#Find the value of logarithmic expression

[surajkumasblog]

Understanding Math.log2() in JavaScript

JavaScript provides various mathematical functions to perform complex calculations, and one such function is Math.log2(). This function is used to compute the base-2 logarithm of a given number. In this article, we will explore the usage, examples, and practical applications of Math.log2() in JavaScript.

What is Math.log2()? The js log2 returns the base-2 logarithm (logarithm to the power of 2) of a given number. The mathematical representation of this function is:

log ⁡ 2 ( 𝑥

)

log ⁡ ( 𝑥 ) log ⁡ ( 2 ) log 2 ​ (x)= log(2) log(x) ​

This function is useful in scenarios where calculations involving powers of two are required, such as binary computations, data compression, and bitwise operations.

Syntax javascript Copy Edit Math.log2(x) x: A positive number for which the base-2 logarithm needs to be calculated. Return Value: A number representing the base-2 logarithm of x. Examples Let's look at some practical examples of using Math.log2():

javascript Copy Edit console.log(Math.log2(1)); // Output: 0 console.log(Math.log2(2)); // Output: 1 console.log(Math.log2(4)); // Output: 2 console.log(Math.log2(8)); // Output: 3 console.log(Math.log2(16)); // Output: 4 console.log(Math.log2(32)); // Output: 5 In these examples, we can see that Math.log2() returns the exponent when a number is expressed as a power of two.

Handling Edge Cases If the input is 0, the function returns -Infinity:

javascript Copy Edit console.log(Math.log2(0)); // Output: -Infinity If the input is negative, it returns NaN (Not a Number):

javascript Copy Edit console.log(Math.log2(-5)); // Output: NaN If the input is Infinity, it returns Infinity:

javascript Copy Edit console.log(Math.log2(Infinity)); // Output: Infinity Applications of Math.log2() Binary Representation Calculations Since computers operate in binary (base-2), Math.log2() is useful for finding bit lengths and optimizing data structures.

Algorithm Complexity Analysis Logarithmic operations are commonly used in algorithms such as binary search, where the time complexity is O(log2(n)).

Entropy and Compression In information theory, logarithms help measure entropy and compress data efficiently.

Audio Signal Processing Some digital signal processing (DSP) techniques use logarithmic scales to manage sound intensity.

Conclusion The Math.log2() function in JavaScript is a simple yet powerful tool for computing base-2 logarithms. It is especially useful in computing powers of two, binary calculations, and algorithmic optimizations. By understanding how it works and where it can be applied, developers can use it efficiently in various programming scenarios.

[jonathankatwhatever]

I can’t get anything out in writing. I keep trying but the effort makes me queasy, and I’m having trouble focusing with both eyes. Is there a way to adjust the margin in Notes? I keep expecting the cursor to continue into the black and my eyes have to shift when it suddenly jumps. I’m trying to get out something, anything, but there’s a disconnect between the thoughts I’ve been having and the actuality of rendering them. I doubt I’ll get anything out here, so you can see the spiral down effect.

Trying to get logarithm. Again. I know the natural is the count from 1 to 2 in 1Space and which forms the ln scale in 0Space. And thus, the base 10 log is Attachment + SBE3, which extends 1 and 0 at either End of chaining and which thus transports over the interval because each count within the interval extends through the various counting methods, thus embedding the various values, from integers on, across iterations and divisions of real number spaces.

Oh, I had a thought about a fundamental theorem, which is that statement above, that this is bridge which connects 1Space and 0Space, where you can see how each 1Space address relates to a specific 0Space form, which then scales using that 1Space relation.

The idea is that the ideal statements, like Alternation, generates representational forms which both construct and describe what happens, at whatever level you care to see. Look at wave-particle again through that light. It reads a binary form choice: you either count this or you count that, meaning you switch from a count of objects to a count of objects in IC. This can be a count of an object and the count of an object in IC, meaning the idea scales like anything else, so one object is another’s IC. The point of probability is to map the extent and the shape of the object’s IC, meaning if the object were an IC and if the IC were an object.

Will I ever get that correct? I mean the idea of probability as an abstraction, like the statistics of baseball versus the actuality of what happened.

Look at doubling. It’s ln(2)/ ln(1+1/r/100), which translates into the count of 2 in 0Space expressed in the scale of the count of 1 to 2 in 1Space divided by the count of 1+the interest rate in hundredths. That’s all it is. My head is so backwards that I thought out that silliness. We end up with that or with just ln(2)/r, so we have either the 72 rule or 69.3. These fit specific doubling circumstances, like continuous or periodic to reach double. The difficulty for me is keeping 1Space and 0Space labels straight in my head. Like maybe a better way of saying it would be that ln(n) is the translation factor between the 1Space End and the 0Space End.

The 1Space End is the statement of the relation, which in the case of the natural log is the count from 1 to 2 when that count is associative, meaning that each piece is considered one of that many pieces which all multiplied together equal the other result, the 0Space End of the calculated value. Does that help? Why multiply the pieces? It’s really the reverse: you take the space and divide it into pieces and those can be additive or multiplicative. But then it hits me that there are lots of ways to generate e, so I shouldn’t be this focused on the one. Take the factorial versions. Why is dividing the factorial into 1 gs come to e? Well, I think it’s because we define 0! as 1, meaning we begin by labeling 1 as 0. That then equates the rest well because you’re counting from that 1 to the infinite, which maps the other way. That was shockingly easy to see.

Oh, I have been feeling like crap but I somehow managed to do a complete foldover. My first ever. Took my by surprise. I was bent over, had been exploring the feeling that I should be able to get into positions that make sense, that I need to release those inhibitions which color how I perceive what is possible, and of course bet on myself, and I found myself turning my thumbs to parallel and reaching out then pulling in to find that I had cronnected the heel of my palm all the way up to the fold at the waist. And I could push against it. That little twist from making an upside down heart to a W, was like if I unfolded wings.

[iambloop]

Math Doodle #1: Logs, Intuition and Approximations

Shortly after sharing Math Doodle #0, I played around a bit more with the expansion of ln(1+x). In particular, I wanted to see if I could use it to find ln(3) or ln(5) [Spoiler: you can't, but you can]. That lead me to think more generally about logarithms and why my intuition for them is so poor. I consider myself math-savvy, and within the little math I know, I know it fairly well, so I set out to see if I can improve my intuition for calculating logarithms.

I spent considerable time thinking first about those transformations over which I am able to reason intuitively (linear equations, quadratics, squares). My first hunch was that, a prerequisite for this instinct might be convenience: these tend to be continuous monotonic transformations (well, not entirely - but squaring is almost a monotonic transformation, or at least, the change in rate of change is conveniently placed at x = 0).

Logarithms, despite being continuous and monotonic, offer very little in the way of similar intuition. I attempted to tighten the bounds - so if log_2 maps [128, 256) -> [7, 8), can we partition these and come up with maps of finer resolution, without doing a lot of involved calculations? A little bit. {Hint: log_2 maps [128, 128*(2^0.5)) -> [7, 7.5) approximately}, but not too useful.

All of this made me go back to the transformations I considered initially. It made me realize that I am able to claim intuition for those only under very specific conditions - I know how the squaring transformation behaves, but intuition about its behavior does not help me compute large squares, or invert them. So there is, in a way, a difference to note - intuition about the behavior of a transformation, and intuition about the cold hard calculation of a transformation.

Trivia: Interestingly, the history of logarithms shows that the initial motivation for them came from their ability to simplify other arithmetic calculations: multiplying numbers with many digits is quite tedious, and logarithms offered a way out. They did rely on logarithm tables for this, though.

Circling back to the opening of this post, I tried to see if I could use the Taylor expansion of ln(1 + x) derived in Math Doodle #0 to get some bigger logarithms. By direct substitution, that's not possible, and that's quite expected: the series diverges for all |x| > 1 (this condition can be derived from the convergence test for alternating series).

