the following description is provided to enable any person skilled in the art to make and use the invention and sets forth the best modes contemplated by the inventor of carrying out his invention . various modifications , however , will remain readily apparent to those skilled in the art , since the generic principles of the present invention have been defined herein specifically to provide an efficient x - ray analyzer system and method of increasing a response time of the analyzer system . referring to fig7 an example of an x - ray analyzer is disclosed which can be programmed to provide the benefits of the present invention . an x - ray tube 2 can direct primary x - rays 3 towards a sample 1 . secondary x - rays 7 such as , for example , fluorescent x - rays 5 and scattered x - rays 6 , are emitted from the sample when the primary x - rays 3 are incident upon the sample 1 . the secondary x - rays are characteristic of the elements contained in the sample 1 . the proportional counter 4 can be operated by applying a predetermined high voltage from a high voltage source 8 , and is capable of outputting an ( ev ) quantity of charges proportional to the energy of the detected x - rays . an amplifier 9 can suitably amplify the output from the proportional counter 4 . this output can then be converted by an a / d converter to provide a digital signal . a multichannel analyzer ( mca ) 11 is capable of memorizing a predetermined number of output signals from the a / d converter 10 and to carry out a statistical analysis of these stored signals . a cpu 12 is capable of processing the single output from mca 11 to determine the constituent elements in the sample . an operator controller 14 permits the operator to set conditions for a measurement of a predetermined concentration amount of an element at a predetermined probability of accuracy . the operator can set these conditions for one or more elements which can be stored in a ram associated with the controller 14 . thus , the operator can subjectively set a predetermined probability of accuracy that is desired for any particular sample run and a maximum measurement time period . a display 16 can display the results of the calculations by the cpu 12 , and the operator controller 14 can permit the operator to also manually stop the measurement cycle if the operator determines that the results are satisfactory . a printer ( not shown ) can be used for providing a hard copy of the analysis . in an automatic mode of operation , the cpu 12 can be programmed to not only determine the concentration of an element from the measured x - rays 5 and 6 , but can further compare the results with the preset measurement values stored in the ram . when these values are matched or exceeded , the measurement operation can be terminated and the results can be provided to the operator , for example , on a video monitor 16 . as can be appreciated , variations of this x - ray analyzer can be accomplished . reference is made to u . s . pat . no . 5 , 179 , 580 , which is incorporated herein by reference as an example of other features which can be incorporated into the x - ray analyzer . referring to fig1 a flow chart is disclosed setting forth the steps that can be programmed for the cpu 14 to automatically complete a measurement when a calculated value at a desired probability of accuracy is achieved . one possible application of the invention is in measuring the concentration ( wt %: x % by weight ) of sulfur contained in fuel oils such as heavy oil . as can be appreciated , environmental concerns require a close monitoring of the emission of sulfur into the air . thus , verifying the sulfur content of a heavy fuel oil to ensure that it meets certain standards is important . such measurements with a fluorescent x - ray analytical apparatus can be achieved as shown in fig1 by first setting the measuring conditions for the concentration of the desired amount of the sulfur by weight in the fuel oil . this is accomplished in step 101 , and can be input into the computer 12 by the operator controller 14 . it may also be desired that the maximum measurement time period be set , for example , to 10 minutes or 600 seconds . the measurement cycle is then started at step 102 . in step 103 , the concentration of sulfur contained in the heavy oil sample and its accuracy or error rate are calculated , as will be subsequently described . for example , the concentration of sulfur x and the accuracy of that specific determination of concentration ( σ x ) is calculated by conducting an operation using the following expressions ( 1 ) and ( 2 ), respectively : wherein a , b are calibration curve constants , d being a counting of scattered x - rays , and f being a counting of fluorescent x - rays characteristic of sulfur . in operation , the values d and f can be determined from a spectrum of energy measured by a proportional counter so that the area of the energy spectrum can be used with appropriate known x - ray filters to distinguish the peaks of the respective x - rays . the calibration curve constants can be derived from measurements of samples of known concentrations of sulfur . as a result of these calculations ( 1 ) and ( 2 ), the concentration x and 2 . 58 σ x at the present point of time can be displayed on a displaying picture 1 of the lcd at any time , as shown in fig3 . in addition , 2 . 58 is a multiplying value for expanding the range of the sections so as to ensure a probability of 99 %. the value 2 . 58 is derived from a statistical method and represents a value necessary to achieve a probability of 99 % that the sample will have a concentration of sulfur of x = 0 . 8766 in equation ( 1 ). reference can be made to radiation detection and measurement by glenn f . knoll , published by john wiley & amp ; sons , inc . ( 1979 ), incorporated herein by reference , for further information on the statistical derivations of this value . if the desired probability was 90 %, then σ x would be multiplied by 1 . 64 . for a probability of 68 % the value would be 1 , and for a probability of 50 % the value would be 0 . 