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zoDm(~l%0wt8|vX^WWh5leRAiTzR9j$y&lEov6`gfB4>Cjs=@6Lso~C-ZWC#gq_Bz6 z*%&`jOJ7lAk>a|z5WVhpQCEr3akaD@!ULz7+rG&ygXuP2wV3kv^HbMg0rn|p#1M4; zN#P2|6gb?|>B&&gl6eqwF<3p#77pf}xudYnNVW5HD9c|mGSziYmi?b9QfD97NnDN? zc+=8=fIB!oHG)$!EIO8y2@dpy4Z@ymD7W_mH z(~zTg<(cREhwT7X_&Je3ps?FK|35A-+qStC8n3XrQ>yMk;OmN!*`)%*TMzyXn3 +type(round(123.456,1)) + +round(123.456) +123 +type(round(123.456)) + + +``` + +#### 2.2. Функция range + +```py +gg=range(76,123,9) +gg +range(76, 123, 9) +type(gg) + +list(gg) +[76, 85, 94, 103, 112, 121] +range(23) +range(0, 23) +#range(23) создает последовательность целых чисел от 0 до 22 с шагом 1 +list(range(23)) +[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22] +``` + +#### 2.3. Функция zip + +```py +qq = ["Похил", "Сарайкина", "Снегура", "Шинкаренко"] +ff=zip(gg,qq) +ff + +tuple(ff) +((76, 'Похил'), (85, 'Сарайкина'), (94, 'Снегура'), (103, 'Шинкаренко')) +ff[0] +Traceback (most recent call last): + File "", line 1, in + ff[0] +TypeError: 'zip' object is not subscriptable +``` + +#### 2.4. Функция eval +```py +fff = float(input('коэффициент усиления=')); dan = eval('5*fff-156') +коэффициент усиления=4 +dan +-136.0 +type(dan) + +``` + +#### 2.5. Функция exec +```py +exec(input('введите инструкции:')) +введите инструкции:perem=-123.456;gg=round(abs(perem)+98,3) +gg +221.456 +``` + +-eval() - для вычислений с возвратом результата, exec() - для выполнения кода без возврата значения. + +#### 2.6. Применение функций abs, pow, max, min, sum, divmod, len, map +```py +abs(-50) +50 +abs(123) +123 +pow(2,3) +8 +pow(5,2) +25 +max(1, 5, 3) +5 +max([10, 2, 8, 4]) +10 +max("a", "A") #сравнение строк в Python происходит по ASCII кодам символов +'a' +max("a", "b") +'b' +min([10, 2, 8, 4]) +2 +sum((10, 20, 30)) +divmod(10, 3) +(3, 1) +divmod(3.5, 2) +(1.0, 1.5) +len({"a": 1, "b": 2}) +2 +len([1, 2, 3, 4, 5]) +list(map(abs, [-1, -2, 3])) +[1, 2, 3] +numbers = [1, 2, 3, 4, 5] +list(map(str, numbers)) +['1', '2', '3', '4', '5'] +``` + +### 3. Функции из стандартного модуля math. + +```py +import math +dir(math) +['__doc__', '__loader__', '__name__', '__package__', '__spec__', 'acos', 'acosh', 'asin', 'asinh', 'atan', 'atan2', 'atanh', 'cbrt', 'ceil', 'comb', 'copysign', 'cos', 'cosh', 'degrees', 'dist', 'e', 'erf', 'erfc', 'exp', 'exp2', 'expm1', 'fabs', 'factorial', 'floor', 'fma', 'fmod', 'frexp', 'fsum', 'gamma', 'gcd', 'hypot', 'inf', 'isclose', 'isfinite', 'isinf', 'isnan', 'isqrt', 'lcm', 'ldexp', 'lgamma', 'log', 'log10', 'log1p', 'log2', 'modf', 'nan', 'nextafter', 'perm', 'pi', 'pow', 'prod', 'radians', 'remainder', 'sin', 'sinh', 'sqrt', 'sumprod', 'tan', 'tanh', 'tau', 'trunc', 'ulp'] +help(math.factorial) +Help on built-in function factorial in module math: + +factorial(n, /) + Find n!. + +math.factorial(5) +120 +math.sin(0) +0.0 +math.acos(0) +1.5707963267948966 +math.degrees(math.pi) +180.0 +math.radians(180) +3.141592653589793 +math.exp(1) +2.718281828459045 +math.log(100) +4.605170185988092 +math.log10(10) +1.0 +math.sqrt(9) +3.0 +math.ceil(3.7) +4 +math.floor(3.2) +3 +math.sin(2 * math.pi / 7 + math.exp(0.23)) +0.8334902641414562 +``` + +### 4. Функции из модуля cmath. + +```py +cmath.sqrt(1.2-0.5j) +(1.118033988749895-0.22360679774997896j) +cmath.phase(1-0.5j) +-0.4636476090008061 +cmath.sqrt(-4) +2j +``` + +### 5. Стандартный модуль random. + +```py +import random +dir(random) +['BPF', 'LOG4', 'NV_MAGICCONST', 'RECIP_BPF', 'Random', 'SG_MAGICCONST', 'SystemRandom', 'TWOPI', '_ONE', '_Sequence', '__all__', '__builtins__', '__cached__', '__doc__', '__file__', '__loader__', '__name__', '__package__', '__spec__', '_accumulate', '_acos', '_bisect', '_ceil', '_cos', '_e', '_exp', '_fabs', '_floor', '_index', '_inst', '_isfinite', '_lgamma', '_log', '_log2', '_os', '_parse_args', '_pi', '_random', '_repeat', '_sha512', '_sin', '_sqrt', '_test', '_test_generator', '_urandom', 'betavariate', 'binomialvariate', 'choice', 'choices', 