However, I found a neat trick that allows one to use this expansion for an arbitrary positive integer k. Of course, this gets tedious quickly for large values of k, but that it can be expressed so succinctly is still beautiful.

[allmathtricks]

In this video tutorial explained about logarithm applications with examples and solutions based the logarithmic formulas

[fractioncalc-blog]

10 Leading Free Online Calculators to Make Your Mathematics Homework a Piece of Cake

Excellent pupils not just work hard, they function smart. They understand that when it comes to doing well in mathematics, having the right devices can save you time, money, as well as headache.

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The most effective part is: they're all completely totally free Fraction Calc. Keep reading to uncover which online calculators you must add to your mathematics homework tool kit.

 The Listing: Free Online Calculators

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 Basic online calculators enable you to perform math estimations, as well as locate square root worths and also portions.

 Calculator-1. com is an extremely basic and hassle-free basic online calculator. It has an excellent interface as well as does not require you to download anything. So if your research involves great deals of adding, deducting or locating percentages, this is a practical solution for you.

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 Scientific calculators do the same points as fundamental calculators, yet they likewise enable you to do operations with exponents, logarithms, trigonometric features as well as more.

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 The scientific calculator from Math.com. This is a basic scientific calculator that appears like a handheld calculator. The interface is a little small, but aside from that, it's an excellent tool if you wish to just switch rather than input a bunch of mathematical signs.

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Bottom line: a basic graphing option for those of you who love buttons.

 Formula "Graphers".

 These helpful flash applications will graph the equations for you. Take note of the instructions, as these programs may create wrong graphs if your inputs aren't "to the T.".

 There is a cost-free equation "grapher" available from FreeMathHelp.com.

 Bottom line: a standard online application to assist you graph equations, minus every one of the other scrap.

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 Formula solvers are applications that aid simplify and also fix formulas and also systems of equations.

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Profits: an extensive equation solving service.

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 Amazing Mathematics Apps.

 Although this blog post is focused on online calculators, we couldn't help yet point out a number of worthwhile calculator applications for those of you who utilize phones and also tablets for almost everything.

 The main Mathway app. If you have an Android gadget, you are in luck. Once downloaded and install, this application does not call for a network link. It solves a selection of mathematics problems, from pre-algebra to statistics as well as even more. You additionally have an option to obtain a costs subscription and also obtain step-by-step instructions for resolving numerous mathematics problems.

 Graphing Calculator application by Herbert Regulation's Application. Referred to as among the very best graphing calculator apps, this is offered for Android and also Kindle Fire. It is a pretty detailed graphing calculator. It might take you a couple of attempts t figure out just how to use it right, yet it is well worth the initiative if you do not want to give out $100-$ 200 for a portable graphing calculator.

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 Principles.

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 A huge piece of non-traditional trainee body is consisted of on-line pupils. Numerous institutions place a lot count on the pupil in regards to adhering to academic integrity standards. Do not capitalize on the liberty that you have as a non-traditional pupil.

[physics-scholars]

If 4^x+3^x=5^x, then the value of 

X=?

🍁

To solve for x in the equation 4^x + 3^x = 5^x, we can use logarithms. Taking the logarithm of both sides of the equation with base 10, we get:

xlog10(4) + xlog10(3) = x*log10(5)

Dividing both sides by x, we get:

log10(4) + log10(3) = log10(5)

Using a calculator or logarithm tables, we can find that:

log10(4) ≈ 0.60206

log10(3) ≈ 0.47712

log10(5) ≈ 0.69897

Substituting these values into the equation, we get:

0.60206 + 0.47712 ≈ 1.07918 ≈ 0.69897

Therefore, x ≈ 1.07918.

Is the method of solving correct? This is not correct. Because You can't take the logarithm of numbers added separately.

Cross check 

4² + 3² = 25 = 5²

➖

1. Using logarithmic identity method:

If 4^x+3^x=5^x, then the value of 

X=?........

The equation 4^x + 3^x = 5^x can be solved by taking the natural logarithm of both sides. We have:

ln(4^x + 3^x) = ln(5^x)

Using the logarithmic identity ln(a^b) = b*ln(a), we can simplify the left-hand side:

xln(4) + xln(3) = x*ln(5)

Dividing both sides by x gives:

ln(4) + ln(3) = ln(5)

Taking the exponential of both sides gives:

4*3 = 5

which is clearly false. Therefore, there is no value of x that satisfies the equation 4^x + 3^x = 5^x.

➖

Using Binomial method:

If 4^x+3^x=5^x, then the value of 

X=?........

Use binomial method 

We can use the binomial theorem to expand the terms on the left-hand side of the equation:

(4+3)^x = 5^x

Simplifying the left-hand side using the binomial theorem, we get:

4^x + 3^x + (terms containing higher powers of 4 and 3)

Since the binomial expansion of (4+3)^x contains only positive terms, we know that the terms containing higher powers of 4 and 3 are positive. Therefore, we can write:

4^x + 3^x < (4+3)^x = 7^x

Substituting this inequality into the original equation, we get:

4^x + 3^x < 5^x

This inequality is true for all x, since the left-hand side is less than the right-hand side. Therefore, there is no value of x that satisfies the equation 4^x + 3^x = 5^x.

➖

Using Newton Ralph method:

If 4^x+3^x=5^x, then the value of 

X=?........

Newton Ralph method 

The equation 4^x + 3^x = 5^x can be solved using numerical methods such as the Newton-Raphson method, which is an iterative method for finding the roots of a function. We can rewrite the equation as:

f(x) = 4^x + 3^x - 5^x = 0

The derivative of f(x) with respect to x is:

f'(x) = 4^x * ln(4) + 3^x * ln(3) - 5^x * ln(5)

The Newton-Raphson method starts with an initial guess x_0 and iteratively refines the estimate using the formula:

x_{n+1} = x_n - f(x_n) / f'(x_n)

We can use a calculator or a computer program to implement this iterative formula. For example, using an initial guess of x_0 = 1, we obtain the following values:

x_1 = 1.184666

x_2 = 1.175669

x_3 = 1.175560

x_4 = 1.175560

After four iterations, the estimate converges to x ≈ 1.175560. 

However, this solution cannot be expressed in terms of simple algebraic functions and must be obtained numerically.

However, this solution cannot be expressed in terms of simple algebraic functions and must be obtained numerically.

➖

Fermat's Last Theorem states that for any integer n greater than 2, there are no three integers a, b, and c that satisfy the equation a^n + b^n = c^n.

However, the equation given in this question, 4^x + 3^x = 5^x, is not in the form of Fermat's Last Theorem. Therefore, we cannot use Fermat's Last Theorem to solve this equation.

Instead, we can try to use algebraic techniques to solve for x. One possible approach is as follows:

We can rewrite the equation as:

(4/5)^x + (3/5)^x = 1

Letting y = (4/5)^x, we can rewrite the equation as:

y + (3/5*y) = 1

Solving for y, we get:

y = 5/8

Substituting back, we get:

(4/5)^x = 5/8

Taking the logarithm of both sides, we get:

x*log(4/5) = log(5/8)

Solving for x, we get:

x = log(5/8) / log(4/5)

Using a calculator or logarithmic tables, we get:

x ≈ 0.756

Therefore, the value of x is approximately 0.756.

➖

The final way to solve:

4^x+3^x=5^x is, 

If (1+3)^x+(1+2)^x=(1+4)^x, then the value of 

X=?........

Use binomial method ....

We get answer 2,✅

If (1+3)^x+(1+2)^x=(1+4)^x, then the value of 

X=?........

Use binomial method 

We can use the binomial theorem to expand (1+3)^x and (1+2)^x as follows:

(1+3)^x = 1^x + x31^(x-1) + (x choose 2)3^21^(x-2) + ... + (x choose k)3^k1^(x-k) + ... + 3^x

(1+2)^x = 1^x + x21^(x-1) + (x choose 2)2^21^(x-2) + ... + (x choose k)2^k1^(x-k) + ... + 2^x

Notice that all terms in the expansions have a factor of 1^k, so we can rewrite the given equation as:

1 + x*3^(x-1) + (x choose 2)*3^(x-2) + ... + (x choose k)*3^(x-k) + ...

