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Wieso funktionierte Cdate nicht für mich? Ich gebe grundsätzlich nicht so schnell auf und habe in den nächsten 12 Monaten Vieles ausprobiert. CDate hilft Dir dabei, Dich mit aufgeschlossenen Leuten in Deiner Nähe zu treffen, die wissen, was sie wollen. CDate ist die online Partnersuche für. Finden Sie bei CDate Dates ohne Verpflichtung in Österreich, ganz einfach & sicher. Jetzt kostenlos beim Testsieger registrieren und loslegen.Rescaling the left hand blue area vertically by the factor t and shrinking it by the same factor horizontally does not change its size. Therefore, the left hand blue area, which is the integral of f x from t to tu is the same as the integral from 1 to u.
This justifies the equality 2 with a more geometric proof. It is closely tied to the natural logarithm : as n tends to infinity , the difference,.
This relation aids in analyzing the performance of algorithms such as quicksort. There are also some other integral representations of the logarithm that are useful in some situations:.
The second identity can be proven by writing. Almost all real numbers are transcendental. The logarithm is an example of a transcendental function.
The Gelfond—Schneider theorem asserts that logarithms usually take transcendental, i. In general, logarithms can be calculated using power series or the arithmetic—geometric mean , or be retrieved from a precalculated logarithm table that provides a fixed precision.
This is a shorthand for saying that ln z can be approximated to a more and more accurate value by the following expressions:.
This series approximates ln z with arbitrary precision, provided the number of summands is large enough. In elementary calculus, ln z is therefore the limit of this series.
Another series is based on the area hyperbolic tangent function:. This series can be derived from the above Taylor series.
It converges more quickly than the Taylor series, especially if z is close to 1. The better the initial approximation y is, the closer A is to 1, so its logarithm can be calculated efficiently.
A can be calculated using the exponential series , which converges quickly provided y is not too large. A closely related method can be used to compute the logarithm of integers.
The arithmetic—geometric mean yields high precision approximations of the natural logarithm. Sasaki and Kanada showed in that it was particularly fast for precisions between and decimal places, while Taylor series methods were typically faster when less precision was needed.
Here M x , y denotes the arithmetic—geometric mean of x and y. The two numbers quickly converge to a common limit which is the value of M x , y.
A larger m makes the M x , y calculation take more steps the initial x and y are farther apart so it takes more steps to converge but gives more precision.
The constants pi and ln 2 can be calculated with quickly converging series. While at Los Alamos National Laboratory working on the Manhattan Project , Richard Feynman developed a bitprocessing algorithm that is similar to long division and was later used in the Connection Machine.
Any base may be used for the logarithm table. Logarithms have many applications inside and outside mathematics.
Some of these occurrences are related to the notion of scale invariance. For example, each chamber of the shell of a nautilus is an approximate copy of the next one, scaled by a constant factor.
This gives rise to a logarithmic spiral. For example, logarithms appear in the analysis of algorithms that solve a problem by dividing it into two similar smaller problems and patching their solutions.
Logarithmic scales are useful for quantifying the relative change of a value as opposed to its absolute difference.
Moreover, because the logarithmic function log x grows very slowly for large x , logarithmic scales are used to compress largescale scientific data.
Logarithms also occur in numerous scientific formulas, such as the Tsiolkovsky rocket equation , the Fenske equation , or the Nernst equation.
Scientific quantities are often expressed as logarithms of other quantities, using a logarithmic scale. For example, the decibel is a unit of measurement associated with logarithmicscale quantities.
It is based on the common logarithm of ratios —10 times the common logarithm of a power ratio or 20 times the common logarithm of a voltage ratio. It is used to quantify the loss of voltage levels in transmitting electrical signals, [61] to describe power levels of sounds in acoustics , [62] and the absorbance of light in the fields of spectrometry and optics.
The signaltonoise ratio describing the amount of unwanted noise in relation to a meaningful signal is also measured in decibels.
The strength of an earthquake is measured by taking the common logarithm of the energy emitted at the quake.
This is used in the moment magnitude scale or the Richter magnitude scale. For example, a 5. It measures the brightness of stars logarithmically.
Vinegar typically has a pH of about 3. Semilog log—linear graphs use the logarithmic scale concept for visualization: one axis, typically the vertical one, is scaled logarithmically.
