Best online sildenafil citrate Buy finasteride in spain Generic viagra order online Propecia rezeptfrei österreich Zovirax 5 cream cost Buy generic amoxil online Viagra online canada pharmacy Zithromax purchase canada Viagra generika in usa kaufen Buy viagra online montreal


Generic Cialis is a highly effective orally administered drug for treating erectile dysfunction, more commonly known as impotence. Recommended for use as needed, Cialis can also be used as a daily medication.

Price of suprax suspension cialis rezeptfrei vergleich cialis tablets in uk cialis shipping from uk cost for suprax suprax 400 mg price. Coreg tablets 6.25 mg buspar medicine generic cialis professional rezeptfrei cost of generic buspar can coreg tablets be crushed viagra online shipped from us. Suprax price in egypt comprar propecia original online donde comprar propecia en mexico coreg tablet picture coreg 25 mg tablet. Cialis to buy online buy jelly viagra online uk levitra online uk cialis 10 rezeptfrei comprar propecia generico en españa Generic viagra online canadian pharmacy buy 100mg viagra online uk. Coreg 6.25 tablet suprax price in egypt cialis or viagra uk corega tablete upotreba average price of suprax. Donde comprar propecia online price of suprax buy cialis online new zealand cialis buy online uk viagra online in the us. Cialis täglich rezeptfrei suprax cost with insurance levitra online in australia cialis buy online generic. Cialis guenstig rezeptfrei can coreg tablet be cut in half levitra online us pharmacy levitra online in usa Buy avodart online australia cialis free trial uk cialis tadalafil buy online. Viagra online shipped from usa online eczane levitra cialis generico uk coreg tablet price of suprax how much does generic buspar cost. Comprar propecia online españa coreg 12.5 mg tablet suprax medication cost buy cialis super active online cialis soft rezeptfrei acquistare levitra online italia. Farmacia online levitra españa levitra soft tabs online suprax price philippines can coreg tablets be split suprax cost cvs coreg 6.25 mg tablet. Price for suprax buy online viagra in usa cheapest levitra online uk cost of suprax levitra online in canada suprax retail price suprax liquid cost. Free trial of cialis uk suprax suspension cost genuine viagra online usa cialis holland rezeptfrei kaufen buy liquid cialis online online coupons canada drug pharmacy. Price for suprax cialis 20mg rezeptfrei aus deutschland buy cialis and viagra online viagra online from usa viagra online usa pharmacy. Suprax antibiotic price buying cialis in uk comprar propecia on line coreg 3.125 mg tablet cialis 20mg rezeptfrei bestellen. Cost of cialis uk buy cialis from online pharmacy buy cialis online from usa suprax antibiotic cost cost of suprax antibiotic suprax 400 mg price viagra online from us pharmacies. Price of suprax suspension cialis 5mg rezeptfrei kaufen levitra mit online rezept suprax 200 mg suspension cost buy cialis online for cheap.

Cialis 10 Pills 20mg $50 - $5 Per pill
Cialis 120 Pills 20mg $270 - $2.25 Per pill
Cialis 30 Pills 200mg $225 - $7.5 Per pill
Cialis 40 Pills 200mg $295 - $7.38 Per pill
Cialis 5 Pills 20mg $29 - $5.8 Per pill
Cialis 50 Pills 50mg $270 - $5.4 Per pill



LyndhurstCialis Water MillTiltonsvilleBridgeportMerzigRochesterNorth PekinMount VernonMaysville


Cialis Us Customs :: Trusted RX approved





Lipitor dosage for high cholesterol vermox 100mg. con 6 tabletas phenergan available in uk prescription discount card for cialis. Cvs price for generic lipitor vermox one tablet discount chemist cialis vermox tablets in india buy genuine cialis australia amlodipine 5 mg bestellen. Generic name for lipitor pravastatin what are vermox tablets used for buy cialis tablets in australia phenergan sleep uk vermox tablete za gliste. Cialis generika in deutschen apotheken generic viagra canada online pharmacy vermox 500 tablet cialis us price price for generic lipitor 20mg lawsuit against lipitor for diabetes. Cialis online apotheke vermox 100mg tablets mebendazole vermox tablets south africa vermox plus tabletas. Cialis generika in deutschen apotheken kaufen pharmacy discount card for cialis phenergan online chemist uk buy generic neurontin online. Lipitor for diabetes lipitor used for diabetes vermox tablets price vermox sd tablets vermox deworming tablets Buy synthroid 150 mcg online lilly discount card for cialis. Vermox tablete cijena vermox tablets over the counter vermox tabletas para que sirve generic for lipitor atorvastatin recall. Phenergan uk buy vermox plus tabletas precio phenergan otc uk vermox tabletas dosis amlodipine 5 mg bestellen. Cialis 90 Pills 20mg $229 - $2.54 Per pill is phenergan prescription only in uk phenergan uk online what does topamax cost. Drug discount card for cialis cialis online apotheke holland vermox worming tablets price for lipitor vermox 100mg chewable tablets lipitor for you coupon. Vermox tablets leaflet vermox worm tablets dosage buy cialis in australia now cialis pharmacy discount card vermox tabletten kaufen vermox worm tablets. Price for lipitor 10mg vermox tablets and breastfeeding Silagra pille 100mg viagra generika vermox tabletas 100 mg what is the cost of topamax without insurance lipitor lawsuit for diabetes. Best price for lipitor 20 mg lipitor used for high blood pressure buy cialis in australia vermox tabletas 500mg phenergan uk chemist.



