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Hematocrit is the fraction of a blood sample's volume occupied by red blood cells. It can be expressed as a dimensionless fraction or as a percentage:For example, of red blood cells in of blood corresponds to , or 45%. It is a volume fraction, rather than the number of cells per unit volume or the concentration of hemoglobin.
The denominator matters. In an idealized sample, adding of cell-free plasma to that mixture without changing its red-cell volume reduces hematocrit to . Thus a change in hematocrit does not by itself establish a change in the total number of red blood cells. Interpretation depends on both cell volume and the surrounding fluid.
Local measurements also need a specified sampling context. Capillary tube hematocrit is the instantaneous fraction of a small vessel's internal volume occupied by red blood cells; it need not equal the value in a collected systemic sample. C. Desjardins and B. R. Duling perfused capillaries with heparinase and observed at least a twofold rise in tube hematocrit without a significant change in red-cell velocity. Vehicle and heat-denatured-enzyme controls did not reproduce the response.[ref]
Heparinase treatment suggests a role for the endothelial cell glycocalyx in regulation of capillary hematocrit by C. Desjardins and B. R. Duling. Abstract: definition of tube hematocrit, in-situ enzyme microperfusion, controls and velocity measurements.
That experiment links local blood-cell distribution to the endothelial glycocalyx. A local increase can therefore reflect how cells occupy a vessel, without requiring production of new cells during the observation.
Bridge switching dead time is an intentional nonoverlap interval between complementary conduction commands in a power-switching leg. It allows the outgoing device to cease conducting before the incoming device conducts, reducing H-bridge shoot-through. The applicable interval depends on propagation and device switching delays, not only on the timestamps of ideal logic commands. Nexperia's primary bridge discussion introduces the delay between turning off one pair and turning on the other, while retaining a path for inductive current.[ref]
Using power MOSFETs in DC motor control applications by Nexperia. §4.1, Modes of switching, Figures 5–6
For an original timing bound, command the outgoing device off at and the incoming device on at . Let be the latest possible end of outgoing conduction, and the earliest incoming conduction delay after its own command. A sufficient nonoverlap condition in this delay model isWith an additional positive timing margin , chooseThe two switching directions can require different bounds. The inputs must cover the operating conditions for which the guarantee is claimed.
Suppose the latest turn-off completion is and the earliest turn-on delay is . Zero modeled overlap requires at least of commanded separation; a stipulated extra margin gives . Incoming conduction then starts no earlier than , leaving at least after the outgoing device has ceased. These numbers illustrate the bound rather than a particular gate-driver specification.
Longer separation also changes the output waveform. In an original half-bridge example with rails 0 and , suppose one nominal high interval per period is shortened by exactly , with the removed interval clamped to the low rail. The mean electric potential difference changes byFor , and , this is . The dead-time output-voltage error in a complete bridge depends on which intervals are replaced and on load-current direction; this one-pulse calculation does not supply a universal coefficient.
During nonoverlap, the electric current of an inductor cannot disappear instantly. Its path can pass through diodes or other permitted conducting devices, and the midpoint potential depends on that path. A proposed test records both actual transition timing and the resulting terminal waveform under the intended load conditions. It tests the timing margin and output distortion separately, instead of treating an increased programmed delay as a complete characterization.
H-bridge shoot-through is unintended conduction directly between the supply rails through devices in the same bridge leg. It differs from the intended load-current path through opposite legs of an H-bridge. Overlapping device conduction during switching can create that rail-to-rail path even when the intended logical states never command it. The manufacturer application note explicitly identifies cross-conduction as shorting the supply and introduces nonoverlap timing to prevent it.[ref]
Using power MOSFETs in DC motor control applications by Nexperia. §4.1, Modes of switching, bipolar-drive discussion and Figure 5
An original lumped fault-loop model shows why a short overlap can matter. Let a previously unenergized parasitic loop have electrical resistance , inductance and constant supply electric potential difference . During overlap,soFor , the initial ramp is ; the steady resistive value is not reached instantaneously.
Take stipulated , and , giving . An overlap lasting reaches about . The supply deliversSome of this energy remains in the loop's magnetic field at turn-off; it should not all be labeled heat dissipated in one switch. A overlap in the same ideal model reaches about , illustrating the nonlinear dependence on duration. Device and supply behavior can invalidate these constant-parameter assumptions.
