image processing: I do not understand the meaning of the machine vision paper formula

I am a master's student in the Computer Department.
I started the master in this year.
I am now reading two articles on computer vision.
Actually, before time I had no experience in machine vision. Therefore, I am not familiar with the concepts used in this field.

OK. I want to start question.
I am reading these papers.
1) Template matching using fast normalized cross correlation
by "Kai Briechle and Uwe D. Hanebeck
2) Quick template matching
by J.P. Lewis

Question 1. In the "2) document above, we can see the formula as below, f (x, y) is the image source, t (x, y) is
Template image.
enter the image description here

I wonder why two terms in the red box are constant and eliminate. I appreciate that only mathematically.
Who can explain me? using a photo or easily. I do not understand by field of image processing.

Question 2. In the "1) previous document" I do not understand that the red box term (average value) is that.
because, in general, we can calculate the average value in this way (value1 + value2 / 2)

enter the image description here

Formula to exchange option in a drop-down menu with a numeric value

Try the following formula in your calculated column:

=IF((Choice)="Doesn't align to current priorities","0",IF((Choice)="Somewhat aligns to current priorities","5",IF((Choice)="Aligns strongly with current priorities","10","-")))

Here, (Choice) is the column from which the formula compares the values.

How can I simplify a formula for Google Sheets?

How can I simplify this formula?

=SUM('DAY1'!P39,'DAY2'!P39,'DAY3'!P39,'DAY4'!P39,'DAY5'!P39,'DAY6'!P39,'DAY7'!P39,'DAY8'!P39,'DAY9'!P39,'DAY10'!P39,'DAY11'!P39,'DAY12'!P39,'DAY13'!P39,'DAY14'!P39,'DAY15'!P39,'DAY16'!P39,'DAY17'!P39,'DAY18'!P39,'DAY19'!P39,'DAY20'!P39,'DAY21'!P39,'DAY22'!P39,'DAY23'!P39,'DAY24'!P39,'DAY25'!P39,'DAY26'!P39,'DAY27'!P39,'DAY28'!P39,'DAY29'!P39,'DAY30'!P39,'DAY31'!P39)

I am trying to get data from multiple sheets on one page to track deals throughout the month and I have to copy, paste and edit the formula. In Excel this formula would be =SUM('DAY1:DAY31'!P39)

Is there a way to make this easier?

How can I simply this formula for google sheets?

How can I simplify this formula?

= SUM (& # 39; DIA1 & # 39 ;! P39, & # 39; DIA2 & # 39 ;! P39, & # 39; DIA3 & # 39 ;! P39, & # 39; DIA4 & # 39 ;! P39, & # 39 ; DAY5 & # 39 ;! P39, & # 39; DAY6 & # 39 ;! P39, & # 39; DAY7 & # 39 ;! P39, & # 39; DAY8 & # 39 ;! P39, & # 39; DAY9 & # 39 ;! P39, & # 39; DAY10 & # 39 ;! P39, & # 39; DAY11 & # 39 ;! P39, & # 39; DAY12 & # 39 ;! P39, & # 39; DAY13 & # 39 ;! P39, & # 39; DAY14 & # 39 ;! P39, & # 39; DAY15 & # 39 ;! P39, & # 39; DAY16 & # 39 ;! P39, & # 39; DAY17 & # 39 ;! P39, & # 39; DAY18 & # 39; ! P39, & # 39; DAY19 & # 39 ;! P39, & # 39; DAY20 & # 39 ;! P39, & # 39; DAY21 & # 39 ;! P39, & # 39; DAY22 & # 39 ;! P39 , & # 39; DAY23 & # 39 ;! P39, & # 39; DAY24 & # 39 ;! P39, & # 39; DAY25 & # 39;! P39, & # 39; DAY26 & # 39 ;! P39, & # 39; DAY27 & # 39 ;! P39, & # 39; DAY28 & # 39 ;! P39, & # 39; DAY29 & # 39 ;! P39, & # 39; DAY30 & # 39 ;! P39, & # 39; DAY31 & # 39; ! P39)

I am trying to get data from multiple sheets on one page to track deals throughout the month and I have to copy, paste and edit the formula. In Excel, this formula would be = SUM (& # 39; DAY1: DAY31 & # 39 ;! P39)

Is there a way to make this easier? Please help!

math quiz – addition formula (n / r ^ 2) * (r ^ 2)

Is there a better way to add (n / r ^ 2) * (r ^ 2) where r is between 1 and sqrt (n) and n is as large as 1e18. eg let n = 10 -> (10/1) * 1 + (10/4) * 4 + (10/9) * 9 = 10 + 8 + 9 = 27

I tried the sqrt (N) brute force approach which is fine up to N = 1e14 but not for N = 1e18. I don't notice any pattern or formula for this problem. I notice that the sum is less than (sqrt (N)) * N in some number for a particular N, but I can't calculate what it will be for a given N. Please help.

Why typing into the Google Sheets formula field occasionally can overwrite text as if the Insert Keyboard feature is turned on when it isn't?

In the past few weeks, when I worked on several different sheets on different desktop computers, I noticed that as I type in the formula field, the text is randomly overwritten by about 10% of the keystrokes, as if the key Insert would have been activated momentarily. I cannot understand why. Thank you

machine learning: Backprop question formula question

I'm reading this chapter https://www.deeplearningbook.org/contents/mlp.html from the book Deep Learning, and on page 209, they have this equation (suppose there is no regularizer or bias parameter):
$$
nabla_ {W ^ {(k)}} J = gh ^ {(k-1) T}
$$

I'm not sure how this equation is derived, because
I thought based on the equation they give on page 203: $ nabla_xz = left ( frac { partial y} { partial x} right) ^ T nabla_y z $then we should have $ nabla_ {W ^ {(k)}} J = left ( frac { partial a ^ {(k)}} { partial W ^ {(k)}} right) ^ T nabla_ {a ^ (k)} J = h ^ (k-1) T} g $ (why $ g = nabla_ {a ^ {(k)}} $ Y $ a ^ (k) = W ^ (k) hk-1 $) instead?

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Google Sheets: Spreadsheet formula to "swing" some two-dimensional tables to one-dimensional columns?

You apologize in advance for not using any correct terminology, as I don't know the best words to describe this problem.

I have two equal-sized two-dimensional regions in a spreadsheet that have data, and I'd like to put that data into two matching one-dimensional columns. Here is a little example:

Sample screenshot of Google Sheets

Here, my input data is in BF: 2-7 and BF: 10-15, and my desired output is in columns H and I. I'm not too picky about the order the rows are in columns H and I, as I plan to do more data manipulation on them.

Of course, my actual data is MUCH bigger.

I've examined this question, which appears to be similar but doesn't have an answer, and it points out this question and this question, which seem Excel-specific and also not obvious to me how they would apply to my situation.

For the formula 1 / u + 1 / v = 1 / f, what is the infinite depth of field or the hyperfocal distance?

For the formula 1 / u + 1 / v = 1 / f, what is the infinite depth of field or the hyperfocal distance? In other words, when u, v and f do we have infinite depth of field or hyperfocal distance?