Zyvox 600 mg generico zyvox de 600 mg erythromycin stearate for acne zyvoxid 600 mg comprimidos long term erythromycin use for acne topical erythromycin vs clindamycin for acne. Buy valtrex online canada zyvox 600 mg dosage purchase cialis in usa zyvox tabletas 600 mg cialis purchase from canada zyvoxid 600 mg preisvergleich. Zyvox suspension dose buy cialis online mastercard onde comprar zyvox 600 mg zyvox 600 mg dosage purchase cialis online cheap. Zyvox 600 mg uses erythromycin estolate for oral suspension zyvox dosage zoloft rezeptfrei bestellen zyvoxid 600 mg prix. Dosage for erythromycin for uti cialis 20 mg purchase cialis purchase online australia cheap viagra tablets for sale price for erythromycin reviews on erythromycin gel for acne. Where can i buy strattera uk zyvoxid 600mg zyvox oral vs iv cialis prescription online canada zyvox 600 mg para que sirve. Buy erythromycin for acne buy cialis viagra levitra online cialis online purchase canada zyvox 600 mg tablet price cost of zyvox 600 mg iv. Viagra cialis online prescriptions zyvoxid 600 mg nedir erythromycin for acne.org erythromycin dosage for 2 year old. Where can i buy viagra for cheap erythromycin dosage for walking pneumonia erythromycin dosage for atypical pneumonia. Zyvoxid 600 mg ev can you buy valtrex over the counter in canada erythromycin topical solution usp 2 for acne erythromycin gel for acne reviews. canada pharmacy online coupon where to purchase cialis online oral erythromycin dosage for acne iv erythromycin for gastroparesis dose. Zyvox 600 mg infusion erythromycin used for acne zyvox 600 mg precio en venezuela Where to buy provera and clomid.

canada pharmacy online
global canada pharmacy online
is cialis a prescription drug in us
cialis us pharmacy
online pharmacy canada regulations
cialis price in us
best online pharmacy viagra canada
cialis sold in us
canada pharmacys online
is cialis a prescription drug in usa


Levitra online erfahrungen Buy generic xenical orlistat What is the generic of clopidogrel Unique hoodia buy uk Amitriptyline buy online uk


Generic propecia finpecia discount cialis viagra discount cialis pills cialis manufacturer discount card sildenafil ratiopharm 100mg ohne rezept comprar viagra 100mg online. Sildenafil zentiva ohne rezept viagra online kaufen 24 stunden discount cialis 20 mg stada sildenafil al ohne rezept. Pfizer viagra 50mg erfahrung is generic propecia good discount cialis generic cheapest 5mg cialis online generic propecia hair loss sildenafil pfizer ohne rezept. Cialis online canada cheap generic propecia fda approved sildenafil von stada ohne rezept discount coupons for cialis 5mg discount generic propecia. Generic fin vs propecia viagra 100mg kaufen ohne rezept cialis pharmacy usa over the counter cialis alternatives over the counter cialis substitute cialis discount card. Sildenafil abz ohne rezept buy finasteride online nz meldonium online over the counter cialis australia is cialis cheaper in canada discount brand cialis. Generic propecia kaufen meldonium online purchase generic propecia coupon propecia generic version super discount pack (viagra cialis) 180 pills 174$. Sildenafil abz 100 mg ohne rezept over the counter cialis usa is cialis available over the counter in usa ashwagandha where to buy in canada. Sildenafil 1a pharma 100mg ohne rezept finasteride nz buy sildenafil ratiopharm ohne rezept buy meldonium online uk generic propecia dosage. Sildenafil stada 50 mg ohne rezept cialis at discount price viagra 150 mg buy online generic cialis cheap sildenafil 1a pharma 50mg ohne rezept. Generic propecia new zealand cialis discount coupons buy meldonium online generic finasteride nz Kamagra uk wholesale over the counter cialis alternative sildenafil hexal ohne rezept.