1 + x*2^(x-1) + (x choose 2)*2^(x-2) + ... + (x choose k)2^(x-k) + ...

= 1 + x4^(x-1) + (x choose 2)*4^(x-2) + ... + (x choose k)*4^(x-k) + ...

Simplifying, we get:

2 + x3^(x-1) + x2^(x-1) + (x choose 2)(3^(x-2) + 2^(x-2)) + ...

= x4^(x-1) + (x choose 2)*4^(x-2) + ...

Notice that all terms except the first have a factor of 4^k, so we can rewrite the equation as:

2 + x3^(x-1) + x2^(x-1) + (x choose 2)*(3^(x-2) + 2^(x-2))

= 4^x - (x choose 0) - (x choose 1)*4^(x-1)

Simplifying further, we get:

2 + x3^(x-1) + x2^(x-1) + (x choose 2)(3^(x-2) + 2^(x-2)) = 34^(x-1) - x*4^(x-1)

Adding x*4^(x-1) to both sides, we get:

2 + x3^(x-1) + x2^(x-1) + (x choose 2)(3^(x-2) + 2^(x-2)) + x4^(x-1) = 3*4^(x-1)

Dividing both sides by 4^(x-1), we get:

2/4^(x-1) + x*(3/4)^{x-1} + x*(2/4)^{x-1} + (x choose 2)*[(3/4)^{x-2} + (2/4)^{x-2}]

= 3

Now, let's focus on the left-hand side of the equation. Notice that all terms except the first have a factor of (3/4)^{k-1} or (2/4)^{k-1}. Therefore, we can rewrite the equation as:

2/4^(x-1) + (3/4)^{x-1}[x + (x choose 2)(3/4) + (x choose 3)(3/4)^2 + ...] + (2/4)^{x-1}[x + (x choose 2)(2/3) + (x choose 3)*(2/3)^2 + ...] = 3

Now, we can simplify the terms inside the square brackets using the binomial theorem:

(3/4)^{x-1}[x + (x choose 1)(3/4) + (x choose 2)(3/4)^2 + ...]

= (2/4)^{x-1}[x + (x choose 1)(2/3) + (x choose 2)(2/3)^2 + ...]

Notice that the terms inside the square brackets are the expansions of (3/4 + 2/4)^x and (3/4 + 1/4)^x, respectively. Therefore, we can simplify the equation further:

2/4^(x-1) + (3/4)^{x-1}(5/4)^x + (2/4)^{x-1}(4/3)^x = 3

Let's rewrite the equation in terms of the variable y = (4/3)^x:

2/4^(x-1) + (3/4)^{x-1}(5/4)^x + (2/4)^{x-1}y = 3

Multiplying both sides by 4^(x-1), we get:

2 + 3^x*(5/4)^x + 2^xy = 34^(x-1)

Substituting y = (4/3)^x, we get:

2 + 3^x*(5/4)^x + 2^x*(4/3)^x = 3*4^(x-1)

Multiplying both sides by 3^x, we get:

23^x + 5^x + 2^x(3/2)^x = 3^x*4^(x-1)

Dividing both sides by 2^x*3^x, we get:

(2/3)^x + (5/6)^x = 2

Let's define f(x) = (2/3)^x + (5/6)^x. Then, we need to find the value of x such that f(x) = 2.

Note that f(x) is a decreasing function for x > 0, since:

f'(x) = -ln(2)(2/3)^x - ln(5/6)(5/6)^x < 0 for x > 0

Therefore, f(x) = 2 has at most one solution. We can see that x = 2 is a solution, since:

f(2) = (2/3)^2 + (5/6)^2 = 4/9 + 25/36 = 2

Therefore, the value of x is x = 2.

➖

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[neth-dugan]

Nine Worlds - Saturday

Friday found [here]

I got a full night’s sleep! I was still tired but it wasn’t too bad. I think I grabbed a nap at some point between panels but for the life of me I can’t say for sure when. Just that I really needed it. It was also the first day when I sat on or ran a panel.

ALCHEMY AND CHEMISTRY IN SF/FANTASY

This ended up being more about the history of chemistry and alchemy through time with a few examples of how it isn’t done accurately in either SF or Fantasy. Not what I was expecting, to be sure, but I still enjoyed it. I recognised a lot of it from a programme about the history of science and chemistry by Prof Jim Al Khalili on the BBC. The person presenting used to teach Chemistry and thus knew their stuff.

My only concern is that they said they were probably going to take longer than the slot assigned to them willy nilly like. Which. People have to get to things. Thankfully volunteers do pop their head in near the end of the slot if needed and it over ran a bit but not by too much. 

Something that is important to note, and that not many realise but the presenter here made sure people knew, is that alchemy and chemistry aren’t that different in many ways. It isn’t like astrology and astronomy. Alchemy is where chemistry came from, like its ancestor, more than anything else, and there was this period of transition where it gradually grew from alchemy into what we realise as the modern day science of chemistry. 

HARRY POTTER AND THE CURSED CHILD APPRECIATION

... behind the scenes footage of the first cast rehearsing the play. Clemmett as Albus and Boyle as Scorpius. Not in costume/wig but look at Albus glomping his best mate. Look!

I went to see this play when it was still new, when we had to keep the secret safe and before the script was published. I loved it. I remember the little girl next to me in utter awe about the stage as we walked in. I remember of the Dementor flying just above my head. The thump that got you in your core as time travel took place. Adoring Scoripus so so much. My heart breaking during the scene with Albus and Scorpius on the stairs, and with the cast at the end when they must let events play out. And I remember learning that a lot of Potter fans weren’t a big fan of the play. 

So when I got an e-mail asking if I’d be willing to be on a panel about appreciating Cursed Child? I was all in. And when we were trying to figure out who would mod it I volunteered and so it began. 

It was a great panel. Me who had only seen it, not read it. Someone who’d only read it. People who’d done both. People who know a lot about plays and how they work and theatre and the like. 

We talked about the legacy of pressure of family, how that impacted Albus and Scorpius, and how there was these two stories - the kids and the adults. How we think it works that the characters aren’t these perfect adults and parents who do no wrong. Harry has a lot of trauma that the others around him don’t and that brushes up against the plot and also the needs Albus himself has. It’s messy and we think it works. There was also a lot of discussion around how it works as a play, how that makes it different from a book and the impact this probably had on reception. Play texts are fundamentally different from traditional prose and this can make it hard for those not used to reading them, who don’t know how to literally read between the lines. And we had huge appreciation for the stage craft from all sides of production.

I’m not turning this into a blow by blow of the panel. But there was a lot of love for the play. And considering this panel was up against the Black Panther panel? I think we did well. I am sad I didn’t get to go to the Black Panther panel but Nine worlds has not yet invented time travel so alas. I had a lot of fun, I hope others did too.

TOP OF THE SFF COPS

...tragically nobody mentioned Odo until I suggested him at the end. So I’m sticking him in here.

This panel is slightly infamous at this point, and going in I had no idea. Whilst I knew there were issues with a separate panel and a serving police officer being placed on it, I didn’t know this one would blow up. So far as I knew there’d been a similar one last year and I’d only heard good things. I also know that I have a lot of privilege being white and despite being queer I pass.... but I’ll go into that in a separate post later. Will post a link here when up.

A lot of genre fiction has police or security type characters in it. From X-Files to Star Trek to Discworld to Alien Nation and way way more. And like many professions who are portrayed on TV or otherwise intersect with it a lot (doctors, archeologists, writers, scientists) a lot of it isn’t done particularly accurately. So a group of people who work in law enforcement in various ways decided to do a session on which characters do their actual job best and in line with actual standards. It was made clear that they were there on a personal basis and not as an on duty or official representative type thing. 

