Quadrature Calculator Precision 72 破解+序列号免费下载

Quadrature Calculator Precision 72

Developer’s Description

Quadrature Calculator Precision 72 calculates definite integrals of large variety of functions by tanh-sinh quadrature scheme. Numerical values are calculated with precision 72 digits. Also uncertainty of result is computed.All calculation results are reflected in History rich-text-box, which can be saved in file or printedQuadrature Calculator Precision 72 is a mathematical software used by researchers , teachers, scientists , engineer and stundents for complex calculations.
The software is compatible with Windows 2000, XP, Vista and Windows 7.The calculator is used in order to calculate definite integrals that may contain many function from the quadrature scheme. The precision of the calculation is up to 72 digitsQuadrature Calculator Precision 72 calculates definite integrals of a wide variety of functions by the tanh-sinh quadrature scheme. Numerical values are calculated with a precision of 72 digits. Also uncertainty of the result is computed.All calculation results are reflected in the rich-text-box, which can be saved to file or printed

序列号是什么？
序列號是分配給每個單獨產品的編號，以便將其與所有其他產品區分開來。 有時序列號僅用於保修控制，有時它同時用於保修控制和版本控制。
什麼是激活序列號？
激活密鑰是用於註冊或激活軟件應用程序的代碼。 它通常由字母和數字組成，通常在激活密鑰段之間帶有連字符。
序列號是做什麼用的？
如何使用序列號的圖像結果 產品密鑰，也稱為軟件密鑰、序列號或激活密鑰，是計算機程序的基於軟件的特定密鑰。 它證明該程序的副本是原始的。

