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The value in G5 is hard-coded. The formula picks up the value in G5, then subtracts the value (if any) in E6 and adds the value (if any) in F6. When the credit or debit values are empty, they behave like zero and have...
Data validation rules are triggered when a user adds or changes a cell value.The TODAY function returns today's date (recalculated an on on-going basis). The AND function takes multiple logical expressions and...
The AND function takes multiple arguments and returns TRUE only when all arguments return TRUE. The TODAY function returns the current date. Dates in Excel are simply large serial numbers, so you can create a new...
Working fron the inside out, this formula uses the COUNTIF function to count passing scores in all six subjects:COUNTIF(C5:H5,'>=70') // count passing subjectsThe result in I5 is 3, in I6 is 5, and in...
At the core, this formula runs two tests on a value like this:=D5>MIN(B5,C5) // is D5 greater than smaller?=D5<MAX(B5,C5)) // is D5 less than larger?In the first expression, the value is compared to the...
In the example shown, we simply want to 'mark' or 'flag' rows where the color is 'red' AND size is either 'small' or 'medium'. To return TRUE when items are red and small, we can use a logical statement constructed with...
Note: this is a great example of a formula that is hard to understand because the cell references are hard to interpret. The gist of the logic used is this: if the time in row 4 is between the start and end times, the...
Inside the AND function there are two logical criteria. The first is straightforward, and ensures that only cells that match the color in E5 are highlighted:$B3=$E$5The second test is more complex:$C3<=SMALL...
In the example shown, we want to test if all values in each row are equal. To do this, we use an expression that compares the value in the first column (B5) to the rest of the columns (C5:F5):B5=C5:F5Because we...
The AND function is designed to evaluate multiple logical expressions, and returns TRUE only when all expressions are TRUE.In this case the we simply compare one range with another with a single logical expression...
Data validation rules are triggered when a user adds or changes a cell value.The UPPER function changes text values to uppercase, and the EXACT function performs a case-sensitive comparison.The AND function takes...
Conditional formatting is evaluated relative to every cell it is applied to, starting with the active cell in the selection, cell B3 in this case.To highlight matching rows, we use this logical expression:$B4=$K$5...
In the image shown, the current date is August 24, 2019.Excel dates are serial numbers, so they can be manipulated with simple math operations. The TODAY function always returns the current date.Inside the AND...
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In the image shown, the current date is August 23, 2019.Excel dates are serial numbers, so you can manipulate them with simple math operations. The TODAY function returns the current date on an on-going basis. Inside...
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This formula relies on the AND function to test two conditions at the same time: Count of words from named range inc is >0 Count of words from named range exc is =0If both conditions are TRUE, the formula...
QUADF
algorithms are based on the numerical integration package QUADPACK. QUADF
default algorithm is QAG. You can override the default algorithm in optional argument 5 with the key ALGOR For example: =QUADF(f, x, a, b, {'algor','qags'})
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- QNG
- A non-adaptive algorithm which uses fixed Gauss-Kronrod-Patterson abscissae to sample the integrand at a maximum of 87 points. It is suitable for fast integration of smooth functions.
- QAG
- An adaptive integration algorithm which divides the integration region into subintervals, and on each iteration the subinterval with the largest estimated error is bisected. This reduces the overall error rapidly, as the subintervals become concentrated around local difficulties in the integrand. The integration rule can be set by the GKPAIR key/value pair.
- QAGS
- Combines QAG with the Wynn epsilon-algorithm to speed up the integration of many types of integrable singularities. It uses 21-point Gauss-Kronrod rule.
- QAGP
- Applies QAGS taking into account user-supplied locations of singular points.
- QAGI
- Used for improper integrals. The integral is mapped onto the semi-open interval (0,1] using the transformation x = (1-t)/t. It is then integrated using the QAGS algorithm using a 15-point Gauss-Kronrod rule
- QKn
- The fixed-order Gauss-Legendre integration routines are provided for fast integration of smooth functions. The n-point Gauss-Legendre rule is exact for polynomials of order 2*n-1 or less. Rules are available for n = 15, 21, 31, 41, 51, 61. (e.g., QK21.)