For example, the chart at the right compresses the steep increase from 1 million to 1 trillion to the same space on the vertical axis as the increase from 1 to 1 million.
This is applied in visualizing and analyzing power laws. Logarithms occur in several laws describing human perception : [69] [70] Hick's law proposes a logarithmic relation between the time individuals take to choose an alternative and the number of choices they have.
Psychological studies found that individuals with little mathematics education tend to estimate quantities logarithmically, that is, they position a number on an unmarked line according to its logarithm, so that 10 is positioned as close to as is to Increasing education shifts this to a linear estimate positioning 10 times as far away in some circumstances, while logarithms are used when the numbers to be plotted are difficult to plot linearly.
Logarithms arise in probability theory : the law of large numbers dictates that, for a fair coin , as the number of cointosses increases to infinity, the observed proportion of heads approaches onehalf.
The fluctuations of this proportion about onehalf are described by the law of the iterated logarithm. Logarithms also occur in lognormal distributions.
When the logarithm of a random variable has a normal distribution , the variable is said to have a lognormal distribution.
Logarithms are used for maximumlikelihood estimation of parametric statistical models. For such a model, the likelihood function depends on at least one parameter that must be estimated.
The loglikelihood is easier to maximize, especially for the multiplied likelihoods for independent random variables.
Benford's law describes the occurrence of digits in many data sets , such as heights of buildings. Auditors examine deviations from Benford's law to detect fraudulent accounting.
Analysis of algorithms is a branch of computer science that studies the performance of algorithms computer programs solving a certain problem. For example, to find a number in a sorted list, the binary search algorithm checks the middle entry and proceeds with the half before or after the middle entry if the number is still not found.
This algorithm requires, on average, log 2 N comparisons, where N is the list's length. A constant factor is usually disregarded in the analysis of algorithms under the standard uniform cost model.
A function f x is said to grow logarithmically if f x is exactly or approximately proportional to the logarithm of x. Biological descriptions of organism growth, however, use this term for an exponential function.
In other words, the amount of memory needed to store N grows logarithmically with N. Entropy is broadly a measure of the disorder of some system.
In statistical thermodynamics , the entropy S of some physical system is defined as. The sum is over all possible states i of the system in question, such as the positions of gas particles in a container.
Moreover, p i is the probability that the state i is attained and k is the Boltzmann constant. Similarly, entropy in information theory measures the quantity of information.
If a message recipient may expect any one of N possible messages with equal likelihood, then the amount of information conveyed by any one such message is quantified as log 2 N bits.
Lyapunov exponents use logarithms to gauge the degree of chaoticity of a dynamical system. For example, for a particle moving on an oval billiard table, even small changes of the initial conditions result in very different paths of the particle.
Such systems are chaotic in a deterministic way, because small measurement errors of the initial state predictably lead to largely different final states.
Logarithms occur in definitions of the dimension of fractals. The Sierpinski triangle pictured can be covered by three copies of itself, each having sides half the original length.
Another logarithmbased notion of dimension is obtained by counting the number of boxes needed to cover the fractal in question.
Logarithms are related to musical tones and intervals. In equal temperament , the frequency ratio depends only on the interval between two tones, not on the specific frequency, or pitch , of the individual tones.
Accordingly, the frequency ratios agree:. The latter is used for finer encoding, as it is needed for nonequal temperaments.
Natural logarithms are closely linked to counting prime numbers 2, 3, 5, 7, 11, The logarithm of n factorial , n! This can be used to obtain Stirling's formula , an approximation of n!
All the complex numbers a that solve the equation. Such a number can be visualized by a point in the complex plane , as shown at the right.
The polar form encodes a nonzero complex number z by its absolute value , that is, the positive, real distance r to the origin , and an angle between the real x axis Re and the line passing through both the origin and z.
This angle is called the argument of z. The absolute value r of z is given by. Euler's formula connects the trigonometric functions sine and cosine to the complex exponential :.
Using this formula, and again the periodicity, the following identities hold: [98]. Therefore, the complex logarithms of z , which are all those complex values a k for which the a k th power of e equals z , are the infinitely many values.
The principal argument of any positive real number x is 0; hence Log x is a real number and equals the real natural logarithm.