'expovariate', 'gammavariate', 'gauss', 'getrandbits', 'getstate', 'lognormvariate', 'main', 'normalvariate', 'paretovariate', 'randbytes', 'randint', 'random', 'randrange', 'sample', 'seed', 'setstate', 'shuffle', 'triangular', 'uniform', 'vonmisesvariate', 'weibullvariate'] +help(random.seed) +Help on method seed in module random: + +seed(a=None, version=2) method of random.Random instance + Initialize internal state from a seed. + + The only supported seed types are None, int, float, + str, bytes, and bytearray. + + None or no argument seeds from current time or from an operating + system specific randomness source if available. + + If *a* is an int, all bits are used. + + For version 2 (the default), all of the bits are used if *a* is a str, + bytes, or bytearray. For version 1 (provided for reproducing random + sequences from older versions of Python), the algorithm for str and + bytes generates a narrower range of seeds. + +random.seed() #нет возвращаемых значений +random.random() +0.6159477691885248 +random.uniform(1, 10) +7.581530495835095 +random.randint(1, 100) +5 +random.gauss(0, 1) +-0.3506558234077829 +random.choice(numbers) +1 +list1 = [1, 2, 3, 4, 5] +random.shuffle(list1) +list1 +[3, 5, 2, 4, 1] +random.sample(numbers, 3) +[3, 5, 2] +random.betavariate(2, 5) +0.1832859047033012 +random.gammavariate(2, 1) +1.4911292379429324 +list2 = [ + random.uniform(0, 1), # Равномерное распределение + random.gauss(0, 1), # Нормальное распределение + random.betavariate(2, 5), # Бета-распределение + random.gammavariate(2, 1) # Гамма-распределение +] +list2 +[0.31800769775397375, -0.4796694435186039, 0.078752268353954, 2.8310089922616504] + +``` + +### 6. Функции из модуля time. + +```py +import time +dir(time) +['_STRUCT_TM_ITEMS', '__doc__', '__loader__', '__name__', '__package__', '__spec__', 'altzone', 'asctime', 'ctime', 'daylight', 'get_clock_info', 'gmtime', 'localtime', 'mktime', 'monotonic', 'monotonic_ns', 'perf_counter', 'perf_counter_ns', 'process_time', 'process_time_ns', 'sleep', 'strftime', 'strptime', 'struct_time', 'thread_time', 'thread_time_ns', 'time', 'time_ns', 'timezone', 'tzname'] +c1=time.time() +c1 +1759322889.1532655 +c2=time.time()-c1 +c2 +17.157387256622314 +dat=time.gmtime() +dat +time.struct_time(tm_year=2025, tm_mon=10, tm_mday=1, tm_hour=12, tm_min=48, tm_sec=51, tm_wday=2, tm_yday=274, tm_isdst=0) +dat.tm_mon +10 +dat.tm_year +2025 +time.localtime() +time.struct_time(tm_year=2025, tm_mon=10, tm_mday=1, tm_hour=15, tm_min=52, tm_sec=4, tm_wday=2, tm_yday=274, tm_isdst=0) +time.asctime(time.localtime()) +'Wed Oct 1 15:54:51 2025' +time.ctime(c1) +'Wed Oct 1 15:48:09 2025' +time.sleep(2) +time.mktime((2025, 1, 1, 0, 0, 0, 0, 0, 0)) +1735678800.0 +time.localtime(c1) +time.struct_time(tm_year=2025, tm_mon=10, tm_mday=1, tm_hour=15, tm_min=48, tm_sec=9, tm_wday=2, tm_yday=274, tm_isdst=0) +``` + +### 7. Графические функции. + +```py +import pylab +x = list(range(-3,55,4)) +t = list(range(15)) +pylab.plot(t,x) +[] +pylab.title('Первый график') +Text(0.5, 1.0, 'Первый график') +pylab.xlabel('время') +Text(0.5, 0, 'время') +pylab.ylabel('сигнал') +Text(0, 0.5, 'сигнал') +pylab.show() + +``` +![Graf1](Ris1.PNG) + +```py +X1=[12,6,8,10,7] +X2=[5,7,9,11,13] +pylab.plot(X1) +[] +pylab.plot(X2) +[] +pylab.show() +``` +![Graf2](Ris2.PNG) +```py +region=['Центр','Урал','Сибирь','Юг'] +naselen=[65,12,23,17] +pylab.pie(naselen,labels=region) +([, , , ], [Text(-0.191013134139045, 1.0832885038559115, 'Центр'), Text(-0.861328292412156, -0.6841882582231001, 'Урал'), Text(0.04429273995539947, -1.0991078896938387, 'Сибирь'), Text(0.9873750693480946, -0.48486129194837324, 'Юг')]) +pylab.show() +``` +![Graf3](Ris3.PNG) +### 8. Cтатистический модуль statistics. + +```py +import statistics +statistics.mean(numbers) +3 +statistics.median(numbers) +3 +numbers +[1, 2, 3, 4, 5] +statistics.stdev(numbers) +1.5811388300841898 +``` + +### 9. Закончен сеанс работы с IDLE. \ No newline at end of file