Bridge switching dead time addresses timing overlap by allowing one conduction path to cease before the complementary one starts. An inductive load still needs a recirculation path while the controlled devices are off. TI's primary bridge lesson illustrates current paths during that interval.[ref]
A proposed diagnostic compares actual device control waveforms and supply-current transients with load current during transitions, using a limited-energy test arrangement. A large load current by itself does not identify shoot-through; the timing and path establish the mechanism. The calculated fault-loop pulse is an original model, not an asserted device rating.
PDGF means platelet-derived growth factor, a family of signaling protein ligands for PDGFR. Members form protein dimers, including the classical AA, AB and BB combinations.[ref]
Classification of Growth Factors and Their Receptors by Anna Bafico and Stuart A. Aaronson. Platelet-Derived Growth Factor Family: A and B chains and the three classical dimer combinations
Ligand binding can bring two receptors together and activate their receptor tyrosine kinase activity.[ref]Platelet-derived growth factor receptor in MeSH. Descriptor D017479: alpha and beta receptor types and ligand-induced receptor dimerization
Release from platelets links PDGF to local tissue responses after injury. Nearby connective-tissue cells can respond by entering cell proliferation.[ref]
Platelet-derived growth factor in MeSH. Descriptor D010982: platelet release and initiation of connective-tissue-cell replication
A fibroblast growth factor is a member of a signalling-protein family whose receptor interactions regulate processes including cell proliferation, survival and cell differentiation. Many members act through FGF receptors, a class of receptor tyrosine kinases. The historical family name does not limit their targets to fibroblasts. [ref]
Molecular Biology of the Cell, 4th edition by Bruce Alberts and others. Chapter 15, Signaling through Enzyme-Linked Cell-Surface Receptors: growth-factor receptors
FGF8 provides a developmental example: localized production, receptor distribution and surrounding regulatory interactions help determine where cells respond. A signal's spatial effect depends on more than its concentration at the source. Detecting FGF expression therefore identifies a potential signalling input, while receptor activation and a subsequent change in cell fate require separate evidence.
A GUI widget is an interactive or display component of a graphical user interface, such as a button, text field or list. It combines presentation, relevant state and responses to software events. Widgets can contain other widgets; a layout manager arranges them using their size requirements.[ref]
Qt Widgets documentation. Widgets and Layouts
For example, a numeric-entry GUI widget stores editable text, draws it and reacts to keystrokes. The text
1e can be a legitimate intermediate editing state even when the completed value must be numeric. Separating editing behavior from the application's data model makes that distinction manageable. A disabled button conveys interface state; server-side authorization still has to decide whether the underlying action is permitted.Grammatical tense locates an event or state relative to a temporal reference point, commonly the time of speaking. A language may mark it through verb forms or grammatical constructions. Temporal reference itself is broader: a time expression can convey when something happens without being a tense marker.[ref]
Tense in the SIL Glossary of Linguistic Terms. Definition and absolute/relative tense hierarchy
In the simple past statement “The train arrived”, the arrival precedes the speech time. Writing event time and speech time , this simple relation is . “The train was arriving” also has past tense, but changes grammatical aspect by presenting the arrival as unfolding. Thus the two categories answer different questions. A precise model states its reference point and interpretation; identifying a past-looking ending alone does not settle every temporal relation in a complex utterance.
Grammatical aspect presents a temporal view of an event or state, for example as ongoing or as a whole. It concerns how the event is viewed, whereas grammatical tense concerns its relation to a temporal reference point. Affixes and auxiliary constructions can express aspectual distinctions.[ref]
Aspect in the SIL Glossary of Linguistic Terms. Definition, Discussion and progressive example
Compare “The train arrived” with “The train was arriving”. Both locate the situation in the past, but the second presents an unfolding situation and does not by itself assert a completed arrival. Comparing “is arriving” with “was arriving” instead changes tense while retaining the progressive construction. Such contrasts help isolate which part of an interpretation comes from each grammatical choice. A formal semantics can encode those differences explicitly, rather than treating every temporal expression as the same kind of label.
