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Go through these carefully. These are guidelines and not rules, that is, it is good to stick to them, but you should know when a certain rule is getting in the way of your learning (practicality beats purity)

2. You shouldn't cram Maths.From the 20 Rules above, ignore the rules #4,7,9,10,12 (keep it precise and rigorous)

Maths follows logically, and long proofs can be derived from first principles as long as you understand the basic flow and structure of them.

It is OK to have lengthy proofs in your cards.

3. Grade the cards ruthlessly!If you forget some step in the proof, and are unable to figure some way out, you gotta mark the whole card as Again. No excuses!

Attention to the tiniest details is what makes someone good at Maths.

For example, here's a card of mine:

Question: State Vieta's Formulas.

Answer: http://i.imgur.com/B6MnBLp.png (Big image, view it in full size)

In this card, if I forget the line about Fundamental Theorem of Algebra, I mark it as Again.

If I make the slightest mistake in the formula, I mark it Again.

If I cannot recollect the values for the cubic and quadratic polynomials from memory without effort, I mark it again.

Only if I can recollect every bit of the card perfectly do I mark it as Good or Easy.

It is OK to do this. If you feel that doing this will increase your workload a lot, add less cards. Learn the correct thing, even if it means you end up learning slightly less.

4. Add the smallest points that are worth remembering to Anki.Question: f(x) = x

^{2}/ x, g(x) = x. Is f(x) = g(x)?

Answer: No. For two functions to be equal, their domains must also be same. f(x) is not defined at x=0

Simple, but important!

You can add cool things to Anki too. Maths has a lot of cool things (like the graph of sin(1/x) )

5. Use images, colors (to emphasize points) a lot!Question: http://i.imgur.com/treeyi2.png

Answer: http://i.imgur.com/pWGS9c9.png

.

Question: When we integrate, what is the true meaning of the added constant C? Answer: http://i.imgur.com/ETFVnVM.png

.

Question: sin(arctan(x)) = ? (And how to remember/derive?)

Answer: http://i.imgur.com/YUw7VyV.png

Use colors in math equations to make them easier to read:

...Question: Derive the Inverse Rule of Differentiation.

Answer: http://i.imgur.com/cJp0Jzn.png

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alAnkiDroid manual Official Support Anki & AnkiMobileAnkiDroid Resources Add-onsDecksCard Styles Filter by flair Hide QuestionsShow Questions Only 7 Posted by u/Gear5th 2 years ago Archived <span>[Guide] How to Anki Maths the right way. 1. 20 rules of formulating knowledge Go through these carefully. These are guidelines and not rules, that is, it is good to stick to them, but you should know when a certain rule is getting in the way of your learning (practicality beats purity) 2. You shouldn't cram Maths. From the 20 Rules above, ignore the rules #4,7,9,10,12 (keep it precise and rigorous) Maths follows logically, and long proofs can be derived from first principles as long as you understand the basic flow and structure of them. It is OK to have lengthy proofs in your cards. 3. Grade the cards ruthlessly! If you forget some step in the proof, and are unable to figure some way out, you gotta mark the whole card as Again. No excuses! Attention to the tiniest details is what makes someone good at Maths. For example, here's a card of mine: Question: State Vieta's Formulas. Answer: http://i.imgur.com/B6MnBLp.png (Big image, view it in full size) In this card, if I forget the line about Fundamental Theorem of Algebra, I mark it as Again. If I make the slightest mistake in the formula, I mark it Again. If I cannot recollect the values for the cubic and quadratic polynomials from memory without effort, I mark it again. Only if I can recollect every bit of the card perfectly do I mark it as Good or Easy. It is OK to do this. If you feel that doing this will increase your workload a lot, add less cards. Learn the correct thing, even if it means you end up learning slightly less. 4. Add the smallest points that are worth remembering to Anki. Question: f(x) = x2 / x, g(x) = x. Is f(x) = g(x)? Answer: No. For two functions to be equal, their domains must also be same. f(x) is not defined at x=0 Simple, but important! You can add cool things to Anki too. Maths has a lot of cool things (like the graph of sin(1/x) ) 5. Use images, colors (to emphasize points) a lot! Question: http://i.imgur.com/treeyi2.png Answer: http://i.imgur.com/pWGS9c9.png . Question: When we integrate, what is the true meaning of the added constant C? Answer: http://i.imgur.com/ETFVnVM.png . Question: sin(arctan(x)) = ? (And how to remember/derive?) Answer: http://i.imgur.com/YUw7VyV.png Use colors in math equations to make them easier to read: Question: Derive the Inverse Rule of Differentiation. Answer: http://i.imgur.com/cJp0Jzn.png 6. Invest time in making your cards. If you want to do Anki the correct way, there is no shortcut to making cards. You will remember what you put into Anki for years to come. You don't wanna remember poorly formatted or boring/uninformative cards. Making cards will be the majority of your Anki time (several times more than reviewing time!), but it is essential that you invest the time! Also, if you're only gonna use LaTeX for math equations, consider switching to Mathjax. Anki supports javascript, and it is easy to make Mathjax work with Anki. Let me know if you need any help with the integration. Pros (of Mathjax): Scalable equations. You can zoom in and out to your heart's content. Pixel perfect vertical alignment. Inline alignment of rendered images from LaTeX is a nightmare. Mathjax does it automatically for you! Faster workflow. Mathjax is responsive and equations are rendered almost instantly. (unlike compiling LaTeX tp pdf, cropping the pdf, finding out the baseline for alignment, rendering to image, padding the image for alignment and then copying the image to collection.media) Ability to render on mobile devices. Mathjax is just javascript :) Cons: Only math mode and the basic packages (like amsmath) are supported out of the box. Also, consider using a better font. I am using Open Sans (for text) and Source Code Pro (for code) at the moment, which are infinitely better than then Arial font Anki uses by default. 7 comments share save hide 83% Upvoted This thread is archived New comments cannot be posted and votes cannot be cast Sort by best best top new controversial old q&a level 1 wheres_