序列號
BCQOG-T03EL-98HZ4-APW4D-VB95T

ZXY4Z-KSUSR-QZ0BR-SS6VZ-H0GMG

5LIE5-867CP-0BSLQ-WRQ96-0HUHN

UWQDX-5M99Y-LHQ94-SXAVB-J0N03

串行碼
52APY-21XQP-T3OMF-64I9L-T9Z7J

YR87Q-O3WG1-RQYUT-T8Q8K-JGPRM

O7CF7-IL6QK-5KVF1-9T4U6-8TKBV

OML3J-R3ISB-Z5MAP-26TIQ-4EBQM

序列號生成器
Q6R9G-J6NHQ-SVBDR-84K1C-Z2J61

OAHWV-B2PGA-B144B-KYNAA-LCI3G

MC2OZ-075FI-2Q77F-2FPYI-MECSV

MFM48-5JXW7-S4546-6QWZ4-1D4KO

免費的序列號生成器
DV9JY-RENV5-2UHUK-H6XX9-9K8N1

PJJP8-Q5IDT-RMG2Q-2YKKM-6QG83

U7VLN-Q1TC2-N8S4Z-L97Z4-X8PT3

C4ZEB-46FBN-4BVM0-8QPN8-CGGVO

在線串行密鑰生成器
TL0BB-TLYBB-P4VT4-9ENM5-IAFBI

PFPJM-IIZAC-KUBVP-NMG6Y-1Q7WW

HPC3T-000BY-P03UW-5IGTL-DH05G

BG0TY-Z80QM-3ODM3-R40G4-X6DWH

電腦序列號
D0WR9-Q3PQ7-VNHQL-BDKF1-V5ELH

LT8PS-NVNON-AP7MD-DL2HD-GXPL0

9AG62-NR1S4-AWN0X-V4EC9-TAKUU

ZMVCP-3AB4I-8N9EY-TQKAN-2N3QV

序列號生成器下載
VDD07-0129H-AET0N-LU6YO-N9N7Z

ANQ3Y-RYXFD-6L4YS-9MU9G-IIGON

LCVEQ-16TET-3BWFS-XI87H-01GQH

RBK1F-8R7AC-0ZIKR-J2N2Q-XRYZF

密鑰序列號
V6BXW-XD6D8-7HE84-WXUGM-HBQQE

M5FJN-QJWOE-1U5A5-6DJV4-3OBSA

XUA6V-W5SWO-DR5V5-YLV5I-LI36W

IP7JA-N6SDP-NA50C-VIPQG-PJ6YQ

軟件的序列號
I91DC-82L1S-YZ5K7-XJ1JE-KIWHI

L9LN7-S5WJ2-3AFVH-NPOCE-ZP66N

5WUT0-9FO5E-8Q3A5-EQCSJ-M6185

PO9V4-7GL1Y-P7ZMA-2RHB4-B0TE6

軟件的串行密鑰生成器
0HU4L-HEUXA-7KPPF-TSFOL-74F2I

22NOB-2J3DD-2BX9P-YT24Q-BZXQ5

19BH9-BO1EP-KABQS-2HNVI-AITC0

QYAG0-UI41K-F5A6R-QSFBD-GSOHC

序列號生成器在線免費
YQH42-99ZSD-Y9E8T-NI3LM-9Q59D

VWUR2-CEKP4-947NP-Y02BW-VSZO4

6JYZZ-JU6SJ-FD7UI-QYII4-SN5VM

QHF64-PC0UC-9IEHS-61JJC-6JA3X

视窗密钥生成器软件
FY8NF-QNHGI-1Q5ZB-SNAFC-MRQMO

83Q94-KJLZF-MR2BI-414AX-4K9Z5

P617N-WNG8M-GBA6B-9ZKRC-J11IA

YKCE0-AI6KT-QGMZM-N6N6O-1PSB2

所有软件凯基生成器免费下载
LKJ03-VE86C-PKBSM-7GYS0-L03Y9

48ZCK-MFXFW-F58X1-IS5IP-M6HSS

QBZ5I-YO1ZE-N4DQQ-23JV1-ZSCF4

SQ3TJ-5KTCG-G5SIL-R3FT5-BNC9H

软件的免费串行密钥
XD0RA-P2BN9-OATSY-SLMIW-OTUPB

6VW7Y-KV70I-VCVYK-JNHKM-LV2J7

ZYGOG-G3E9B-CDJVN-OS4B0-HQ9CP

1OLRT-L6ET2-Q42LZ-EU3WC-1XI3V

免费串行密钥生成器
OR4IL-WE0XK-1TU1U-JMJ25-TZ51I

5LPZW-526YZ-V5NCL-DPKVP-9SFHR

P6TSO-5QFXB-XLBLF-3YAPA-O8VOR

Y2ANO-93QQ7-E2A0Q-6C561-QEPFE

在线串行密钥生成器
WP5TN-Y2S9D-01LN3-XXQ4W-IS870

3ZPJP-L051R-FXZLM-TQ32L-S65MC

MBEZ2-BD8C1-W8GRL-H32S7-R7Z4X

6F974-KKMT7-0Z0IR-8SWFS-9L63E

串口按键电脑
JFI24-B0ABT-WQ41V-2VIBO-PS7KV

F1DFK-J6XMH-D4B3A-YLUYP-XAEA9

EZOWH-YQUWH-QI47O-GW28I-EXIY0

H5MT6-2GY0A-8M0RJ-77BT4-R2YT7

串行密钥下载
EU4MS-G41WG-U0DQZ-VCZXG-UBV1S

VYB8M-BB23I-DYFT4-DOABQ-YAOOC

6G8CI-KC5WV-X5UDC-0PJPW-2WK8F

KD8ZE-O5EUU-J3HKO-NC43G-NAO4Z

串行密钥 2022
RTK59-L9NZ7-HNGH5-LANWJ-9GUSD

R9Z2G-5GTC9-KP6OH-8602U-YUO6B

WGCKQ-YK06P-BNL04-NC8KT-S7LNX

35R7H-NPWFG-MRVUM-BC59Q-5ZG9H

串行密钥 2023
RHQIG-I5TWI-00QQV-0QT2H-2TE5S

JDM9B-XWFUT-XP5UY-SS3YI-0DJFQ

OXHOD-5Z2SI-01Q85-ENS9J-2FKYB

7OBWG-XBFLR-5S6RR-6RMLN-ZDYOJ

串行键 100 % 工作
9248D-I5G0N-REJMU-YJH6X-NXPDY

TVALQ-LTDGA-MKT64-FT2Y1-6DTWU

Y183I-3DTSR-WU5VM-NDONS-RBBVR

8TBUB-NJ24M-YUGGX-A9TC8-NID5H

串行注册机
EAW62-SV1YH-YCW56-5GUGT-ZWX8Q

PB1BN-NKAKB-QZUT9-QOG00-SM40T

JLA3W-8XLGJ-KL62W-3P0E9-6KCKY

G06NR-XNMNO-ZN3PT-BNPPN-6Q2ZU

Limitations :.

<p>3 days

Quadrature Calculator Level 2 Description

Quadrature Calculator calculates definite integrals of large variety of functions by tanh-sinh quadrature scheme. Numerical values are calculated with precision 15-16 digits. All calculation results are reflected in History rich-text-box, which can be saved in file or printed.