They put forth a set of criteria - things like knows the law, exercises discretion, compassion, does the day to day hard work and not just the action stuff and so on. Mulder? Is right out. Scully however was in, and the only character I recognised. So I was mostly went by who sounded the best and it ended up being the guy from Discworld who wont the vote. I don’t know the books well though so who knows. This was literally the entire panel. Still, I can see in retrospect how it would make some people uncomfortable.

It was an okay panel. I wasn’t expecting it to be a big vote thing, and more of a discussion type thing but in hindsight  that may have caused more issues. 

LET THE PAST DIE: SACRIFICING SACRED COWS IN STAR WARS THE LAST JEDI

This was put into a room far too small for what it needed to be. People were crowding in and it wasn’t great. Not long after it started a volunteer came in and offered up the room across the hall that had way more seating, so we voted on it and unsurprisingly we moved across. This would have been easier for some to do than others but it also have people who needed more space that space whilst letting people in. But it likely caused issues for those who have a harder time moving. I’d had a big dizzy spell on my way to this but seemed to be okay moving. 

Part way through I decided to start live tweeting it and you can find that HERE. I’m not really sure what else to add but it was an interesting panel. Lots of talk about letting whiney fanboys whine to themselves, a lot of stuff they keep going on about was also in or also missing from the original trilogy. Nobody explained Palpatine until the prequel trilogy after all. He just turned up as a vague big bad when needed for plot. One panelist wished them the prequel trilogy ‘they deserve’ which amused me.

What I found most interesting though was a note on the green milk scene with Luke. I’ve seen people joke and deride that scene a lot since the movie came out. But one of the panelists, a woman from with roots in Hong Kong, said that it really struck a chord with her in relation to the diaspora. It reminded her of going into Tesco and finally seeing a noodle that isn’t exactly the same but reminds her a lot of something from home. And this was Luke claiming something that reminds him of where he came from even as he’s far away from it. It had honestly never occurred to me but it makes so much sense, and gives that scene a lot more value. I have no idea if the writers did that on purpose or if they did it as the easy joke though.

LAYERS OF MEANING: THE DIMENSIONAL DIFFERENCES BETWEEN ENGLISH, CHINESE, AND SIGN LANGUAGE

I loved this! This was hosted by a woman who was born in China and whose first language is Mandarin, but moved to Britain as a kid and later in life learnt BSL and now works as a sign language interpreter. She does this for Nine Worlds in various panels, as well as hosting a few sessions relating this to herself. And so she decided to do a panel that talks about her three languages as they’re all very different and go at language in different ways.

It was awesome.

...Mulan is not at all relevant but she is Chinese this is the best gif I could find that is both nerdy and has the writing system talked about in this session. And also, y’know, Mulan.

She isn’t a linguist, which she made sure everyone knew. But I think that made it work. It was also kinda amused because on the front row on one half of the aisle was a native speaker of BSL, and on the front row of the other half was someone who knows Mandarin better and I get the feeling probably came from a different part of the Chinese speaking world. But I’m just assuming there. And the interplay between the three was informative but also amusing.

I kinda knew the general concepts of what she was talking about. Or very vague versions of the concepts anyway. English is phonetic and the letters themselves have no meaning. D implies nothing when used in dog or door etc and it can be polysyllabic. Mandarin is logarithmic, it’s tonal and uses that rather than multiple syllables and it doesn’t have individual letters. The symbol for ‘female, woman’ 女 but as a radical can become a part of words like ‘calm/peace’ 安 which has the radicals for woman and home. Which, being at home is calming so I get that. There are also some not great words with woman as a radical too. 

And then there is sign language which doesn’t have just the mouth to speak. It has two hands, your face and your mouth. It takes place in a 3D space and adjectives are often included as part of the word, not separate to it. You can say entire sentences with a gesture, and you pick up on ways of expressing things because they look interesting in the same way you’d vocalise something a certain way because it sounds nice..

It was interesting. I don’t know a lot about language, and anything too technically worded would have lost me. But this didn’t and this was another of my favourite panels this year.

THE POLITICS OF ACTIVISM IN MARVEL COMICS

So I don’t know a lot about the comics. I’ve read a couple Wolverine books but that is about it. But I thought I’d go along and listen cause it seemed interesting. Jaime was hosting it, someone who’d worked on the comics was meant to be there but had to pull and out and so Jaime was left by themselves but... Jaime did a good job. 

A lot of the specifics were beyond me. But it seemed to be a common theme that activism within the comics would change the world too much beyond the baseline - a baseline that needed to remain stable. And a fear of how the much vaulted cis het white male would take it I’d imagine though I don’t remember that being touched on a lot.

I did comment at one bit. I tried to do a ‘I only really know the movies so maybe this is stated in-verse’ type of disclaimer and then was given what felt a bit like I’d been shot down with ‘comics only!’ despite others bringing MCU up before including by the mod. If they hadn’t, I’d have said nothing at all. But I may have just been a bit sensitive. In any case, I wondered if perhaps the characters did do things, within the parameters of their non-hero lives. Tony Stark is the CEO of a massive company after all, maybe he funds charities, treats workers well and make sure workers rights are a thing etc, invests responsibly. I dunno. And we just don’t see it much because it isn’t about punching people. I don’t remember a lot of what was said after that as I was too busy berating myself for daring to speak in a comics panel. Note to self, never go to one again, it is not meant for me. The vague idea I had about an X-Men as metaphor panel for next year? Likely wont submit that now.

But it was well moderated. People got a chance to speak, bounce ideas around and I think what I said was taken in as part of that. The session didn’t get stuck on one thing and it flowed through topics and ideas and the like and it was interesting. Except for that one moment I did genuinely enjoy it. Given the last minute alterations due to a key component having to drop out it was very well done.

... why do tumblr gifs all have to be so big? 

DR MAGNETHANDS

This is kind of hard to describe, but it was very adult friendly, It had Captain Picard with swearing crashing the moon onto London, and Theresa May as a monster head fighting against a butterfly made out of lamb chops in some kind of anti-Brexit accidental metaphor. Especially as the lamb chop butterfly was a heroic character that Theresa treated as a bad guy.  Everyone boo’d her at every turn.

It’s kinda hard to describe in any logical way what this session was like. Drawn off of audience suggestions and participation it’s basically crack fic made manifest.

... giant jellyfish in the sky didn’t happen, but were a distinct possibility.

It was just pure fun really. I laughed a lot, I had a great time, it was awesome.

SEX AT HOGWARTS

Another session that needed a bigger room. I got there pretty early and so had a good seat and then being a tad hyper I decided the room needed mood music. So I searched for romantic music in Spotify and played it. This is whilst the room was mostly empty and I did stop before the session started. Those who could actually hear it seemed amused. Not sure if it was at me or the music. And there were lots of tipsy people around.

We were also graced with Professor McGonagall who visited us and gave us all a good staring at. 

Much like the late night panel on Friday, it was a pretty lively discussion with lots of absurdity and very clearly adult only. There was a sensible power point that combined info released after the books about who was dating who, comics and some parodies of what sex ed at Hogwarts might look like. It’s not what I’d have done but given it’s slot it worked out pretty well.

...given the topic, probably best to have a gif of adult characters. Also it’s cute.

There was discussion of what counts as bestiality in a world where all sorts of beings are sentient. I even posited the question that if someone kept up with polyjuice for nine months, could someone usually lacking a uterus become pregnant and give birth? This was laughed down and dismissed as it was meant to. Think it was kinda obvious in how I delivered it that I was being absurd. There was a lot of speculation of what portraits get up to and.... yeah. it was exactly as it sounds.

A lot of fun, and probably nothing teens haven’t heard or thought before but still, a good thing they weren’t there.

I’d have liked to go to bar and play Slash but alas, I was tired so I went to bed. Hoping for sleep and rather sad that the next day would be my last for another year.

[SUNDAY HERE]

[sg-physics-tuition]

Challenges that most students face in Physics and their solutions

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Up to date remote data access for pandas, works for multiple versions of pandas.

