rop formula

Proof: Using formula (n-1) 3 = N3-3N2 +3n-1 S3 = +23 +33 +43 +...+n3 S2 = +22 +32 +42 +...+n2 S1 = 1 +2 +3 +4+...+n = S3-3s2+3s1-n = (1-1) 3 + (2-1) (3-1) 3 + (4-1) 3 + ... + (n-1) 3 = S3-n3 = 3S2 = 3s1+n3-n and s1= N (n+1)/2, = S2 = N (n+1) (2n+1)/6 i.e.: +22 +32 +42 +...+n2 = N (n+1) (2n+1)/6 similarly push Related: (a+b) ^n=a^n+c (n,1) a^ (n-1) b+c (n,2) a^ (n-2) b^2+c (n,3) a^ (n-3) b^3+......+c (n,n-2) a^2b^ (n-2) +c (n,n-1) ab^ (n-1) +b^n Ya

LightOJ-1045 Digits of factorial Time Limit: 2000MS Memory Limit: 32768KB 64bit IO Format: %lld %llu Submit StatusDescriptionFactorial of an integer was defined by the following functionF (0) = 1f (n) = f (n-1) * N, if (n > 0)So, factorial of 5 is 120. But in different bases, the factorial is different. For example, factorial of 5 in base 8 is 170.In this problem, you have to find the number of digit (s) of the of the factorial of

★ The origin of the formula editor You must know that there is a "formula editor" application in Word, but you may not know it is not actually developed by Microsoft, it is a special edition of the MathType "formula editor" of Design Science company, which is customized for Microsoft applications. ★ Installation of Equation Editor The Equation Editor is not a

In the process of using Excel to complete a task, the formula is used very much and can solve all kinds of problems. However, this does not mean that the application of the formula will always be smooth, if we use the function and the formula is a little less careful, the formula may return some strange error code, thi

I. formula components Ii. Formula syntax Iii. Formula type ---------------------------------------------------------------- The formula consists of two key parts: component and syntax. A component is the part added to the creation formula, and the syntax is the rule followed

Science teachers often have headaches for test papers and many formulas in the courseware. Often fall into the infinite stitching method, using a text box to combine into a complex formula. In fact, WPS Office provides us with a powerful formula editor equation Editor, which can help us solve these problems. 1. Insert Formula Place the cursor where you want to

Document directory Simple Formula (for example, = 128 + 345) Formulas that contain column references (for example, = [revenue]> [cost]) Formula for calling a function (for example, = average (1, 2, 3, 4, 5 )) Formulas containing nested functions (for example, = sum (if ([a]> [B], [a]-[B], 10), [c]) Arithmetic Operators Comparison Operators Text Operators List or database execution sequence of oper

solutions to the failure of Excel table formulas Solution to Excel Table formula failure 1: Take a basic example to illustrate that the first three columns in the table add up to calculate the fourth column totals by formula. The current data is correct. Solution to Excel Table Formula failure 2: Modified AB data, the results of the total remains un

Directory:I. formula componentsIi. Formula syntaxIii. Formula type----------------------------------------------------------------The formula consists of two key parts: component and syntax. A component is the part added to the creation formula, and the syntax is the rule fo

MathType This mathematical formula editor, which is often used in support of various documents. Because of its editing formula and mathematical symbols, such as the symbol of international publication standards, and easy to get started, there is no need for a learning process, as long as the installation can be used directly after opening. So very popular with everyone. However, some novice users of the

Building a powerful and flexible formula management system with Java scripts In many large and medium applications, such as SCM (supply chain Management), CRM (Customer relationship Management) and ERP (Enterprise resource planning) and so on, users often need to according to their own needs, the flexibility of a number of parameters to change, so that according to a fixed formula calculated results in lin

About the use of Formula Editor in many books and magazines are introduced, but in the daily use of the process, there are a number of problems often appear, such as: input mathematical formula and then the distance, can not change the color of the formula, printing often garbled, and so on. To address the various issues mentioned above, let's look at specific so

A good formula can save a lot of dash analysis time here to teach you a big smart self-coding indicators and intelligent stock selection function to select the method of short-term profit."Formula entry"The first step is to open the big wisdomThe second step is to click on the function above--self-coding indicator entryThe third step in the "formula group", "All"

About the use of Formula Editor in many places are introduced, but in the daily use of the process, there are a number of problems often appear, such as: input mathematical formulas and then the distance, can not change the color of the formula, printing often garbled, and so on. To address the various issues mentioned above, let's look at specific solutions. First, solve the problem of line spacing after

The CNN Formula derivation 1 prefaceBefore looking at this blog, please make sure that you have read my top two blog "Deep learning note 1 (convolutional neural Network)" and "BP algorithm and Formula derivation". and has read the paper "Notes on convolutional neural Networks" in the literature [1]. Because this is the interpretation of the literature [1] The derivation process of the

When you add a formula to the same chapter and renumber the formula, you just have to do the insertion of the Formula One time before the following formula. For example, if you add a formula before Formula 2, the

The CNN Formula derivation 1 prefaceBefore looking at this blog, please make sure that you have read my top two blog "Deep learning note 1 (convolutional neural Network)" and "BP algorithm and Formula derivation". and has read the paper "Notes on convolutional neural Networks" in the literature [1]. Because this is the interpretation of the literature [1] The derivation process of the

General formula used by ordinary youth After you start PowerPoint 2016, switch to the Insert tab, and then click the Formula Drop-down button in the toolbar symbol, which lists some of the commonly used formulas in the Drop-down menu. Select the formula you want, and click to output the formula directly.