However, the above formulas for logarithms of products and powers do not generalize to the principal value of the complex logarithm. This way the corresponding branch of the complex logarithm has discontinuities all along the negative real x axis, which can be seen in the jump in the hue there.
This discontinuity arises from jumping to the other boundary in the same branch, when crossing a boundary, i. Such a locus is called a branch cut.
Dropping the range restrictions on the argument makes the relations "argument of z ", and consequently the "logarithm of z ", multivalued functions.
Exponentiation occurs in many areas of mathematics and its inverse function is often referred to as the logarithm.
For example, the logarithm of a matrix is the multivalued inverse function of the matrix exponential. Both are defined via Taylor series analogous to the real case.
Its inverse is also called the logarithmic or log map. In the context of finite groups exponentiation is given by repeatedly multiplying one group element b with itself.
The discrete logarithm is the integer n solving the equation. Carrying out the exponentiation can be done efficiently, but the discrete logarithm is believed to be very hard to calculate in some groups.
This asymmetry has important applications in public key cryptography , such as for example in the Diffie—Hellman key exchange , a routine that allows secure exchanges of cryptographic keys over unsecured information channels.
Further logarithmlike inverse functions include the double logarithm ln ln x , the super or hyperlogarithm a slight variation of which is called iterated logarithm in computer science , the Lambert W function , and the logit.
Logarithmic functions are the only continuous isomorphisms between these groups. The logarithm then takes multiplication to addition log multiplication , and takes addition to log addition LogSumExp , giving an isomorphism of semirings between the probability semiring and the log semiring.
The polylogarithm is the function defined by. From Wikipedia, the free encyclopedia. Inverse of the exponential function, which maps products to sums.
Main article: List of logarithmic identities. Derivation of the conversion factor between logarithms of arbitrary base. Main article: History of logarithms.
Main article: Logarithmic scale. Four different octaves shown on a linear scale, then shown on a logarithmic scale as the ear hears them.
Main article: Complex logarithm. In his autobiography, Paul Halmos criticized what he considered the "childish ln notation," which he said no mathematician had ever used.
Math Vault. Retrieved 24 July John Napier and the invention of logarithms, ; a lecture. University of California Libraries. Theory of complex functions.
New York: SpringerVerlag. Introduction to Applied Mathematics for Environmental Science illustrated ed.
December Information Processing Letters. Principles of mathematical analysis 3rd ed. Auckland: McGrawHill International.
Retrieved 14 February Mathematics and Its History 3rd ed. Sets, functions, and logic: an introduction to abstract mathematics.
It is also possible to work with different timeszones by using gmtime to convert calendar time to UTC. Take a look at the following example:.
It is also possible to use clock ticks elapsed since the start of the program in your own programs by using the function clock.
For instance you can build a wait function or use it in your frame per second FPS function. As you can see there are many ways to use time and dates in your programs.
You never know when it time to use time functions in your programs, so learn them or at least play with them by making some example programs of your own.
Also take a look at our C language calendar tutorial for a more advance use of the things explained in this tutorial. Thanks for sharing but I have problem to enter different date and time value from the computer date and time.
I could not find where time ; function is defined. Hope it answers your question. What is the date of the next day? The hard answer is: you have to take the number of days of the month your into account.
So your calculation get harder. Note: a leap year does not strictly fall on every fourth year. If a year is divisible by 4, then it is a leap year, but if that year is divisible by , then it is not a leap year.
However, if the year is also divisible by , then it is a leap year. The best thing you can do is to create a calendar function for yourself.
If I have some time tomorrow I will post a example. As promised in the previous comment, we have created a calendar tutorial that you can find here.
I would like to measure 24 hrs on my machine without waiting for 24 hrs…… is it possible? By making some useless calculation in loop.
Sanket It all depends what you are trying to do. For example do you need precision or is an approximation alright. For more precision you can find tools like libfaketime online.
On the site you also find the source code of the faketime library. For an approximation result, you can use something like the example below: note: just a quick and dirty example, no error checking, etc.
I want to create and display a countdown timer that displays 60 seconds or less. I need to be able to set the number of seconds, for the initial display, and have a start and stop button to start or stop the timer.
I want the timer to display a digital countdown of the seconds in real time. In other words the time display would start at 60 seconds or less and replace each number with the descending next whole number all the way to zero or double zero.