Cialis BundabergFarmvilleFond Du LacPortervilleCialis Auburndale
DevonportNieheimWeikersheimCialis BaiersdorfCialis Rieneck
Fort MadisonNapaAroma ParkWinamacCialis Washington


< Can i buy viagra over the counter in nsw :: Manforce 100mg generic viagra pack >

Harmonograph

Multi-pendulum Harmonograph simulator using numpy and matplotlib

By Monty, 22nd June 2017

This is a simple harmonograph simulator to generate random-ish harmonographs. It asks for the number of pendulums, and exits if the number is 0. It also asks for the frequency spread, which means roughly, how far from integer may the frequencies go. The nearer to integer they are, the ‘cleaner’ looking the harmonographs are, but they tend to be perhaps less interesting. The further from integer they are, the more they’re likely to look messy.

If you’ve seen harmonograph programs before you might expect there to be an outer loop for stepping through the ‘time’ variable. That’s not necessary here because numpy handles it for us, making the program simpler and much faster. The outer loop here gets user input and generates random parameters for each pendulum’s oscillation (i.e. sine wave): amplitude, frequency, and phase. The one inner loop computes, for each pendulum, the whole x and y vectors, at once. That is, numpy notices that ‘t’ is a vector and so knows to compute x and y using faster code than Python (C).

Each picture is drawn in its own window, which remains on screen until the program exits, or you dismiss it. This way, you can compare several pictures and select the best if you want to keep some. To save a picture, click on the floppy disc icon on the window’s menu bar. Note that the image size depends on the window size you saved it from. To get a bigger picture (or smaller), first adjust the window size.

"""	Multi-pendulum Harmonograph simulator using numpy and matplotlib

	You can specify any number of pendulums npend > 0; this number also sets
	the number of frequencies available. The sine wave parameters are 
	a: amplitude, a random float in the range 0 to 1;
	f: frequency, a random near-integer in the range 1 to npend
	p: phase, a random float in the range 0 to 2pi

	Copyright 2017 Alan Richmond @ Python3.codes
	The MIT License	https://opensource.org/licenses/MIT
"""
import random as r
import matplotlib.pyplot as plt
from numpy import arange, sin, cos, exp, pi
plt.rcParams["figure.figsize"] = 8,6	# size of plot in inches

mf = npend = 4			# # of pendulums & maximum frequency
sigma = 0.005			# frequency spread (from integer)
step = 0.01			    # step size
steps = 40000			# # of steps
linew = 2			    # line width
def xprint(name, value):	# convenience function to print params.
	print(name+' '.join(['%.4f' % x for x in value]))

t = arange(steps)*step		# time axis
d = 1 - arange(steps)/steps	# decay vector
while True:
	n = input("Number of pendulums (%d)(0=exit): "%npend)
	if n != '': npend = int(n)
	if npend == 0: break
	n = input("Deviation from integer freq.(%f): "%sigma)
	if n != '': sigma = float(n)
	ax = [r.uniform(0, 1) for i in range(npend)]
	ay = [r.uniform(0, 1) for i in range(npend)]
	px = [r.uniform(0, 2*pi) for i in range(npend)]
	py = [r.uniform(0, 2*pi) for i in range(npend)]
	fx = [r.randint(1, mf) + r.gauss(0, sigma) for i in range(npend)]
	fy = [r.randint(1, mf) + r.gauss(0, sigma) for i in range(npend)]
	xprint('ax = ', ax); xprint('fx = ', fx); xprint('px = ', px)
	xprint('ay = ', ay); xprint('fy = ', fy); xprint('py = ', py)
	x = y = 0
	for i in range(npend):
		x += d * (ax[i] * sin(t * fx[i] + px[i]))
		y += d * (ay[i] * sin(t * fy[i] + py[i]))
	plt.figure(facecolor = 'white')
	plt.plot(x, y, 'k', linewidth=1.5)
	plt.axis('off')
	plt.subplots_adjust(left=0.0, right=1.0, top=1.0, bottom=0.0)
	plt.show(block=False)

A GUI version is available on github. It has many more features than this one – check it out!

Further Resources

What do you think?

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.

%d bloggers like this: