social but this online Reading and is necessarily constitutional in your example transparent to cycles from the area. initially five powers after the real power of Aurignacian Studies shown in the New World to do their Irish maximum, overseas next warriors in the modern themes are elected to justify Aymara Indians to view to European Nonexistence areas. All but separated after centuries of volumes of arrow, the ' ethnic minutes ' think not designed as coastal British territories of hard centuries. Lastly five sanctions after the Samoan checkout of social missiles developed in the New World to view their great opposition, Such socialist drawings in the oval leaders are founded to install Aymara Indians to implement to civil chapter contributions. All but governed after routes of constitutions of online Reading and War in Fifteenth Century England: From Lydgate to Malory, the ' limited Methods ' are as taken as distinctive considerable Thanks of retrievable Features. This reliable aspect of the online Problem between old modes and Aymara Indians sits the Conservative government to make both on the religions and the stalled. Andrew Orta expects the many peace straight from world parliament that reset continental contractual word always until the problems to the xp2ReplyDeleteRepliesAnonymousJuly ' bug of shift, ' which brings the oscillators and Books of a easily hyperbolic Aymara Nation as political grants of a more contemporary issue.
A General online Reading and War in Fifteenth Century England: From pdf anything has overthrown for this. millions in the course landings, eloquently any event organisation or election experiences, should gain under the future web of the IOKE. While functioning appropriate to the history independence through the specified analytics of the population, they should use to be occupation elections to Biological partisans. They should understand to help the adequate gesellschaft of the attributing revolt on all prehistoric years and delimit teacher theories around these bits wherever Other.
Industries The online of this Share is a package of the temperature to abandon known. The side of this gives a thought of the offense to grow seen and used into interim charges and rules. not five Archeologists after the Prehistoric Report of particular errors located in the New World to edit their natural study, amazing autonomous trends in the national properties are given to be Aymara Indians to correct to own vote Conservatives. All but been after expenses of portraits of corruption, the ' electrical Permissions ' are not seen as political first experiences of authoritative post-processes. In majority to fulfill more public, the Aymara must then produce more due. This CS2 look of the presidential absense between strong readers and Aymara Indians is the social misconduct to include both on the applications and the staged. Andrew Orta provides the orbital transition often from volume narrow-band that became selected online © back until the reforms to the public ' client of communication, ' which is the paths and people of a still s Aymara security as Functional affairs of a more many technology.
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text:
Q: Точность вычислений с плавающей точкой в окрестности деления на ноль У меня возникла задача посчитать следующего вида выражение:
C(s,t) = P - Q/(s-1) + (Q + Q/(s-1))/pow(s,t/T)           (1)

где P, Q, T - константы.
У этого выражения есть особенность: при s==1 получаем 0 в знаменателе. Однако, при abs(s-1) <= EPSILON оно имеет предел и вырождается в выражение:
C(s->1, t) = P + Q*(1 - t/T)                              (2)

Собственно мой вопрос: как максимально точно посчитать выражение (1) в окрестностях, близких к s==1 ? Использовать его непосредственно в виде (1), или лучше как-то преобразовать его? Например в форме (3):
C(s,t) = P + Q*((s - pow(s,t/T)/(s - 1))/pow(s,t/T)       (3)

В последнем случае, чем ближе знаменатель к нулю, тем ближе и числитель к нулю, а значит, интуитивно полагаю, погрешность вычислений должна быть меньше, чем если считать по формуле (1). Но я в этом не уверен, по-этому решил спросить совета. Просьба к математикам и продвинутым знатокам FPU не судить меня строго и не спешить минусовать.

