If (AB;CD)=k where A,B,C and D are any points on a line, show that (AC;DB)=1-k

I wrote out the cross ratios and simplified but I'm left with a messy fraction=1 because I substituted K for its value and brought it to the other side in the equation (AC;DB)=1-k

Any help would be appreciated!

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Going to be a bumpy ride but these current prices are screaming buy. Load up!

Personally I consider myself a growth investor, but I care about value metrics to invest with a margin of safety and avoid hype-traps. Here are some practical tools to assist when valuing companies before considering an investment.

First, some definitions:

Market Cap = # of shares * price of a share. The total value of a company.

Enterprise Value (EV) = market cap - cash on hand + debts. If you were to buy out the whole company this is what it would cost you. (May be more useful than market cap because it isn't distorted by debt levels.)

Value investing to me means thinking of a stock as ownership in an ongoing business (rather than just a ticker that moves up and down in price), valuing that business in terms of its future cash flows, and investing at a price where you have a margin of safety in case your estimated value of the business was inaccurate.

Valuation Metrics:

Some of these are easily displayed on various financial sites; others may require you to look into a company's balance sheet and build a spreadsheet yourself to calculate them. I'm writing this up to provide some of the intuition behind the numbers.

• Price/Earnings (P/E): everyone knows this one, including company managers, and there's strong motivation to "game" earnings through various tactics. Low P/E is the market expressing low expectations for future earnings growth. Buying low P/E stocks simply because they're "cheap" can drop you into value traps which are cheap for a good reason.

Typically Earnings will refer to past (trailing twelve months) earnings; you may instead want to consider future, projected Earnings. But sometimes projections are wrong.

• Price/Sales Ratio (P/S): earnings are easy to manipulate but sales figures, less so. A low P/S ratio means a company sells a lot relative to its market cap; it's possible they're not making much money because their operating margins are poor. If you think a company has the ability to improve profit margins, low P/S may find you a good value. [See Ken Fisher's old book, Super Stocks, for a full case about why low P/S is a good screen].

• Price/Book (P/B): book value is measure of a company's assets if added up by an accountant (often meaning original purchase price). Old Ben Graham "net-nets" would screen for book value to look for companies with more assets than enterprise value - worth more dead than alive - as ultimate margin of safety. However, those are basically never found these days, and with

https://doi.org/10.7754/Clin.Lab.2021.210109

https://pubmed.ncbi.nlm.nih.gov/34542962

Abstract

BACKGROUND

This cross-sectional study aimed to investigate the association between serum free fatty acids and high-density lipoprotein-cholesterol ratio (FHR) and nonalcoholic fatty liver disease (NAFLD) in a Chinese population.

METHODS

A total of 760 NAFLD subjects and 379 healthy controls who took their annual health checkups were enrolled during 2019. Fasting blood samples were obtained from the population. NAFLD was diagnosed based on hepatic ultrasound examination.

RESULTS

Serum FHR (*100) in NAFLD subjects was significantly higher than that in controls. We found that the serum FHR in NAFLD participants was positively correlated with BMI, DBP, WBC, HGB, ALT, AST, GGT, TG, FPG, UA, and hsCRP. Univariate and multivariate logistic regression analysis showed that FHR was independently associated with the presence of NAFLD. The area under curve (AUC) of the receiver operating characteristic (ROC) curve of FHR for NAFLD was 0.781 with the 95% confidence interval from 0.753 to 0.810. The optimal cutoff point of FHR for predicting NAFLD was 41.14 with 78.8% sensitivity and 77.3%, respectively.

CONCLUSIONS

FHR was significantly associated with NAFLD and may serve as an effective indicator in NAFLD patients.

------------------------------------------ Info ------------------------------------------

Open Access: False

Authors: Xuyao Zhang - Ziyan Lv - Juanwen Zhang - Ruoheng Zheng - Yuying Dai - Jiale Qin -

Additional links: None found

https://preview.redd.it/4owa6rytjkq61.png?width=1031&format=png&auto=webp&s=8a3899f1093dc58c9aa793b4cc84588c5b30e97a

Hello my friends, I believe we are close to form a golden cross on the 50/100 daily moving average on xmr:btc ratio.

The golden cross is when a short term moving average overcomes a long term moving average, and suggest price go up.

Well, I know that betting on ratio is betting not only in xmr outperforming the dollar but it outperforming btc. Nevertheless, I do not think it is impossible, as we have bottomed, ill long my longs, have fun friends

https://preview.redd.it/0r9edwc945s61.png?width=1005&format=png&auto=webp&s=c0861a836fc0dc229aec29b4eaad2c3ea6ae7ef8

Hello friends, as you might remeber, I said a while ago we were near a golden cross in the ratio, and now it is confirmed

The daily 20 EMA just crossed the 50 EMA, and there is increasing OBV. Those combined are a great indicator of where we are going.

According to fibonacci retracement, our first major resistance and potential taking profit area is at .00543.

Another exit strategy from long is at a bearish cross or a bearish divergence.

https://doi.org/10.5603/EP.a2020.0066

https://pubmed.ncbi.nlm.nih.gov/33125689

Abstract

Insulin resistance (IR) is a key and early pathogenetic mechanism of cardiometabolic diseases with huge potential if being early detected and mitigated, for lowering the burden of the diseases. Available data are conflicting to what extent adult thyroid dysfunction is associated with IR. Therefore, we aimed to investigate the association and to identify which thyroid parameters are predictors of IR.Insulin resistance (IR) is a key and early pathogenetic mechanism of cardiometabolic diseases with huge potential if being early detected and mitigated, for lowering the burden of the diseases. Available data are conflicting to what extent adult thyroid dysfunction is associated with IR. Therefore, we aimed to investigate the association and to identify which thyroid parameters are predictors of IR.After undergoing basic anthropometric and biochemical studies including thyroid hormones, oral glucose tolerance test (OGTT) and insulin, 1425 middle-aged individuals were divided into three groups according to the thyroid parameters: overt hypothyroidism (OH), subclinical hypothyroidism (SH) and euthyroidism (EU).After undergoing basic anthropometric and biochemical studies including thyroid hormones, oral glucose tolerance test (OGTT) and insulin, 1425 middle-aged individuals were divided into three groups according to the thyroid parameters: overt hypothyroidism (OH), subclinical hypothyroidism (SH) and euthyroidism (EU).The homeostasis model assessment of IR (HOMA-IR), fasting insulin and 2-hour glucose levels of OGTT showed a steady, yet insignificant, increase from EU through SH to OH. The strongest noted correlations were those of insulin levels with free triiodothyronine/free thyroxine (FT3/FT4) ratio (r = 0.206, p < 0.001) and FT3 (r = 0.205, p < 0.001). Also in the case of HOMA-IR, the only statistically significant correlations were observed with FT3 (r = 0.181, p < 0.001) and the FT3/FT4 ratio (r = 0.165, p < 0.001). Among other thyroid hormones, linear logistic regression proved the FT3/FT4 ratio as the only significant predictor of HOMA-IR (linear coefficient = 5.26, p = 0.027) and insulin levels (linear coefficient = 18.01, p = 0.023), respectively. Thyroid-stimulating hormone was not associated with IR in either correlation or regression analysis.The homeostasis