67 . repetitively , the above - described calculations of the concentrations and the probability of accuracy for the concentrations are conducted by the cpu 14 to complete the measurement cycle until these calculated values amount to the previously - appointed values so that the results of the concentrations and the accuracy for the same are obtained . it is judged in step 104 whether the concentration of sulfur x is the standard value ( 1 wt %) or less at a probability of 99 % or more ( a ). in other words , it is judged from the measuring conditions inputted in step 101 whether the following equation ( 3 ) holds good or not . in the case where it is judged in step 104 that the calculated values are the standard value or less , the measurement is automatically completed ( refer to step 107 ). on the other hand , in the case where the calculated values are not the standard value or less in step 104 , it is judged , as a standard for judging the calculated values , in the following step 105 whether or not the concentration of sulfur x exceeds the standard value ( 1 wt %) at a probability of 99 % or more ( b ). in other words , it is judged from the measuring conditions inputted in step 101 whether the following equation ( 4 ) holds good or not . in the case where it was judged in step 105 that the calculated values exceed the standard value , the measurement is automatically completed ( refer to step 107 ). in the case where it was judged in step 105 that the calculated values do not exceed the standard values , it is judged , as a standard for judging the calculated values , in the following step 106 whether or not the measuring time t exceeds the maximum value t max of 600 seconds ( c ). thus , from the measuring conditions inputted in step 101 , it is determined if the following equation ( 5 ) holds good or not . in the case where it was judged in step 106 that the measuring time t exceeds 600 seconds , the measurement is automatically completed ( refer to step 107 ). in summary , if any one of the expressions ( 3 ), ( 4 ), or ( 5 ) holds good , the measurement is automatically completed . in the other cases , the measurement is returned to step 103 to repeat the above - described operation . finally , in step 108 , the results ( concentrations , accuracy [ error ], measuring time , and the like ) are displayed on a displaying picture 1 of an lcd and simultaneously output by means of a printer and an external output . in the present preferred embodiment , the operator inputs the values to automatically judge the calculated values on the basis of standards ( a ), ( b ), and ( c ), thereby completing the measurement , so that the measuring time can be shortened and the handling ( setting of time is not required ) can be improved . fig2 shows a second preferred embodiment of the present invention in which the operator determines that the predetermined values were displayed on the displaying picture 1 of the lcd ( refer to fig4 ) and pushes a stop key in controller 14 for stopping the measurement . predetermined measuring conditions for a heavy fuel oil sample are set in step 201 , including a measuring time t of a maximum value t max of 600 seconds or less is inputted , and then the measurement cycle is started ( refer to step 202 ). in succession to a start of the measurement , a concentration of sulfur x contained in the heavy oil sample and an accuracy ( error ) for the same are calculated ( refer to step 203 ). at this time , the concentration of sulfur x and the accuracy ( σ x ) for the same is calculated by conducting an operation using the following expressions ( 1 ) and ( 2 ), respectively . wherein a , b are calibration curve constants , d being a counting of scattered x - rays , and f being a counting of sulfur . by these operations , the concentration x and 2 . 58 σ x at that point in time are displayed on a displaying picture 11 of the lcd , as shown in fig4 . successively , as above - described , calculated values of the concentrations and the accuracy for the same are displayed so that , in the case where the measuring time t does not exceed 600 seconds , if a quantitative value demanded by the operator is obtained from quantitative values ( concentration ) of midway displays and an accuracy for the same displayed at any time , the operator can push a stop key in step 204 to display &# 34 ; stop ,&# 34 ; meaning the completion of measurement on the displaying picture 11 , thereby completing the measurement cycle ( refer to step 205 ). in step 206 , the results ( concentrations , accuracy [ error ], measuring time and the like ) are displayed on the displaying picture 11 of the lcd and simultaneously output by means of a printer ( not shown ) and an external output ( refer to step 206 ). in the case where the measuring time t exceeds 600 seconds in step 207 while the stop key is not pushed in step 204 , the measurement is automatically stopped ( refer to step 205 ). in the case where the operator may overlook the quantitative result demanded by himself even though it was obtained after , for example , about 10 seconds from the start of the measurement cycle , and he does not push the stop key in step 204 , and there is still enough time until the measuring time t of 600 seconds passes in step 207 , it can be judged in step 207 that the measuring time t does not exceed the maximum value t max of 600 seconds in the measurement to make the measurement return to step 203 , thereby repeating the above - described operation . as described above , the operator can determine that the value demanded by himself was displayed on the displaying picture 1 of the lcd and push a stop key for stopping the measurement , so that the measuring time can be shortened and the handling ( setting of time is not required ) can be improved . in addition , although the concentrations and the accuracy ( error ) for the same are displayed on the displaying picture 1 , 11 of the lcd , respectively , in the above - described preferred embodiments , the maximum value and the minimum value of concentration may also be displayed on a displaying picture 21 , as shown in fig5 . as described above , according to the present invention , a fluorescent analytical method comprises the step of setting the measuring conditions for the sample and then starting the measurement , the step of calculating the concentrations of the elements contained in the sample and the accuracy of the same to complete the measurement when these calculated values amount to the appointed values , and the step of displaying and / or outputting the concentrations and the accuracy or the maximum value and the minimum value of concentration , so that the conventional problem that the calculated results of concentrations cannot be obtained until the time set as the measuring time has passed is eliminated . the accuracy of calculated results of concentrations can be obtained merely after the values are achieved rather than the time set so that , in order to accurately measure the concentrations of the elements contained in the sample . a lengthy measuring time can be eliminated and the measuring time can be effectively shortened , while the analytical method can be improved in handling . those skilled in the art will appreciate that various adaptations and modifications of the just - described preferred embodiment can be configured without departing from the scope and spirit of the invention . therefore , it is to be understood that , within the scope of the appended claims , the invention may be practiced other than as specifically described herein .