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are often similar. For example, in a linear algebra book, many results begin by «Let U,V be two vector space and T a morphism from u to V». It is helpful not to have to retype it in each cards. <span>Definition In a definition card, there is usually three deletions. The first is the name of the defined object. The second is the notation of this object. The third one is the definition. If an object admits many equivalent definitions, all definitions appears on the same card. Each definition being a different cloze deletion. Indeed, if your card is «A square is ... » and you answer «A diamond with a 90° angle», you don't want to be wrong because it is written «A rectangle with two adjacent side of same length». Therefore, the card is: «{{c1::A square}} is: equivalently -{{c2::A diamond with a 90° angle}} or -{{c3::A rectangle with two adjacent side of same length}}» Beware, sometime it is better if the name and the notation belong to the same deletion. For example, if X is a subset of a vector space, it is easy to guess that «Aff(X)» is «the Affine

Question

Answer

the name of the defined object

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Definition In a definition card, there is usually three deletions. The first is the name of the defined object. The second is the notation of this object. The third one is the definition. If an object admits many equivalent definitions, all definitions appears on the same card. Each definition b

are often similar. For example, in a linear algebra book, many results begin by «Let U,V be two vector space and T a morphism from u to V». It is helpful not to have to retype it in each cards. <span>Definition In a definition card, there is usually three deletions. The first is the name of the defined object. The second is the notation of this object. The third one is the definition. If an object admits many equivalent definitions, all definitions appears on the same card. Each definition being a different cloze deletion. Indeed, if your card is «A square is ... » and you answer «A diamond with a 90° angle», you don't want to be wrong because it is written «A rectangle with two adjacent side of same length». Therefore, the card is: «{{c1::A square}} is: equivalently -{{c2::A diamond with a 90° angle}} or -{{c3::A rectangle with two adjacent side of same length}}» Beware, sometime it is better if the name and the notation belong to the same deletion. For example, if X is a subset of a vector space, it is easy to guess that «Aff(X)» is «the Affine

Question

Answer

the notation of this object

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Definition In a definition card, there is usually three deletions. The first is the name of the defined object. The second is the notation of this object. The third one is the definition. If an object admits many equivalent definitions, all definitions appears on the same card. Each definition being a different cloze deletion. Indeed, if

are often similar. For example, in a linear algebra book, many results begin by «Let U,V be two vector space and T a morphism from u to V». It is helpful not to have to retype it in each cards. <span>Definition In a definition card, there is usually three deletions. The first is the name of the defined object. The second is the notation of this object. The third one is the definition. If an object admits many equivalent definitions, all definitions appears on the same card. Each definition being a different cloze deletion. Indeed, if your card is «A square is ... » and you answer «A diamond with a 90° angle», you don't want to be wrong because it is written «A rectangle with two adjacent side of same length». Therefore, the card is: «{{c1::A square}} is: equivalently -{{c2::A diamond with a 90° angle}} or -{{c3::A rectangle with two adjacent side of same length}}» Beware, sometime it is better if the name and the notation belong to the same deletion. For example, if X is a subset of a vector space, it is easy to guess that «Aff(X)» is «the Affine