I hope you can use the example to solve your own problem. Good Luck! For delays of multiple seconds, your best bet is probably to use sleep. For delays of at least tens of milliseconds about 10 ms seems to be the minimum delay , usleep should work.
See the manual pages sleep 3 and usleep 3 for details. Take a look at this page that has more about high resolution timing on Linux.
Hi, thanks for this useful article. Tried the following snippet — after mktime returns, it increments. Thanks in advance.
Within my program i have the following In each case i use the localtime function to extract the time data and display, this process seems to work fine for the zone time differrence e.
A day will be incremented like that…. How can I write a delay function in C using system clock? Any Idea? Please help me.. Second, include Windows. Third the minimum supported client is Windows Professional and the minimum supported server is Windows Server.
More information on Windows time function you can find here. I hope it helps! Many thanks for this! If i may criticise one point — your timezones example has the potential to go over midnight, and even negative.
Logarithmic scales reduce wideranging quantities to tiny scopes. For example, the decibel dB is a unit used to express ratio as logarithms , mostly for signal power and amplitude of which sound pressure is a common example.
In chemistry, pH is a logarithmic measure for the acidity of an aqueous solution. Logarithms are commonplace in scientific formulae , and in measurements of the complexity of algorithms and of geometric objects called fractals.
They help to describe frequency ratios of musical intervals , appear in formulas counting prime numbers or approximating factorials , inform some models in psychophysics , and can aid in forensic accounting.
In the same way as the logarithm reverses exponentiation , the complex logarithm is the inverse function of the exponential function, whether applied to real numbers or complex numbers.
The modular discrete logarithm is another variant; it has uses in publickey cryptography. Addition , multiplication , and exponentiation are three of the most fundamental arithmetic operations.
Multiplication, the nextsimplest operation, is undone by division : if you multiply x by 5 to get 5 x , you then can divide 5 x by 5 to return to the original expression x.
Logarithms also undo a fundamental arithmetic operation, exponentiation. Exponentiation is when you raise a number to a certain power.
For example, raising 2 to the power 3 equals 8 :. The general case is when you raise a number b to the power of y to get x :.
The number b is referred to as the base of this expression. It is easy to make the base the subject of the expression: all you have to do is take the y th root of both sides.
This gives:. It is less easy to make y the subject of the expression. Logarithms allow us to do this:. This expression means that y is equal to the power that you would raise b to, to get x.
This operation undoes exponentiation because the logarithm of x tells you the exponent that the base has been raised to. This subsection contains a short overview of the exponentiation operation, which is fundamental to understanding logarithms.
Raising b to the n th power, where n is a natural number , is done by multiplying n factors equal to b. The n th power of b is written b n , so that.
Exponentiation may be extended to b y , where b is a positive number and the exponent y is any real number. Finally, any irrational number a real number which is not rational y can be approximated to arbitrary precision by rational numbers.
The logarithm of a positive real number x with respect to base b [nb 1] is the exponent by which b must be raised to yield x. In other words, the logarithm of x to base b is the solution y to the equation [5].
Several important formulas, sometimes called logarithmic identities or logarithmic laws , relate logarithms to one another. The logarithm of a product is the sum of the logarithms of the numbers being multiplied; the logarithm of the ratio of two numbers is the difference of the logarithms.
The logarithm of the p th power of a number is p times the logarithm of the number itself; the logarithm of a p th root is the logarithm of the number divided by p.
The following table lists these identities with examples. The logarithm log b x can be computed from the logarithms of x and b with respect to an arbitrary base k using the following formula:.
Typical scientific calculators calculate the logarithms to bases 10 and e. Among all choices for the base, three are particularly common.
In mathematical analysis , the logarithm base e is widespread because of analytical properties explained below. On the other hand, base logarithms are easy to use for manual calculations in the decimal number system: [8].
The next integer is 4, which is the number of digits of Both the natural logarithm and the logarithm to base two are used in information theory , corresponding to the use of nats or bits as the fundamental units of information, respectively.
The following table lists common notations for logarithms to these bases and the fields where they are used. In computer science log usually refers to log 2 , and in mathematics log usually refers to log e.
The history of logarithm in seventeenthcentury Europe is the discovery of a new function that extended the realm of analysis beyond the scope of algebraic methods.
The common logarithm of a number is the index of that power of ten which equals the number. Some of these methods used tables derived from trigonometric identities.
