多項式の展開の英語

干渉縞に高周波成分が重畳されてしまう光学素子についてツェルニケ展開を行ったときにも、得られる多項式の直交性を保つことのできる収差測定方法を提供する例文帳に追加

To provide an aberration measurement method for maintaining orthogonality in an polynomial obtained, when Zernike expansion is carried out in an optical element, in which high-frequency components are superimposed on interference pattern. - 特許庁

ニュートン・ラフソン法の漸化式を一定回数繰り返した式を、多項式で展開することにより、反復計算が並列に実行できるようになり、処理が高速化される。例文帳に追加

This fixed point dividing device is configured to develop such a formula that the recurrence formula of a Newton/Rafson method is repeated the fixed number of times by a polynomial so that repeated calculation can be executed in parallel, and that the high speed processing can be realized. - 特許庁

テストレチクルＲｔのピンホールＰＨの像を含む測定光ＲＬを波面収差測定ユニット７５に入射させ、投影光学系ＰＬの波面収差情報を測定するとともにツェルニケの多項式を用いてデフォーカス成分を含む種々の成分に展開する。例文帳に追加

A measuring beam RL including an image of pin-hole PH of a test reticle Rt is controlled to be incident to the wave-front aberration measuring unit 75 to measure the wave- front aberration information of the projected optical system PL and this measuring beam RL is developed to various elements including the defocus element using the polynomial of Zernike. - 特許庁

本発明のデータ補正装置１０は、入力データの補正を行うための高次多項式を、直交展開するための展開係数及び基底関数のそれぞれの演算結果である展開係数配列データ３２及び基底関数配列データ３６が記憶された演算用メモリ２２と、展開係数配列データ３２及び基底関数配列データ３６を利用して入力データの補正を行う演算部２０と、を含む。例文帳に追加

This data compensating device 10 includes the memory 22 for arithmetic operation in which development coefficient arrangement data 32 and basis function arrangement data 36 as arithmetic results of each of a development coefficient and a basis function to orthogonally develop a polynomial or higher degree for correcting inputted data are stored, and an arithmetic operation part 20 for correcting the inputted data by using the development coefficient arrangement data 32 and the basis function arrangement data 36. - 特許庁

高次多項式への展開を避け、計算量及び計数を保管するために必要な記憶媒体のスペースの増大を避けることが可能になり、確率を与える積分を直接に数値評価する方法と比較して迅速に確率分布を得られるので、ＰＯＳデータのような大量のデータに対して待ち時間の推定を適用する場合に、より効率的に結果を得られる。例文帳に追加

Development into a high-order polynomial is avoided, an increase of a space of a storage medium necessary for storing a calculation amount and counting is thus avoided, and probability distribution is obtained more quickly than a method for directly performing numerical evaluation of integral for giving probability, so that a result is more efficiently obtained when estimation of the queue is applied to a large amount of data, such as POS data. - 特許庁

光源から放射された光を被検レンズに入射させ、当該被検レンズを透過した光を検出して波面収差を測定する波面収差測定方法であって、被検レンズの絞りを開放した状態で波面収差を測定する工程と、被検レンズの絞りを絞った状態で、当該被検レンズの瞳中心位置を測定する工程と、瞳中心位置を原点として波面収差を多項式展開する工程と、を有する。例文帳に追加

This method of measuring wavefront aberration for measuring wavefront aberration by inputting light emitted from a light source into an inspected lens to detect light having passed through the inspected lens, includes a process for measuring wavefront aberration with the aperture of the inspected lens opened, a process for measuring the pupil center position of the inspected lens with the aperture of the inspected lens reduced, and a process for polynomially expanding the wavefront aberration with the pupil center position used as an origin. - 特許庁