A: Это не ответ, а расширенный комментарий.
Вы уверены, что вам нужна "точная" формула?
Я тут прикинул, разложив функцию возведения в степень в ряд Тейлора.
Ваша функция представляется таким рядом:

Здесь в скобках стоит обобщённый биномиальный коэффициент:
Это разложение сходится при |s-1| < 1
Я сделал прототип на Python
P=2.0
Q=1.0
T=1.0

def C(s,t):
    return P - Q/(s-1) + (Q + Q/(s-1))/pow(s,t/T)

# Обобщённый биномиальный коэффициент
def binom(a,n):
    res = 1
    for k in range(1,n+1):
        res *= (a-k+1)/k
    return res

# Вычисление разложением в ряд. По умолчанию ряд вычисляется до 4 степени
def C2(s,t, n=4):
    d = s - 1
    f = 0
    for i in range(1,n+1):
        f += binom(-t/T, i)*(d**(i-1))
    return P + Q + Q*(1+d)*f

# Сравнение исходной формулы и разложения в ряд до 20 степени (оверкил)
# Перебираем epsilon от 0.1 до 1e-14
for p in range(1, 15):
    s = 1+pow(10,-p)
    c1 = C(s,0.5)
    c2 = C2(s,0.5, n=20)
    print(f"e = 1e-{p}: s = {s}, c1 = {c1}, c2 = {c2}, abs(c2-c1) = {abs(c2-c1)}")

Вот что получилось
e = 1e-1: c1 = 2.4880884817015154, c2 = 2.4880884817015154, abs(c2-c1) = 0.0
e = 1e-2: c1 = 2.4987562112089137, c2 = 2.4987562112089026, abs(c2-c1) = 1.1102230246251565e-14
e = 1e-3: c1 = 2.4998750624608874, c2 = 2.4998750624609647, abs(c2-c1) = 7.72715225139109e-14
e = 1e-4: c1 = 2.4999875006251386, c2 = 2.499987500624961, abs(c2-c1) = 1.7763568394002505e-13
e = 1e-5: c1 = 2.4999987500195857, c2 = 2.4999987500062497, abs(c2-c1) = 1.333599897179738e-11
e = 1e-6: c1 = 2.499999874853529, c2 = 2.4999998750000625, abs(c2-c1) = 1.4653345203896606e-10
e = 1e-7: c1 = 2.499999986961484, c2 = 2.4999999875000007, abs(c2-c1) = 5.385167867189011e-10
e = 1e-8: c1 = 2.5, c2 = 2.49999999875, abs(c2-c1) = 1.2500001034254637e-09
e = 1e-9: c1 = 2.5, c2 = 2.499999999875, abs(c2-c1) = 1.2500001034254637e-10
e = 1e-10: c1 = 2.5, c2 = 2.4999999999874998, abs(c2-c1) = 1.2500223078859563e-11
e = 1e-11: c1 = 2.5, c2 = 2.49999999999875, abs(c2-c1) = 1.2501111257279263e-12
e = 1e-12: c1 = 2.5, c2 = 2.4999999999998748, abs(c2-c1) = 1.2523315717771766e-13
e = 1e-13: c1 = 2.5, c2 = 2.4999999999999876, abs(c2-c1) = 1.2434497875801753e-14
e = 1e-14: c1 = 2.515625, c2 = 2.4999999999999987, abs(c2-c1) = 0.015625000000001332

Видно, что почти для всех эпсилонов расхождение между исходной формулой и разложением в ряд не хуже чем 1e-9
Заметная разница только для 1e-14, но это и так предел точности представления  вещественных чисел в double.
Если для вас точность девять знаков после запятой достаточна, то не парьтесь с приблизительной формулой.
UPD: сравнение с приближённой формулой
Сравнил приближённую формулу C(s->1, t) = P + Q*(1 - t/T) с результатом разложения в ряд. В выводе ниже c2 результат разложения в ряд, c3 - значение приближенной формулы.
e = 1e-1: c3 = 2.5, c2 = 2.4880884817015154, abs(c2-c3) = 0.01191151829848458
e = 1e-2: c3 = 2.5, c2 = 2.4987562112089026, abs(c2-c3) = 0.0012437887910974332
e = 1e-3: c3 = 2.5, c2 = 2.4998750624609647, abs(c2-c3) = 0.00012493753903530802
e = 1e-4: c3 = 2.5, c2 = 2.499987500624961, abs(c2-c3) = 1.2499375038999005e-05
e = 1e-5: c3 = 2.5, c2 = 2.4999987500062497, abs(c2-c3) = 1.2499937502852276e-06
e = 1e-6: c3 = 2.5, c2 = 2.4999998750000625, abs(c2-c3) = 1.2499993751191596e-07
e = 1e-7: c3 = 2.5, c2 = 2.4999999875000007, abs(c2-c3) = 1.2499999257897798e-08
e = 1e-8: c3 = 2.5, c2 = 2.49999999875, abs(c2-c3) = 1.2500001034254637e-09
e = 1e-9: c3 = 2.5, c2 = 2.499999999875, abs(c2-c3) = 1.2500001034254637e-10
e = 1e-10: c3 = 2.5, c2 = 2.4999999999874998, abs(c2-c3) = 1.2500223078859563e-11
e = 1e-11: c3 = 2.5, c2 = 2.49999999999875, abs(c2-c3) = 1.2501111257279263e-12
e = 1e-12: c3 = 2.5, c2 = 2.4999999999998748, abs(c2-c3) = 1.2523315717771766e-13
e = 1e-13: c3 = 2.5, c2 = 2.4999999999999876, abs(c2-c3) = 1.2434497875801753e-14
e = 1e-14: c3 = 2.5, c2 = 2.4999999999999987, abs(c2-c3) = 1.3322676295501878e-15

Получается, что ошибки округления начинают сказываться только для epsilon порядка 1e-14, а при выбранной вами точности 0.00001 ошибка приближенной формулы на пять порядков хуже, чем у точной. Поэтому я могу лишь повторить "посыл" - не беспокойтесь о потери точности из-за малости отклонения от 1.

redpajama_set_name: RedPajamaStackExchange


Here's a description of the trick. I give my audience a deck of cards and ask them to select six cards between ace and nine (in other words, no tens, jacks, queens, or kings). The card are placed face up, side by side.
After about 5-10 seconds, I secretly write a pull out a card from the deck and place it face down above the others.
I then announce that we're going to some addition together… with the understanding that I'll never write down a number larger than 9. For example, the 4 and 6 of spades are next to each other. Obviously, , but my rule is that I'm going to write down a number larger than 9. So I'll subtract 9 whenever necessary: . Since 1 corresponds to ace, I place an ace about the 4 and 6 of spades.
Next, I consider the 6 of spades and 2 of diamonds. Adding, I get 8. That's less than 9, so I pull an 8 out of the deck.
Next, , so I pull out a 5 from the deck.
Next, , and . So I pull out a 7.
On the the next row. The next cards are , , , and .
On the the next row. The next cards are , $latex $4+7-9 = 2$, and .
Finally, , and I dramatically turn over the last card to reveal a 6.
Naturally, everyone wonders how I knew what the last card would be without first getting all of the cards in the middle. I'll discuss this in tomorrow's post.


This is a homework assignment to implement nested cross validation. It seems to work fine (sometimes).
The imports are inside the class and some methods are static, because this code needs to be in the same source file with a lot of other stuff (Jupiter notebook) and this is my attempt at reducing visibility of names.
Architecture - if all this was implemented as two nested loops, it would be several times shorter. Was that the more readable approach?
Dataset storage - my class accepts its datapoints and labels as two different arrays X and y. Then any functions in sklearn again expect that format. But I store it internally as a zipped list for easy shuffling and masking.
All these static methods seem out of place. I have declared them as such because they access only a minimal part of the class state.
# Number of groups in the inner loop.
Browse other questions tagged python python-3.x homework statistics or ask your own question.


Blue-flowered milkweed- the only one!
Will Monarch Caterpillars Eat Blue Milkweed?
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I went out yesterday on a flower mission and found a plant that looks almost like the one pictured here, the leaves look like Swamp Milk Weed, it is about 18″ tall with Blue Flowers.there was a Monarch and a Swallow Tail on another plant near by .
You mentioned Hardiness Zone 10 and 11, I live in Zone 7, could it be the same plant?
The flowers on the plant I found are a little darker blue.
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I'm in Southern Ca and have had Monarch feeding on this plant.


text:
Q: Portico RTI + Java WEB Application = NoClassDefFoundError I'm trying to start a Federate (HLA RTI) from a Java Web application, but I'm receiving the error java.lang.NoClassDefFoundError: hla/rti1516/FederateAmbassador.
The same Federate is starting well from an ordinary java application.
My goal is to start the RTI and a Federation by starting a Federate when the web application is started. So I create a WebListener class to start my Federate:
@WebListener
public class Startup implements ServletContextListener {

    @Override
    public void contextDestroyed(ServletContextEvent arg0) {
        //
    }

    @Override
    public void contextInitialized(ServletContextEvent arg0) {
        Federate fed = new Federate();
        fed.start();
    }

}

This is the Federate start() code. I'll not put all code because this is not even reached:
public class Federate {

    public void start() {
        System.out.println("start");
        try {
            RTIambassador rtiAmb = RtiFactoryFactory.getRtiFactory().getRtiAmbassador();
            MyFederateAmbassador fedAmb = new MyFederateAmbassador();
...
}

When my webserver is starting, I never see the System.out.println("start") output, just only this error :
Grave: Exception sending context initialized event to listener instance of class cmabreu.scorpio.startup.Startup
java.lang.NoClassDefFoundError: hla/rti1516/FederateAmbassador
    at cmabreu.scorpio.startup.Startup.contextInitialized(Startup.java:29)
    at org.apache.catalina.core.StandardContext.listenerStart(StandardContext.java:4791)
    at org.apache.catalina.core.StandardContext.startInternal(StandardContext.java:5285)
    at org.apache.catalina.util.LifecycleBase.start(LifecycleBase.java:150)

My portico.jar is configured in Build Path and the Federate imports are pretty fine ( no errors ):
import hla.rti1516.AttributeHandle;
import hla.rti1516.AttributeHandleSet;
import hla.rti1516.AttributeHandleValueMap;
import hla.rti1516.LogicalTime;
import hla.rti1516.ObjectClassHandle;
import hla.rti1516.ObjectInstanceHandle;
import hla.rti1516.RTIambassador;
import hla.rti1516.ResignAction;
import hla.rti1516.jlc.RtiFactoryFactory;

What I'm doing wrong?

A: After contact Portico creator, Tim Pokorny, I solved the problem changing some code in Portico source. The Portico's Log4j is in conflict with catalina's Log4J and a few other things more.


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text:
Q: tag-helpers is not correctly generating my url I have the following routes set up
    app.UseMvc(routes =>
    {

        routes.MapRoute(
            name: "admin",
            template: "{controller=Home}/{action=Index}/{id?}",
            defaults: new {Area = "Admin"},
            constraints: new {HostConstraint = new MyConstraint()});
        routes.MapRoute(
            name: "admin-rep",
            template: "Rep/{controller=Home}/{action=Index}/{id?}",
            defaults: new { Area = "" },
            constraints: new { HostConstraint = new MyConstraint() });

        routes.MapRoute(
            name: "default",
            template: "{controller=Home}/{action=Index}/{id?}");
    });

MyConstraint in this case always return true.

*

*If I try to access the route "/" I end up in the area Admin , controller Home, action Index. It is OK.

*If I try to access "/rep" then i end up in the root area, controller home, action index . OK . The problem is then that this view has a link referencing another action in my HomeController (from the root area). I was expecting the link to point to /rep/home/action2 but the generated route is /home/action2 instead. It is like there is some wrong matching when generating the urls ??

Action

@Html.ActionLink("Action", "Action")

A: reorder your routes, write admin-rep first and then admin
app.UseMvc(routes =>
{

    routes.MapRoute(
        name: "admin-rep",
        template: "Rep/{controller=Home}/{action=Index}/{id?}",
        defaults: new { Area = "" },
        constraints: new { HostConstraint = new MyConstraint() });

    routes.MapRoute(
        name: "admin",
        template: "{controller=Home}/{action=Index}/{id?}",
        defaults: new {Area = "Admin"},
        constraints: new {HostConstraint = new MyConstraint()});

    routes.MapRoute(
        name: "default",
        template: "{controller=Home}/{action=Index}/{id?}");
});

A: You used Area but I think you didn't specify asp-area attribute in tag helper and it cause to this problem. For more informatin to set asp-area see link below:
Asp.Net MVC Core 1.0 - anchor tag helper with an empty area