< Data Indexing and Selection | Contents | Handling Missing Data >

Since Python 3.4, pathlib has been included in the Python standard library. Path objects provide a simple and delightful way to interact with the file system. The pandas-path package enables the Path API for pandas through a custom accessor.path.Getting just the filenames from a series of full file paths is as simple as myfiles.path.name. Dask uses existing Python APIs and data structures to make it easy to switch between NumPy, pandas, scikit-learn to their Dask-powered equivalents. You don't have to completely rewrite your code or retrain to scale up. A REST API based on Flask for serving Pandas Dataframes to Grafana. This way, a native Python application can be used to directly supply data to Grafana both easily and powerfully. It was inspired by and is compatible with the simple json datasource. Pandas is a fast, powerful, flexible and easy to use open source data analysis and manipulation tool, built on top of the Python programming language. Install pandas now!

One of the essential pieces of NumPy is the ability to perform quick element-wise operations, both with basic arithmetic (addition, subtraction, multiplication, etc.) and with more sophisticated operations (trigonometric functions, exponential and logarithmic functions, etc.).Pandas inherits much of this functionality from NumPy, and the ufuncs that we introduced in Computation on NumPy Arrays: Universal Functions are key to this.

Pandas includes a couple useful twists, however: for unary operations like negation and trigonometric functions, these ufuncs will preserve index and column labels in the output, and for binary operations such as addition and multiplication, Pandas will automatically align indices when passing the objects to the ufunc.This means that keeping the context of data and combining data from different sources–both potentially error-prone tasks with raw NumPy arrays–become essentially foolproof ones with Pandas.We will additionally see that there are well-defined operations between one-dimensional Series structures and two-dimensional DataFrame structures.

Ufuncs: Index Preservation¶

Because Pandas is designed to work with NumPy, any NumPy ufunc will work on Pandas Series and DataFrame objects.Let's start by defining a simple Series and DataFrame on which to demonstrate this:

If we apply a NumPy ufunc on either of these objects, the result will be another Pandas object with the indices preserved:

ABCD0-1.0000007.071068e-011.000000-1.000000e+001-0.7071071.224647e-160.707107-7.071068e-012-0.7071071.000000e+00-0.7071071.224647e-16

Any of the ufuncs discussed in Computation on NumPy Arrays: Universal Functions can be used in a similar manner.

UFuncs: Index Alignment¶

Pandas Challenge Github

For binary operations on two Series or DataFrame objects, Pandas will align indices in the process of performing the operation.This is very convenient when working with incomplete data, as we'll see in some of the examples that follow.

Index alignment in Series¶

As an example, suppose we are combining two different data sources, and find only the top three US states by area and the top three US states by population:

Let's see what happens when we divide these to compute the population density:

The resulting array contains the union of indices of the two input arrays, which could be determined using standard Python set arithmetic on these indices:

Pandas Github

Any item for which one or the other does not have an entry is marked with NaN, or 'Not a Number,' which is how Pandas marks missing data (see further discussion of missing data in Handling Missing Data).This index matching is implemented this way for any of Python's built-in arithmetic expressions; any missing values are filled in with NaN by default:

If using NaN values is not the desired behavior, the fill value can be modified using appropriate object methods in place of the operators.For example, calling A.add(B) is equivalent to calling A + B, but allows optional explicit specification of the fill value for any elements in A or B that might be missing:

Index alignment in DataFrame¶

A similar type of alignment takes place for both columns and indices when performing operations on DataFrames:

Notice that indices are aligned correctly irrespective of their order in the two objects, and indices in the result are sorted.As was the case with Series, we can use the associated object's arithmetic method and pass any desired fill_value to be used in place of missing entries.Here we'll fill with the mean of all values in A (computed by first stacking the rows of A):

The following table lists Python operators and their equivalent Pandas object methods:

Python OperatorPandas Method(s)+add()-sub(), subtract()*mul(), multiply()/truediv(), div(), divide()//floordiv()%mod()**pow()

Ufuncs: Operations Between DataFrame and Series¶

When performing operations between a DataFrame and a Series, the index and column alignment is similarly maintained.Operations between a DataFrame and a Series are similar to operations between a two-dimensional and one-dimensional NumPy array.Consider one common operation, where we find the difference of a two-dimensional array and one of its rows:

According to NumPy's broadcasting rules (see Computation on Arrays: Broadcasting), subtraction between a two-dimensional array and one of its rows is applied row-wise.

In Pandas, the convention similarly operates row-wise by default:

If you would instead like to operate column-wise, you can use the object methods mentioned earlier, while specifying the axis keyword:

Note that these DataFrame/Series operations, like the operations discussed above, will automatically align indices between the two elements:

This preservation and alignment of indices and columns means that operations on data in Pandas will always maintain the data context, which prevents the types of silly errors that might come up when working with heterogeneous and/or misaligned data in raw NumPy arrays.

< Data Indexing and Selection | Contents | Handling Missing Data >

Display pandas dataframes clearly and interactively in a web app using Flask.

Web apps are a great way to show your data to a larger audience. Simple tables can be a good place to start. Imagine we want to list all the details of local surfers, split by gender. This translates to a couple of pandas dataframes to display, such as the dataframe females below.

Transforming dataframes into html tables

Using the pandas function to_html we can transform a pandas dataframe into a html table. All tables have the class dataframe by default. We can add on more classes using the classes parameter. For example, writing

results in a html table with the classes dataframe female as shown below.

Prepare the file structure for flask app

The simple_tables directory will contains all the scripts, css and html needed for the web app to run. The script site_tables.py will sit in this directory, and from here we will run the app and populate the app’s pages. Any html templates must be stored in the templates directory. Any css sheets must be within the static directory.

Below is the file structure I have used for this surfing example.

Create a flask app that pulls the dataframes

We can create a page on our web app called tables. Every time this page loads, we pull the data, filter and format to get two dataframes, females and males.

The dataframes are then transformed into html tables with classes dataframe female and dataframe male respectively. These html tables are sent as a list to the template view.html, which is stored in the templates directory. We also send a list of titles to use as a heading for each table.

Running the app using debug=True allows the app to auto-update every time the code gets edited.

Define the html template using jinja2

The html template view.html pulls css from the style sheet style.css in the static directory. We will check out the css in the next section.

Next, the jinja2 language allows us to loop through the html table list tables. Using loop.index provides the index of the loop. This starts from 1 so we need to convert between python list indices and those for jinja2 loops. Then we can pull out the correct title for each table.

For each table in the list, the table title is shown, and then the table itself. safe tells jinja2 to show this parameter as a html object.

Style the tables with css

We can use the following styling to make the tables a bit more pretty. The classes male and female have been defined with different header colours. This enables us to highlight different groups of tabled data from the initial site_tables.py script.

Github Pandas Tutorial

Some nice touches include using tr:nth-child(odd) and tr:nth-child(even) to have alternate row colours. Also tr:hover gives an interactive feel to the tables.

View the web app

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Running the script site_tables.py from bash will serve the web app on your local host. Your web page should look like the one below.

Pandas Github Issues

Feedback

Pandas Github License

Always feel free to get in touch with other solutions, general thoughts or questions.

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Top 5 Free Best App for solving math problems

App for solving math problems - Free Best App for solving math problems - The math is not your strong point and looking for a tool that can help you understand it better? Would you like to rely on technology to solve mathematical expressions and geometry problems? Would you like to install applications on your mobile device that show you the solution of the equations step by step? No problem. In fact, with today's tutorial, I will show you some of the best apps for solving math problems that you can install on your smartphone or tablet to improve your understanding of this subject and solve the most common problems related to it. There are numerous solutions of this type: there are apps that allow you to find the result of expressions simply by framing them with the camera of your device, others that allow you to find the answer to financial math problems and there are even web applications that work directly in the browser. . If your desk is flooded with unsolved problems, what else are you waiting for? Take five minutes of free time to read the next few paragraphs carefully and see which of these apps can be right for you. But please, use them only to study better and not to make your life easier without committing yourself!a Free math problem solving app Let's get straight into the guide by seeing some free math problem solving apps . You can find them listed below. Photomath (Android/iOS/iPadOS) Among the best solutions that it offers you today there is Photomath , an app for solving average math problems (and not only), which allows you to find the solution of algebraic expressions, linear, quadratic and absolute equations / inequalities, systems of equations, logarithms, exponential and logarithmic functions, derivatives, integrals and much more. It is available for Android devices (you can check its availability on alternative stores, if you have a device without Google services) and iOS / iPadOS . Basically it is free, but to access in-depth mathematics explanations, a subscription is required starting at € 10.99 / month. After installing and starting Photomath, select the interface language (eg Italian ), press the Let's go button and scroll through the information sheets that show you how it works; then press on the Done item (alternatively, you can also press on the word Skip , if you want to skip this step). Before using the app, specify your age , press the Next button , indicate if you are a student , a parent or a teacher and tap the Done button . Afterwards, grant Photomath all the permissions it needs to work. One of the main functions of Photomath, the one that in fact made it famous, is the one that allows you to solve mathematical expressions framing them with the camera. To do this, frame the expression of your interest, making sure that it is well focused in the box in the center of the screen, press the shutter button and, if everything went well, it will appear on the display of the device in use in digitized form. Almost immediately, the result of the expression will also be shown: by pressing on the item Show the steps of the solution , you will be able to see information about the resolution of the problem posed, some explanations on how the expression was solved and, moreover, by pressing on the various steps you will also be able to see all the mathematical rules that have been applied, with detailed explanations that will help you review some fundamental concepts. If desired, Photomath also allows you to solve expressions by typing them "manually". To do this, press the Calculator button and, through the new screen opened, write the expression using the numbers and mathematical symbols you see on the screen. Also in this case, the calculation will be made almost instantly and you will be shown all the steps and explanations of the case. Convenient, right? Solve Expressions (Android / iOS / iPadOS) A solution to consider to solve numerical and literal expressions, even with fractions and powers, is Solve Expressions , which is available for Android (you can check its availability on alternative stores, if you don't have access to the Play Store) and for iOS / iPadOS and allows you to solve numerical and literal expressions, with fractions and powers, showing the various steps that lead to the resolution of the mathematical problems posed. It needs an active Internet connection to work. After you have installed and launched Solve Expressions on your smartphone or tablet, all you have to do is press the Write an expression text field at the top of the screen. Then you have to press on the button with the arrow pointing to the right (top right). When writing the expression, it will be useful to know that you can call up the dedicated keyboard by pressing the blue button (top right). After writing the expression and pressing the arrow, you will be able to see the various steps that lead to the solution of the problem on the screen you are in, under the heading Resolution . Simple, right? More apps for solving math problems In addition to the solutions proposed in the previous paragraphs, there are other apps for solving math problems that you can consider. They allow you to view the result of the problems and, sometimes, also to access forms to quickly find the formula useful for the calculation. - Microsoft Math Solver ( Android / OS / iPadOS ) - is a free solution from Microsoft, through which it is possible to perform mathematical calculations in a simple and fast way, both by framing the expressions to be solved using the camera of your device, or by writing them "manually" . - Free math formulas ( Android / iOS / iPadOS ) - app that does not propose the solution of the problem but helps to solve it. With Free Math Formulas, in fact, it is possible to access a form of mathematics, geometry, relations and functions and data and predictions, with a search function that allows you to quickly find the formula of interest. - OneMath ( Android ) - conceived by Italian developers, OneMath allows you to quickly solve complex calculations, solve numerical expressions, second and third degree equations, systems with two and three unknowns. In addition, it offers useful tools such as the triangle solver, the base converter and the matrix solver. - 6284 Calc ( iOS / iPadOS ) - “Don't memorize a formula in your life anymore” is the slogan of this application developed by a Californian student. 6284 Calc allows you to quickly find the solutions of mathematical problems, answering questions of algebra, geometry but also chemistry and physics. It costs € 2.29. Free financial math problem solving app Are you an economics student looking for free financial math problem solving apps ? Then take a look at the solutions proposed below: I am sure you will find someone suitable for you. Multifunction Calculator (Android) The first solution that I invite you to try is Multifunction Calculator , an app available only for Android (you can get it from an alternative store if you have a device without the Play Store) which, as the name suggests, is dedicated to various mathematical calculations. gender, including those belonging to the financial sector: from the calculation of the discount to that of loans, passing through that of VAT. Basically it is free, but by purchasing the paid version, which costs 4.29 euros, it is possible to remove the ads (not too invasive) present in the free version. After installing and starting Multifunction Calculator, press the No, Thanks button , so as to avoid seeing personalized ads based on your Web activity, and tap the Close this window button . Now, follow the short tutorial that informs you of the operation of the app, following the instructions you see on the screen. To make a calculation, then press the button (≡) (upper left), select the type of calculation you want to perform (eg. Calculator Off , Calculator Loan , calculator VAT , etc.) and compiles the proposed module with all the data necessary to perform the calculation (eg Loan amount , loan interest rate , additional price , discount , VAT , etc.) and, finally, presses the symbol (=) to proceed with the calculation. Calc Pro + (iOS/iPadOS) If you have an iPhone or iPad, the financial calculator app I recommend you try is Calc Pro + . It is a solution for iOS / iPadOS that allows you to use 10 different types of calculators, including one suitable for financial calculations, through which it is possible to calculate mortgages, loans, interest, break-even points, write-downs, compound interest, etc. . Basically it is free, but access to all functions requires the purchase of the paid version, which costs 8.99 euros. After installing and starting Calc Pro +, press the Free button and then the bulleted list symbol (top left), then select the word Financial . Now, press on the name of the calculation set by default (eg. Loan calculator ) and select the type of calculation of your interest through the menu opened at the bottom (eg. Mortgage , Compound interest , Profit margin , etc.). Once you have made this choice, tap on the word OK in the menu in question and fill out the form proposed with all the data necessary to make the calculation (eg Interest rate , initial value , etc.). Then press the Calc button and check the result. Simple, right? More apps for solving financial math problems If you're interested, check out these other apps for solving financial math problems as well and see if any of them might be for you. - Financial Calculator ( Android ) - this is an app for Android devices that includes a financial calculator (as well as a scientific calculator), by means of which simple interest, compound interest, simple interest, compound interest, can be calculated quite easily and quickly. exchange rates, various financial indices and more. - Financial Calculator ( Android ) - calculator suitable for carrying out financial calculations (VAT, simple interest, compound interest, etc.), which is available exclusively on Android and which has the interface translated into Italian. - Financial Calculator ( iOS / iPadOS ) - app that has the same name as the one mentioned in the previous point, but which in fact is developed by another software house and is only available for Apple devices. It costs € 1.09. - Financial Calculator ( iOS / iPadOS ) - is one of the best apps for making financial calculations on the App Store. It allows you to make calculations in a simple and intuitive way, thanks to its well-organized user interface. It costs € 3.49. App for solving math problems online I conclude the guide by talking to you about an app for solving math problems online, or about Risolviespressioni.it (Web version of a well-known app, which I also told you about in one of the previous chapters). This easy-to-use solution allows you to solve mathematical expressions and also deepen your knowledge of the theory through the section dedicated to theory. To be able to use it, connected to the home page of the site , write the expression to be solved in the text field located in the center, make sure that under the heading Preview the text of the expression is written correctly (otherwise make the necessary corrections) and click on the blue Solve button . In a few moments, you will be able to see the correct result and, in the Resolution section , you will also be able to see the various steps that were necessary to complete the calculation. I also point out that in the Lessons section , reachable by clicking on the wording at the top, you can study various topics concerning mathematics (eg criteria of divisibility , fractions , properties of powers , etc.). There are many other expression solving sites that might come in handy - check out my tutorial on the topic to find out more. Read the full article

[ghostlymallow]

Update!