A noun is a part of speech whose members commonly name entities or concepts and head noun phrases. Meanings alone do not supply a complete classification: a noun can name an event or property as readily as a physical object. Distribution and inflection provide additional grammatical evidence.[ref]
Universal Dependencies annotation guidelines. NOUN, Definition and examples including abstract nouns
For example,
explosion names an event, but behaves as a noun in the explosion and two explosions. Its connection with an event does not make it a verb; compare The shell exploded. Likewise, redness is a noun even though it names a property associated with the adjective red.In Universal Dependencies, the tag
NOUN is reserved for common nouns, with PROPN used for proper nouns. That distinction matters when reproducing an analysis: a count of every traditionally named noun is not necessarily a count of only tokens tagged NOUN.A verb is a part of speech that commonly organizes a clause, specifying relationships among its participants and contributing an event or state description. Forms of a verb may express grammatical tense, grammatical aspect or grammatical agreement, though the mechanisms differ across languages.[ref]
Universal Dependencies annotation guidelines. VERB, Definition and distinction between main and auxiliary verbs
Compare
Rin sleeps with Rin opens the box. The second construction contains an object in addition to its subject; knowing a verb includes knowing how it combines with other expressions. Calling verbs “action words” misses examples such as know, which describes a state.An annotation scheme must also define its boundaries. Universal Dependencies assigns main verbs the label
VERB while distinguishing auxiliary uses with AUX. Thus a traditional grammatical description and a particular computational tag inventory need not draw every boundary identically. Stating the scheme makes category counts in a text corpus interpretable.An adjective is a part of speech characteristically used to express properties and modify nouns. It can also occur in predicative constructions, as in
The cube is red. Its classification depends on its grammatical behavior, beyond whether its meaning sounds descriptive.[ref]Universal Dependencies annotation guidelines. ADJ, Definition, predicative use and Nouns vs. Adjectives
In an original simple formal semantics, let red objects form and cubes form . The expression
red cube can denote the intersection . This illustrates how an adjective can contribute a property to a noun phrase, while leaving the grammatical classification distinct from that particular semantic rule.Grammatical number is a grammatical category expressing count-related distinctions, commonly singular and plural, through word forms or grammatical agreement. It is a feature of a linguistic expression, not simply the numerical size of the thing being described. Its categories do not always correspond directly to the count of real-world referents.[ref]
The contrast
boat/boats marks singular versus plural on a noun. Yet These scissors are blunt can describe one tool while using plural forms and plural grammatical agreement. Conversely, a committee can denote several people through a singular noun. An annotation should therefore record the grammatical feature separately from an investigator's count of objects. Some languages distinguish a dual category for exactly two, showing that the inventory of number categories is itself an empirical question.[ref]Essentials of Linguistics (2nd edition) by Catherine Anderson and others. §5.7, Number, singular/plural and dual distinctions
Grammatical agreement is a formal relationship in which the form of one linguistic element requires a corresponding form of another. Grammatical number can participate in this relationship, but the features expressed and the elements involved vary among languages. Agreement is a constraint on connected grammatical elements, rather than a requirement that adjacent words merely resemble each other.[ref]
Agreement in the SIL Glossary of Linguistic Terms. Definition and Examples
Compare
The key to the cabinets is missing with The keys to the cabinet are missing. In these English examples, the verb form tracks the number of the subject's head noun, not the closest noun. An explicit model can assign Number=Sing to key and require the corresponding agreement form is. Changing the embedded noun cabinet to cabinets leaves that requirement intact. Such contrasts provide testable predictions for a proposed syntax and show why a rule based only on the nearest preceding word fails.A part of speech is a grammatical word category identified by patterns of distribution, combination and, where relevant, inflection. Categories such as noun, verb and adjective help describe what an expression can do in a construction. Meaning is evidence, but a rule equating a category with one broad kind of meaning is insufficient.
For example,
record is a noun in the record and a verb in record the result. The same spelling can therefore require different labels when its context changes. A computational annotation scheme must state whether it assigns categories to lexical entries, individual occurrences or both.[ref]Morphology: General Principles in Universal Dependencies. Part-of-Speech Tags, context, prototypical usage and category distinctions
Universal Dependencies separates a broad part of speech label from additional grammatical features. Two forms can share the label
NOUN while differing in grammatical number. Keeping category and features distinct makes an analysis of a text corpus reproducible without multiplying category labels for every possible form. Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact





