the same ...
What happens, at a high level, when you factor this expression?
https://groups.google.com/g/sympy/c/4Pt1V322RHw Jun 24, 2011 ... The same is true for __mul__ and Mul. So in sin(x)**2 + 2*sin(x) + 1, sin(x) creates a sin object (when it is called). This reduces to. sin(x) ...
Crash report: integral of ln(1+4/5*sin(x)) crashes Maxima and Sage
https://groups.google.com/g/sage-support/c/dZFPiWRWSoc The same happens with the indefinite integral and the exact definite ... sin(x) + 1), x, -3.1415, 3.1415) sage-5.0.beta1: integrate(log(4/5*sin(x) + 1) ...
to_poly_solve inconsistency for periodic functions
https://groups.google.com/g/sage-support/c/ys3CASZ3vrs Apr 7, 2012 ... "sin(x)/cos(x)-1==0". Is this a bug or is it covered somewhere ... 1) find Maxima commands that would do the same thing (you'll have to ...
Trigsimp using groebner bases
https://groups.google.com/g/sympy/c/WjVYV8Q7tB4/m/GAHIeRBmZGIJ and builds all the relations described above. [For example, if the expression is sin(x**2)+sin(2*x)+cos(x/3), then the
Difference between fraction and as_numer_denom
https://groups.google.com/g/sympy/c/NCSgbchEeKY/m/8HF6PFY8jTIJ Both fraction and as_numer_denom return (2x+2, sin(x)+1) for expression 2(x+1)/(sin(x)+1), i.e. they rewrite numerator and denominator. I suggest simple fix ...
Sine Lookup Table with Linear Interpolation
https://groups.google.com/g/sci.electronics.design/c/UKwVg29ssRA > sin(x) is 1 + x. One is quadratic, one is linear. Oops, should be: cos(x) ~= 1 - x^2/2
solve() questions
https://groups.google.com/g/sympy/c/pYh8v0KdBMQ May 20, 2013 ... but also on the *type* of the equations! In [5]: solve([x - 1, y - 1], [x, y]) Out[5]: {x: ...
solve and solution_dict
https://groups.google.com/g/sage-devel/c/cOx1iTdagnc Sep 10, 2009 ... Some solutions will be lost. %pi (%o9) [x = ---] 2 (%i10) solve([sin(x)=1,y=1]); ... even for the same ones, when the most recent threads ...
Problem with Solve and NSolve
https://groups.google.com/g/comp.soft-sys.math.mathematica/c/Jqn5pYrm6Po Oct 28, 2011 ... I've recently tried Mathematica 8.0.1, and I've found that it's unable to compute Solve[x^3*Sin[x]==1,x] (and the same with NSolve), ...
signum function
https://groups.google.com/g/tinspire/c/wDP6dCfXdrY With this convention we can handle limits like 1/x*sin(x) as x-> infinity ... I see now that the two versions do behave the same when the mode is the same.
ALL roots of non-polynomial equation
https://groups.google.com/g/comp.soft-sys.math.mathematica/c/sv9WuSewjRk Aug 11, 2002 ... Good luck with a function like 1 + Sin[x], which has infinitely many roots but never changes sign! Or Sin[1/x], which has infinitely many ...
plotting function over limited range
https://groups.google.com/g/comp.graphics.apps.gnuplot/c/hIaVxbFJIrA Apr 29, 1997 ... ... 1, 1/x for 1 <= x < 2, and undefined elsewhere: f(x) = 0<=x && x<1 ? sin(x) : 1<=x && x<2 ? 1/x : 1/0 plot f(x) Note that gnuplot quietly ...
calculus - Proving $\sum \limits _{n=1}^{\infty}\frac{\sin (n)}{n ...
http://feedproxy.google.com/~r/RecentQuestions-MathematicsStackExchange/~3/djiDHdQ-Nd4/proving-sum-limits-n-1-infty-frac-sin-nn-convergent?utm_source=feedburner&utm_medium=email Mar 23, 2021 ... ... sin(x)≤1 therefore, for each n≤n0: ∣sin(n+1)n+1 ... I think that in the same line I asked you for .. the |SN−SM|=|sin(N) ...
SymPy -- issues with - Taylor series (mpmath) and Lambdify
https://groups.google.com/g/sympy/c/Zk_zcgw6jAM/m/PO6pVeITAgAJ pi... >>> sy.mpmath.taylor(sy.sin,np.pi,1). [mpf('0.0'), mpf ... I think the resulting function should respond with an array of the same shape as the input array.
FindMinimum and least square minimization
https://groups.google.com/g/comp.soft-sys.math.mathematica/c/4j1Oj9eqJnw b*#1[[1]]^2 + c*Sin[#1[[1]]]+d))*#1[[1]]^3 & ) /@ xydata; dQdb[a_, b_, c_, d ... Sin[1. x]+131.56; xydata=Table[{u,y[u]},{u,-10,10,0.1}];. Next, we ...
Mathematical functions | BigQuery | Google Cloud
https://cloud.google.com/bigquery/docs/reference/standard-sql/mathematical_functions Computes the sine of X where X is specified in radians. Never fails. X, SIN(X). +inf, NaN. -inf ...
How do I decide whether to use gnuplot-nox or gnuplot-qt or gnuplot ...
https://groups.google.com/g/alt.os.linux/c/_Xs0lxDd8FY Mar 16, 2015 ... plot (x/4)**2, sin(x), 1/x. So I would not expect the interface to do ... They both look the same. $ gnuplot gnuplot> x=5 gnuplot> plot ...
MathICS: A free, light-weight (online) alternative to Mathematica with ...
https://groups.google.com/g/sage-devel/c/cjrsZfGkc-w Integration is one of the functions where Sage can already be used as a back-end instead of SymPy: SageIntegrate[Sin[x]*Cos[x+1],x] runs faster and gives a more ...
[mg21598] Series expansion of ArcSin around 1
https://groups.google.com/g/comp.soft-sys.math.mathematica/c/tD8SCIDBwO0 Plot[{ArcSin[x], series2}, {x, -1, 1.}, PlotStyle -> {RGBColor[0, 0, 1], RGBColor[1, 0, 0]}];. Both x and Pi-x have the same Sin. Plot[Sin[x], {x, 0, 2Pi}];.