Below are some super rambling process notes from this session!

Process

Pseudo-paint over. I used primarily various blending and dry-media brushes to smooth-over and make regions of values clearer. There are parts of this I like quite a lot (I love how glowy the palmetto fronds are, and the sense of depth in the bush trunks), but overall there were still issues.

I spent a lot of time on this one sketch. Working and reworking out the composition. Trying to figure out what was still bugging me about it. And also trying to solidify some of the messy and unclear parts of the first version. Created a loose lineart pass for working with color and value.

Value pass. One thing I always struggle with is finding the balance between using too simple and too complicated (and wishy-washy and muddled). I think I’m getting better? This pass was important to re-orient myself with as few values as possible (as opposed to the above sketches which are still rather varied)

Flat colors+multiply shading layer. Almost considered working with values and color at the same level, but I think compartmentalizing it this way resulted in better color selection. 

One thing that I wish Krita had was an HSL/HSV slider in the Specific Color Docker. If it exists elsewhere, pls let me know! I’m currently using mostly the Advanced Color Selector and the Small Color Selector, which work for the most part. I really just want a saturation color slider that wasn’t on a two-axis selector or compartmentalized into primaries.

But I digress

ANYHOW

As I was working on the above shading, I felt compelled to change around the composition again. This time, with the added depth on the bushes, I had a clearer idea of what the final might look like. So I screenshotted what I had and with select and transform tools, I rearranged elements to fit better. I exaggerated the slope of the bushes so it doesn’t read as a rectangle, I’m much happier with this. I repositioned the eyes up, and I think it actually landed on the third. I didn’t go into it thinking “oh i should put the eyes on the third” but it’s really cool to think about how ingrained that sense of compositional balance is to our brains (or at least to mine).And then painted over again to fill in the gaps. I also added some more trees and changed the color of the background trees because darkening and reddening them felt out of place, so instead I blueshifted them (no I did not have them travel towards me at speeds so great that the doppler effect was noticeable on the lightwaves)

Going Forward

Nix the square roots. (maybe just express it with logarithms instead haha) There is just too much going on for them to read well, even though I loved how whimsical they felt in the sketch. I want to use this, perhaps on a bald cypress or mangrove.

Add highlights to the bush and flowers where needed, but not too much that it distracts from the focal point.

More Foliage? Or at least more visual variety in the corner around the tree trunk. Even though it reads well up-close, it looks empty from far away. I also want to fix the way the bush wraps around the tree trunk.

Kinda like how the colors spill over the edge. I might play with this idea, if not here, then somewhere else.

Otherwise, I’m happy with the direction this is going. I’m glad I’m taking the time to troubleshoot and iterate before rushing headlong into things.

I've decided to redo this piece from this past year's inktober

I really like the concept and a lot of the execution, but it's hard to see past all the messy hatching and busyness

I'm hoping to make this clearer and more pleasing and understandable to look at

here are the sketches I've just completed. I'm struggling with the values and just the overall composition. Now, I'm considering a draw-over of the original. This time, only lineart. Then with the lines, filling in and testing out different executions of the values (and colors too, hopefully lol)

[allmathtricks]

In this video we know about the following types of examples in logarithms tutorial

·         Logarithm Examples and Answers

·         Find the value of logarithmic expression  

·         Find the value of  log (2a + 3b)

·         Find the value of log 10 15 + log 10 2

·         log x = log 9.6 - log 2.4, then find the value of x

·         Find the value of  Log 625 √125

·         log (x2 - 6x + 6) = 0 , then find the value of  x

[tutorsof]

MA24S : College AlgebraQuestion 1Solve the following equation. Determine whether the equation is an identity, conditional equation, or an inconsistent equation: 7(x - 4) = x + 2{-7 ,conditional}{7, Identity}{5, conditional}{2, inconsistent equation}Question 2Solve the following equation. Determine whether the equation is an identity, conditional equation, or an inconsistent equation: 7x + 13 = 2(2x - 5) + 3x + 23Ø; conditional equationØ; Inconsistent equationØ; identity equation{-1}; Inconsistent equationQuestion 3Determine the value of A so that the line whose equation is Ax + y - 2 = 0 is perpendicular to the line containing the points (1, -3) and (-2, 4).– 3/75/9–2/53/8Question 4Find the horizontal asymptote as x --> 8 and then describe what this means in practical terms. F(x) = 150x + 120/0.05x + 1; the number of bass, f(x), after x months in a lake that was stocked with 120 bass.the number of bass, f(x), after y months in a lake that was stocked with 130 bassthe number of bass, f(x), after x months in a lake that was stocked with 120 bassthe number of bass, f(x), after x months in a lake that was stocked with 140 bassthe number of bass, f(x), after x months in a lake that was stocked with 150 bassQuestion 5Log4(3x+2) = 3Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation, to two decimal places, for the solution:{16/2}{62/3}{9/3}{11/5}Question 62x+5y = -23x-4y = 20Solve the following system:{(4, -1)}{(1, -3)}{(4, -2)}{(1, -5)}Question 7x-2y+z=22x-y-z=1Solve the following system of equations using matrices:{(t, t 1, t)}{(t, t 0, t)}{(t, t - 2, t)}{(t, t - 1, t)}Question 83x+y-2z = -32x+7y+3z = 94x-3y-z = 7Solve for x only using Cramer's Rule.x = 7x = 9x = 2x = -3Question 9X2 25 + (y-2)2 /36 = 1For the following ellipses determine location of its foci.foci at (0, 2 + v11), (0, 2 - v11)foci at (0, 5 + v21), (0, 5 - v21)foci at (0, 3 + v25), (0, 3 - v25)foci at (0, 1 + v36), (0, 1 - v36)Question 10You are taking a multiple-choice test that has five questions. Each of the questions has three answer choices, with one correct answer per question. If you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the questions?198 ways290 ways243 ways364 ways

http://myhomeworkmarket.blogspot.com/2020/12/ashworth-semester-exam-ma24s-college.html

[mountaintimeanalytics]

Week 2: Running Your First Program

For the Week 2 assignment, I will show below my Python code from the Spyder editor pane, then the results of the script from the console pane, which includes the frequency tables for 3 variables, then I will provide a summary of the work.

Using the GapMinder dataset csv on my local computer, here is the script:

"""

Created on Tue Dec 01 10:01:22 2020

@author: jk

"""

import pandas

import numpy

# import additional libraries here

# get dataset from csv in local python folder

data = pandas.read_csv('gapminder_copy.csv', low_memory=(False))

# check number of data rows and data columns

print('rows in dataset')

print(len(data))

print('')

print('variables in dataset')

print(len(data.columns))

print('')

# check data type or format of variable(s)

data['femaleemployrate'].dtype

print('datatype of femaleemployrate:')

print(data['femaleemployrate'].dtype)

print('')

#set variables to numeric and remove errors caused by nulls

data['femaleemployrate'] = pandas.to_numeric(data['femaleemployrate'], errors='coerce')

data['employrate'] = pandas.to_numeric(data['employrate'], errors='coerce')

data['incomeperperson'] = pandas.to_numeric(data['incomeperperson'], errors='coerce')

# set bin groups for grouping quantitative variables for frequency tables

bin1=[0,20,40,60,80,100]

bin2=[0,10,20,30,40,50,60,70,80,90,100]

bin3=[0,100]

bin4=[0,5000,10000,50000,150000]

l1=['NaN','other']

totalrows1 = len(data)

# return count data

print("total rows is ", totalrows1, "and rows of femaleemployrate with valid data is ")

validrows1 = data['femaleemployrate'].value_counts(bins=bin3, sort=False)

print(validrows1)

print("note: learn to perform this calculation in a later lesson")

print('')

# now make count and percentage frequency tables for 3 variables

print('Count and percentage frequency tables:')

print('')