Question

Answer

the definition

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Definition In a definition card, there is usually three deletions. The first is the name of the defined object. The second is the notation of this object. The third one is the definition. If an object admits many equivalent definitions, all definitions appears on the same card. Each definition being a different cloze deletion. Indeed, if your card is «A square is ... »

are often similar. For example, in a linear algebra book, many results begin by «Let U,V be two vector space and T a morphism from u to V». It is helpful not to have to retype it in each cards. <span>Definition In a definition card, there is usually three deletions. The first is the name of the defined object. The second is the notation of this object. The third one is the definition. If an object admits many equivalent definitions, all definitions appears on the same card. Each definition being a different cloze deletion. Indeed, if your card is «A square is ... » and you answer «A diamond with a 90° angle», you don't want to be wrong because it is written «A rectangle with two adjacent side of same length». Therefore, the card is: «{{c1::A square}} is: equivalently -{{c2::A diamond with a 90° angle}} or -{{c3::A rectangle with two adjacent side of same length}}» Beware, sometime it is better if the name and the notation belong to the same deletion. For example, if X is a subset of a vector space, it is easy to guess that «Aff(X)» is «the Affine

Question

Answer

all definitions appears on the same card. Each definition being a different cloze deletion

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sually three deletions. The first is the name of the defined object. The second is the notation of this object. The third one is the definition. If an object admits many equivalent definitions, <span>all definitions appears on the same card. Each definition being a different cloze deletion. Indeed, if your card is «A square is ... » and you answer «A diamond with a 90° angle», you don't want to be wrong because it is written «A rectangle with two adjacent side of same len

are often similar. For example, in a linear algebra book, many results begin by «Let U,V be two vector space and T a morphism from u to V». It is helpful not to have to retype it in each cards. <span>Definition In a definition card, there is usually three deletions. The first is the name of the defined object. The second is the notation of this object. The third one is the definition. If an object admits many equivalent definitions, all definitions appears on the same card. Each definition being a different cloze deletion. Indeed, if your card is «A square is ... » and you answer «A diamond with a 90° angle», you don't want to be wrong because it is written «A rectangle with two adjacent side of same length». Therefore, the card is: «{{c1::A square}} is: equivalently -{{c2::A diamond with a 90° angle}} or -{{c3::A rectangle with two adjacent side of same length}}» Beware, sometime it is better if the name and the notation belong to the same deletion. For example, if X is a subset of a vector space, it is easy to guess that «Aff(X)» is «the Affine

Beware, no hypothesis in a deletion should introduce an object. «If, ... , then the center of P is not trivial» is hard to understand, whereus «Let P be a group. If ..., then the center of P is non trivial» is more clear.

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ted «Aff(X)». What you really want is to recall that «the set of vectors of the form Sum of x_ir_i, with x_i\in X and r_i in the field, where the sum of the r_i is 1» is «the affine hull of X». <span>Theorem A theorem usually admits two deletions. Hypothesis and conclusion. It sometime admits a third deletion if the theorem has a classical name. For example you may want to remember that the theorem stating «In a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. » is called «the Pythagorean theorem». Beware, no hypothesis in a deletion should introduce an object. «If, ... , then the center of P is not trivial» is hard to understand, whereus «Let P be a group. If ..., then the center of P is non trivial» is more clear. Hypothesis A first important thing is to always write all hypothesis. Sometime, some hypothesis are given in the beginning of a chapter and are assumed to be true in the whole chapter.

Question

Beware, no hypothesis in a deletion should introduce an object. «If, ... , then the center of P is not trivial» is hard to understand, whereus «Let P be a group. If ..., then the center of P is non trivial» is more clear.

Answer

two

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Theorem A theorem usually admits two deletions. Hypothesis and conclusion. It sometime admits a third deletion if the theorem has a classical name. For example you may want to remember that the theorem stating «In a right

ted «Aff(X)». What you really want is to recall that «the set of vectors of the form Sum of x_ir_i, with x_i\in X and r_i in the field, where the sum of the r_i is 1» is «the affine hull of X». <span>Theorem A theorem usually admits two deletions. Hypothesis and conclusion. It sometime admits a third deletion if the theorem has a classical name. For example you may want to remember that the theorem stating «In a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. » is called «the Pythagorean theorem». Beware, no hypothesis in a deletion should introduce an object. «If, ... , then the center of P is not trivial» is hard to understand, whereus «Let P be a group. If ..., then the center of P is non trivial» is more clear. Hypothesis A first important thing is to always write all hypothesis. Sometime, some hypothesis are given in the beginning of a chapter and are assumed to be true in the whole chapter.

Question

Beware, no hypothesis in a deletion should introduce an object. «If, ... , then the center of P is not trivial» is hard to understand, whereus «Let P be a group. If ..., then the center of P is non trivial» is more clear.

Answer

Hypothesis and conclusion

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Theorem A theorem usually admits two deletions. Hypothesis and conclusion. It sometime admits a third deletion if the theorem has a classical name. For example you may want to remember that the theorem stating «In a right triangle, the square of the hypotenus

ted «Aff(X)». What you really want is to recall that «the set of vectors of the form Sum of x_ir_i, with x_i\in X and r_i in the field, where the sum of the r_i is 1» is «the affine hull of X». <span>Theorem A theorem usually admits two deletions. Hypothesis and conclusion. It sometime admits a third deletion if the theorem has a classical name. For example you may want to remember that the theorem stating «In a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. » is called «the Pythagorean theorem». Beware, no hypothesis in a deletion should introduce an object. «If, ... , then the center of P is not trivial» is hard to understand, whereus «Let P be a group. If ..., then the center of P is non trivial» is more clear. Hypothesis A first important thing is to always write all hypothesis. Sometime, some hypothesis are given in the beginning of a chapter and are assumed to be true in the whole chapter.

Question

Beware, no hypothesis in a deletion should introduce an object. «If, ... , then the center of P is not trivial» is hard to understand, whereus «Let P be a group. If ..., then the center of P is non trivial» is more clear.

Answer

a classical name

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Theorem A theorem usually admits two deletions. Hypothesis and conclusion. It sometime admits a third deletion if the theorem has a classical name. For example you may want to remember that the theorem stating «In a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares

ted «Aff(X)». What you really want is to recall that «the set of vectors of the form Sum of x_ir_i, with x_i\in X and r_i in the field, where the sum of the r_i is 1» is «the affine hull of X». <span>Theorem A theorem usually admits two deletions. Hypothesis and conclusion. It sometime admits a third deletion if the theorem has a classical name. For example you may want to remember that the theorem stating «In a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. » is called «the Pythagorean theorem». Beware, no hypothesis in a deletion should introduce an object. «If, ... , then the center of P is not trivial» is hard to understand, whereus «Let P be a group. If ..., then the center of P is non trivial» is more clear. Hypothesis A first important thing is to always write all hypothesis. Sometime, some hypothesis are given in the beginning of a chapter and are assumed to be true in the whole chapter.

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，在地震作用下，房子 的位移越大，其等效的加速度也就越大，换言之，所受的地震力也就越大。 也就是说，我们所应该考虑的地震力的大小，就是最下图这条黑色曲线再乘上房子的质量。

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上一篇我们讨论了如何从地震的实测地面加速度入手，得到房子的等效地震加速度，也就是 所需要承受的地震力。地震作用的大小，其实只跟房子的自振周期有关。

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最终的结果，我们得到了大量的自振周期与等效地震加速度相对应的数据

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对于同一个自振 周期而言，位移、速度、加速度是等比例缩放的，所以我们可以把这三个反应谱画在同一张 图形里

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) Tweet (102) Share (30) Save Capture of Google.com from The Internet Archive's Wayback machine on the evening of January 30th, 2018 during Donald Trump's SOTU address. The Internet Archive Afte<span>r earlier tweeting, deleting and re-posting unsupported claims that Google is "suppressing voices of Conservatives," this afternoon the President's personal Twitter account posted a new attack video. It claimed that the company failed to promote his State of the Union address with a link on its homepage after doing so for President Barack Obama, but several things about it don't hold up. In a statement to the media, Google explained that isn't quite true, since a President's first addres

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只有当我们取同样的列的时候，比如第一列的转置，乘以质量矩阵，再乘以第一列，这时候结果才不为 0这也就是正交的概念，所谓的 orthogonality。把特征矩阵的转置，乘以质量矩阵或者刚度矩 阵，再乘以特征矩阵，我们就能得到 principal 质量矩阵或者刚度矩阵。

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问题又来了，如何知道这三种振型在地震下的位移是多少呢？如何知道每种振型占多大的份 额呢？怎么确定振型的叠加系数呢？众位看官，且听我们下回分

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Tags

#Javascript

Question

In HTML, JavaScript code must be inserted between

Answer

<script> and </script> tags.

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DOM JS HTML Input JS HTML Objects JS HTML Events JS Browser JS Quiz JS Certificate JS References JavaScript Objects HTML DOM Objects JavaScript Where To ❮ Previous Next ❯ The <script> Tag <span>In HTML, JavaScript code must be inserted between <script> and </script> tags. Example <script> document.getElementById("demo").innerHTML = "My First JavaScript"; </script> Try it Yourself » Old JavaScript examples may use a type attribute: <script