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For those of you who have spent years stretching “tight” hips and had no real improvements , you’re chasing the wrong rabbit down the wrong hole.

If the muscle is actually tight, it should be able to become less tight by stretching, and those gains should be permanent if they are appropriate to the restriction. The muscles are hanging on to give stability to some other part of the body, probably the lumbar spine.

The muscles of the hip that resist internal rotation are primarily found on the lateral aspect of the hip.

These muscles play a key role in providing lateral stability to the spine along with the obliques, psoas, serratus anterior and latissimus dorsi. This is where the side plank comes in. It can help to stimulate these muscles and force them to work together to help stabilize the spine in a position that doesn’t allow compensation, and therefore can re-set the hip and core to allow the hip to move properly. Throw a leg raise in there and you have some ultra-mega-power lateral stability.

The muscles that resist external rotation are primarily found on the medial and front of the hip, and have a high correlation to anterior core instability. This is where the front plank comes in. When done properly, the hip flexors are held in a stretched position while the rectus abdominis is working in conjunction with the obliques and glutes to provide the best pelvic and spinal stability possible.

A good front plank should make your glutes incredibly tired from forcibly making them contract so that your hip flexors stretch and the abs bite down harder.

As an example of these concepts during the workshop in Tusla, I had one volunteer who had a history of anterior abdominal issues ( pregnancies that resulted in a still-present diastasis recti , or a separation of the two sides of the six-pack muscle) and tested her hips.

She had full flexion through the Thomas test, had decent internal rotation, but had barely any external rotation. Normal means that holding the hip flexed to 90 degrees, the leg should be able to be brought across the body to be in line with the opposite hip, or 90 degrees external rotation. These are just rough numbers, but they tend to hold up well with a wide selection of people.

So she had really poor external rotation. Instead of giving her the littany of hip stretches that wouldn’t do anything to fix the problem, I had her do a front plank, getting really specific to make sure she was in a neutral spine, getting a hard glute contraction, and making sure she was taking full deep breaths. She held this for about 15 seconds, or 3 deep breaths, and then I re-tested her hips.

“Oh my GAAAAAAAAAHHD!!!!” I believe were the words out of her mouth when she now had full external rotation range of motion. Again, we didn’t do any “stretching,” but she improved her range of motion dramatically, so much so that in 15 seconds she saw a greater increase inhip mobility than she’d seen in 10 plus years by working on different stretches and common kinesiological approaches to tightness versus stiffness.

Let Y_n = \sum_{i=1}^n X_i .

Let M_n = Y_n \big/ n = \frac{1}{n} \sum_{i=1}^n X_i . Thus, M_n is the RTRY WomenS Boots Spring Fall Winter Platform Comfort Novelty Patent Leather Leatherette Wedding Office amp;Amp; Career Dress Casual Party amp;Amp; Evening US4 / EU36 / UK3 Big Kids 9o0ajZ

Part (c) of the last exercise means that M_n \to \mu as n \to \infty in mean square . Part (d) means that M_n \to \mu as n \to \infty Sam Edelman Womens Carrin Espadrilles Blush Gold 10 M US Blue/Multi Gingham Print 0A3pHp
. These are both versions of the weak law of large numbers , one of the fundamental theorems of probability.

The standard score of the sum Y_n and the standard score of the sample mean M_n are the same: Z_n = \frac{Y_n - n \, \mu}{\sqrt{n} \, \sigma} = \frac{M_n - \mu}{\sigma / \sqrt{n}}

The equality of the standard score of Y_n and of Z_n is a result of simple algebra. But recall more generally that the standard score of a variable is unchanged by a linear transformation of the variable with positive slope (a location-scale transformation of the distribution). Of course, parts (a) and (b) are true for any standard score.

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, the other fundamental theorem of probability, states that the distribution of Z_n converges to the standard normal distribution as n \to \infty .

Suppose that A and B are events in our random experiment (that is, subsets of the sample space). The covariance and correlation of A and B are defined to be the covariance and correlation, respectively, of their indicator random variables \bs{1}_A and \bs{1}_B .

If A and B are events then

Recall that if X is an indicator variable with \P(X = 1) = p , then \E(X) = p and \var(X) = p (1 - p) . Also, if X and Y are indicator variables then X Y is an indicator variable and \P(X Y = 1) = \P(X = 1, Y = 1) . The results then follow from the definitions.

In particular, note that A and B are positively correlated, negatively correlated, or independent, respectively (as defined in the section on conditional probability ) if and only if the indicator variables of A and B are positively correlated, negatively correlated, or uncorrelated, as defined in this section.

If A and B are events then

These results follow from linear property and the fact that that \bs{1}_{A^c} = 1 - \bs{1}_A .

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with Moe Bandy, Jeannie Seely, and Johnny Rodriguez Presented by JMT Music Entertainment

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with Moe Bandy, Jeannie Seely, and Johnny Rodriguez Presented by JMT Music Entertainment

Join us Thursday, July 26th for a night of Pure Country featuringGene Watsonwith Moe Bandy, Jeannie Seely, and Johnny Rodriguez Presented by JMT Music Entertainment and sponsored by Pure Springer Mountain Farms. Dallas Wayne will be our emcee for the evening.

About Gene Warson

One of the most masterful voices in Country Music today, GENE WATSON still sings in the same key as 30 years ago and continues to prove why he is rightly referred to as “The Singer’s Singer”. His powerful voice and multi-octave range allow him to sing some of the most challenging songs with an ease that comes from pure, natural talent as well as from his many years performing onstage.On his most recent album release,Real.Country.Music., the 72 year- old Watson once again proves he’s the master of classic country music.After releasing his very first single in 1962, Watson is still touring constantly in the USA and abroad and remains proud to be known as an icon for “real country”.

About Moe Bandy

Moe Bandyis one of America's all-time leading classic country music Artist/Performer. Moe's long string of hits includes “Bandy The Rodeo Clown”, “Till I’m too old to die young”, “Americana” and dozens of other chart-toppers. The Texas singer with twin fiddles and steel guitar in the band keeps Texas-style Honkey Tonk music alive.

About Jeannie Seely

Along with many accolades including awards from Billboard, Cashbox and Record World, country music legend Jeannie Seely has achieved No. 1 songs as a solo artist, duet partner, and songwriter. Early in her career, Jeannie’s deeply moving vocals aptly earned her the nickname of “Miss Country Soul”. Jeannie’s recording of “Don’t Touch Me” not only topped the country music charts but also earned today Jeannie makes clear that it's still a thrill and an honor each time she performs on the Opry stage.

About Johny Rodriguez

Johnny Rodriguez is right back where he started coming full circle back to making the kind of honest country music that he and his fans always enjoyed. Fifteen of his singles rose to top ten, six of which were #1 hits. The first of the singles to reach number one was "Pass Me By". In the past 40 years, Johnny has released 35 albums and charted 45 singles. He has beat the pavement touring in every state in the U.S. and enjoys an enormous response when touring overseas in countries such as Switzerland, England, S. Korea, France, Spain, East West Germany, Japan, Belgium, Guam, Poland, Canada, and Mexico.

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