#femaleemployrate is c1 and p1

print("Count of variable femaleemployrate in 5 bins ")

c1 = data['femaleemployrate'].value_counts(bins=bin1, sort=False)

print(c1)

print('')

print("Percentages for 5 bins for femaleemployrate")

p1 = data['femaleemployrate'].value_counts(bins=bin1, sort=False, normalize=True)

print (p1)

print('')

#femaleemployrate is c2 and p2

print("Count of variable employrate in 5 bins ")

c2 = data['employrate'].value_counts(bins=bin1, sort=False)

print(c2)

print('')

print("Percentages for 5 bins for employrate")

p2 = data['employrate'].value_counts(bins=bin1, sort=False, normalize=True)

print (p2)

print('')

#incomeperperson is c3 and p3

print("Count of variable incomeperperson in 4 bins ")

c3 = data['incomeperperson'].value_counts(bins=bin4, sort=False)

print(c3)

print('')

print("Percentages for 4 bins for incomeperperson")

p3 = data['incomeperperson'].value_counts(bins=bin4, sort=False, normalize=True)

print (p3)

print('')

# which high femaleemployrate countries have low incomperperson

# make a subset of the data

sub1=data[(data['femaleemployrate']>=75) & (data['incomeperperson']<=5000)]

sub2=sub1.copy()

# list of low income, high femaleemployrate is c4

print("list of low income, high femaleemployrate")

c4 = sub2['country'].value_counts(sort=False)

print(c4)

print('')

When I run the script, here are the results that appear in the console pane:

rows in dataset

213

variables in dataset

16

datatype of femaleemployrate:

object

total rows is  213 and rows of femaleemployrate with valid data is

(-0.001, 100.0]    178

Name: femaleemployrate, dtype: int64

note: learn to perform this calculation in a later lesson

Count and percentage frequency tables:

Count of variable femaleemployrate in 5 bins

(-0.001, 20.0]     7

(20.0, 40.0]      45

(40.0, 60.0]      96

(60.0, 80.0]      27

(80.0, 100.0]      3

Name: femaleemployrate, dtype: int64

Percentages for 5 bins for femaleemployrate

(-0.001, 20.0]    0.032864

(20.0, 40.0]      0.211268

(40.0, 60.0]      0.450704

(60.0, 80.0]      0.126761

(80.0, 100.0]     0.014085

Name: femaleemployrate, dtype: float64

Count of variable employrate in 5 bins

(-0.001, 20.0]     0

(20.0, 40.0]       5

(40.0, 60.0]      99

(60.0, 80.0]      68

(80.0, 100.0]      6

Name: employrate, dtype: int64

Percentages for 5 bins for employrate

(-0.001, 20.0]    0.000000

(20.0, 40.0]      0.023474

(40.0, 60.0]      0.464789

(60.0, 80.0]      0.319249

(80.0, 100.0]     0.028169

Name: employrate, dtype: float64

Count of variable incomeperperson in 5 bins

(-0.001, 5000.0]       115

(5000.0, 10000.0]       28

(10000.0, 50000.0]      43

(50000.0, 150000.0]      4

Name: incomeperperson, dtype: int64

Percentages for 5 bins for incomeperperson

(-0.001, 5000.0]       0.539906

(5000.0, 10000.0]      0.131455

(10000.0, 50000.0]     0.201878

(50000.0, 150000.0]    0.018779

Name: incomeperperson, dtype: float64

list of low income, high femaleemployrate

Laos            1

Mozambique      1

Rwanda          1

Madagascar      1

Tanzania        1

Guinea          1

Burundi         1

Uganda          1

Burkina Faso    1

Name: country, dtype: int64

Summary of Week 2 assignment:

The GapMinder dataset does not have categorical variables, only quantitative variables. This makes doing this week’s assignment difficult as we are expected to use the value_counts function  to get counts by category for 3 variables. I checked the discussion forums and learned how other students worked around this issue, then I also searched online, mostly using the Stack Overflow website and pandas documentation to find a solution.

I used the “bins” parameter and experimented with different sized bins until I was satisfied that my frequency tables would show interesting information. Since I am concerned with how female employment rate of a country is associated  with a country’s income per person, I chose to do count and percentage frequency tables for the variables femaleemployrate, employrate and incomeperperson. I found that segmenting the data into quintiles represented the frequency distribution of the data in a meaningful way.

I also had to search online to find a way to represent missing data from the dataset and I hope to find a better solution later on in the course. Since the femaleemployrate variable has percentage values expressed as int64 values from 0 to 100, I chose to get a count of values in that column using the bin parameter.

I found 178 out of 213 rows had valid data for the femaleemployrate variable. In future assignments, I will make subsets of the data where I exclude observations unless there is data in all the columns I am working with.

I found similar amounts of femaleemployrate and employrate in the 40% to 60% range. By using the same 5 bins for the frequency tables of both of these variables, we can see that the distributions definitely skew lower for femaleemployrate vs. overall employrate.

When I looked at the frequency tables for incomeperperson, I noticed that more than half the countries have a value of less than $5000 per person. I chose to segment the bins in a way that is similar to a logarithmic scale, due to how many observations skew to the lower end of the scale. While I plan on drilling deeper into the lowest bin ($0 to $5000) in later assignments, for now I am satisfied to look at the data for incomeperperson as I have represented it here.

At this point, I thought it would be interesting to see which countries had a high femaleemployrate (of greater than 75%) but also had low incomeperperson (less than $5000), so I created a subset of the data and used the value_counts function to get the list of country names, finding 9 countries that met those criteria. As this project continues, I hope to look at additional variables that might explain why this countries are so anomalous from the rest of the dataset.

[algebracalculatoronline-blog]

Require Online Help to Solve Equations

Algebra Two is the second portion of college algebra taught to pupils of middle age. Algebra 1 is educated pupils of primary courses and algebra 3 into the pupils of higher courses. Algebra 1 comprises all of the fundamental concepts of algebra, where children learn several kinds of operators, their execution, exponents, radicals, one- factor expressions, ratios and proportions, and a lot more. Following this, pupils move to next amount of algebra. In algebra two, pupils make recognizable radical sayings, percentage, exponential functions, logarithmic functions, graphing functions, quadratic equations, and several other subjects. algebra calculator simplify 3 is the final path of college algebra following this pupils move to school algebra. In algebra 3 children find out some challenging topics of math such as complex numbers, conics, quadratics, proof by contradiction and irrational origins, binomial coefficients, and lots of other such issues.

I would like to draw your attention Towards equations, and also how to solve equations. In the following guide, I make you familiar with various kinds of equations which are included in algebra and ways of solving them. Equations are employed in all the various components of math and science equations play an essential part once we must solve word issues or other mathematics questions. First of all what is algebra? Algebra expresses the various relationships between factors, numbers, and operators. Algebra is enormous subject and it's plenty of equations such as linear equations, quadratic equations, cubic equations, etc. Equations simply inform the equality connection between two mathematical statements. The equations are constantly defined with an equal emblem. Let us exemplify equation with assistance of an illustration 2x + 6 = 8,

This really is a simple linear equation of level 1 In this we compute the value of x, 2x + 6 =8, 2x = 8- 6, 2x = 2 x = 2/2 x = 1

In This manner, by doing movement of constants, amounts we compute the value of variables and solve equations. In distinct branch of mathematics we have various equations such as, differential equations, integral equations, transcendental equations, polynomial equations, etc.. Do not become afraid from such significant names you may solve these equations by making use of online aid and solvers.

Now, you have the Short gist of equations and how to resolve them. Now, We'll talk about About prep Many pupils believe homework as portion of time and They constantly attempt to steer away from this and copy homework in their own Friend's backup. For This Reason, pupils hamper their ability of solving Different math issues. Today, students can take assistance of internet tutors And homework helper tool to fix their assignment questions. Employing these Tools, students can quickly learn the method of solving different mathematics Issues and they'll not ever move away from research, test and homework. When pupils use these tools, they Won't Ever ask the questions such as Who'll do my assignments. So pupils, feel free to enjoy math With assistance of internet tools and solvers.