Gauss–Legendre quadrature rules are of considerable theoretical and practical interest because of their role in numerical integration and interpolation. In this paper, a series expansion for the zeros of the Legendre polynomials is constructed. In addition, a series expansion useful for the computation of the Gauss–Legendre weights is derived. Together, these two expansions provide a practical and fast iteration-free method to compute individual Gauss–Legendre node-weight pairs in O(1) complexity and with double precision accuracy. An expansion for the barycentric interpolation weights for the Gauss–Legendre nodes is also derived. A C++ implementation is available online.

Abstract

Mathematical properties of the encircled and ensquared energy functions for the diffraction-limited point-spread function (PSF) are presented. These include power series and a set of linear differential equations that facilitate the accurate calculation of these functions. Asymptotic expressions are derived that provide very accurate estimates for the relative amount of energy in the diffraction PSF that fall outside a square or rectangular large detector. Tables with accurate values of the encircled and ensquared energy functions are also presented.

Many cloud microphysical processes occur on a much smaller scale than a typical numerical grid box can resolve. In such cases, a probability density function (PDF) can act as a proxy for subgrid variability in these microphysical processes. This method is known as the assumed PDF method. By placing a density on the microphysical fields, one can use samples from this density to estimate microphysics averages. In the assumed PDF method, the calculation of such microphysical averages has primarily been done using classical Monte Carlo methods and Latin hypercube sampling. Although these techniques are fairly easy to implement and ubiquitous in the literature, they suffer from slow convergence rates as a function of the number of samples. This paper proposes using deterministic quadrature methods instead of traditional random sampling approaches to compute the microphysics statistical moments for the assumed PDF method. For smooth functions, the quadrature-based methods can achieve much greater accuracy with fewer samples by choosing tailored quadrature points and weights instead of random samples. Moreover, these techniques are fairly easy to implement and conceptually similar to Monte Carlo–type methods. As a prototypical microphysical formula, Khairoutdinov and Kogan’s autoconversion and accretion formulas are used to illustrate the benefit of using quadrature instead of Monte Carlo or Latin hypercube sampling.

This paper is concerned with the numerical approximation of Fredholm integral equations of the second kind. A Nyström method based on the anti-Gauss quadrature formula is developed and investigated in terms of stability and convergence in appropriate weighted spaces. The Nyström interpolants corresponding to the Gauss and the anti-Gauss quadrature rules are proved to furnish upper and lower bounds for the solution of the equation, under suitable assumptions which are easily verified for a particular weight function. Hence, an error estimate is available, and the accuracy of the solution can be improved by approximating it by an averaged Nyström interpolant. The effectiveness of the proposed approach is illustrated through different numerical tests.