Archimedes had written The Quadrature of the Parabola in the third century BC, but a quadrature for the hyperbola eluded all efforts until SaintVincent published his results in The relation that the logarithm provides between a geometric progression in its argument and an arithmetic progression of values, prompted A.
Soon the new function was appreciated by Christiaan Huygens , and James Gregory. Before Euler developed his modern conception of complex natural logarithms, Roger Cotes had a nearly equivalent result when he showed in that [30].
By simplifying difficult calculations before calculators and computers became available, logarithms contributed to the advance of science, especially astronomy.
They were critical to advances in surveying , celestial navigation , and other domains. PierreSimon Laplace called logarithms. A key tool that enabled the practical use of logarithms was the table of logarithms.
Briggs' first table contained the common logarithms of all integers in the range 1—, with a precision of 14 digits.
Subsequently, tables with increasing scope were written. Base logarithms were universally used for computation, hence the name common logarithm, since numbers that differ by factors of 10 have logarithms that differ by integers.
The common logarithm of x can be separated into an integer part and a fractional part , known as the characteristic and mantissa. Tables of logarithms need only include the mantissa, as the characteristic can be easily determined by counting digits from the decimal point.
Thus using a threedigit log table, the logarithm of is approximated by. Greater accuracy can be obtained by interpolation :.
The value of 10 x can be determined by reverse look up in the same table, since the logarithm is a monotonic function.
The product and quotient of two positive numbers c and d were routinely calculated as the sum and difference of their logarithms.
For manual calculations that demand any appreciable precision, performing the lookups of the two logarithms, calculating their sum or difference, and looking up the antilogarithm is much faster than performing the multiplication by earlier methods such as prosthaphaeresis , which relies on trigonometric identities.
Calculations of powers and roots are reduced to multiplications or divisions and lookups by. Trigonometric calculations were facilitated by tables that contained the common logarithms of trigonometric functions.
Another critical application was the slide rule , a pair of logarithmically divided scales used for calculation. The nonsliding logarithmic scale, Gunter's rule , was invented shortly after Napier's invention.
William Oughtred enhanced it to create the slide rule—a pair of logarithmic scales movable with respect to each other.
Numbers are placed on sliding scales at distances proportional to the differences between their logarithms. Sliding the upper scale appropriately amounts to mechanically adding logarithms, as illustrated here:.
For example, adding the distance from 1 to 2 on the lower scale to the distance from 1 to 3 on the upper scale yields a product of 6, which is read off at the lower part.
The slide rule was an essential calculating tool for engineers and scientists until the s, because it allows, at the expense of precision, much faster computation than techniques based on tables.
A deeper study of logarithms requires the concept of a function. A function is a rule that, given one number, produces another number. A proof of that fact requires the intermediate value theorem from elementary calculus.
A function is continuous if it does not "jump", that is, if its graph can be drawn without lifting the pen. The function that assigns to y its logarithm is called logarithm function or logarithmic function or just logarithm.
The formula for the logarithm of a power says in particular that for any number x ,. In prose, taking the x th power of b and then the base b logarithm gives back x.
Conversely, given a positive number y , the formula. Thus, the two possible ways of combining or composing logarithms and exponentiation give back the original number.
Inverse functions are closely related to the original functions. As a consequence, log b x diverges to infinity gets bigger than any given number if x grows to infinity, provided that b is greater than one.
In that case, log b x is an increasing function. Analytic properties of functions pass to their inverses. Roughly, a continuous function is differentiable if its graph has no sharp "corners".
It is this very simple formula that motivated to qualify as "natural" the natural logarithm; this is also one of the main reasons of the importance of the constant e.
The derivative with a generalised functional argument f x is. The quotient at the right hand side is called the logarithmic derivative of f.
Computing f' x by means of the derivative of ln f x is known as logarithmic differentiation. Related formulas , such as antiderivatives of logarithms to other bases can be derived from this equation using the change of bases.
The right hand side of this equation can serve as a definition of the natural logarithm. Product and power logarithm formulas can be derived from this definition.
In the illustration below, the splitting corresponds to dividing the area into the yellow and blue parts. Rescaling the left hand blue area vertically by the factor t and shrinking it by the same factor horizontally does not change its size.
Therefore, the left hand blue area, which is the integral of f x from t to tu is the same as the integral from 1 to u.
This justifies the equality 2 with a more geometric proof. It is closely tied to the natural logarithm : as n tends to infinity , the difference,.
This relation aids in analyzing the performance of algorithms such as quicksort. There are also some other integral representations of the logarithm that are useful in some situations:.
The second identity can be proven by writing. Almost all real numbers are transcendental. The logarithm is an example of a transcendental function.
The Gelfond—Schneider theorem asserts that logarithms usually take transcendental, i. In general, logarithms can be calculated using power series or the arithmetic—geometric mean , or be retrieved from a precalculated logarithm table that provides a fixed precision.
This is a shorthand for saying that ln z can be approximated to a more and more accurate value by the following expressions:.
This series approximates ln z with arbitrary precision, provided the number of summands is large enough. In elementary calculus, ln z is therefore the limit of this series.
Another series is based on the area hyperbolic tangent function:. This series can be derived from the above Taylor series. It converges more quickly than the Taylor series, especially if z is close to 1.
The better the initial approximation y is, the closer A is to 1, so its logarithm can be calculated efficiently.
A can be calculated using the exponential series , which converges quickly provided y is not too large. A closely related method can be used to compute the logarithm of integers.
The arithmetic—geometric mean yields high precision approximations of the natural logarithm. Sasaki and Kanada showed in that it was particularly fast for precisions between and decimal places, while Taylor series methods were typically faster when less precision was needed.
Here M x , y denotes the arithmetic—geometric mean of x and y. The two numbers quickly converge to a common limit which is the value of M x , y.
A larger m makes the M x , y calculation take more steps the initial x and y are farther apart so it takes more steps to converge but gives more precision.
The constants pi and ln 2 can be calculated with quickly converging series. While at Los Alamos National Laboratory working on the Manhattan Project , Richard Feynman developed a bitprocessing algorithm that is similar to long division and was later used in the Connection Machine.
Any base may be used for the logarithm table. Logarithms have many applications inside and outside mathematics. Some of these occurrences are related to the notion of scale invariance.
For example, each chamber of the shell of a nautilus is an approximate copy of the next one, scaled by a constant factor. This gives rise to a logarithmic spiral.
For example, logarithms appear in the analysis of algorithms that solve a problem by dividing it into two similar smaller problems and patching their solutions.
Logarithmic scales are useful for quantifying the relative change of a value as opposed to its absolute difference.
Moreover, because the logarithmic function log x grows very slowly for large x , logarithmic scales are used to compress largescale scientific data.
Logarithms also occur in numerous scientific formulas, such as the Tsiolkovsky rocket equation , the Fenske equation , or the Nernst equation.
Scientific quantities are often expressed as logarithms of other quantities, using a logarithmic scale. For example, the decibel is a unit of measurement associated with logarithmicscale quantities.
It is based on the common logarithm of ratios —10 times the common logarithm of a power ratio or 20 times the common logarithm of a voltage ratio.
It is used to quantify the loss of voltage levels in transmitting electrical signals, [61] to describe power levels of sounds in acoustics , [62] and the absorbance of light in the fields of spectrometry and optics.
The signaltonoise ratio describing the amount of unwanted noise in relation to a meaningful signal is also measured in decibels.
The strength of an earthquake is measured by taking the common logarithm of the energy emitted at the quake.
This is used in the moment magnitude scale or the Richter magnitude scale. For example, a 5. When W3C logging is enabled on the server session it functions as centralized form of logging for all the URL groups under the server session.
A single log file is maintained for all of the URL groups in the server session. The "Appears As" column contains the text that appears in the log file.
The data in the table is in the order of occurrence in the log file record. The field prefixes in the file are defined as follows:.
The application can select one or more of the W3C Extended log file fields, however, not all fields will contain information.
For fields that are selected but for which there is no information, a hyphen  appears as a placeholder. Fields are separated by spaces. If a field is enabled by the URL group or server session, but not selected for the request, it appears in the log file with a hyphen  as a placeholder.
Log files are created when the first request arrives on the URL Group or server session, they are not created when logging is configured.
The timetaken timestamp is stopped when the last send completion occurs. Timetaken does not reflect time across the network.
The first request to the site shows a slightly longer time taken than other similar requests because the HTTP Server API opens the log file with the first request.
C Date Log In Video
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